What is the solution to this system of equations? negative 5.9 x minus 3.7 y = negative 2.1. 5.9 x 3.7 y = 2.1. (0, negative 2.1) (0, 2.1) infinitely many solutions no solution

Answers

Answer 1

The solution to this system of equations is infinitely many solutions

How to determine the solution?

The system of equations is given as:

-5.9x  -3.7y = -2.1.

5.9x + 3.7y = 2.1.

Add both equations to eliminate a variable

-5.9x + 5.9x - 3.7y + 3.7y = -2.1 + 2.1

Evaluate

0 +0 = 0

Evaluate the sum of zeros

0 = 0

Both sides of the equations are the same

Hence, the solution to this system of equations is infinitely many solutions

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Answer 2

Answer:

Option C is correct. The system of linear equation -5.9x - 3.7y =  -2.1 and 5.9x +3.7y = 2.1 have infinitely many solutions.

What is system of linear equation?

The system of linear equations is "a set of two or more linear equations or   variables is called system of linear equation".

What is infinitely many solutions?

An equation has infinitely many solutions only if "the two lines are coincident and having the same y-intercept".

According to the question,

The system of linear equation,

-5.9 x - 3.7y = -2.1            →  (1)

5.9 x + 3.7y = 2.1              →  (2)

The equation (1) is same as the equation (2) only the difference equation (1) is multiplied by (-1). Both equation give the same line. To check if above equations have same y-intercept, the equation can be written in slope intercept form y = m x +c where 'm' is the slope of the line, 'c' is the 'y-intercept'.

y = - (5.9/3.7) x + 2.1   [From equation (1)]

y = -(5.9/3.7) x + 2.1      [From equation (2)]

The both equation have same y-intercept. Therefore, the system of linear equations have infinitely many solution.

Hence, the system of linear equation -5.9x - 3.7y =  -2.1 and 5.9x +3.7y = 2.1 have infinitely many solutions.  

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Step-by-step explanation:


Related Questions

Help will name brainliest

Answers

[tex]\text{For angle N,}\\\\PQ= \text{Perpendicular.}\\\\QN = \text{Hypotenuse.}\\\\\text{Now,}\\\\\sin N = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\~~~~~~~=\dfrac{QP}{QN}[/tex]

Please help! Giving brainliest!

Answers

Answer:

P

Step-by-step explanation:

The middle is the middle of the angle ...point P

I need help understanding this question

Answers

Answer: what question i don't see it but you can try reading it again and writing it down

A group of students measured the lengths of their shoes. The lengths are listed in the table. Use the table to locate the incorrect data in the line plot.

Answers

I think the incorrect data is the second x to the left.

1. Use rectangle ABDC below for parts a through d.
15 cm
B
8 cm
C
(a) Calculate the length of each side of the dilated image using a scale factor of 3. Show your work!
(2 pts)
A'B' = |
B'D' =
I
(b) Does the scale factor of 3 create an enlargement or reduction? (1 pt)
(c) Calculate the length of each side of the dilated image using a scale factor of Show your workl
(2 pts)
A'B' =
B'D' =
(d) Does the scale factor of create an enlargement or reduction? (1 pt)

Answers

Answer:

see the attachment photo!

Drag the correct value into each box on the number line.

Answers

To identify the value that goes in each box, we must perform the corresponding operation and calculate the final result.

How to perform a mathematical operation?

In mathematics there are procedures such as addition (+), subtraction (-), division (÷), and multiplication (×) to solve problems. These operations are the four basic operations of mathematics.

According to the above, what we must do is identify what operation we must perform with the given numbers and then identify the result and put it in the corresponding box.

Note: This question is missing because there is some information missing. Howeve i can answer it based on my general knowledge.

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4x = 20
How can I solve it quickly?
I don’t want only the results.

Answers

Answer:

5

Step-by-step explanation:

You need to do 4 divided by 4 on 1 side and 20 divided by 4 on the other side

4÷4= 1 so we are left with x

20÷4= 5 so we are left with 5

Therefore x=5

Hi student, let me help you out!

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the equation 4x=20.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Remember, we need to get x all by itself.

Is x all by itself? No, there's a 4 multiplied by it.

So, we do the opposite operation.

The opposite of multiplication is..?

Division.

