A triangle is translated by using the rule (X.Y) =(x-4.y+1). Which describes how the figure is moved?

pete the pilot is 35 years old. his son is 9 years old. in how many years will pete be exactly 3 times older than his son.

beks73 [17]

Pete will be 3x as old in 1 year

6 0

3 years ago

The number 58 is decreased to 19. What is the percentage by which the number was

cupoosta [38]

Answer:

Step-by-step explanation:

Decrease = 58- 19 = 39

Percentage of decrease = (39/58)*100 = 67.24 = 67.2%

5 0

3 years ago

F(x) = 9 − x2, x < 3 x − 3, x ≥ 3

liberstina [14]

The table of the function is;

x f(x)

1 8

2 5

3 0

4 1

5 2

<h3>What are the output values of the x-variables?</h3>

Given the piecewise functions;

9 - x², x < 3

f(x) = {

x - 3, x ≥ 3

For x = 1, since 1 is less than 3, we use the piece of the function under x<3

f(x) = 9 - x²

f(1) = 9 - (1)²

f(1) = 9 - 1

f(1) = 8

Hence, we have a point ( 1,8 )

For x = 2, since 2 is less than 3, we use the piece of the function under x<3

f(x) = 9 - x²

f(2) = 9 - (2)²

f(2) = 9 - 4

f(2) = 5

Hence, we have a point ( 2,5 )

For x = 3, since 3 is greater than or equal to 3, we use the piece of the function under x≥3

f(x) = x - 3

f(3) = (3) - 3

f(3) = 3 - 3

f(3) = 0

Hence, we have a point ( 3,0 )

For x = 4, since 4 is greater than 3, we use the piece of the function under x≥3

f(x) = x - 3

f(4) = (4) - 3

f(4) = 4 - 3

f(4) = 1

Hence, we have a point ( 4,1 )

For x = 5, since 5 is greater than 3, we use the piece of the function under x≥3

f(x) = x - 3

f(5) = (5) - 3

f(5) = 5 - 3

f(5) = 2

Hence, we have a point ( 3,2 )

Therefore, the table of the function is;

x f(x)

1 8

2 5

3 0

4 1

5 2

Learn more about piecewise functions here: brainly.com/question/12561612

#SPJ1

4 0

2 years ago

Please help! Can anyone help me out with this question?

TEA [102]

Answer:

$\displaystyle h'(s) = 64s + 20$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle h(s) = (-8s - 9)(-4s + 2)$

Step 2: Differentiate

[Derivative] Product Rule: $\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)]$
[Derivative] Basic Power Rule: $\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)$
[Derivative] Simplify: $\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)$
[Derivative] Distribute [Distributive Property]: $\displaystyle h'(s) = 32s - 16 + 32s + 36$
[Derivative] Combine like terms: $\displaystyle h'(s) = 64s + 20$