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3 years ago

PLEASE i need help

Mathematics

1 answer:

____ [38]3 years ago

6 0

1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4

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Pls help pls helppp i will giving breanlist

GaryK [48]

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

$f(x)=\dfrac{1}{x-3}$

$g(x)=\sqrt{x+5}$

Composite function:

$\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}$

Domain: input values (x-values)

For $(f\:o\:g)(x)$ to be defined:

$x+5\geq 0 \implies x\geq -5$

$\sqrt{x+5}\neq 3 \implies x\neq 4$

Therefore, $-5\leq x < 4$ and $x > 4$

⇒ [-5, 4) ∪ (4, ∞)

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2 years ago

Expalin what the vertical line test is and it used ?

katovenus [111]

Answer:

You use the vertical line test to see if a function is relation is a function

Step-by-step explanation:

A function is a relation with only one output for every input. That means that if the x value and two y values, it is not a function.

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4 years ago

Read 2 more answers

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.

DochEvi [55]

Answer:

$\frac{10}{99}$

Step-by-step explanation:

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3 years ago

Read 2 more answers

Ms. Spencer is packing orders for her bath supply business. One customer ordered 8 bath fizzies and 4 jars of sugar scrub. Each

sergey [27]

8 bath fizzes * 5 (ounces) = 40 ounces. 4 jars of sugar scrub * 1.5 (pounds) = 6 pounds. So 6 pound and 40 ounces. (40 ounces = 2.5 pounds. So 8.5 pounds in total.) ( If you want to convert the answer to ounces, 8.5 pounds is 136 ounces.)

8 0

3 years ago

What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?

malfutka [58]

Answer:

The distance is $\sqrt{20}$ or $2\sqrt{5}$ .

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula $\sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2 }$

Insert (0,7) and (4,5)

$\sqrt{(0-4)^{2}+(7-5)^2 }$ = $\sqrt{(-4)^{2}+(2)^2 } = \sqrt{(16)+(4)} } = \sqrt{20} = 2\sqrt{5}$

6 0

3 years ago