(need help asap please this is urgent)

Use the systems of inequalities graphed below to answer the questions.


what is the inequality symbol of the green line?

-y is greater than ax+b -y is greater than or equal to ax+b

-y is less tham ax+b

-y is less than or equal to ax+b

what is the inequality symbol of the green line?

-y is greater than ax+b

-y is greater than or equal to ax+b

-y is less tham ax+b

-y is less than or equal to ax+b

is the point (-3, -5) a solution to the system of inequalities?

-yes -no

is the point (1,6) a solution to the system of inequalities?

-yes -no ​

(need Help Asap Please This Is Urgent) Use The Systems Of Inequalities Graphed Below To Answer The Questions.

Answers

Answer 1

Answer:

Green line:  y is greater than or equal to ax+b

Purple line:  y is less than ax+b

(-3, -5) : Yes

(1, 6) : No

Step-by-step explanation:

When graphing inequalities:

< or > : dashed line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.

Green line

From inspection of the given graph, the green line is a solid line and the shading is above the line.

Therefore, the inequality symbol of the green line is ≥.

"y is greater than or equal to ax+b"

Purple line

From inspection of the given graph, the purple line is a dashed line and the shading is below the line.

Therefore, the inequality symbol of the purple line is <.

"y is less than ax+b"

The solutions to a graphed system of inequalities are found in the overlapping shaded region.

Yes, point (-3, -5) is a solution to the system of inequalities as this point is in the overlapping shaded region.

No, point (1, 6) is not a solution to the system of inequalities as this point is not in the overlapping shaded region.

(need Help Asap Please This Is Urgent) Use The Systems Of Inequalities Graphed Below To Answer The Questions.

Related Questions

Explain the steps in solving 2.14x - 12.18 = -5.76, and write the solution to the equation.
WRITER
Someone please help me with this!!!

Answers

Answer:

x = 3

Step-by-step explanation:

You want to solve for x, so you want to get x on one side of the equation. To do this, you can add the -12.18 to both sides of the equation (you add since it's negative).

2.14x - 12.18 = -5.76

2.14x = 6.42

Then you want to get x by itself, without the 2.14 in front of it. To do this, you can divide both sides of the equation by 2.14.

This will give you,

x = 3

i need helpp.....................

Answers

Answer is y = -2/3x -5 is your equation

Step by step

We are looking to write slope intercept form
y = mx + b

See attached graph for notes

By reading the graph we can see “b”
or y intercept is -5 where the line crosses the y axis

We can find slope “m” by choosing two points on the graph and counting rise over run = -2/3

So fill in your known values

y = -2/3x -5 is your equation

Consider the expression 40+24 . Find the greatest common factor of the two numbers, and rewrite the expression using the distributive property.

Answers

The greatest common factor of 40 and 24 would be; 8.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers as;

8(5 + 3)

Using the distributive property, we get:

8(5) + 8(3) = 40 + 24.

Threfore,

The greatest common factor of 40 and 24 would be; 8.

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PLEASE HELP answer 6 and 7 best explanation gets brainliest

Answers

Answer:

Imma write it in the explanation

Step-by-step explanation:

6. interior angles, alternate angles

for c to be parallel with d, we need 2 and 7 to be interior angles (a+b=180°, u/c shaped), and 3 and 5 to be alternate angles (a=b, z shaped).

7. 1+3=180°, 2+4=180°

there were 2 parallel lines in a trapezium, so for the c shape on 1 and 3 they add up to 180°, and same thing to 2 and 4.


Problem Situation: Ike has $126 in his bank account. He gets $20 for his birthday.
He also has a part-time job that pays $8 per hour. How many hours will he need to
work to have $250 in his bank account?
.

Answers

Answer: 13h

Step-by-step explanation:

126 + 20 = 146
250 - 146 = 104
104 : 8 = 13

He will need 13h

Answer:

13.5

126 plus 20 is $146

250 minus 146 is 108

108 divided by 8 is 13.5

help!! please! i don’t understand

Answers

Answer:

[tex] 2 \sqrt[3] {60}~mm [/tex]

Step-by-step explanation:

The volume of a cube is the side cubed, so each edge is the cubic root of the volume.

