Answer:
13
Step-by-step explanation:
Since we want to find f(x) when x equals 10, we can substitute 10 in for x
f(x)=x/2 +8
f(10)=10/2+8
Divide 10 by 2
f(10)=5+8
Add 5 and 8
f(10)=13
So, f(x) when x=10 is 13
14.6 lbs/4 weeks = 3.65 lbs /week
she lost 3.65 pounds each week
Answer:
Step-by-step explanation:
There are 2 cups in 1 pint.
Sara gets 2 * 7 = 14 cups
She pays 20 dollars.
Tatiana buys 15 1/2 cups for 20 dollars. In effect, Tatiana got 1.5 cups free, so she got the better deal.
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
Answer:
B. 2⁷
Step-by-step explanation:
Whenever you multiply 2 exponents, you add the powers.
(2³)(2⁴)
3 + 4 = 7
2⁷
