Which choice below represents the correct domain for an exponential growth or decay function?

One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes th

Umnica [9.8K]

Answer:

22/30

Step-by-step explanation:

22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.

So, 22/30

8 0

3 years ago

Solve with substitution y = x - 15 y = 4x

Oduvanchick [21]

Answer:

(-5, -20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

y = x - 15

y = 4x

Step 2: Solve for x

Substitution

Substitute in y: 4x = x - 15
[Subtraction Property of Equality] Subtract x on both sides: 3x = -15
[Division Property of Equality] Divide 3 on both sides: x = -5

Step 3: Solve for y

Define original equation: y = 4x
Substitute in x: y = 4(-5)
Multiply: y = -20

7 0

3 years ago

Benny earned $20.00 for weeding the garden. He also earned c dollars for mowing the lawn. Then, he spent x dollars at the candy

vfiekz [6]

Answer:

A

Step-by-step explanation:

He starts with 20, then ADDS c dollars from earning then SUBTRACTS x dollars by spending.

8 0

3 years ago

Read 2 more answers

Please help I'm so confused

alex41 [277]

Answer:

Step-by-step explanation:

V = 1/3 pi r^2 h Multiply both sides by 3

3V = pi r^2 h Divide by pi * h

$\frac{3*V}{\pi * h}$ = r^2 Take the square root

$\sqrt{\frac{3V}{\pi*h} }$ = r

4 0

3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

igomit [66]

Answer:

$\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x$

Step-by-step explanation:

This derivative consist in the sum of three functions: $f(x) = 81\cdot \sin^{-1} x^{9}$ , $g(x) = - x^{81}$ and $h(x) = - x^{2}$ . According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:

$\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)]$

Now, each derivative is found by applying the derivative rules when appropriate:

$f(x) = 81\cdot \sin^{-1} x^{9}$ Given

$f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}}$ (Derivative of a arcsine function/Chain rule)

$g(x) = - x^{81}$ Given

$g'(x) = -81\cdot x^{80}$ (Derivative of a power function)

$h(x) = - x^{2}$ Given

$h'(x) = -2\cdot x$ (Derivative of a power function)

$\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x$ (Derivative for a sum of functions/Result)

6 0

3 years ago