Answer:
The dependent variable is the number of plays he carries the ball.
The independent variable is the number of touchdowns he scores.
The dependent variable is the number of yards he gains.
Step-by-step explanation:
Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.
The dependent variable is the number of plays he carries the ball.
The independent variable is the number of plays he carries the ball.
The independent variable is the number of touchdowns he scores.
The dependent variable is the number of yards he gains.
The dependent variable is the number of touchdowns he scores.
y = kx
y = dependent variable. it is the variable that is explained by the dependent variable
x = is the variable that explains the dependent variable
Make a graph and put a point at exactly (1,2) and then make a like at y=3 make a line through the point and you'll see that this is an undefined equation x cant equal all those numbers
Given two numbers x and y such that:
x + y = 12 ... (1)
<span>two numbers will maximize the product g</span>
from equation (1)
y = 12 - x
Using this value of y, we represent xy as
xy = f(x)= x(12 - x)
f(x) = 12x - x^2
Differentiating the above function:
f'(x) = 12 - 2x
Maximum value of f(x) occurs at point for which f'(x) = 0.
Equating f'(x) to 0 we get:
12 - 2x = 0
2x = 12
> x = 12/2 = 6
Substituting this value of x in equation (2):
y = 12 - 6 = 6
Therefore, value of xy is maximum when:
x = 6 and y = 6
The maximum value of xy = 6*6 = 36
Answer:
A: Fraction = 11/16 of an inch. Decimal = .6875 inch
B: Fraction = 2 1/2 inch. Decimal = 2.5 inch
Step-by-step explanation:
Each inch is divided by 16ths on the ruler. Count where the measured values lay on the ruler. Once you find the fraction you can divide the fraction to find the decimal answer.
Answer:
The range is { -1,3,7,11,15}
Step-by-step explanation:
The range is just the output values
f(-2) = 4(-2) +7 = -8+7 =-1
f(-1) = 4(-1) +7 = -4+7 = 3
f(0)= 4(0) +7 = 7
f(1) = 4(1) + 7 = 11
f(2) = 4(2) +7 = 8+7 = 15
