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Alexxandr [17]
2 years ago
14

The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot

: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.
Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

x^2+9x+14

To get the factors, we will factorize the given quadratic function as shown:

g(x) = x^2+2x+7x+14

Group the functions to have;

g(x) = (x^2+2x) + (7x+14)\\

Factor out the GCF from both parenthesis:

g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)

Hence the factors of the given model are (x+2) and (x+7)

Learn more on factorization here: brainly.com/question/25829061

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Answer: 2\frac{2}{3}\ hours

Step-by-step explanation:

Given: The total time taken by Evan to mow the 3 lawns = 6\frac{3}{4}=\frac{27}{4}\ \text{hours}

Time taken by Evan to mow the first lawn =2\frac{1}{3}=\frac{7}{3}\ \text{hours}

Time taken by Evan to mow the second lawn =1\frac{3}{4}=\frac{7}{4}\ \text{hours}

Now,Time taken by Evan to mow the third lawn =\frac{27}{4}-\frac{7}{3}-\frac{7}{4}

⇒Time taken by Evan to mow the third lawn =\frac{81-28-21}{12}

⇒Time taken by Evan to mow the third lawn =\frac{32}{12}=\frac{8}{3}=2\frac{2}{3}\ hours

Hence, the time taken by Evan to mow the third lawn = 2\frac{2}{3}\ hours

7 0
3 years ago
Royston plays a video game 7 times. His scores are 60, 65, 66, 74, 69, 72, and 63. Which is the best measure of center of Raysto
balandron [24]

Answer:

The mean will be the best instrument to measure Royston's performance

Step-by-step explanation:

hope this helps

8 0
2 years ago
A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
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Answer:

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Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or  x = \frac{1440}{480}

or  x= 3

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3 0
3 years ago
10<br> 10<br> O A. (3,8)<br> B. (6,5)<br> O c. (5,6)<br> O D. (8,3)
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Answer:

B.(6,5)

Step-by-step explanation:

because (6,5) ang sagot

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