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devlian [24]
3 years ago
13

What is (14x^2– 27x+9) / (7x-3)? A. 7x-3 B. 2x-3 C. -211x+9 D. 2x-33

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

B. 2x - 3

Step-by-step explanation:

\rm \frac{ {14x}^{2}  - 27x + 9}{7x - 3}

\rm  =  \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}}

\boxed{ \rm   \bold{= 2x - 3}}

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X + y = -5 determine x-intercept and y-intercept
Fofino [41]

Very easy question.

To find x intercept: Multiply y by 0. You get x=-5.

To find y intercept: Multiply x by 0. You get y=-5.

4 0
3 years ago
A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x &
Karolina [17]

Any proper CDF F(x) has the properties

• \displaystyle \lim_{x\to-\infty} F(x) = 0

• \displaystyle \lim_{x\to+\infty} F(x) = 1

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1

and so

\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0

\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1

8 0
2 years ago
The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute devia
DochEvi [55]

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

<h3>What is mean absolute deviation?</h3>

Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.

For this case, the table of mean and mean absolute deviation is given as:

\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}

(M.A.D refers to Mean Absolute Deviation).

So, difference in their mean is 82 - 78 = 4

Absolute deviation  for Sidney is 3.28

Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Learn more about ratio here:

brainly.com/question/12106245

4 0
2 years ago
Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.
leva [86]
Let x= number of board games 
<span>20x=10410+2.65x </span>
<span>-2.65 -2.65 </span>
<span>17.35x=10410 </span>
<span>/17.35 /17.35 </span>
<span>x=600 </span>
<span>You would need to sell at least 600 board games to break even</span>
3 0
3 years ago
A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?
Iteru [2.4K]

Answer:

Step-by-step explanation:

138/8 = 17.25

7 0
2 years ago
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