Thus, we divide both sides by 4.

x=5

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{When\;solving\;equations\;,\;our\;goal\;is\;to\;find\;the\;value\;of\;the\;variable,\;which\;in\;this\;case\;was\;x}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students :)

1 over 3b = 4 over 5 . Which of the following equals b in this equation? (4 points)

2 2 over 5
1 1 over 8
2 over 5
1 over 4

Answers

Answer:

none of the answers listed are equivalent to b (22/5, 11/8, 2/5, 1/4)

Step-by-step explanation:

[tex]\frac{1}{3b} = \frac{4}{5}[/tex]

to simplify, cross multiply

(1 · 5  =  3b · 4)

(5 = 12b)

divide both sides by 12 to isolate b,

[tex]\frac{5}{12} =\frac{12b}{12}[/tex]

[tex]\frac{5}{12} = b[/tex]

None of the answers listed are equivalent to 5/12

[tex]\frac{5}{12}[/tex] [tex]\neq[/tex][tex]\frac{22}{5}[/tex]

[tex]\frac{5}{12} \neq[/tex][tex]\frac{11}{8}[/tex]

[tex]\frac{5}{12} \neq[/tex][tex]\frac{2}{5}[/tex]

[tex]\frac{5}{12} \neq[/tex][tex]\frac{1}{4}[/tex]

The area A of a circle is the product of π and the radius r squared

i need written in a algebraic equation

Answers

Answer:

A=πr^2

Step-by-step explanation:

A=π*r^2

Where, A is area of circle

r is radius of circle

π is constant

.

Hope it's help and I think I have give brainleist answer

Answer:

πr^2

Step-by-step explanation:

it's just πr^2.

easy

Consider triangle ABC. What is b?

Answers

b would equal 18.7
Explanation:

Calculate the volume of a cube of length 8 m

Answers

Answer:

V =512 m^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = 8^3

V =512 m^3

It’s should be 512m!!! Good luck

Which are rational numbers?
Check all that are true. 3/10 3/1 0/3 -191/32 3/456

Check all that are true

NEED ANSWER ASAPPPPP



Answers

3/0 and -191/32

lmk if this is wrong, I might be.

7x<5x-16

It’s an inequality question

Answers

Answer:

7x <5x-16

Step-by-step explanation:

7x-5x < 5x -16 -5x

URGENT



A watch keeps exact time, but it has only an hour hand. When the hour is is of the distance between the 4 and the 5, the correct time is???​

Answers

Answer:

It will be 4 30

Step-by-step explanation:

Mark me as a brainliest.

A set of 15 students took a math test. The test was out of 50 points and the scores were as followed: 23, 28, 29, 30, 30, 32, 33, 36, 36, 40, 41, 43, 45, 46, 48 1.
Find the Mean test score of the test
2. Find the Standard Deviation of the test 3. Using a Normal Distribution, what is the probability a student scores higher *than a 35 on the test
4. Using a Normal Distribution, what is the probability a student scores between a 30 and 40 on the test?​

Answers

Answer:

1. 33.6

Step-by-step explanation:

1. Mean = total score/number of tests

         = (23+28+29+30+30+32+33+36+36+40+41+43+45+46+48)/15

         =33.6

I don't know any of the others, but I hope that this will be helpful :)

HELP
Select the correct answer from each drop-down menu.
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
The three-dimensional shape that this net represents is a
The surface area of the figure is
12 cm
12 cm
12 cm
square centimeters.
Reset
Next

Answers

The net represents a cube.

The net shows a cube with a side length of 12 cm, meaning its surface area is [tex]6(12)^{2}=\boxed{864 \text{ cm}^{3}}[/tex]

Answer:

cube864 cm²

Step-by-step explanation:

The Platonic solid with six (6) square faces is the cube. Its surface area is the sum of the areas of the square faces. Each of those is the square of its edge length.

__

The 3-dimensional shape represented by the net is a cube.

The area of the cube is ...

  6 × (12 cm)² = 6 × (144 cm²) = 864 cm²

For an experiment, Sandra needs 20 grams of a 26% solution of salt. She has two large bottles of salt water: one contains a 20% solution, and the other contains 35% solution. How much of each must she use to make the solution she needs?

Answers

The amount of grams that she must use to make the solution she needs are: 12 grams and 8 grams.

