Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3
The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4
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Answer:
$5.00
Step-by-step explanation:
All we have to do is multiply 25 x 1/5 or 20%
25 x 1/5 = $5.00
to check, $5 x 5 = 25
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f(w)=50w+25 and the number of flowers for 30 weeks is 1525.
Given that:
f(s)=2s+25
s(w)=25w
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
f(s)=2s+25
Replace s with s(w)
f(s(w))=2(s(w))+25
Substitute (w)=25w
f(s(w))=2(25w)+25
f(s(w))=50w+25
Hence:
f(w)=50w+25
The units of the measurement of f(w) are flowers
The number of flowers for 30 weeks means:
w=30
So, we have:
f(w)=50w+25
f(30)=50 * 30+25
f(30)=1525
Hence, the number of flowers for 30 weeks is 1525
Learn more about composite functions here:brainly.com/question/10687170
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Answer: x = 7 or x = -8
x² + x - 56 = 0
⇔ x² + 8x - 7x - 56 = 0
⇔ x(x + 8) - 7(x + 8) = 0
⇔ (x - 7)(x + 8) = 0
⇔ x - 7 = 0
or x + 8 = 0
⇔ x = 7 or x = -8
Step-by-step explanation: