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3 years ago

What is the factorization??

Mathematics

1 answer:

azamat3 years ago

7 0

We first find the zeros of the function , by seeing at the graph

the zeros of the function are those points at which the graph wither crosses or touches the x axis

So looking at the graph we can see that the zeros of the function are

x=-5 and x=-1

So the factors should be

(x-(-5)) and (x-(-1))

(x+5) and (x+1)

So the factorization will be given as

(x+5)(x+1)

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Hi can you help? It’s kinda easy I’m just confused

torisob [31]

Answer: $6.7

Step-by-step explanation:

$6.24 - $12.94 = $6.7

8 0

3 years ago

AB = x + 8

vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0

4 years ago

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s

Ilya [14]

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, $\bar x=36800$ σ = 5000

degrees of freedom = n-1 = 12-1 = 11

$H_0: \mu = 33700\ and\ H_a: \mu \neq 33700$

Formula to find the value of z is: $z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

Where $\bar x$ is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

$z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}$

$z=2.148$

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

6 0

4 years ago

PLZ help picture included

cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

$s=\frac{d}{t}$

The distance is equal to multiply the speed by the time

$d=st$

we know that

$18\ min=\frac{18}{60}\ hours$

The distance to his friend's house and the distance of return is the same

$10x=4(x+\frac{18}{60})$

solve for x

$10x=4x+\frac{18}{15}$

subtract 4x both sides

$10x-4x=\frac{18}{15}$

$6x=\frac{18}{15}$

$x=\frac{1}{5}\ hours$

The total distance of the round trip is

$y=10x+4x+\frac{18}{15}$

substitute the value of x

$y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}$

$y=2+2=4\ miles$

6 0

4 years ago

Given: AB with coordinates of AC-3, -1) and B(2, 1)

andrezito [222]

Answer:

up 2, right 3

Step-by-step explanation:

up 2, to the right 3.

8 0

3 years ago