Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
Answer:
He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received
Answer:
a) Circumference of the circle = 56.52 in
b) Area of the circle = 254.34 in²
Step-by-step explanation:
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
Note that:
Pizza is Circular in shape
a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.
The formula for the circumference of a circle when given that diameter = πD
Where D = Diameter of the circle = 18 in
π = 3.14
Hence,
Circumference of the circle = 3.14 × 18 in
= 56.52 in
b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.
The formula for the area of a circle = πr²
Radius = Diameter/2
Diameter = 18 in
Radius = 18 in/2 = 9 in
The area of the circle = 3.14 × 9²
= 254.34 in²
Answer:
PR=71
Step-by-step explanation:
visualize:
P Q R
O-------------O-------------O
13 58
so if PQ + QR = PR, than 13+58=PR
13+58=71
PR=71
