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Rudiy27
3 years ago
9

Factor by grouping 3x^2-11x+10

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer: (x - 2)(3x - 5)

Step-by-step explanation:

I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)

the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.

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3 years ago
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What is the perimeter of the shape below?<br> 3 cm<br> 4 cm<br> 8 cm<br> 4 cm
UNO [17]

Answer:

:D

Step-by-step explanation:

it is 19 cm

5 0
2 years ago
PLEASE HELP ME!!!!!
solong [7]

The full workings for the house purchase you made on a mortgage are as follows:

1. Price of House = $499,000 (given)

2. Down Payment = $99,800 ($499,000 x 20%)

3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).

4. Monthly Payment = $2,522.94 (given)

5. Number of monthly payments = 360 months (30 x 12)

6. Total Payback = $908,258.40 ($2,522.94 x 360)

7. Total Interest = $509,058.40 ($908,258.40 - $399,200)

8. Assessed Valuation = $199,600 ($499,000 x 40%)

9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)

10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12

11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)

<h3>What is a mortgage?</h3>

A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.

The borrower then makes a monthly payment, which includes the principal and its interest.

Learn more about mortgage payments at brainly.com/question/22846480

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3 0
2 years ago
A researcher asks participants to estimate the calories they consume in a meal. The researcher records the following estimates:
aleksley [76]

Answer:

Increase

Step-by-step explanation:

The researcher records the following estimates: 450, 426, 310, 500, and 220.

The mean of these estimates is derived below.

Mean = (450+426+310+500+220)/5

=1906/5=381.2

If the researcher removes the estimate of 220.

The mean of the other numbers will be:

Mean =(450+426+310+500)/4

=1686/4=421.5

By comparison of the two mean, we can see that the value of the mean will increase.

3 0
3 years ago
What is the equation of the circle with center (5,-4) and containing the points (5,-2)
gtnhenbr [62]

Answer:

The equation of a circle is (x-5)^2+(y+4)^2=4 .

Step-by-step explanation:

-The equation of a circle is:

(x-h)^2+(y-k)^2=r^2 (where center is (h,k), the point (x_{1},y_{1}) and the radius known as r).

-Use the center (5,-4) and the point (5,-2) for the equation:

(5-5)^2+(-2+4)^2=r^2

-Solve the equation:

(5-5)^2+(-2+4)^2=r^2

0 + (-2)^2=r^2

4 = r^2

\sqrt{4} = \sqrt{r^2}

2 = r

-After you found the radius, use the center (5, -4)  and radius 2 to get the equation of a circle:

(x-5)^2+(y+4)^2=2^2

-Then, after you have the equation, the radius needs to simplified by the exponent:

(x-5)^2+(y+4)^2=4

3 0
3 years ago
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