9514 1404 393
Answer:
Step-by-step explanation:
The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).
First Plan: y = 40 +0.13x
Second Plan: y = 53 +0.08x
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We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:
(y) -(y) = (40 +0.13x) -(53 +0.08x)
0 = -13 +0.05x
Multiplying by 20 gives ...
0 = -260 +x
Adding 260, we have ...
x = 260
The plans cost the same for 260 miles of driving.
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The cost of the plans for that distance is ...
y = 40 +0.13x = 40 +0.13(260) = 40 +33.80
y = 73.80
The cost when the two plans cost the same is $73.80.
The composition of transformation that maps ABCD to EHGF is reflect over the y-axis, then translate (x - 1, y + 1)
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>
Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.
The composition of transformation that maps ABCD to EHGF is reflect over the y-axis, then translate (x - 1, y + 1)
Find out more on transformation at: brainly.com/question/4289712
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Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Putting this into slope-intercept form: y = mx + b</u>
- 9x + 3y = 12
- 3y = -9x + 12
- y = -3x + 4
<u>Replacing y with f(x)</u>
Round 28 to nearest ten and 868 to nearest hundred
900 ÷ 30 = 30
Answer:
x = 1 ; x = 8
Step-by-step explanation:
6x² - 5x + 10 = 5x² + 4x + 2
x² - 9x + 8 = 0
x² - 8x - x + 8 = 0
x(x - 8) - (x -8) = 0
(x - 8)(x - 1) = 0
x = 1, x = 8
