Which equation can be solved by using this system of equations?
[y-3x³-7x² +5
[y=7x²+2x
3x³-7x²+5=0
3x³-7x² +5-7x4 + 2x
7x²+2x=0
7x4+3x3-7x²+2x+5=0

Answers

Answer 1

The equation which can be solved by using the given system of equations; y = 3x³ - 7x² + 5 and y = 7x^4 + 2x is 3x³ - 7x² + 5 = 7x^4 + 2x. Option B is correct.

We are given;

y = 3x³ - 7x² + 5

y = 7x^4 + 2x

We will solve the given equation by substitution method:

Using the substitution method, let us substitute y = 7x^4 + 2x in the equation y = 3x³ - 7x² + 5, we get,

3x³ - 7x² + 5 = 7x^4 + 2x

So, 3x³ - 7x² + 5 = 7x^4 + 2x will be solved by using the given system of equations.

Thus, the equation which can be solved by using the given system of equations; y = 3x³ - 7x² + 5 and y = 7x^4 + 2x is 3x³ - 7x² + 5 = 7x^4 + 2x. Option B is correct.

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Related Questions

A local farmer had a mouse problem in his barn. He estimated there were about 800
mice to start with. He adopted some cats and noticed that the number of mice was
decreasing by 8%/wk. The graph models the number of mice x weeks after the
farmer adopted the cats.
Identify and interpret the key features of the exponential function modeled in terms
of this situation!

Answers

Answer: try a c and e

Step-by-step explanation:

how do you graph x=6

Answers

When graphing x = 6, we will plot a point at (6,0) on a number line. From that point, there would be a vertical line. Although it is linear, this line would not be a function.

Answer: it’s a vertical line going through the point (6,0)

Step-by-step explanation: this is because when you only have an x value the line is going to be vertical line through the x value on that axis

5.8, 6.328, 5.8042, 5.84 order these numbers from least to greatest

Answers

Answer:

Step-by-step explanation:

5.8, 5.8042, 5.84, 6.328

5.8, 5.8042, 5.84, 6.328

A polynomial function​ P(x) with rational coefficients has the given roots. Find two additional roots of P(x)=0. 17+7 and 2i

Answers

The two additional roots are:-0.17-7i and -2i

Given,

A polynomial function P(x) with rational coefficients has the given roots.

P(x) = 0.17+7i and 2i

we are asked to determine the two additional roots of the given P(x).

we know that a+bi is a root of P(x)=0, then a-bi is also a root of P(x)=0

we have:

0.17+7i and 2i are two roots pf P(x)

so, -0.17-7i and -2i are two additional roots of P(x).

Hence we get the required roots.

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pls help sjajgdjsiaysgdhwiudhh

Answers

Answer:

scalene acute

Step-by-step explanation:

scalene = 2 sides are the same and one is different

acute = all three angles are smaller than 90

There are 20 people in a room. 4 of them are people you know. When 2 people are selected at random at the same time, what is the probability that at least one of them is someone you know?

(this is a basic question but its 4am, my brain isnt working properly)

Answers

Answer:

4/20=1/5 or 20% or 0.2

Step-by-step explanation:

if u write 4/20 simplify it which becomes 1/5

u can write in percentage or in decimal depending on what the question wants

Find the value of x

Transversal angles, interior exterior angles, parallel

Answers

Answer:

115°

Step-by-step explanation:

They are the same angle because we know the lines are parallel.

Answer:

115°

Step-by-step explanation:

alternate exterior, they're the same

a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. he wants the area to be 20,000 20,000 square feet. what is the least amount of fencing he can use to create the area for his sheep?

Answers

Using the concepts of area of rectangle, we got that  72 feet  is the the least amount of fencing he can use to create the area for his sheep.

Lets, suppose that the length of rectangle as x feet,

and width of rectangle as y feet.

So perimeter of rectangle as 2×( length + breadth)

We are given perimeter of rectangle as 72 feet

So, length of two sides of rectangle + width of rectangle=72feet.

=>2x+y=72 feet----------(eq1)

Now, we know that area of rectangle is given by =(length × breadth),or

=>(x × y)=20000

Putting values of y from eq1,we get

=>x × (72-2x)=20000

=>72x-2x²=20000

We need to find the least amount of fencing, so we find the local minima by using the differentiation

=>d(72x)/dx-d(2x²)/dx=d(20000)/dx

=>72-4x=0

=>x=18feet

Therefore, y=72-2×18=72-36=36feet

Hence, length of rectangle is 18 feet, and width is 36 feet

Therefore, length of fencing is =2x+y=2×18+36=72 feet.

