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Arada [10]
3 years ago
10

Let g(x)=16+15xg(x)=16+15x and f(x)=x−65f(x)=x−65. Write (f∘g)(x)(f∘g)(x).

Mathematics
1 answer:
Marrrta [24]3 years ago
5 0
I assume that it is only <span>(f∘g)(x). If not, let me know in the comments

16 + 15x - 65
15x - 49</span>
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Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)
Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is -\frac{1}{3}, then the slope of the line perpendicular is 3.

Knowing this, we can start to construct the equation for the line:

y = mx + b

y = 3x + b

To solve for b, we plug in the coordinates of the point that we know the line runs through, (2, 1):

y = 3x + b

1 = 3(2) + b

1 = 6 + b

b = -5

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

y = 3x - 5

5 0
4 years ago
Which is equivalent to 64 to the 1/4 power
Sladkaya [172]

Answer:

The answer to your question is the first option

Step-by-step explanation:

                                            64^{1/4}

Process

1.- Find the prime factors of 64

                                      64  2

                                      32  2

                                      16   2

                                        8  2

                                        4  2

                                        2  2

                                         1

                      64 = 2⁶

2.- Express 64 as a fractional exponent

                      64^{1/4} = 2^{6/4}

3.- Simplify

                      64^{1/4} = 2^{4/4} 2^{2/4}

                      64^{1/4} = 2^{1} 2^{2/4}

                      64^{1/4} = 2\sqrt[4]{2^{2}}

4.- Result

                      64^{1/4} = 2\sqrt[4]{4}                                        

5 0
3 years ago
A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled. A) How many gallons of gas does the va
Setler79 [48]

Answer:

A)  \frac{x}{8} gallons

B)  Distance between Town A and Town B is 48y  miles


Step-by-step explanation:

A)

We know, number of gallons = \frac{DistanceTravelled}{MilesPerGallon}

if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:

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B)

Now, given is number of gallons = 2y & we know mpg is 24; <em>so what is the distance?</em>

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NumberOfGallons=\frac{DistanceTravelled}{MilesPerGallon}\\2y=\frac{D}{24}\\D=2y*24\\D=48y

7 0
3 years ago
Please show work. Geometry question
Pavlova-9 [17]

Answer:

Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B

6 0
3 years ago
terrell has a water purifier for backpacking. it will purify 1 liter of water in 1 min. how long would it take terrell to purify
Ghella [55]
4 × 750 = 3 L so it will take 3 minutes for 4 canteens and
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total it will take 6 minutes.
4 0
3 years ago
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