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3 years ago

You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).

Mathematics

1 answer:

Aneli [31]3 years ago

8 0

Answer:

q(-1)=-2

Step-by-step explanation:

1) flip the equation:

4x+7=-1

2) subtract 7 from both sides:

4x=-8

3) divide both sides by 4:

x=-2

HOPE THIS HELPS!!!! :)

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3 years ago

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3 years ago

Elimination_4x_2y=14 _10x+7y=_24

Gnesinka [82]

Answer:

The answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

$-4x-2y=14$ ......(1)

$-10x+7y=-24$ ......(2)

So, we multiply the equation (1) by 7 we get:

$-28x-14y=98$

And, we multiply the equation (2) by 2 we get:

$-20x+14y=-48$

Now, adding both the new equations:

$-28x-14y+(-20x+14y)=98+(-48)$

$-28x-14y-20x+14y=98-48$

$-28x-20x-14y+14y=50$

$-8x=50$

Dividing both the sides by -8 we get:

$x=-\frac{50}{8}$

Now, putting the value of $x$ in equation (1):

$-4x-2y=14$

$-4(-\frac{50}{8})-2y=14$

$\frac{200}{8} -2y=14$

$25-2y=14$

Subtracting both sides by 25 we get:

$-2y=-11$

Dividing both sides by -2 we get:

$y=\frac{11}{2}$

Therefore, the answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

5 0

3 years ago

4 times a number less than 7 times the same number is 24. Find the number.

Afina-wow [57]

Answer:

the number is 1

Step-by-step explanation:

4(7n-n)=24

28n-4n=24

24n=24

n=1

7 0

3 years ago

Read 2 more answers

Given two points what’s the slope intersect form (-3, 7) and (1, -1)

UNO [17]

Change in y over the change in x
-1-7=-8
1- -3=4

-8 divided by 4

Slope=-2

5 0

3 years ago