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1 year ago

14x+28y+21 = ? Factor completely.

Mathematics

2 answers:

rodikova [14]1 year ago

4 0

The answer: 7(2x+4y+3)

Verdich [7]1 year ago

4 0

Answer:

14x+28+21=

14*1+28*1+21

14+28+21

35+28

Step-by-step explanation:

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categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.

soldier1979 [14.2K]

It is exponential growth

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2 years ago

Read 2 more answers

According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i

Kamila [148]

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if $a_{0}$ and $a_{n}$ are non zero then each rational solution x will be:

x= +/- Factors of $a_{0}$ / Factors of $a_{n}$

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

$a_{0}$ = 35

$a_{n}$ = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

3 0

2 years ago

Read 2 more answers

Which data set is least Likely to resemble a normal distribution? Look at picture

kicyunya [14]

Answer: B) The heights of girls who live on a certain street in the city of Buffalo

Every answer choice starts with "the heights of all 14-year-old girls who", so we can ignore that part. Choice A describes the largest population while choice B describes the smallest population. In other words, choice A is very general and broad, while choice B is very specific and narrow. The more specific you get and the smaller the population is, the less likely its going to be normally distributed.

4 0

2 years ago

Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i

kap26 [50]

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34 45 to 54

1329 2268

1906 1965

2426 1149

1826 1591

1239 1682

1514 1851

1937 1367

1454 2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01$

Compute the z-score for the group "25 to 34" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37$

Compute the mean and standard deviation for the group "45 to 54" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39$

Compute the z-score for the group "45 to 54" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25$

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

8 0

2 years ago

Ainsley lives in a town 360 miles directly north of Orlando, and one Saturday, she takes the train from her town to the city. he

iragen [17]

By definition we have to:
d = v * t
where,
d: distance
v: speed
t: time
We have then that the speed is:
(360-210) = v * 2.5
Clearing we have:
v = (360-210) /2.5
v = 60 mph
We now write the generic equation of distance:
d (x) = 60x
Where,
x: time
Answer:
an equation that represents (x), the distance Ainsley is from Orlando after x hours is:
d (x) = 60x

5 0

2 years ago