Answer:
31 hours
Step-by-step explanation:
To at least buy the Air-Pods she will need to work at least 31 hours. You can either round at the beginning or end, I'll demonstrate rounding at the end. Divide $278.10 by $9.00, getting 30.9. You would have to round up to insure you have enough money, getting 31 hours
Answer: The slope = 5.
Step-by-step explanation:
The equation of a line in the slope -intercept form is given by :-
,where m= slope , c= y-intercept.
The slope of a line represents the rate of change of y with respect to x.
Given: Equation of line : Y= 5x+12
Here Slope (m)=5
Hence, the slope = 5.
Answer:
6 weeks
Step-by-step explanation:
Total savings= $325
For every week, his total savings decrease by $28.
Let's form an expression for the amount of money left in his account after w weeks.
325 -28w= 157
28w= 325 -157
28w= 168
<em>Divide by 28 on both sides:</em>
w= 168 ÷28
w= 6
Thus, there are 6 weeks until he has $157.
Answer:
R.H.S:
= cos ( 90 - theta )
= cos (90) cos(theta) + sin(90) sin(theta)
= 0 + sin(theta) =>[ cos(90) = 0 , sin(90) = 1]
= sin(theta)
Answer:
(x - 8)(2x + 3)
Step-by-step explanation:
To factor a polynomial of the form
ax² + bx + c,
follow these steps:
1) Multiply ac together.
2) Find 2 factors of ac that add to b. Call these factors p and q.
3) Break up the middle term of the polynomial into px + qx.
4) Factor by grouping.
Now let's follow the steps above with your problem.
You are given the polynomial
2x² - 13x - 24,
so a = 2, b = -13, and c = -24
1) Find ac.ac is the product 2(-24) = -48
2) Now we need to find 2 factors of -48 that add to b, -13.
I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have
-16 + 3 = -13
and -16 × 3 = -48.
3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.
The polynomial is now
2x² - 16x + 3x - 24
4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.
2x² - 16x + 3x - 24 =
= 2x(x - 8) + 3(x - 8)
We now see the common factor of x - 8, so we factor that out.
= (x - 8)(2x + 3)
Answer: (x - 8)(2x + 3)
