Answer:
Step-by-step explanation:
When two variables say x and y are proportional let us assume y dependent variable and x independent variable
then we have y =kx
Here k is called the constant of proportionality.
Whenever x increases/decreases by 1 unit, the y value also increases/decreases by k units.
Whenever x=1, y =k
and always 
Thus we can fill up as
the constant of proportionality is always the point___(1.k)____, where k is the constant of proportionality. Additionally, you can find the constant of proportionality by finding the ratio of___y to x____, for any point on the___graph of the function.___.
Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
Answer:
140
Step-by-step explanation:
Answer:
11
12
does not
Step-by-step explanation:
If we know how much money the coach has and how much each bag costs we can find out how much bags the coach can by by divide the money the coach has by the price of one bat bag. So we do....
605 / 55 = 11
So now we know that she can by 11 bags maximum, while she needs 12 bags for the team. From this we know that she does not have enough money to buy 12 bags.
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
