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gtnhenbr [62]
2 years ago
8

(-3x2 + x + 5) − (4x2 − 2x)

Mathematics
2 answers:
Tasya [4]2 years ago
7 0

Answer:

-7x^2 + 3x + 5

Step-by-step explanation:

-3x^2 + x + 5 - 4x^2 + 2x

nydimaria [60]2 years ago
7 0
(-6+x+5)-(8-2x)
-1+x-8+2x
-9 + 3x
If 3x-9=0
Then x =3
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Two sides of a triangle have the following measure of 7,8.what is the range of possiable values for the 3rd side?
astraxan [27]
The third side of the triangle could be between 1 and 15 units, exclusive. This is because there is a theorem in geometry that states that, if you add 2 of a triangle's sides, the third side has to be less than the sum of the first two sides. This means that the third side has to be less than 8 + 7 = 15. So the third side is less than 15 units. This also means that the third side plus another side has to be greater than the last side. To find the minimum value, you take the smallest side, in this case, 7, and create an inequality. The inequality would be 7 + x [the third side] > 8. Solving this inequality, you get that x > 1. This means that 1 < x < 15. That is the range of values for the third side.
5 0
4 years ago
Distribute 2(-3x + 5)
Zina [86]

Answer:

= −6x+10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days
LenaWriter [7]

Answer:

270

Step-by-step explanation:

3 0
3 years ago
Consider a home mortgage of ​$225,000 at a fixed APR of 4.5 ​% for 30 years. a. Calculate the monthly payment. b. Determine the
White raven [17]

<u>The formula for the monthly payment</u>.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1} , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate =\frac{4.5\%}{12}= 0.375\% = 0.00375

Total number of months = (30*12)months=360 months

Also given that, the principal amount is $225000

a.  So, the monthly payment will be.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140

Thus, the monthly payment will be approximately $1140


b. The <u>total amount paid</u> over the term of the loan will be: \$ 1140*360 months = \$ 410400


c.   As the principal amount was $225000 , so the amount of interest = (\$ 410400- \$ 225000)= \$ 185400

So, the percentage of amount that is paid toward the principal =\frac{225000}{410400}*100\% =54.82\%

and the percentage of amount that is paid toward the interest =\frac{185400}{410400}*100\%=45.18\%

4 0
3 years ago
Suppose 5 out of every 18 of the people who like to work out have a gym membership. At the same rate, in a group of 216 people,
Jlenok [28]

Answer:

60 people

Step-by-step explanation:

Set up a proportion:

\frac{5}{18} = \frac{x}{216}

Cross multiply and solve for x:

18x = 1080

x = 60

So, 60 people would have a gym membership

7 0
3 years ago
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