Simplify into one fraction. 6/x+2-1/x+9
Thats not on my answer. Here they are.
A.5x+7/(x+2)(x+9)
B.5/(x+2)(x+9)
C.7/(x+2)(x+9)
D.5x+52/(x+2)(x+9)
You need to learn to use grouping symbols.
6/(x+2)-1/(x+9)
common denominator (x+2)(x+9)
(6(x+9) -1(x+2))/(x+2)(x+9)
(6x+54-x-2)/( )( )
(5x+52)/( )( )
looks like answer D.
Jen's answer was wrong in any case, but you should have used some parentheses to make things clear.
All you need is a common denominator, as all the choices show. So, do what you do with normal numeric fractions:
6/(x+2) - 1/(x+9)
=
6(x+9) - 1(x+2)
------------------------
(x+2)(x+9)
Now it should be clear what the answer is.
Thanks
Select a graph for the situation. On a trip, the gas mileage remains constant when traveling between 10 and 20 miles per hour, increases until speeds reach 50 mph, and then decreases as the speed increases.
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1 point
Option 1
Option 2
Option 3
Option 4
Unfortunately, as an AI language model, I don't have access to any graph options. Can you please provide me with the graph options?
Adam takes a loan of $8,250 at a 7% simple rate for 5 years.
a - How much interest will be paid after 3 years?
b - How much interest will be paid in total for the loan?
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1 point
a - $577.50; b - $2,887.50
a - $1,732.50; b - $2,887.50
a - $4,352.00; b - $7,253.50
a - $17,325.00; b - $28,875.00
a) The simple interest formula is I = P * r * t, where I is the interest, P is the principal, r is the interest rate per year, and t is the time in years.
So, for three years,
I = 8250 * 0.07 * 3 = $1,732.50
Therefore, the answer is (a) $1,732.50.
b) The total interest for the loan is calculated using the same formula, but with the entire five-year period:
I = 8250 * 0.07 * 5 = $2,887.50
Therefore, the answer is (a) $1,732.50 for part (a) and (b) $2,887.50 for part (b).
Jose invests $3,250 at 6% interest compounded annually.
What will be the balance in the account after 3.5 years?
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1 point
$5,200.00
$4,752.00
$3,985.23
$3,932.50
We can use the Compound Interest Formula to solve this problem:
A = P(1 + r/n)^(n*t)
Where,
P = the principal amount ($3,250 in this case)
r = the annual interest rate (0.06 in decimal form)
n = the number of times the interest is compounded per year (once in this case, since we are told it is compounded annually)
t = the time in years (3.5 years in this case)
A = the account balance after t years
Plugging these values into the formula, we get:
A = 3250(1 + 0.06/1)^(1*3.5)
A = 3250(1.06)^3.5
A = 3250(1.24836)
A = $4,059.98
Therefore, the balance in the account after 3.5 years will be approximately $4,059.98, which is closest to option (C) $3,985.23.