6(4x + 5) = 3(x + 8) + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
24x - 3x = 27 - 30
21x = - 3
x = -3/21
x = - 0.143 <==
Micah is 5 inches shorter than twice the height of Jasmine
Micah = 5 inches shorter than 2 x Jasmine
Micah = 2 x Jasmine - 5 <em>(jasmine is 32 inches tall. Replace jasmine with 32)
</em>
Micah = 2 x 32 - 5
Micah = 64 - 5
Micah = 59
Micah is 59 inches tall
Answer:
a
Step-by-step explanation:
y=4x+6 is the equation simplified and that is what the graph is showing.
F(x) = 8 - 10x
g(x) = 5x + 4
Finding (fg)(-2).
First let us find fg(x), this is the same as f(g(x))
f(g(x))
f(5x + 4)
Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4
f(x) = 8 - 10x
f(5x +4) = 8 - 10(5x + 4)
= 8 - 50x - 40
= -50x + 8 - 40
= -50x - 32
f(g(x)) = fg(x) = -50x - 32
fg(-2) = -50*(-2) - 32 = 100 - 32 = 68
Therefore fg(-2) = 68
I hope this helped.
Answer:
<em>d) The equation of the line passing through the points </em>
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given points are ( 0, -4) and (2 ,0)
slope of the line
<u><em>Step(ii):</em></u>-
The equation of the line passing through the point ( 0,-4) and having slope
2 ( y +4) = -x
2 y + 8 = -x
2 y = - x - 8
<u><em>Final answer:-</em></u>
<em>The equation of the line passing through the points </em>
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