Answer: A. y=x²-9x+20
Step-by-step explanation:
As we can see from the graph there are two x-intercepts: (4,0) (5,0)
The easiest way we can do, is we plug these two values into each of the choices.
A. y=x²-9x+20
(4, 0) YES
(5,0) YES
B. y=x²-8x+18
(4, 0) NO
(5, 0) NO
C. y=x²+9x+20
(4, 0) NO
(5, 0) NO
D. y=x²+x-12
(4, 0) NO
(5, 0) NO
Therefore, the answer should be y=x²-9x+20
Hope this helps!! :)
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7. 60 degrees
8. 33 degrees
9. 37 degrees
10. 74 degrees
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
The absolute value is the number disregarding (ignoring) the positive or negative sign. So the absolute value of -282 is l 282 l :)