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3 years ago

What is the equation?

Mathematics

1 answer:

klasskru [66]3 years ago

7 0

Answer:

f(x) = 2(x + 3)²

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

a is vertical shrink/stretch

b is horizontal shrink/stretch

h is horizontal movement left/right

k is vertical movement up/down

h, k is vertex

Step 1: Define variables

h = -3

k = 0

a = 2

Step 2: Write quadratic

f(x) = 2(x + 3)²

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What value of a makes the solution to the equation 5x-10=3x+a equal to 12

Illusion [34]

Answer:

a=-1.2

Step-by-step explanation:

5x-10=3x+a=12

let's first find x:

5x-10=12

add 10 to both sides:

5x=22

divide both sides by 5:

x=4.4

now that we know what x is, we can plug it back into the equation to find a:

3*4.4+a=12

first, simplify both sides:

13.2+a=12

then, subtract 13.2 from both sides:

and our answer is: a=-1.2

6 0

3 years ago

Please help and thank you

qwelly [4]

when you multiply exponents, they add together and the base will remain the same:

-5+-2

=-7

therefore the answer is 8^-7

to get rid of the negative, flip the fraction so it becomes

1/8^7

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3 years ago

Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin

Ahat [919]

I guess this reads

$\displaystyle\int_1^4f(x)\,\mathrm dx=19$

$\displaystyle\int_1^4g(x)\,\mathrm dx=12$

You want to compute

$I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx$

By linearity of the definite integral,

$I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx$

$I=8\cdot19-12+7(4-1)=\boxed{161}$

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2 years ago

What is the opposite of negative one divided by seven

malfutka [58]

Answer:

0.142

Step-by-step explanation:

divide -1 by 7 = -0.142

opposite of that would be positive

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3 years ago

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marshall27 [118]

Answer:8

Step-by-step explanation:

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3 years ago