Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
Answer:
Step-by-step explanation:
<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>
<u>The slope is:</u>
- m = (-8 - 2)/(-1 - 1) = -10/-2 = 5
<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>
- 2 = 5(1) + b
- b = 2 - 5
- b = -3
<u>The line is:</u>
<u>Point (x, 17), substitute y-coordinate and solve for x</u>
- 17 = 5x - 3
- 5x = 17 + 3
- 5x = 20
- x = 20/5
- x = 4
The <em>speed</em> 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 <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:
g = 10 + 0.7 · v - 0.01 · v² (1)
An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> 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
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Step-by-step explanation:
Hey there!
While factorising you remember to make it take common in most of the expression.
Here;
=mx+cx+my+cy
Take common 'x' in "mx+cx" and 'y' in my + cy.
= x(m+c) + y(m+c)
Now, "(m+c)" common again.
= (m+c) (x+y)
Therefore the factorized form of the expression in (m+c)(x+y).
<u>Hope it helps</u><u>.</u><u>.</u><u>.</u>
Set up the following equation for this segment:
x is segment AB's length, and 3x is segment BC's length. 20 is segment AC's length.
Combine like terms:
Divide both sides by 4 to get x by itself:
x will equal 5.
Plug this value into the values for both segments:
Segment AB:
Segment AB is 5 inches long.
Segment BC:
Segment BC is 15 inches long.