V = 480 mm³

[tex] s = \sqrt[3] {V} [/tex]

[tex] s = \sqrt[3] {480~mm^3} [/tex]

[tex] s = \sqrt[3] {2^3 \times 2^2 \times 3 \times 5~mm^3} [/tex]

[tex] s = \sqrt[3] {2^3} \times \sqrt[3] {2^2 \times 3 \times 5~mm^3} [/tex]

[tex] s = 2 \sqrt[3] {60}~mm [/tex]

7. What is the equation of a line that is parallel to -x+3 y=6 and passes through the point (3,5) ?
y=___ x +_____

Answers

The equation of a line that is parallel to -x + 3y = 6 and passes through the point (3,5) is y = 1 / 3 x + 5

How to find the equation of a line?

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3,5) can be found as follows:

Parallel lines have the same slope.

-x + 3y = 6

3y = x + 6

y = 1  / 3 x + 2

Therefore, the slope is 1 / 3. Let's find the y-intercept using (3, 5).

y = 1 / 3 x + b

5 = 1 / 3 (3) + b

b = 5

Therefore, the equation is y = 1 / 3 x + 5

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a. When the relationship for a regression is positive, an X score above the mean will correspond to a Y score (above/below) the mean.b. When the relationship for a regression is negative, an X score above the mean will correspond to a Y score (above/below) the mean.

Answers

(a) For positive Linear Regression , Y score will be above mean .

(b) For negative Linear Regression , Y score will be below the mean .

What is Linear Regression ?

The term Linear regression analysis is used to predict the value of one  variable based on the value of another variable.

Part(a)

when the relationship of regression between two variables is positive then if one variable increase the other variable also increases ,

So , if the the x score is above the mean then the Y score will be also above the mean .

Part(b)

when the relationship of regression between two variables is negative then if one variable increase the other variable decreases ,

So , if the the x score is above the mean then the Y score will be below the mean .

Therefore , (a) Y score will be above the mean .

(b) the Y score will be below the mean .

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One requirement can be met while the other fails. Show this by finding
(a) A set of vectors in R2 for which x+y stays in the set but 1/2x may be outside.
(b) A set of vectors in R2 (other than two quarter-planes) for which every cx stays in the set but x+y may be outside.

Answers

Forever c x stays in the set but x+y may be out side the set.

What is set?

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

a consider the set of vectors in [tex]$\mathbb{R}^2$[/tex]

[tex]A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid x_2 \geqslant 2\right\} .$$[/tex]

where[tex]$x=\left(x_1, x_2\right)$[/tex]

Then for any [tex]$x=\left(x_1, x_2\right), y=\left(y_1, y_2\right) \in A$[/tex]

ere that[tex]$x+y=\left(x_1+y_1, x_2+y_2\right) \in A\left(\right.$ Since $x_2+y_2 \geqslant 2+2$[/tex]

But take [tex](4,2) \in A$.[/tex]

Then [tex]\frac{1}{2}(4,2)=(2,1) \notin A$.[/tex]

ce. [tex]$\frac{1}{2}(4,2)$[/tex] belongs outside the set

i.. I some vectors in A such that[tex]\frac{1}{2} x \notin A$[/tex].

b Consider the set of vectors in [tex]$\mathbb{R}^2$[/tex]

[tex]A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid \begin{array}{ll}\frac{1}{2} x_1 \leq x_2 \leq \frac{3}{2} x_1 & \text { if } x_1 \geqslant 0 \\\frac{3}{2} x_1 \leq x_2 \leq \frac{1}{2} x_1 & \text { if } x_1 < 0\end{array}\right\}$$[/tex]

The geometrical representation of this set is

see that for any scalar [tex]$c, \quad c x=e\left(x_1, x_2\right) \in A$[/tex]. But if we take [tex](3,2) *(-2,3-3) \in A$ but $(3,2)+(-2,-3)=(1,-1) \& A$[/tex].

