Answer:
B. Only (-3,5)
Step-by-step explanation:
1. Plug in the x values from the answer choices and see if it gives you the y-value in the answer choices.
A. y=-3(-2) - 4
= 6 - 4
y = 2
The ordered pair for answer A is (-2,4) where the y-value is 4. Well, when you plugged in -2 for x you got 2, not 4. So A can't be the right answer.
B. y=-3(-3) - 4
= 9- 4
y = 5
The y-value in this ordered pair (-3,5) is indeed 5, so this answer holds true.
Therefore, the answer is B because it is the only ordered pair that has the correct solution.
<span>In angle ABC, the measure of angle BAC = 5x + 8, </span>measure of angle ABC = 6x + 22, and measure of angle BCA = 3x 25. You know that the sum of the angles of a triangle is 180 degrees. And since the angles BAC, ABC and BCA are the corners of the triangle then just add them and equate to 180 degrees.
5x + 8 + 6x + 22 + 3x + 25 = 180
14x + 55 = 180
14x = 125
x = 8.93
Answer:
If there is "p" pounds of peanuts and "m" pounds of '20% peanuts and 80% almonds' mixture, then, we can get the following equations,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
whose solution is 5 lb peanuts and 5 lb mixture.
Step-by-step explanation:
In the mixture which Delaney wants to make there would be
lb
= 6 lb of peanuts
So, there will be (10 - 6) lb
= 4 lb of almonds
If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then according to the question,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
So, from (2),
m = 5 --------------(3)
So, from (1) and (3) ,
p = (10 - 5) = 5
Answer:
initial value is 15
growth factor is 1.25
Step-by-step explanation:
we are given
The number of members f(x) in Joe's health club
increased by 25% every year over a period of x years
The function below shows the relationship between f(x) and x as

now, we can compare it with exponential function

where
a is the initial value
b is growth factor
we can compare and find 'a' and 'b'

So,
initial value is 15
growth factor is 1.25
we know that
x is time
so, it can never be negative
f(x) is number of chambers
so, f(x) can not be negative
now, we can draw graph
and we get as