Hence, if a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. he wants the area to be 20,000 square feet, then the least amount of fencing he can use to create the area for his sheep is 72 feet.

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(Complete question) is:

a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. Perimeter of rectangle is given as 72 feet. He wants the area to be 20,000 square feet. what is the least amount of fencing he can use to create the area for his sheep?

Miranda buys 5.1 pounds of avocados at the local store. How much does
one pound of the fruit cost if she is billed $16.83 for the purchase?

Answers

The cost of one pound is $3.3 or the rate of per pound fruits is $3.3.

What is meaning of one pound?

Pound is an unit to measure mass of an object. The plural form of pound is pounds.

What is the unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given that Miranda buys 5.1 pounds of avocados at the local store. The cost of the fruits is $16.83.

Apply unitary method to calculate the cost of 1 pound:

The cost 5.1 pounds fruit is $16.83.

The cost 1 pound fruit is $16.83/5.1 = $3.3.

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In 2010, there were 3,669 people living in Bridgeview, IL. Chicago, IL has 681 times as
many people. How many more people live in Chicago?

Answers

Answer:

There are roughly 2,488,600 more people living in Chicago.

Cooper's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 96
coffees in all, 72 of which were regular. What percentage of the coffees were regular?

Answers

Answer:

75%

Step-by-step explanation:

To solve this equation, we need to turn the fraction 72/96 into a percentage.

72 ÷ 96 = 0.75

0.75 as a percentage is 75%

Therefore, 75% of the coffees were regular.

What is the least angle measure by which this figure can be
rotated so that it maps onto itself?
• 45°
•90°
•180°
•360°

Answers

The least angle at which given figure maps onto itself is 180°. This can be understand by using magnitude of symmetry.

What is symmetry?

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more precise definition of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling. Although these two interpretations of "symmetry" can occasionally be distinguished from one another, they are intricately linked and are therefore discussed jointly in this article. Aspects of mathematical symmetry can be seen in abstract objects like theoretical models, language, and music, as well as in the passage of time, as a spatial relationship, through geometric transformations, and in other types of functional transformations.

A figure in the plane has rotational symmetry if the figure can be mapped into itself by a rotation between 0° to 360° about the center of figure.

The given figure has one line of symmetry,

figure is divided into two parts that can overlap

angle will be = 360/2=180° .

So, the smallest angle is 180°.

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Why is the product of two rational numbers always rational?

Select from the drop-down menus to correctly complete the proof.



Let ab and cd represent two rational numbers. This means a, b, c, and d are
Choose...
, and
Choose...
. The product of the numbers is acbd, where bd is not 0. Because integers are closed under
Choose...
, ​acbd​ is the ratio of two integers, making it a rational number. Integers or rational numbers.

Answers

The product of two rational numbers is always rational because (ac/bd​) is the ratio of two integers, making it a rational number.

We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.

Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".

P = (a/b)×(c/d)

P = (a×c)/(b×d)

The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.

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I need help please!!!!

Answers

Answer: -10/6

Step-by-step explanation:

Using the Slope Formula which is, [tex]\frac{y_{2} -y_1}{x_2-x_1}[/tex] you can substitute the numbers. This leads to [tex]\frac{-1 -9}{-1-(-7)}[/tex] which will get you, [tex]\frac{-10}{6}[/tex].

The perimeter of an isosceles triangle is 48 inches. Each leg is 6 inches less than two times the base.
Find the length of each side of the triangle.

Answers

The length of two same sides of isosceles triangle is 18 inches and the third side of the triangle is 12 inches.

According to the question,

We have the following information:

The perimeter of an isosceles triangle is 48 inches. Each leg is 6 inches less than two times the base.

We know that in an isosceles triangle two sides are equal.

Let's take the base of the triangle to be x inches.

Other sides = (2x-6) inches

So, we have the following expression:

2x-6+2x-6+x = 48

5x-12 = 48

5x = 48+12

5x = 60

x = 60/5

x = 12 inches

Now, the other two sides of triangle:

2*12-6

24-6

18 inches

Hence, the length of two same sides of isosceles triangle is 18 inches and the third side of the triangle is 12 inches.

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what is the answer to 365 x 240?