Amount of grams

x grams of 20% and 20-x grams of 35%

Hence:

0.20x+0.35(20-x)=0.26×20

0.20x-0.35x+7=5.2

Collect like terms

-0.15x=-1.80

Divide both side by -0.15x

x=-1.80/-0.15

x=12 grams of 20% or 2.4 grams pure

20-x= (20-12) =8 grams of 35% or 2.8 grams pure

Therefore the amount of grams that she must use to make the solution she needs are: 12 grams and 8 grams.

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What is the solution to
[tex] \sqrt{ - x} = \sqrt{x + 13} [/tex]

Answers

Answer: -6.5

Step-by-step explanation:

First, you take the values on both sides to the power of 2 to get:

-x = x + 13

Subtract x on both sides.

-2x = 13

Divide both sides by -2.

x = -6.5

Answer:

[tex]x=-\dfrac{13}2[/tex]

Step-by-step explanation:

[tex]~~~~~\sqrt{-x} = \sqrt{x+13}\\\\\implies -x= x+13~~~~~~~~~~~~~~~~;[\text{Square on both sides}]\\\\\implies -x -x = 13\\\\\implies -2x = 13\\\\\implies x = -\dfrac{13}2\\\\\text{Verify solution:}\\\\~~~~~~~\sqrt{-\left(- \dfrac{13} 2 \right)} = \sqrt{-\dfrac{13}2 +13}\\\\\\\implies \sqrt{\dfrac{13}2} = \sqrt{\dfrac{13}2}\\\\\text{Hence, the solution is}~ x=-\dfrac{13}2[/tex]

7x+16=8x+15 solve for x and y

Answers

Answer:

x = 1

Step-by-step explanation:

7x + 16 = 8x + 15

Step 1 : Subtract 15 on both sides

7x + 16 - 15 = 8x

7x + 1 = 8x

Step 2 : Subtract 7x on both sides

1 = 8x - 7x

1 = 1x

x = 1

13. a) Write 2 solutions of the equation 2x - 3y = 6
b) Write the equations two lines passing through the point (-3, 2)​

Answers

Answer:

y=4/3x+6

Step-by-step explanation:

(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)

Answers

Answer :

[tex]\underline{\boxed{\sf{-7x^2 - \frac{13}{10} x +5}}}[/tex]

Solution :-

[tex]\sf{(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)}[/tex]

Remove the parentheses:

[tex]\sf{-11x^2 + 1.4x - 3 + 4x^2 - 2.7x + 8}[/tex]

Convert decimal to fraction:

[tex]\sf{-11x^2 + \frac{14}{10} x - 3 + 4x^2 - \frac{27}{10} x + 8}[/tex]

Reduce fraction to the lowest term by canceling the greatest common factor:

[tex]\sf{-11x^2 + \frac{7}{5} x - 3 + 4x^2 - \frac{27}{10}x + 8}[/tex]

Combine like terms:

[tex]\sf{-7x^2 - \frac{13}{10} x +5}[/tex]

9. Latoya's mom makes her a birthday cake in the shape of an "L". Latoya loves frosting,
so her mom covers the entire outside of the cake in frosting, even the bottom of the
cake.
4 in
12 in
2 in
9 in
How much space does Latoya's mom cover in frosting?
inches²
8 in
4 in

Answers

Answer:

223

Step-by-step explanation:

find the area for each side.

PLS HELP FAST
Points X and Y lie on (circle)P so that PX = 5 meters and m∠XPY = 90. Find the length of XY to the nearest hundredth.

Answers

Step-by-step explanation:

P means the center of the circle.

any point on the circle has therefore a constant distance from the center : the radius r.

r = 5 m

what we need to find is the length of the circle arc between the 2 points that represents 90° of the overall circle (360°).

90/360 = 1/4

so, we are looking for 1/4 of the overall circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi×5/2 =

= 7.853981634... m ≈ 7.85 m

If f(x)=√4x+9+2, which inequality can be used to find the domain of f(x)?
O √4x 20
O4x+920
4x20
√4x+9+220

Answers

Answer:

[-11/4, ∞)

Step-by-step explanation:

Given :

y = √(4x + 9 + 2)

Simplifying :

y = √(4x + 11)

Now, the term in the bracket has to be greater than or equal to 0 to be real.

