What is the length of a soccer field.
Answer:
The number is -2
Step-by-step explanation:
12 less than 7 times a number can be express as follows,
let the number = a
7a - 12
According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.
32 less than the product of -3 and the number can be express below.
-3a - 32. Therefore,
7a - 12 = -3a - 32
collect like terms
7a + 3a = - 32 + 12
10a = -20
divide both sides by 10
a = -20/10
a = -2
The number is -2
Answer:
Kevin will earn the money before than Philip
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
Let's call x to the number of weeks
Philip works 6 hours each weekend, which means 6 hours per week, earning $8.75 per hour, which is equivalent to 6*8.75 = $52.5 per week
Philip has already saved $45. Then he needs the next number of weeks:
52.5*x + 45 = 225
x = (225 - 45)/52.5
x = 3.4
Philip needs at least 4 weeks
Kevin works 3 hours per day for 3 days a week, which means 9 hours per week, earning $7.5 per hour, which is equivalent to 9*7.5 = $67.5 per week
Kevin has already saved $30. Then he needs the next number of weeks:
67.5*x + 30 = 225
x = (225 - 30)/67.5
x = 2.9
Kevin needs at least 3 weeks
Answer:
option A
Step-by-step explanation:
The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward
To express the function in normal form,
H = -SQ(X) + 6X - 5
So the y intercept is -5
To find the roots of H
H = -SQ(X) + 6X - 5
(x-1)(x-5) = 0
so the curve has x intercept at 1 and 5
Thus the max point is at x=3
so the curve is shift right by 3 units
{ the function g(x)=x2 has turning point (0, 0) }
since the max point is at x=3, sub x=3 into the function H,
the max point is (3, 4)
So the function H is shift up by 4 unit
