The total number of games!
earns $8 each week mowing lawns and
spends $2 of it. Joe earns $10 each week
and spends $3 of it. Which expression can
be used to find out how many weeks it will
take for them to save for the video game?
52-[(8 + 2) - (10 + 3)]
b. 52 [(8-2) - (0 - 3)]
52 +[(8-2) + (10 - 3)]
d. 52 + [(8 + 2) + (10 + 3)1
a.
Answer:
52/[(8 - 2) + (10 - 3)]
Step-by-step explanation:
Jeff earns $8 and spends $2 each week.
Each week he keeps (8 - 2).
Joe earns $10 and spends $ each week.
Each week he keeps (10 - 3).
The total amount they keep each week is
(8 - 2) + (10 - 3).
If you divide the cost of the game by the amount they keep each week, you get the number of weeks.
Answer: 52/[(8 - 2) + (10 - 3)]
Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7
If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?
g(x) = (x + 5^)2
g(x) = (x − 5)^2
g(x) = (x − 9)^2
g(x) = (x + 9)^2
Answer:
The equation for g(x) is:
g(x)=(x+5)^2
Step-by-step explanation:
We are given the information about the graph of the function f(x) and g(x) as:
graph of function f of x open upward and has its vertex at (-7,0).
Graph of function g of x opens upward and has its vertex at (-5,0).
If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).
Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).
so, the equation of g(x) will be:
g(x)=(x+5)^2.
Hence, the translation is a shift of the function f(x) 2 units to the right.
It takes Franklin 14 hours to make a 200-square-foot cement patio thus his rate is 1/14 patios per hour
It takes Scott 10 hours to make the same size patio thus his rate is 1/10 patios per hour
let x = the hours they need to make the patio together
the together rate is 1/x patios per hour
now we have
1/14 + 1/10 = 1/x ( equation )
by solving we find:
x = 35/6 hr
x = 5 5/6 hr
x = 5 hr (5/6)*60 min
x = 5 hr 50 min
Franklin and Scott will need 5 hours and 50 minutes to make the patio together.