Thus forever c x stays in the set but x+y may be out side the set.

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Determine whether y varies directly with x If so, find the constant of variation and write the function rule.
Does y vary directly with x?
No
Yes
What is the constant of variation? Select the correct choice and fill in any answer boxes in your choice below.
A. k=__ (Simplify your answer. Type an integer or a fraction.)
B. There is no constant of variation.
What is the function rule? Select the correct choice and fill in any answer boxes in your choice below.
A. y=_____
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. There is no function rule.

Answers

The value of y varies directly with x, and the constant of variation is 3, and function rule y = 3x.

What is Direct Variation?

When one value is dependent on another i.e if one value increases with respect to another or if one value decreases with respect to another then we can say that the two quantities are in direct variation.

In simple words,  It is the relationship between two variables where one of the variables is a constant multiple of the other.

When two values a and b are varies directly then the relation between them can be shown as given below

=> a ∝ b

=> a = kb  here 'k' constant of variation

Here we have

x values    57   63   66  

y values    19    21    22  

Let's assume that y varies directly with x  

=>  y ∝ x

=>  y = kx ---- (1)  

Where k is the proportionality constant    

From (1)

We can write k = x/y

From the above calculations, if y varies directly with x then x/y must be a constant.

Now check whether the given value can give a constant

At  x = 57 and y = 19

[tex]= > \frac{x}{y} = \frac{57}{19} = 3[/tex]  

At  x = 63 and y = 21

[tex]= > \frac{x}{y} = \frac{63}{21} = 3[/tex]  

At  x = 66 and y = 22

[tex]= > \frac{x}{y} = \frac{66}{22} = 3[/tex]    

From the above calculation,

For given x and y values, x/y is always constant

Therefore,  

It is true that y varies directly with x, and the constant of variation is 3    

Here the function rule will be  y = x × constant of variation

=> y = 3x

Therefore,

The value of y varies directly with x, and the constant of variation is 3, and function rule y = 3x

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Question 4
May use your own graph paper for this question. Show all algebraic work for full By graphing, find the coordinates of the vertices of the original triangle H L K, give midsegment triangle MNP are M(-1,3), N(4,0), P(-2,-2).

Answers

With the mid segment of the triangle MNP as M (-1, 3), N (4, 0), P (-2, -2) the coordinates of the triangle are

(-7, 1), (5, 5), and (3, -5)

How to find the coordinates of the triangle when the mid segment is known

The coordinates is calculated from the midsegment using the formula

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

Vertex 1 and 2: point  M  (-1, 3),  

X

-1 = (x₂ + x₁)/2

-2 = x₂ + x₁

Y

3 = (y₂ + y₁)/2

6 = y₂ + y₁

Vertex 2 and 3:  point N (4, 0)

X

4 = (x₂ + x₃)/2

8 = x₂ + x₃

Y

0 = (y₂ + y₃)/2

0 = y₂ + y₃

Vertex 1 and 3:  point P(-2, -2)

X

-2 = (x₃ + x₁)/2

-4 = x₃ + x₁

Y

-2 = (y₃ + y₁)/2

-4 = y₃ + y₁

The equations

X

-2 = x₂ + x₁

8 = x₂ + x₃

-4 = x₃ + x₁

Y

6 = y₂ + y₁

0 = y₂ + y₃

-4 = y₃ + y₁

from -2 = x₂ + x₁, we find x₁ = -2 - x₂

plugging in x₁ = -2 - x₂ to -4 = x₃ + x₁ gives

-4 = x₃ + -2 - x₂

-2 = x₃ - x₂

then we have

8 = x₂ + x₃

-2 = x₃ - x₂

solving simultaneously

x₃ = 3, x₂ = 5 then x₁ = -2 - x₂ = -7

from 0 = y₂ + y₃, we find that y₂ = -y₃

plugging in y₂ = -y₃ into 6 = y₂ + y₁ gives

6 = -y₃ + y₁

then we have

-4 = y₃ + y₁

6 = -y₃ + y₁

solving simultaneously gives

y₁ = 1, y₃ = -5, then y₂ = -y₃ = -(-4) = 5

The vertex of the triangle are

(-7, 1), (5, 5), and (3, -5)

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0.2x + 2 = 0.2(4 - x)what is the solution of the equation?
show your work!!

