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Alexxandr [17]
3 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]3 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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Are the ratios 7:9 and 3:6 equivalent?
Cloud [144]

Answer: No

Step-by-step explanation:

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3 years ago
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A single​ 6-sided die is rolled twice. The set of 36 equally likely outcomes is​ {(1,1), (1,2),​ (1,3), (1,4), left parenthesis
Dennis_Churaev [7]

Answer:

The probability of getting two numbers whose sum is greater than 9 and less than 13 is \frac{1}{6}

Step-by-step explanation:

Given : A single​ 6-sided die is rolled twice.

To find : The probability of getting two numbers whose sum is greater than 9 and less than 13 ?

Solution :

The set of 36 equally likely outcomes,

          1              2              3              4               5             6

1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

Getting two numbers whose sum is greater than 9 and less than 13

The favorable outcome is (4,6),(5,5),(5,6),(6, 4),(6, 5),(6, 6) = 6

The probability is given by,

\text{Probability}=\frac{\text{Favorable Outcome}}{\text{Total Outcome}}

\text{Probability}=\frac{6}{36}

\text{Probability}=\frac{1}{6}

Therefore, The probability of getting two numbers whose sum is greater than 9 and less than 13 is \frac{1}{6}

5 0
4 years ago
Write the slope-intercept form of the equation that fits the conditions.
LenaWriter [7]

Answer:

<em>y = 3x - 17</em>

Step-by-step explanation:

Here is the point-slope form of the equation of a line.

y - y_1 = m(x - x_1)

If you are given a slope, m, and a point on the line, (x1, y1), you just plug in the values into the equation above, and you get the equation of the line.

In your problem, you are given a point on the line, (5, -2). Now you need the slope of the line. Your line is perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals. If you know the slope of a line, the slope of its perpendicular is found by flipping the fraction and changing the sign.

The given line has slope -1/3.

Flip -1/3 to get -3.

Now change the sign to get 3.

The slope of the line you need is 3. The line passes through point (5, -2).

Now we use the point-slope equation and we plug in the values we have.

y - y_1 = m(x - x_1)

y - (-2) = 3(x - 5)

y + 2 = 3x - 15

y = 3x - 17


8 0
3 years ago
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
kvasek [131]

Answer:

easy, if the intercepts or roots or zeros of the equation are r₁ and r₂ then 2 factors of the equatain are (x-r₁) and (x-r₂)

so

we see it intercepts the x axis at 1 and 6

r₁=1

r₂=6

therefore 2 roots are (x-1) and (x-6)

answer is 2nd option

Step-by-step explanation:

if

3 0
3 years ago
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