Express the following in expanded form by all three method

JulijaS [17]

The speed intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a quadratic function of the gas mileage (g), in miles per gallon, in terms of the vehicle speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following quadratic function:

g = 10 + 0.7 · v - 0.01 · v² (1)

An effective approach consists in using a graphing tool, in which a horizontal line (g = 20) is applied on the maximum desired mileage such that we can determine the speed intervals. The speed intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].

To learn more on quadratic functions: brainly.com/question/5975436

#SPJ1

3 0

2 years ago

A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What

Usimov [2.4K]

I think that it is saying that 8:15-8:45 is 7.5 miles right? Then 8- 8:15 is 4.5 and you are trying to find the average of an HOUR. So in order to get an hour you need 15 more mins. Which is 4.5 miles according to the chart. (8-8:15). So 4.5+4.5+7.5=16.5. Divided by three is 5.5 miles per hour. I'm not sure but this is what I would do.

5 0

2 years ago

Ray UW is the angle bisector of VUT. If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT? 32° 38° 48° 76°

stepan [7]

Ray UW bisect VUT it means it must be breaking them in two equal parts
VUT=VUW+WUV
and mVUW= mWUV
4x+6=6x-10
-2x=-16
x=8
mWUT=6x-10=6(8)-10=38°

Your answer is 38°

4 0

2 years ago

Read 2 more answers

Fractional indices pls help

bulgar [2K]

Answer:

Formula used :

(a^m)^n = a^(m×n)
a^m × a^n = a^(m+n)

$27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}$

k = (6x+3) is the right answer.

5 0

2 years ago

Please help STRUGGLING with math few math questions! Ty

-BARSIC- [3]

Question 1:

F(x) and g(x) are like variables, just plug into the equation.

f(x) + g(x) = (x + 6) + (12x - 7)

x+6+12x-7 = 13x-1

Question 2: f(3) + g(-1)

You plug in the x-values into the equation, and then take the answer and add them together.

f(3) = 3+4

g(-1) = 12(-1)-6

f(3) = 7

g(-1) = -18

7 + (-18) = -11

Question 3:

This is similar to question 1, plug in the variables and simplify.

9x - (7x+3)

Remember to distribute the "-"

9x - 7x - 3

2x - 3

6 0

3 years ago

Read 2 more answers

Express the following in expanded form by all three method​

Express the following in expanded form by all three method