Answers

Answer:

x = -3

Step-by-step explanation:

0.2x + 2 = 0.2(4 - x)

0.2x + 2 = 0.8 - 0.2x

0.4x = -1.2

x = -1.2/0.4

x = -3

Find the missing number/s so that the equation has One solution.

Select all that apply.



__x + 3 = –4x + 17

a
2
b
5
c
7
d
-4

Answers

Answer: Choice A, Choice B, Choice C

In other words, it's nearly everything but choice D.

====================================================

Explanation:

Let's say we select "2" as the thing to fill the blank.

2x+3 = -4x+17

2x+4x = 17-3

6x = 14

x = 14/6

x = 7/3

We get one solution in this case.

The same applies for the values 5 and 7. I'll let you do those steps.

In contrast, if we filled the blank with -4, then,

-4x+3 = -4x+17

-4x+4x = 17-3

0x = 14

0 = 14

We get a contradiction which leads to "no solutions".

Visually, the equations y = -4x+3 and y = -4x+17 are parallel lines that never intersect. We need them to intersect if we want a solution. Recall that parallel lines have equal slopes but different y-intercepts. Both sides have a slope of -4 in this case.

Therefore, the quick rule of thumb is this: if the slopes are not equal, then the linear equation has exactly one solution.

;oowgsvdsgg bss tr tbs

Answers

is that even a question bro?

20. You buy 4 online games for $0.99 each. You make 2 in-game purchases for
$3.99 each. What is the total you spent on games?

Answers

Answer: $11.94

Step-by-step explanation: 4 x 0.99 = $3.96 and then 2 x $3.99 = $7.98 now $7.98 + $3.96 = $11.94

Marta found a website that sells her favorite style of coffee mugs. She writes the function C(m)=4.50 m+7, where C(m) represents the total cost of ordering m mugs, to decide how many mugs to order. Determine whether each statement about the features of the function is true or false in terms of the context.
The range is {y l y ≥ 11.5\}.
The domain is all real numbers.
The y-intercept is 4.5.
There is no x-intercept.
The rate of change is $ 4.5 per mug.

Answers

The true or false values of the statements are:

The range is {y l y ≥ 11.5\}: FalseThe domain is all real numbers: FalseThe y-intercept is 4.5: TrueThere is no x-intercept.: TrueThe rate of change is $4.5 per mug: True

How to determine the true statements from the scenario?

From the question, we have the following parameters that can be used in our computation:

C(m) = 4.50m + 7

The smallest number of mugs she can sell is 0

So, we have the following equation

C(0) = 4.50 * 0 + 7

Evaluate

C(0) = 0

This means that the range is y ≥ 0

Next, the domain cannot be all real numbers

This is because real numbers include negative and decimal numbers

For the y-intercept, we have

C(m) = 4.50m + 7

Set m to 0

y-intercept = 4.5 * 0 + 7

Evaluate

y-intercept = 7

For the y-intercept, we have

C(m) = 4.50m + 7

Set C(m) to 0

4.5 * x-intercept  + 7 = 0

Evaluate

x-intercept = -7/4.5 -- this cannot be taken as the x-intercept  because it is a negative number

Also, we have the slope to be 4.5

So, the rate of change is $4.5 per mug

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A employee must create 140 gallons of slash burn fuel that must have a ratio of 8 parts diesel to 2 parts gas. How much diesel and gas are needed to create this mixture?

