All categories

3 years ago

If h(x) = x – 7 and g(x) = x2, which expression is equivalent (g o h)(5)

Mathematics

1 answer:

Zanzabum3 years ago

8 0

(goh)(x) = (g(x))(h(x)) = (x^2)(x-7) = x^3 -7x^2
then (goh)(5) = (5^3)-7(5)^2 = 124-7(25) = 124-175 = -51

You might be interested in

Select the two binomials that are factors of this trinomial x2+10x+16

Zigmanuir [339]

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

$x^2+2x+8x+16$

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: $x(x+2)+8(x+2)$

<u>Now you can rewrite this as $(x+8)(x+2)$ , which is your final answer.</u>

5 0

3 years ago

This equation shows how the cost of a corporate team-building event depends on the

user100 [1]

Answer:

d = 18

Step-by-step explanation:

a = 3;

therefore

d = 4a + 6

d = 4(3)+ 6

d = 12 + 6

d = 18

6 0

2 years ago

Please help me with this question.

Evgen [1.6K]

Answer:

$\purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}$

Step-by-step explanation:

$y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}$

8 0

2 years ago

3.86÷9.15 in its simplified form

Sedaia [141]

Answer:

ok so i am just dividing it out the answer would be 0.42185792

Step-by-step explanation:

3.86/9.15=0.42185792

4 0

3 years ago

Which terms could have a greatest common factor of 5m2n2?.

ozzi

Answer:

a common factor would be 5m^4n^3 or 15m^2n^2

Step-by-step explanation:

not sure what terms they want you to choose from but anything that starts with a number (5,10,15,) and "m" would any number 5 would go into

3 0

2 years ago