Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
3/10=4/x
3x=10(4)
3x=40
x=13.33
The graph would shift 5 units left and 3 units up.
<h3>Solution(s):</h3>
<u>1)</u><u> What distance did a car travel that went 70 mph for 6 hours?</u>
Given:
<u>Multiply the RHS by 6 to see what distance was covered by the car in 6 hours.</u>
- 70 miles = 1 hour
- => 70 x 6 miles = 6 hours
- => 420 miles = 6 hours
The car traveled 420 miles in 6 hours.
<u>2)</u><u> What is the perimeter of a rectangle with a length of 7 cm and a width of 4 cm?</u>
Given:
- Length: 7 cm
- Breadth: 4 cm
Formula to find perimeter: 2(L) + 2(B)
<u>Substitute the values into the formula to find the perimeter.</u>
- 2(L) + 2(B)
- => 2(7) + 2(4)
- => 14 + 8
- => 22 cm
The perimeter of the rectangle is 22 cm.
Answer:
$365,400
Step-by-step explanation:
If their budget is $5,060 this year and its $1,000 higher, than we can say that last year was $4060. Next, we look at the 11%. Their entertainment is 11% of the total budget. This means the rest of the budget is 89%. Multiply $4,060 by 89 which gets you $361,340. Add this with the $4060 (the 11% left) and it's $365,400. (I'm not sure if my math is 100% correct, but I know these are the proper steps.)
