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alexgriva [62]
3 years ago
11

If f(x)=x squared + 3x+5 what is f(a+h)

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

a² + 2ah + 3a + 3h + 5 + h²

Step-by-step explanation:

to evaluate f(a + h) substitute x = a + h into f(x)

f(a + h)

= (a + h)² + 3(a + h) + 5 ← distribute

= a² + 2ah + h² + 3a + 3h + 5



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You have 1000000 small cubes.
Tju [1.3M]

Answer:

1000 in

Step-by-step explanation:

Given

The dimension of the small cube is 1\ in.1 in.

No of the cubes is 10^6106

If the small cubes are arranged on the floor

The area of the cubes is

\Rightarrow 10^6\times 1^2\ in.^2⇒106×12 in.2

8 0
2 years ago
Use the quadratic function f(x) = 2x^2 + 4x - 15. Find any x intercepts.
8_murik_8 [283]

So for this function we will be using the quadratic formula, which is x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a} , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

6 0
3 years ago
Is this right?
Mumz [18]

Answer:

Q1.

AC is the greatest side, therefore is hypotenuse. AB and BC are legs.

B is 90 deg as the two legs cross at this point.

<u>Ratios:</u>

  • sin = opposite / hypotenuse
  • cos = adjacent / hypotenuse
  • tan = opposite / adjacent

BC is opposite to A and adjacent to C

AB is adjacent to A and opposite to C

  • sin A = cos C = 8/10 = 4/5
  • cos A = sin C = 6/10 = 3/5
  • tan A = cot C = 8/6 = 4/3
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Q2.

a) Answered above

b) Answered above

4 0
3 years ago
Find the surface area of the pyramid.
Taya2010 [7]
460 cm squared
Hope that helped XD
7 0
3 years ago
1/2 of lla's workspace is covered in paper.1/3 of the paper is covered in yellow sticky notes.What fraction of lla's workspace i
Blababa [14]

Answer:

\frac{1}{6}

Step-by-step explanation:

We have been given that 1/2 of Ila's work-space is covered in paper.1/3 of the paper is covered in yellow sticky notes.

First of all, we will draw a model to represent our given information as shown in the attached image.

To find the fraction of Ila's work-space that is covered in yellow sticky notes, we need to find 1/3 of 1/2 as:

\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{2}\times \frac{1}{3}

\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{2\times 3}

\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{6}

Therefore, \frac{1}{6} of Ila's work-space is covered in yellow sticky notes.

3 0
3 years ago
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