For the given set of equations, the values of x = -8 and x = -2.
We have, f(x) = x² + 7x- 24 and g(x) = -3x - 40
An Equation is an algebraic statement that shows that two quantities are equal.
For one x-value of a solution,
We equate both the given functions,
Thus, f(x) = g(x)
x² + 7x- 24 = -3x - 40
+7x + 3x -24 + 40 = 0
+10x + 16 =0
+ 8x + 2x +16 =0
x(x+8) + 2(x +8) =0
(x+8) (x+2) = 0
x = -8 and x = -2
Hence, Concluding, we have x = -8 and x = -2
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Answer:


I provided the exact form and decimal form!
Step-by-step explanation: hope this helps please mark brainliest!
Answer:
okay so im not sure which is being round so i'll do both
if you are going to round the miles and gallons:
278.2 to 278 because the decimal is below 0.5
19.6 to 20 because the decimal is above 0.5
278/20 = 13.9 which you would round to 14 because the decimal is above 0.5
if you are only going to round the answer:
278.2/19.6 = 14.193877551 which you would round to 14 because the decimal is below 0.5
so regardless of what you do, <u> your answer will be 14</u>
90 trucks- for every 2 cars there are 5 trucks
Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3