Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is 
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Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)
Generic slope intercept form of a line is given by y = mx + c
where "m" = slope of the line and "c" is the y - intercept
Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

We know that slopes of parallel lines are always equal
So the slope of line passing through (2, -2) is also 
Equation of line passing through
and having slope of m is given by


Substituting the values in equation of line we get



Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as 
Answer:
y = 2x2 - 10x + 12
Step-by-step explanation:
Answer:
a=2, b = 1, m=9
Step-by-step explanation:
i. 7 = 2a+3 -----> 4=2a---------> a=2
ii. -1 = 2b-3 -------> 2 = 2b ------> b = 1
iii. 2(3)+3 = m -------> 6+3 = m -------> m=9
Hope this helps!!! :D
Answer:
<em>The answer is 13</em>
Step-by-step explanation:
Two positive and consecutive old numbers are x and x - 2.
=> x(x - 2) = 143
=> x^2 - 2x - 143 = 0
=> x^2 + 11x - 13x - 143 = 0
=> x(x + 11) - 13(x + 11) = 0
=> (x + 11)(x - 13) = 0
=> x = -11 (invalid)
or x = 13 (valid), the remaining number is 13 - 2 = 11
=> The two numbers are 11 and 13, and the greater number is 13.
Hope this helps!
:)
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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