Answers

Answer:87,600

Step-by-step explanation:

You operate a theme park and want to use the temperature outside and the day of the week to predict how many people will be in attendance each day. While testing this model, you also want to see if the relationship between temperature and theme park visitors will be curvilinear. You decide not to test for interactions. How many betas will be in your model aside from the y-intercept?.

Answers

Three betas will be in our model aside from the y-intercept.

In the given question, we have to find how many betas will be in your model aside from the y-intercept.

You operate a theme park and want to use the temperature outside and the day of the week to predict how many people will be in attendance each day.

While testing this model, you also want to see if the relationship between temperature and theme park visitors will be curvilinear.

You decide not to test for interactions.

From the given question,

We have y intercept that means our model well be

[tex]y=\beta_{0}+x_{1}\beta _{2}+x_{2}\beta _{2}+x_{1}x_{2}\beta _{12}[/tex]

where [tex]\beta _{1}[/tex] is for temperature and [tex]\beta _{2}[/tex] is day of the week.

3 betas are there aside intercept of y.

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A 9-member team plans to run a 4-mile relay race. Distance markers are placed on the racecourse every 0.25 mile. a. Place an X on the number line at the approximate locations where the relay exchanges will take place. b. Will any of the relay exchanges take place at any of the 0.25-mile markers? If so, which one(s)? List the locations of all of the exchanges in decimal form.

Answers

Relay exchanges will not take place at any of the 0.25-mile markers

The calculated relay exchanges are

0.44440.88891.33331.77782.22222.66673.11113.55564

How to find the relay exchanges

The number of team members which is 9 is equal to the number of relay exchanges in the 4-mile race.

This will result to the relay exchanges occurring at  every 4/9, and repeated addition of 4/9 will give the  other points, and the list is

4/9, 8/9, 4/3, 16/9, 20/9, 8/3, 20/9, 32/9, and 4 in fraction

In decimal form this will be listed in four decimal place

0.4444

0.8889

1.3333

1.7778

2.2222

2.6667

3.1111

3.5556

4

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Find the value of ? in the figure below

Answers

Answer:

Step-by-step explanation:

24

Solve (x – 3)2 = 49. Select the values of x.

Answers

Answer:

27.5

Step-by-step explanation:

2x-6=49

2x=55

x=27.5

the answer is 27.5 because you do
2x-6=49
49+6=55
2x=55
55 divided by 2=27.5
x=27.5

|x-3| = |9-2x| solve the following question​

Answers

Answer:

x = 4 or x = 6

Step-by-step explanation:

to solve the inequality

solve both

x - 3 = 9 - 2x OR x - 3 = - (9 - 2x)

x - 3 = 9 - 2x ( add 2x to both sides )

3x - 3 = 9 ( add 3 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

OR

x - 3 = - (9 - 2x)

x - 3 = - 9 + 2x ( subtract 2x from both sides )

- x - 3 = - 9 ( add 3 to both sides )

- x = - 6 ( multiply both sides by - 1 )

x = 6

For this exponential
function,
what is the output value (y),
when the input value (x) is O?
y = 12.5x
*it’s not 1*

Answers

After solving the exponential function y = 12.5ˣ, the value of y = 1.

What is an exponential function?

The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0.

The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

So, the exponential function:

y = 12.5ˣ

We know that x is 0.

The exponential function rule states that when the power is 0, the answer is always 1.

y = 12.5ˣ

y = 12.5⁰

y = 1

Therefore, after solving the exponential function y = 12.5ˣ, the value of y = 1.

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Correct question:

For this exponential function, what is the output value (y), when the input value (x) is O?

y = 12.5ˣ

a hammer get 300miles on 20 gallons of gas. How many miles can it cover on 50 gallons of gas

Answers

Answer:

750 miles

Step-by-step explanation:

20 gallons -------------- 300 miles

1 gallon ---------------- 300/20 = 15 miles

50 gallons -------------- 15x50 = 750 miles

kent spent 5/6 hour washing dishes on Monday as shown on the number line . kent washed dishes for the same amount of time on Tuesday and Wednesday. much time did kent spend washing dishes during those 3 days

Answers

Answer:150 minutes easy?

Step-by-step explanation:

A concession stand serves hot dogs and
hamburgers at a ratio of 3 to 2. Based on this
ratio, how many hamburgers will be served if
there are a total of 60 hot dogs served? Use a
tape diagram to model your thinking.

Answers

Using ratios we know that 40 hamburgers will be served.

