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2 years ago

15

Find the range or Y value for each of the given function domain or x values with the function. f(x)=-5x. f(1)=, f(2)=, f(3)=, f(

4)=.

1 answer:

Katena32 [7]2 years ago

8 0

You basically plug in the x values with the given function so the y values are -5,-10,-15,-20

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How many different possible outcomes are there if you roll a four-sided die in the shape of a pyramid twice?

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Answer:

Step-by-step explanation:

sixteen possible outcomes

A fair 4-sided die is rolled twice and we assume that all sixteen possible outcomes are equally likely.

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3 years ago

What ratio correctly compares the measurements 10,000 cm to 1000 m? Drag and drop the appropriate numbers into the boxes to show

Rom4ik [11]

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3 years ago

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A chemist heats up several unknown substances to determine their boiling point. Use the table to determine whether the sequence

Varvara68 [4.7K]

Since the <u>difference between consecutive terms is not constant</u>, the sequence is not arithmetic.

In an arithmetic sequence, the <u>difference between consecutive terms is constant</u>, called common difference d.

A recursive formula is given by:

$a_{n+1} = a_{n} + d$

In which $a_1$ is the first term.

In this problem:

The terms are: 100, 135, 149, 165, 188.
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A similar problem is given at brainly.com/question/23901992

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3 years ago

Find the slope of the line through each pair (1,-19),(-2,-7)

expeople1 [14]

hello i see that no one has answered your question yet well im here to help:)

(1,-19),(-2,-7)

so here one way you can find the slope

i usually always use this to help me to keep it in order

------------------

(X1,Y1)(X2,Y2)

X2-X1

Y2-Y1

use this and your garanteed to get the right answer everytime

------------------

X = -2 – 1 = -3

Y = -7 – -19 = 12

once you do that you divide if possible

12/-3

which gives you -4

so your answer is -4

its really not hard you just got to get use to it

hope it help you:)

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4 years ago

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For these types of formatted integrals, why can’t we use the basic integral formula to calculate it?

IrinaVladis [17]

Step-by-step explanation:

The problem asks to calculate the integral by using area of geometric shapes, but it is possible to integrate using trig substitution.

∫₀³ √(9 − x²) dx

If x = 3 sin u, then dx = 3 cos u du.

When x = 0, u = 0. When x = 3, u = π/2.

∫₀ᵖⁱ`² √(9 − 9 sin²u) (3 cos u du)

∫₀ᵖⁱ`² 3 √(1 − sin²u) (3 cos u du)

∫₀ᵖⁱ`² 3 cos u (3 cos u du)

∫₀ᵖⁱ`² 9 cos²u du

Use power reduction formula.

9/2 ∫₀ᵖⁱ`² (cos(2u) + 1) du

9/2 ∫₀ᵖⁱ`² cos(2u) du + 9/2 ∫₀ᵖⁱ`² du

9/4 ∫₀ᵖⁱ`² 2 cos(2u) du + 9/2 ∫₀ᵖⁱ`² du

[ 9/4 sin(2u) + 9/2 u ] |₀ᵖⁱ`²

[ 9/4 sin(π) + 9/2 (π/2) ] − [ 9/4 sin(0) + 9/2 (0) ]

9π/4

Using geometry instead, the function is the top half of a circle centered at the origin with a radius of 3. The limits are 0 ≤ x ≤ 3, so we're looking at the first quadrant only. So the area is:

A = πr² / 4

A = π (3)² / 4

A = 9π/4

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4 years ago

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