Answer:
x = 2
Step-by-step explanation:
From the data, we obtain the slope :
-1, 8 ; 3, - 4
Slope = Rise / run
Rise = y2 - y1 = (-4 - 8) = - 12
Run = x2 - x1 = (3 - (-1)) = 4
Slope, m = - 12 / 4 = - 3
Recall:
Equation of line :
y - y1 = m(x - x1)
y - 8 = - 3(x + 1)
y - 8 = - 3x - 3
y = - 3x - 3 + 8
y = - 3x + 5
Substituting y = - 3x + 5 into the equation 2x+4y= 0
2x + 4(-3x + 5) = 0
2x - 12x + 20 = 0
-10x = - 20
x = 2
Answer:
b >= -26
Step-by-step explanation:
The ">=" is a greater than or equal to sign. I can't find it on my key board...
Answer:
90 couples or 180 ppl
Step-by-step explanation:
lets take "x" as the couples who remained at the party
we start out with 250:
250
but by the time it is 11pm, 70 people have left the party
since it is a couples party we need to divide by two to account for the couples
=x
250-70=180
180/2=90
so 90 couples or 180 ppl
hope this helps
The value of (p*q)(5) and (q*p)(5) is 288
<h3>How to determine the
composite functions?</h3>
The functions are given as:
p(x)=x+1
q(x)=2x^2-2
Calculate p(5) and q(5)
p(5)=5+1 = 6
q(5)=2(5)^2-2 = 48
The functions are then calculated as:
(p*q)(5) = p(5) * q(5)
(p*q)(5) = 6 * 48
(p*q)(5) = 288
Also, we have:
(q*p)(5) = (p*q)(5)
(q*p)(5) = 288
Hence, the value of (p*q)(5) and (q*p)(5) is 288
Read more about composite functions at:
brainly.com/question/20379727
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<u>Complete question</u>
Suppose that the functions p and q are defined as follows. p(x)=-x-1 q(x)=-2x^2-2 Find the following. (p*q)(5) (q*p)(5)