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Morgarella [4.7K]
2 years ago
8

Write a function rule for "The output is three times the input increased by two

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
5 0

X is the input.

Three times the input would be 3x

Increased by two would be adding two at the end.

Answer: B. y = 3x + 2

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Find the slope of the line that goes through (0, 2) and (4, −2).
zmey [24]
M = (y2 - y1) / (x2 - x1) 

m = (-2 - 2) / (4 - 0) 

m = -4 / 4

m = -1 

The slope of the line that goes through (0, 2) and (4, -2) is -1. 
5 0
4 years ago
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In △ABC, ∠ABC = 60○
Temka [501]

A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.

A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is 180^{o}.

In the given question, point P is such that <APB = <APC = <BPC = 120^{o}. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;

<ABP = 30^{o}

Thus,

<ABP + <APB + <BAP = 180^{o}

30 + 120 + <BAP = 180^{o}

<BAP = 180^{o} - 150

<BAP = 30^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;

\frac{AP}{Sin B} = \frac{BP}{Sin30}

\frac{8}{Sin30} = \frac{BP}{Sin 30}

BP = \frac{8*Sin30}{Sin 30}

     = \frac{4}{0.5}

BP = 8.0

Therefore, the <u>value</u> of <u>BP</u> = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

#SPJ1

8 0
2 years ago
Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. T
Ksju [112]

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.

8 0
3 years ago
What is the domain of the function f(x)=√6−2x?
Mumz [18]
Domain of f(x) = √6 - 2x is {x | -∞ < x ≤ 3}
8 0
4 years ago
How would you represent the expression 36 – 3(4) on the number line shown?
zaharov [31]

Answer:

D. Begin at 36 and move four units to the left three times

Step-by-step explanation:

The given expression is 36 - 3(4)

It means "it starts with 36 less 3 times 4."

Here "less" means we have to move to the left

Therefore, the answer is "D. Begin at 36 and move four units to the left three times"

Thank you.

5 0
3 years ago
Read 2 more answers
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