Answers

The amount of diesel required to create slash burn fuel is = 112 gallons

The amount of gas required to create slash burn fuel = 28 gallons

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

The total amount of slash fuel = 140 gallons

The ratio of diesel to gas in slash fuel is = 8 : 2

Let the amount of diesel required to create slash burn fuel be = 8x

Let the amount of gas required to create slash burn fuel be = 2x

So , the equation of proportion is given by

Total amount of slash fuel = amount of diesel required to create slash burn fuel + amount of gas required to create slash burn fuel

Substituting the values in the equation , we get

Total amount of slash fuel = 8x + 2x

8x + 2x = 140

10x = 140

Divide by 10 on both sides of the equation , we get

x = 14 gallons

Substituting the value of x in the above expressions , we get

Amount of diesel required to create slash burn fuel = 8x

Amount of diesel required to create slash burn fuel = 8 x 14

Amount of diesel required to create slash burn fuel = 112 gallons

And ,

Amount of gas required to create slash burn fuel = 2x

Amount of gas required to create slash burn fuel = 2 x 14

Amount of gas required to create slash burn fuel = 28 gallons

Hence ,

The amount of diesel required to create slash burn fuel is = 112 gallons

The amount of gas required to create slash burn fuel = 28 gallons

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Write this ratio as a fraction in simplest form without any units 27 feet to 8 yards

Answers

The ratio of 27 feet to 8 yards is 9/8 while converting feet to yards and the ratio is also 9/8 while converting yards to feet.

What are yards and feet?

Yards and feet are units use to measure the length of geometrical shapes.

1 foot equal to 0.333 yards and similarly 1 yard equal to 3 feet. There is proportional relationship between them.

what did you get from the above fraction value?

We got the same fraction value from the ratio of two units which implies that the two units are proportional.

1 foot =0.333 yard so

27 feet = 9 yards

similarly, 1 yard = 3 feet

so, 8 yard = 24 feet

hence, the ratio is 9/8

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Simplify to create an equivalent expression.
2(-n -3) -7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

8. What value of g makes the equation true? g + 4.3 = 7.2 A) 3.5 B) 2.9 C) 11.5 D) 10.1 ​

Answers

Answer - B

Explanation - You have to do the inverse operation to addition to find the value of g. This would be subtraction. So 7.2-4.3=2.9

I hope that helps :)

a) Work out the minimum number of dogs that could have a mass of more than 24 kg
b) Work out the maximum number of dogs that could have a mass of more than 24 kg}.
Mass(kg) Frequency
0≤x<10 2
10≤x<20 7
20≤x<30 12
30≤x<40 6

Answers

a) A minimum number of dogs that could have a mass of more than 24 kg is 6.

b) The maximum number of dogs that could have a mass of more than 18 kg is 20.

How to find the minimum and maximum value mean?

We will rearrange the function using fundamental algebraic concepts to process the value of x when the derivative equals 0. This response gives  us the x-coordinate of the function's vertex, which is the point that  the maximum or minimum will occur. To find the minimum or maximum, we will start by rewriting the solution into the original function.

From the given parameters, we can see that the minimum of the values present in the interval 20 to 40 is 6

From the given parameters, we can see that the maximum of the values present in the interval 20 to 40 is;

(12 + 6) = 18

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Simplify. (3x² - 2x + 2) - (x² + 5x-5) A. 2x² - 7x+7 B. 2x²-3x - 3 C. 2x² + 3x - 3 D. 4x² + 3x 3​

Answers

The equivalent expression is  2x² - 7x + 7

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2x + 6 - 9 is an expression.

3x = 9 is an expression.

We have,

(3x² - 2x + 2) - (x² + 5x - 5)

Remove the parenthesis.

3x² - 2x + 2 - x² - 5x + 5

Add like terms.

2x² - 2x + 2 - 5x + 5

Add like terms

2x² - 7x + 7

Thus,

The final expression is 2x² - 7x + 7

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Suppose a simple random sample of 30 students from this district is selected. What is the probability that at least half of them have brown eyes? (Use technology. Round your answer to three decimal places.)

Answers

In the simple random sample, the probability that at least half of the students have brown eyes is 0.400

How to calculate probability of an event at a particular time?

Probability is defined as the chance of occurrence of an event.

Probability is defined as follows:

P(E)=[tex]\frac{no of required outcome}{total of possible outcomes}[/tex]

The given parameters are:

The sample size= 30 students

Number with brown eye=40%

40% x 30 = [tex]\frac{40}{100} * 30[/tex]

=12

This means that there 12 students out of 30 that have brown eyes.

