Answer:
$100
Step-by-step explanation:
We can see from the graph that the rate of change is $20. This is because for every increase in x, the value of y increases by $20.
Going from this, the value at x=4 is $80; this will make the value at x=5
80+20 = 100
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Answer:
-1
Step-by-step explanation:
the common ratio in this geometric series is -1
Answer:
21y² +34 yx + 8x²
Step-by-step explanation:
Area of a rectangle is given by L×W where L is length, and W is width
Given L=3y+4x
W=7y+2x
Area= (3y+4x) × (7y+2x)
3y(7y+2x) + 4x(7y+2x)
21y² + 6yx +28yx+8x²
21y² +34 yx + 8x²
Answer:
x=6 x=3
Step-by-step explanation:
x^2-9x+18=0
Factor
What 2 numbers multiply to 18 and add to -9
-6*-3 = 18
-6-3 = -9
(x-6) (x-3) =0
Using the zero product property
x-6 =0 x-3 =0
x=6 x=3
Answer:
I know you could easily solve this just looking at it.
But if you want the algebraic solution:
x + x^2 = 30
x^2 + x -30 = 0
a = 1
b = 1
c = -30
Using the quadratic formula:
x = [ -b +- sqr root (b^2 - 4ac) ] / 2a
x = [-1 +- sqr root (1 - 4 * 1 -30) ] / 2*1
x = [-1 +- sqr root (1 + 120) ] / 2
x = -1 +- sqr root (121) / 2
x1 = (-1 + 11) / 2 = 10 / 2 = 5
x2 = (-1 -11) / 2 = -12 / 2 = -6
Answers are 5 and -6
5 + 5^2 = 30
-6 + (-6)^2 = 30
-6 +36 = 30
Step-by-step explanation:
