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
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We have two points, (3,0) and (0,-3). So we can find the slope of the line:
m=(y2-y1)/(x2-x1)
m=(-3-0)/(0-3)
m=-3/-3
m=1 so far for the line y=mx+b we have:
y=x+b, b is the y intercept which we were told is -3 so
y=x-3
The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..
y=x-3 subtract x from both sides
-x+y=-3
While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:
x-y=3
Answer:
Step-by-step explanation:
All we have to do is input the given values of x into the functions.
The first function:
f(x) = x^2 - 5x - 6
f(0) = 0^2 - 5(0) - 6 = 0 - 0 - 6 = -6
f(0) = -6
f(2) = 2^2 - 5(2) - 6 = 4 - 10 - 6 = -12
f(2) = -12
f(-1) = -1^2 - 5(-1) - 6 = 1 + 6 - 6 = 1
f(-1) = 1
f(6) = 6^2 -5(6) - 6 = 36 - 30 - 6 = 0
f(6) = 0
The second function:
f(x) = x^3 - x^2 - 12
f(0) = 0^3 - 0^2 - 12 = 0 - 0 - 12 = -12
f(0) = -12
f(2) = 2^3 - 2^2 - 12 = 8 - 4 - 12 = -8
f(2) = -8
f(-1) = -1^3 - (-1)^2 - 12 = -1 - 1 - 12 = -14
f(-1) = -14
f(6) = 6^3 - 6^2 - 12 = 216 - 36 - 12 = 168
f(6) = 168
The third function:
f(x) = 5 * 2^x
f(0) = 5 * 2^0 = 5 * 1 = 5
f(0) = 5
f(2) = 5 * 2^2 = 5 * 4 = 20
f(2) = 20
f(-1) = 5 * 2^-1 = 5 * 0.5 = 2.5
f(-1) = 2.5
f(6) = 5 * 2^6 = 5 * 64 = 320
f(6) = 320
You would have to find out how many square feet the lawn is first:
70 x 50 = 3500 square feet
You are told that one pound = 200 square feet so use this to calculate how many pound you’ll need for 3500 square feet.
3500 square feet divided by 200 square feet = 17.5 pounds
Answer: 17.5 pounds
To serve 3 you half the recipe so divide each number by 2
3/4 cup/2 = 3/8 cup granulated sugar
1 cup/2 = 1/2 cup of evaporated milk
1/3teaspoon/2 = 1/6 teaspoon of vanilla
12 slices/2 = 6 slices of French bread