Applying the probability formula

[tex]\frac{12}{30}[/tex]= 2/5

In conclusion 0.400 of the students have brown eyes.

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5. Which of the following is true about the solution to the
system of equations?
3x - 2y = 10
2y = 3x - 16
4
A. The x-value of the solution is4/3
B. The y-value of the solution is -1.5.
C. There are infinitely many solutions to this system.
D. There is no solution to this system.
6
i

Answers

Answer:

D

Step-by-step explanation:

3x - 2y = 10 → (1)

2y = 3x - 16 → (2)

substitute 2y = 3x - 16 into (1)

3x - (3x - 16) = 10

3x - 3x + 16 = 10

16 = 10 ← not possible

this indicates the system has no solution.

There is no solution to this system. Therefore, option D is the correct answer.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given that the system of linear equations are

3x - 2y = 10 -------(i)

2y = 3x - 16

3x-2y=16 -------(ii)

Subtract equation (ii) from equation (i), we get

3x-2y-(3x-2y)=10-16

0≠4

Therefore, option D is the correct answer.

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determine the sample size needed to construct a 95 % confidence interval to estimate the population proportion is 0.54, and the margin of error is 0.06. use two decimal places for the critical value and round to the nearest integer for your final answer. eg. 48.47

Answers

The sample size needed is at least 311.17.

We have that to find our α level, that is the subtraction of 1 by the confidence interval divided by 2. So:

α = [tex]\frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of 1-α

So it is z with a p-value of , so

1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

[tex]M = z*\frac{sd}{\sqrt{n} }[/tex]

where sd = σ = standard deviation

At least n, in which N is found when M= 0.06 and σ = 0.54. So

 [tex]M = z*\frac{sd}{\sqrt{n} } \\0.06 = 1.96 * \frac{0.54}{\sqrt{n}} \\\sqrt{n} = \frac{1.96*0.54}{0.06} \\\sqrt{n} = 17.64\\n = 311.1696\\[/tex]

Rounding off to the nearest integer, we get n = 311.17.

Thus, the sample size needed is at least 311.17.

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What is the variable in this expression?
4b + 2b + 1⁄4

Answers

Answer:

b

Step-by-step explanation:

a variable is an unknown number normally represented by a letter and in this case the variable is b

hopes this helps please mark brainliest

the answer is B, the rest are numbers

What is the slope of 0,0 and 1/3, 7/3

Answers

To find the slope of a line that passes through two points, you can use the formula:

slope = (y2 - y1)/(x2 - x1)

In this case, the two points are (0,0) and (1/3, 7/3). Substituting these values into the formula, we get:

slope = (7/3 - 0)/(1/3 - 0)

slope = 7/3

Therefore, the slope of the line that passes through (0,0) and (1/3, 7/3) is 7/3.

Write an equation for a rational function with:

Vertical asymptotes at x = 6 and x = 3

x intercepts at x = 1 and x = -1

y intercept at 5

Answers

Answer:

Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.

The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.

Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6

Step-by-step explanation:

What is the value of In e4

Answers

Answer:

Pie heysgeusuwhueywgyssyywyw

Need quick
Foci: (-2, 0) and (2, 0)
Length of major axis: 8
Find equation of ellipse

Answers

The equation of the ellipse is x²/8² + y²/(2√15)² = 1.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Foci: (-2, 0) and (2, 0)

Length of major axis: 8

The equation of an ellipse.

x²/a² + y²/b² = 1

Where a is the major axis and b is the minor axis.

Now,

b² + c² = a²

c = 2

a = 8

b² = a² - c²

b² = 64 - 4

b² = 60

b = √60

b = √(4 x 15)

b = 2√15

Now,

x²/a² + y²/b² = 1

x²/8² + y²/(2√15)² = 1

Thus,

The ellipse equation is x²/8² + y²/(2√15)² = 1.

Learn more about equations here:

https://brainly.com/question/17194269

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