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BARSIC [14]
2 years ago
5

Factor completely 4xy − 7x 20y − 35. (x 5)(4y − 7) (x − 5)(4y 7) (x − 5)(4y − 7) (x 5)(4y 7).

Mathematics
2 answers:
myrzilka [38]2 years ago
8 0

Answer:

A. Got it right on my test

Step-by-step explanation:

yuradex [85]2 years ago
5 0

Answer:

A)

Step-by-step explanation:

Given expression:

To factor the given expression completely.

Solution:

In order to factor the expression, we will factor in pairs.

We will factor the G.C.F of the terms in the pairs.

G.C.F. of  and  can be given as:

Thus, G.C.F. =

G.C.F. of  and  can be given as:

Thus, G.C.F. =

The expression after factoring the G.C.F. pairs is given as:

Taking G.C.F. of the whole expression as  is a common term.

The expression is completely factored.

Step-by-step explanation:

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What is the difference between a population distribution and a sampling distribution
Fittoniya [83]

The difference between a population distribution and sampling a distribution

Definition: The Population Distribution is a form of probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.

Defintion: The Sampling Distribution is a form of probability of a random sample out of a group of frequency which is made up of the sample of which the population has been picked out of, making it a partial research study

8 0
2 years ago
Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries
ElenaW [278]

Answer:

(b) The number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, 3\frac{3}{8}  = 3+\frac{3}{8} = 3 + 0.375 = 3.375

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, 2\frac{7}{8}  = 2+\frac{7}{8} = 2 + 0.875 = 2.875

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second)  basket

                                      = 3.375 pounds +  2.875 pounds  

                                    = 6.25 pounds

So, the number of pounds each person would have = \frac{\textrm{Total weight of viable berries}}{\textrm{4}}  = \frac{6.25}{4} = 1.5625

Now, 1.5625 = 1 + 0.5625  = 1 + \frac{5625}{10000}  = 1 + \frac{5}{8}  = 1\frac{5}{8}

So, the number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

7 0
3 years ago
Simplify the following question
fiasKO [112]

Answer:

<em>−  2sin(b) / cos(2b)</em>

​

Step-by-step explanation:

DIFFERENTIATE W.R.T. B is a different method entirely

We simply add together the numerators and set with 2cos

then keep this number and add to sinb and square it.

then repeat initial 2 + cosb ^2 but instead of multiplying its add.

Then set the whole division to -sin (2b) squared then +1

<em> −  2cos(b)(3(sin(b))^2+(cos(b))^2)  /  −(sin(2b)) ^2 +1  </em>

​

 

5 0
2 years ago
A 5.1-ft-tall person walks away from a 12-ft lamppost at a constant rate of 3.9 ft/sec. What is the rate that the tip of the per
nekit [7.7K]

Answer:

6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb

12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

6.9y=12x

y=( 12/6.9)x

Differentiating implicitly the bother sides with respect to t, we have

Dy/dt= ( 12/6.9)dx/dt

But dx/dt= 3.9 ft/sec

Then Dy/dt= ( 12/6.9)× 3.9

Dy/dt=6.78ft/sec

Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec

CHECK THE ATTACHMENT FOR THE FIQURE

6 0
2 years ago
What is the equation of a line, in point-slope form, that passes through (-8, 1)and has a slope of ?
Serggg [28]

Answer:

y-1 = 5(x+8)

Step-by-step explanation:

The standard equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Given

Slope m = 5 (assumed value)

Point (-8,1)

Substitute the given data's into the formula

y -1 = 5(x-(-8))

y-1 = 5(x+8)

Hence the required equation is y-1 = 5(x+8)

8 0
2 years ago
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