What are ratios?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

So, a number of hamburgers that will be served are:

The ratio of hotdogs and hamburgers = 3:2The total number of hotdogs served is 60.

So, the number of hamburgers will be:

3/60 = 2/x3x = 60×23x = 120x = 120/3x = 40

Therefore, using ratios we know that 40 hamburgers will be served.

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Correct question:
A concession stand serves hot dogs and hamburgers at a ratio of 3 to 2. Based on this ratio, how many hamburgers will be served if there are a total of 60 hot dogs served?

a boat travels 12 miles up the river in the same amount of time it takes to travel 32 miles down the same river. if the current is 5 miles per hour, what is the speed of the boat in still water?

Answers

Answer:

  11 mi/h

Step-by-step explanation:

You want the speed of the boat when it travels 12 miles upstream against a current of 5 mph in the same time it travels 32 miles downstream with the current.

Time

The relation between time, speed, and distance is ...

  time = distance/speed

If b represents the speed of the boat, the times upstream and downstream are the same, so we have ...

  (12 mi)/(b -5) = (32 mi)/(b+5)

Multiplying by the product of the denominators gives ...

  12(b+5) = 32(b-5) . . . . . . also divided by "mi"

  12b +60 = 32b -160 . . . . multiply by (b+5)(b-5)

  220 = 20b . . . . . . . . . . . . add 160 -12b

  11 = b . . . . . . . . . . . . . . . . . divide by 20

The speed of the boat in still water is 11 miles per hour.

__

Additional comment

Each trip took 2 hours.

Find negative absolute value of negative three fifths.

−3.5
negative three fifths
three fifths
3.5

Answers

-4 is the absolute value of -3.5 and three fifths.

What is Expression?

An expression is combination of variables, numbers and operators.

negative absolute value of negative three fifths.

−3.5-3/5

Three fifths means three by five

-3.5-3/5

(-5(3.5)-3)/5

Minus seventeen point five minus three divided by five

-17.5-3/5

Minus twenty point five divided by five

-20.5/5

Minus four point one

-4.1

-4

Hence -4 is the absolute value of -3.5 and three fifths.

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unit 3 function notation and evaluating function homework gina wilson (all things algebra), 2013

Answers

Answer:

b

Step-by-step explanation:

it is the answer

f(x) = x^2. What is g(x)?

Answers

Answer:

[tex]\textsf{B.} \quad g(x)=-x^2-2[/tex]

Step-by-step explanation:

Transformations

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}.[/tex]

[tex]-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}.[/tex]

[tex]f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}.[/tex]

From inspection of the given graph, we can see that g(x) is function f(x) reflected in the x-axis and translated 2 units down.

Given function f(x):

[tex]f(x)=x^2[/tex]

Reflected in the x-axis:

[tex]-f(x) \implies g(x)= -x^2[/tex]

Translated 2 units down:

[tex]-f(x)-2 \implies g(x)=-x^2-2[/tex]

Therefore:

[tex]g(x)=-x^2-2[/tex]

Note:  

If the leading coefficient of a quadratic function is positive, the parabola opens upwards.

If the leading coefficient of a quadratic function is negative, the parabola opens downwards.

Therefore, as g(x) opens downwards, the term in x² will be negative.

f a certain cannon is fired from a height of 9.3 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = - 4.9t^2 + 30.5t + 9.3. Find the time it takes for the cannonball to strike the ground.

Answers

The amount of time it takes for the cannonball to strike the ground is equal to 6.516 seconds.

How to determine the amount of time?

Based on the information provided, we can logically deduce that the height (h) in meters, of this cannonball during above the​ ground is related to time by the following function:

h(t) = - 4.9t² + 30.5t + 9.3.

Generally speaking, the height of this cannonball would be equal to zero (0) when it strikes the ground. Therefore, we would equate the height function to zero (0):

0 = - 4.9t² + 30.5t + 9.3.

4.9t² - 30.5t - 9.3 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(-30.5)\; \pm \;\sqrt{(-30.5)^2 - 4(4.9)(-9.3)}}{2(4.9)}\\\\x = \frac{30.5\; \pm \;\sqrt{930.25\; + \;182.28}}{9.8}\\\\x = \frac{30.5\; \pm \;\sqrt{1112.53}}{9.8}[/tex]

Time, x = (30.5 ± 33.3546)/9.8

Time, x = (30.5 + 33.3546)/9.8

Time, x = 63.8546/9.8

Time, x = 6.516 seconds.

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