Answer:
135=15m+25 OR 15m+25=135
Step-by-step explanation:
To set this equation up you want to look at key words. It states that "Karina now saved $135" in meaning her total saved. Now it states she STARTED the account with 25 so that would be added to the amount she adds per month (which is $15). The equation can be set up as 15m+25=135. 15m because m stands for every month she added $15, 25 because she started the account with 25 and 135 because that's her total after the several months.
Answer:
taste of your own medicine jk
Step-by-step explanation:
Answer:
33x12.50R15)
Step-by-step explanation:
Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.
<h3>How to Write the Equation of a Linear Model Function?</h3>
The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.
Equation for Rink A:
Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4
Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:
19 = 4(1) + b
19 - 4 = b
b = 15
Substitute m = 4 and b = 15 into y = mx + b:
y = 4x + 15 [equation for Rink A]
Equation for Rink B:
Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6
Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:
15 = 6(1) + b
15 - 6 = b
b = 9
Substitute m = 6 and b = 9 into y = mx + b:
y = 6x + 9 [equation for Rink B]
To find how many hours (x) both would cost the same (y), make both equation equal to each other
4x + 15 = 6x + 9
4x - 6x = -15 + 9
-2x = -6
x = 3
The hours Jeremy wants to skate is 3.
Learn more about linear model function on:
brainly.com/question/15602982
#SPJ1
Answer:
f(g(x)) = -5x^2 - 30x + 49
Step-by-step explanation:
f(g(x)) is a composite function, where 'x' in f(x) is replaced by 'x^2 + 6x - 7' because the latter expression is now the input to f(x).
Write out f(x) = -5x + 14, and then replace each 'x' with '( )'
f( ) = -5( ) + 14
Now insert 'g(x)' into the first set of parentheses and 'x^2 + 6x - 7' into the second set of parentheses:
f( ) = -5( ) + 14 becomes:
f(g(x) = -5(x^2 + 6x - 7) + 14. After simpification, this becomes
f(g(x)) = -5x^2 - 30x + 35 + 14, or
f(g(x)) = -5x^2 - 30x + 49