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Vaselesa [24]
3 years ago
7

Solve for x and y .

Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

x = 4 and y = 2

Step-by-step explanation:

Assuming the figure is a Parallelogram then

Opposite sides are parallel and equal, hence

17x - 64 = x ( subtract x from both sides )

16x - 64 = 0 ( add 64 to both sides )

16x = 64 ( divide both sides by 16 )

x = 4

Also 9y = 2y + 14 ( subtract 2y from both sides )

7y = 14 ( divide both sides by 7 )

y = 2



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Jenny owns a salon. She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter,
Ira Lisetskai [31]

There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

<h3>Customer retention rate</h3>

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100

Substitute all the values in the formula;

\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100\\\\\rm Customer \ retention \ rate=\dfrac{150-5}{151}\times 100\\\\ Customer \ retention \ rate=\dfrac{145}{151}\times 100\\\\ Customer \ retention \ rate=0.96 \times 100\\\\ Customer \ retention \ rate=96

Hence, there is a 96% customer retention rate for the third quarter.

To know more about customer retention rate click the link given below.

brainly.com/question/25668470

7 0
2 years ago
What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?
elena-s [515]

Answer:

The multiple zero is x=-5.

The multiplicity is 2

Step-by-step explanation:

The given function is

f(x)=x^3+10x^2+25x

To find the zero of this function, we equate it to zero.

\Rightarrow x^3+10x^2+25x=0

We factor to obtain;

x(x^2+10x+25)=0

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

x(x+5)^2=0

This implies that;

Either x=0 or (x+5)^2=0

(x+5)^2=0 has a multiple zero which is

x=-5 and its multplicity is 2.

3 0
3 years ago
The same as the other math problem ​
sveta [45]

Answer:

12. Y=8 is the answer I have the explain

13. X=-1 is the answer I have the explain

Step-by-step explanation: hope this help

8 0
2 years ago
64 divided by 3.2, math teacher says its not 0.1 and everyone on here says it is?
andreev551 [17]
20 is the answer for this
7 0
2 years ago
Read 2 more answers
The dimensions of a carriage are:
jasenka [17]

Answer:

Step-by-step explanation:

length * width * height = 1050 cubic ft

(10x + 5)* (2x -1) * (x +3) = 1050

(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)

                       = 10x*2x - 10x*1 + 5*2x  - 1*5

                       = 20x² - 10x + 10x - 5 = 20x²  - 5

(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)

                               =20x²*(x +3) - 5*(x +3)

                               = 20x³ + 60x² - 5x - 15

20x³ + 60x² - 5x - 15 = 1050

20x³ + 60x² - 5x - 15 - 1050 = 0

20x³ + 60x² - 5x - 1065 = 0

By trial and error method , (x  -3 ) is a factor

Synthetic method:

3     ( 20    60       -5           -1065

      (          60        360        1065

         20   120        355           0

20x² + 120x + 355 = 0

Divide the equation by 5

4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.

So, value of x = 3

height = 3+ 3 = 6 ft

Length = 10*3 + 5 = 30 + 5 = 35ft

Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft

Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft

5 0
3 years ago
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