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Goshia [24]
2 years ago
15

Use the function to evaluate the indicated expressions and simplify.

Mathematics
1 answer:
Musya8 [376]2 years ago
6 0

9514 1404 393

Answer:

  • f(x²) = x² +5
  • (f(x))² = x² +10x +25

Step-by-step explanation:

Put the argument in place of x and evaluate the desired expression.

__

1. f(x²) = x² + 5 . . . . . . straight substitution for x

__

2. (f(x))² = (x +5)²

  = (x +5)(x +5) = x(x +5) +5(x +5) = x² +5x +5x +25

  (f(x))² = x² +10x +25

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Find the distance between pair of points (0, - 5) and (7, 2) . necessary , express the answer in radical form and then round to
kifflom [539]

Answer:

d=9.899495 or √98

Step-by-step explanation:

√(7-0)^2 + (2-(-5))^2

√(7)^2+(7)^2

√98

6 0
2 years ago
If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) g(9) = 6 h(9) = 4 g' (9) = −6 h' (9) = 4 fx(6, 4) = 9 fy(6, 4)
horsena [70]

Answer:

dz / dt = -50

Step-by-step explanation:

To solve the chain rule must apply, we have all the necessary values to make the calculation, as follows:

using the chain rule, we find:

dz / dt = (∂z / ∂x) * (∂x / ∂t) + (∂z / ∂y) * (∂y / ∂t)

Evaluating when t = 9, we have to:

fx (6, 4) * g '(9) + fy (6, 4) * h '(9)

We know that g '(9) = −6; h '(9) = 4; fx (6, 4) = 9; fy (6, 4) = 1

Replacing:

(9 * -6) + (1 * 4) = -50

Por lo tanto dz / dt = -50

6 0
3 years ago
How many ways can a rectangle be reflected across an axis of symmetry so that it carries onto itself?
anastassius [24]
I believe the correct answer from the choices listed above is option B. A rectangle can be reflected across an axis of symmetry so that it carries onto itself twice. <span>Rectangles are geometric shapes with </span>two lines<span> of symmetry. One line of symmetry divides a rectangle in half horizontally, and the other line divides the shape in half vertically.</span>
8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST IF YOUR RIGHT!!!!
Crazy boy [7]

Answer:

I.I

R.R

Step-by-step explanation:

R.R would be R.RRRR......

and I.I would be I.IIII...

5 0
2 years ago
Read 2 more answers
How do i solve this step by step
AlladinOne [14]

Answer:

4) x^10

Step-by-step explanation:

1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.

2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.

3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.

4) (x^2*x^4)^4÷x^8

First do what's in the parentheses,

(x^2*x^4) = x^6

Next do the exponents,

(x^6)^3 = x^18

Lastly the division,

x^18÷x^8 = x^10

x^10 is our answer.

4 0
3 years ago
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