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OLEGan [10]
3 years ago
13

Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet

wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? (5 points)
Mathematics
2 answers:
fomenos3 years ago
5 0

Answer:

4x² + 22x − 1 = 0

Valentin [98]3 years ago
4 0

Answer:

4x² + 22x − 1 = 0

Step-by-step explanation:

Start off with the standard formula to finding area with polynomials and quadratic functions.

(2x + 5)(2x + 6)

Work out like a normal binomial.

4 + 22x + 30 - 31

(You're subtracting 31 to take out the minimum of what the frame has to be)

4 + 22x - 1 = 0

You might be interested in
Calculate the annual return percentage
const2013 [10]
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%

7 0
3 years ago
Which of the following correctly shows the re-grouping for 45 x 12? Group of answer choices 40 x 10; 5 x 10; 40 x 2; 5 x 40
Damm [24]

Answer:

40x10;5x10;40x2;5x2

400+50+80+10

=540

5 0
3 years ago
Pretty pls help me :3
lapo4ka [179]

Answer:

You can do 60 ÷ 6 = 10 groups.

Step-by-step explanation:

There are many ways to answer this and it's very simple.

6 and 10 is just one of the many factors of 60.

you can also do 60 ÷ 2 = 30 groups

3 0
3 years ago
Based on the Empirical Rule, what percent of the data would fall AFTER the first standard deviation GREATER than the mean?
Tcecarenko [31]
13.5% i thinkkkkkkkkkk
4 0
3 years ago
PLEASE HELP ME
balandron [24]

9514 1404 393

Answer:

  • (3y)(2x^2 -1x -8xy +4y)
  • (3y)(x -4y)(2x -1)

Step-by-step explanation:

<u>Part A</u>: All of the coefficients have a common factor of 3. All of the variable products have a common factor of y, so the greatest common factor of all terms is 3y. The expression can be written as ...

  (3y)(2x^2 -1x -8xy +4y)

__

<u>Part B</u>: The remaining factor can be factored pairwise:

  3y(x(2x -1) -4y(2x -1)) = 3y(x -4y)(2x -1)

6 0
3 years ago
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