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2 years ago

What is the value for y in the following equation when x = -10?

Mathematics

1 answer:

nadezda [96]2 years ago

6 0

Answer:

B.-38

Step-by-step explanation:

2x - 18 = y ...(1)

x = -10 (Given)

Now,

Put the value of x in equation (1) we get,

2(-10) - 18 = y

-20 - 18 = y

-38 = y

y = -38

Thus, the value of y is -38

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Which expression is equivalent to the given expression?

marishachu [46]

Answer:

The third option.

Step-by-step explanation:

$(\frac{4xy^3}{x^2})^2\\\\=(\frac{4y^3}{x})^2\\\\=\frac{16y^6}{x^2}$

Hence the 3rd option.

4 0

1 year ago

Can someone do this fast ? I need it for tomorrow

gregori [183]

Answer:

Step-by-step explanation:

hg(x) means you multiply h(x) times g(x) and then we will set it equal to $3x^2+x-1$ .

hg(x) = $x^2(x+2)$ which simplifies to

$x^3+2x^2$ . Now set that equal to $3x^2+x-1$ :

$x^3+2x^2=3x^2+x-1$ and get everything on the same side and factor:

$x^3-x^2-x+1=0$ . Factor by grouping:

$(x^3-x^2)-(x+1)=0$ and factor out what's common in each set of ( ):

$x^2(x-1)-1(x-1)=0$ which factors out to

$(x^2-1)(x-1)=0$ . But $x^2-1$ factors somoe to:

(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are

x = -1, 1

7 0

2 years ago

If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. but if you buy four pens and two me

xxTIMURxx [149]

Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.

Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

$\begin{cases} 6p+m=9\\4p+2m=8\end{cases}$

Now, if you multiply the first equation by 2, the system becomes

$\begin{cases} 12p+2m=18\\4p+2m=8\end{cases}$

Subtract the second equation from the first:

$12p+2m - (4p+2m) = 18-8 \iff 8p = 10 \iff p = \dfrac{10}{8} = 1.25$

Plug this value into the first equation to get

$6p+m=9 \iff 6\cdot 1.25 +m = 9 \iff 7.5 +m=9 \iff m = 9-7.5 = 1.5$

7 0

2 years ago

Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he nee

Alex777 [14]

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

$Area = A = s^2$