Hence,

⇒ 4x + 11 ≥ 0

⇒ 4x ≥ -11

⇒ x ≥ -11/4 [Lower limit]

Infinity will be the upper limit as the numbers increase indefinitely.

The domain will be :

[-11/4, ∞)

Which of the following equations will produce the graph shown below?
+10
10-9-8-7-6-5-4-3-2-1-1 2 3 4 5 6 7 8 9 10
O A. 20x²-20y² = 400
OB.
B. 6x² + 6y² = 144
လ -
7 PTT || | |||||||||
ܚ ܐ ܕܬ ܘ ܟ ܗ ܗ ܙܪ ܣ ܣ
-3
-5
-7
-8
-9
-10

Answers

The equation that produces the circle in the given graph is; x² + y² = 16. The correct answer is option B.

The complete graph is attached with the answer below.

How to interpret the equation of a Circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The general form of the equation of a circle is;

(x - h)² + (y - k)² = r²

where;

h, k are coordinates of the circle centre r is the radius

From the graph, we can see that the coordinates of the centre are; (0, 0).

Also, the radius is;

r = √(4² - 0²)

r = √16

Thus, our equation of the circle in the graph is;

(x - 0)² + (y - 0)² = (√16)²

x² + y² = 16

Therefore the equation that produces the circle in the given graph is; x² + y² = 16. The correct answer is option B.

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A catapult hurls a pumpkin from a height of 32 feet at an initial velocity of 96 feet per second. the function h(t)=-16t^2+96t+32 represents the heights of the pumpkin h(t) in terms of time t. what is the max height the pumpkins will reach and what time will it reach that height?

Answers

The maximum height of the  pumpkin is 3 feet

We have given that,

A catapult hurls a pumpkin from a height of 32 feet at an initial velocity of 96 feet per second.

The function h(t)=-16t^2+96t+32 represents the heights of the pumpkin h(t) in terms of time t.

We have to determine the maximum height.

What is the maxima?

At the point of maxima f'(x)=0

first, find the maxima

Therefore differentiate the given function with respect to t we get,

[tex]h'(t)=-32t+96[/tex]

h'(t)=0

Then we get,

[tex]0=-32t+96\\-32t=-96\\t=\frac{-96}{-32} \\t=3[/tex]

Therefore the maximum height of the pumpkin is 3 feet.

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Which point is located at (3, -1)?



A. point A

B. point D

C. point E

D. point F

Answers

Answer:

i think its point D. So that means the answer is B. I think so because if the middle like going side to side is marked first then it must mean the positive is first and so it's point D

Use mathematical induction to prove

Answers

[tex]Prove\ that\ the\ assumption \is \true for\ n=1\\1^3=\frac{1^2(1+1)^2}{4}\\ 1=\frac{4}{4}=1\\[/tex]

Formula works when n=1

Assume the formula also works, when n=k.

Prove that the formula works, when n=k+1

[tex]1^3+2^3+3^3...+k^3+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k+1)^2}{4}+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k^2+2k+1)}{4}+(k+1)^3=\frac{(k^2+2k+1)(k^2+4k+4)}{4} \\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+4k^3+4k^2+2k^3+8k^2+8k+k^2+4k+4}{4}\\\\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+2k^3+k^2}{4}+\frac{4k^3+12k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+6k^3+13k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\[/tex]

Since the formula has been proven with n=1 and n=k+1, it is true. [tex]\square[/tex]

Rewrite using a single positive exponent. 3-6 -5​

Answers

Answer:

[tex]1 \div {3}^{( 30)} [/tex]

Step-by-step explanation:

There are exponent rules I posted above that are being used here.

We have (3^-6)^-5

Since we have a power times a power, we multiply 6 and 5 to get -30. Look at the first example in the photo.

So, we're left with 3^-30.

If you look at the photo, there's a rule for negative exponents.

Take the inverse of the base number, so 3 in this case:

1 / 3

and then make the exponent positive after taking the inverse.

So, we should get 1 / 3^30

Hope this helps!

25 is added to the product of a number and 2

Answers

Answer:

2x + 25

Step-by-step explanation:

Let that number be x.

Step 1 : Multiply x and 2.

x * 2 = 2x

Step 2 : Add 25 and 2x.

2x + 25

Hence,

25 is added to the product of a number and 2 is 2x + 25.

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