If <em>y</em> = <em>x</em> and <em>y</em> = <em>z</em>, then by substitution we can say <em>x</em> = <em>z</em>.
In this case, substitution gives us
-1/2 <em>x</em> - 2 = -3/2 <em>x</em> + 2
and we can solve for <em>x</em> :
3/2 <em>x</em> - 1/2 <em>x</em> = 2 + 2
<em>x</em> = 4
then solve for <em>y</em> :
<em>y</em> = -1/2 <em>x</em> - 2
<em>y</em> = -1/2 * 4 - 2
<em>y</em> = -2 - 2
<em>y</em> = -4
Answer:
each factor corresponds to a zero of the function
Answer:
(-5,7)
Step-by-step explanation:
When we move from (-5, -8) to (-7, -6), we move -2 units across the x axis to get from the 1st to 2nd point, and we move -2 units across the y axis to get from the 1st to the 2nd point. So, just subtract -3 by 2 and 9 by 2 to get -5 and 7.
Answer:
C
Step-by-step explanation:
900 divided by 50 is 18. it will take 18 hours to get to her destination at this speed.
try adding 10 to 50, to speed up by 10 mph
900 divided by 60 is 15
15 is 3 hours less than 18
Answer:
length = 104/3 ft
width = 40/3 ft
Step-by-step explanation:
<u>Variables:</u>
L = length
w = width
<u>Set up equations:</u>
<u>Substitute L with the first bullet point equation:</u>
2L + 2w = 96
2(8 + 2w) + 2w = 96
16 + 4w + 2w = 96
16 + 6w = 96
6w = 80
w = 40/3 ft
<u>Find L now that you have the value of the width:</u>
L = 8 + 2w
L = 8 + 2(40/3)
L = 8 + 80/3
L = 104/3 ft
<u>Final Values:</u>
length = 104/3 ft
width = 40/3 ft
