4(x+7) becomes 4x+28 you multipli the 4 in parentheses ans 2(x+7) becomes 2x+14
4x+28=2x+14 you move the x termes to the left and other numbers to the right look:
4x-2x=14-28 when you change the sides always change the sign +or-
2x=-14
2x/2=-14/2
X=-7
Answer:
What do you mean a radius equal to 12 feet? What is your question?
Step-by-step explanation:
Answer:
h(x) = (x +1.5)^2 -20.25
Step-by-step explanation:
We assume you want to rearrange h(x)= x^2 +3x -18.
Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25
h(x) = (x^2 +3x +2.25) -18 -2.25
Now, write the expression in parentheses as a square, simplify the constant.
h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form
Answer:
27 13/60
Step-by-step explanation:
What you have tried to do is not an impossible way to do it. What you could do is set your fractions and whole numbers like this.
( 7 + 1/10) * (3 + 5/6) I don't know if you know what FOIL is, but that is the way to proceed.
- First: (meaning the first in each factor ). 3 * 7 = 21
- Outside: (meaning the two terms near outside the brackets) 7 * 5/6 = 5 5/6
- Inside: The two terms closest to the * sign 1 / 10 *3 = 3/10
- Last: The two end terms (1/10 * 5/6 = 5/60 5/60
Now you can add. 21 + 5 is the whole number amount = 26
Add the fractions
- 5/6 + 3/10 + 5/60 The lowest common multiple is 60
- 50/60 + 18/60 +5/60 = 73 / 60 = 1 and 13/60
Add that to 26 and you get 27 13/60
Answer:
5 hours
Step-by-step explanation:
Electrician got 90 for the first hour from the total bill, thus we can say:
330 - 90 = 240 remaining for remaining hours
$60 per hour, so $240 for how many hours?? We divide:
240/60 = 4 hours
So, electrician works 4 hours for 60 per hour = 2 * 6 = 240
and 1 hour for 90 (first hour) = 1 * 90 = 90
Total Bill is 240 + 90 = 330 {exactly what we have}
So we have checked and back-worked our problem to get electrician's total hours of work:
1 + 4 = 5 hours