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Cerrena [4.2K]
3 years ago
14

What is the solution of the following systems of equations? y = 1/2x y = -x -3

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

<em>x = -2,  y = -1</em>

Step-by-step explanation:

<u>System of Equations</u>

Solve the system:

y = 1/2x

y = -x - 3

Multiplying the first equation by 2:

2y = x

Substituting x in the second equation:

y = -2y - 3

Adding 2y:

3y = -3

y = -3/3

y = -1

And x = 2*(-1) = -2

Solution: x = -2,  y = -1

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Graph the function. label the vertex and axis of symmetry<br> f(x) = -6x^2 - 4x - 5
VMariaS [17]

Answer:

Vertex is (-1/3, -13/3)

Axis of symmetry is x = -1/3

Step-by-step explanation:

For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k

Vertex form for this equation is:

Y = -6(x + 1/3)^3 - 13/3

To find the vertex, the formula is (h,k)

So, ( -1/3, -13/3)

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3 years ago
3<br> V = 63 cm<br> Can someone please help with this?
tatyana61 [14]

Answer:

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Step-by-step explanation:

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3 years ago
Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a pla
expeople1 [14]

<em><u>Explanation</u></em>:

On the left hand side of the place value chart, 20 hundreds is equal to 2 thousands because thousands is larger than hundreds. 2 thousands is 2(1000)=2000. 20 hundreds is 20(100)=2000. They are the same number.

However, on the right hand side of the place value chart, hundredths is larger than thousandths. To say that 20 hundredths is the same as 2 thousandths is incorrect, because you're saying more of a larger quantity is the same as less of a smaller quantity.

Hundredths are two places after the decimal, and have a value of 0.01. 20 hundredths is 20(0.01) = 0.2.

Thousandths are three places after the decimal and have a value of 0.001. 2 thousandths is 2(0.001) = 0.002.

We can write 0.2 as 0.200; this way we can see that 0.200 is larger than 0.002. They are not equal.

3 0
3 years ago
Read 2 more answers
What is the formula for the following arithmetic sequence? -9,-2,5,12
I am Lyosha [343]

Answer:

-9 + (n-1)-7

Step-by-step explanation:

formular for AP is

a+ (n-1)d

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3 years ago
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patriot [66]

Answer:

-1/2

Step-by-step explanation:

cos(x+pi) = -cos(x), so the answer is -1/2.

8 0
2 years ago
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