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Marysya12 [62]
2 years ago
14

Jenna constructs the model to represent 3x2 11x – 4. An algebra tile configuration. 0 tiles are in the Factor 1 spot. 0 tiles ar

e in the Factor 2 spot. 20 tiles are in the Product spot in 4 columns with 5 rows. First row: 3 x squared, 1 negative x. The last 4 rows are the same: 3 x, 1 negative. What factors does Jenna need to model for the sides? (3x 1) and (x – 4) (3x – 1) and (x 4) (3x – 2) and (x 2) (3x 2) and (x – 2).
Mathematics
1 answer:
bonufazy [111]2 years ago
6 0

Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: (3x-1) and (x-4)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c,

then its factored form is given by (x - \alpha)(x-\beta)

such that

b =\alpha+\beta\\ac = \alpha \times \beta

For the given case, the expression is 3x^2 + 11x - 4

If we take

\alpha = 12\\\beta = -1, then we get 12-1 = 11, and 12 times -1 = -12 = -4 times 3

Thus,

3x^2 + 11x - 4 = 3x^2 + 12x - x - 4 = 3x(x-4) + 1(x-4) = (3x-1)(x-4)\\3x^2 + 11x - 4 = (3x-1)(x-4)

(these factors represent the side length of the region whose area is modeled by the considered expression since area of rectangle is product of its length and width (assuming region was rectangle) ).

Thus, The factors of given expression are: (3x-1) and (x-4)

Learn more about factors of a quadratic expression here:

brainly.com/question/26675692

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3 years ago
What is the volume of the prism below?
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<h2>C ,288</h2>

Step-by-step explanation:

<h3><em>hope this helps</em></h3>

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3 years ago
The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

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5 0
4 years ago
K over 1.5 equals 3 what is k
jeyben [28]

Answer:k=4.5

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7 0
3 years ago
Find the interest due on $600 at 9.5% for 120 days.
KATRIN_1 [288]

Answer:

Interest= $ 18.73

Step-by-step explanation:

Given : $600 at 9.5% for 120 days

To find : Find the interest due

Solution :

Simple interest formula  I=P\times r\times t

Principle(P)=$600 , rate(r)=9.5%=0.095 , time (t)= 120 days

In years, 1 year = 365 days

1 day = \frac{1}{365} year

120 days = \frac{120}{365} year

Put values in the formula

I=P\times r\times t

I=600\times 0.095\times\frac{120}{365}

 I=\frac{6840}{365}=18.73

Therefore, Interest= $ 18.73




5 0
3 years ago
Read 2 more answers
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