Answer:
y = -4x - 38
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.
Apply the distributive property to find the slope intercept form.
y + 2 = -4(x+9)
y + 2 = -4x - 36
y = -4x - 38
Answer:
r = -
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r = ← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 = ( multiply both sides by - 6 )
12 = k, thus
r = ← equation of variation
when t = - 7, then
r = = -
Answer:
A) 5.50x + 10y ≤ 800
B) yes
C) no
D) 80 pull buoys and 35 kick boards
Step-by-step explanation:
A) The sum of costs must not exceed the budget:
5.50x +10.00y ≤ 800
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B) 5.50(0) +10.00(50) = 500 ≤ 800 . . . . . yes, the coach could buy these
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C) 5.50(125) +10.00(25) = 937.50 > 800 . . . no, they cost too much
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D) The point (80, 35) is in the solution space. The coach could buy 80 pull buoys and 35 kick boards.
To answer the question, the first thing we must do is rewrite the following expression:
4 times as many as 25
We rewrite this expression in algebraic form.
We have then:
4 times as many as 25 = 4 * 25
Making the corresponding calculation, we will obtain:
Answer:
100 is 4 times as many as 25