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3 years ago

25(x+5\4)^2-16(x7\4)^2 factorize the expression

Mathematics

1 answer:

elena-s [515]3 years ago

4 0

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).

− (12x + 25/4) (2x + −25/4)

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Serhud [2]

Answer:

1. y=-1/3x 2. y=2

Step-by-step explanation:

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3 years ago

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Solve for g in the proportion.<br><br> 42/g = 14/10<br><br> g =

NeX [460]

Cross mutiply. 42*10= 420. 14*g= 14g

14g= 420

divide by 14 for both sides

14g/14= 420/14

g= 30

Check answer by using substitution method

42/30. Divide by 3 . 42/3= 14 , 30/3= 10

14/10 and 14/10 equal to each other by dividing 2.

14/2= 7 , 10/2= 5

7/5= 7/5

Answer: g= 30

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2 years ago

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Segment RSRS is parallel to segment VTVT, and segment RVRV is parallel to segment STST. Which statement about the measure of ∠S∠

hram777 [196]

The options are:
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3 years ago

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Select the correct answer.<br> Choose the system of inequalities that best matches the graph below.

ANTONII [103]

Considering the linear functions on the graph, the inequality that matches the situation is:

$y \geq \frac{1}{2}x + 2$

$y \leq 2x + 1$

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The lower bound of the interval is a linear function with y-intercept of b = 2, that also passes through (2,3), hence the slope is:

m = (3 - 2)/(2 - 0) = 1/2.

Hence the inequality is:

$y \geq \frac{1}{2}x + 2$

The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:

m = (5 - 1)/(2 - 0) = 2.

Hence the inequality is:

$y \leq 2x + 1$

More can be learned about linear functions at brainly.com/question/24808124

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3 0

2 years ago

Assume that the heights of men are normally distributed with a mean of 70.270.2 inches and a standard deviation of 2.12.1 inches

Wittaler [7]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(70.2,2.12)$

Where $\mu=70.2$ and $\sigma=2.12$

Since the disgtribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability of interest we got:

$P(\bar X >71.2)=P(Z>\frac{71.2-70.2}{\frac{2.12}{\sqrt{36}}}=2.83)$

And using the complement rule and a calculator, excel or the normal standard table we got this:

$P(Z>2.83)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(70.2,2.12)$

Where $\mu=70.2$ and $\sigma=2.12$

Since the disgtribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability of interest we got:

$P(\bar X >71.2)=P(Z>\frac{71.2-70.2}{\frac{2.12}{\sqrt{36}}}=2.83)$

And using the complement rule and a calculator, excel or the normal standard table we got this:

$P(Z>2.83)=1-P(Z$

5 0

2 years ago

25(x+5\4)^2-16(x7\4)^2 factorize the expression​

25(x+5\4)^2-16(x7\4)^2 factorize the expression