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4 years ago

Todor was trying to factor 10x^2-5x+15 He found that the greatest common factor of these terms was 5 and made an area model:

Mathematics

1 answer:

eimsori [14]4 years ago

4 0

Answer:

<em>Model area of dimensions</em>

$p=5$

$q=2x^2-x+3$

Step-by-step explanation:

<u>Model for the Area</u>

Suposse we have a rectangle of measures p and q, its area is computed by

$A=p.q$

Note the expression is a product which means if an equation is found for the area, we can guess the dimensions of the supossed rectangle.

The expression for the area is

$A=10x^2-5x+15$

This polynomial can be factored as

$A=5(2x^2-x+3)$

We have found an explicit product, now we can guess the dimensions of the rectangle are

$p=5$

$q=2x^2-x+3$

Or viceversa

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SEE ATTACHED FOR QUESTION!!!!!!!!!!! PLS HELP ITS DUE TONIGHT!<br>FIND F(1)

blondinia [14]

Answer:

-6 and -3 for the dots

Step-by-step explanation:

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3 years ago

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

Part A: What is the value of 2x if 4x + 6 = 2x – 12?

xeze [42]

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

$\frac{6(x - 3)}{6}=\frac{24}{6}\\\\$

x - 3 = 4

8 0

3 years ago

Doug is going to ride his bicycle 3{,}0003,0003, comma, 000 miles across the United States, from coast to coast. He wants to cho

Anuta_ua [19.1K]

The chances of success in cycling across the United States is higher on the central route because more than half of the people who started on this route finished it (52%), while on the other routes the chances of successful completion is lower (route north (0%) south (0.02%).

<h3>What is probability? </h3>

Probability is a way of measuring the certainty that an event will occur represented by a numerical value from 0 to 1, where an impossible event corresponds to zero and a certain event corresponds to one.

According to the above, to find the probability of success in crossing the United States from coast to coast, we must divide the number of successful attempts by the total number of attempts as shown below:

North Route

0 ÷ 2 = 0

Center Route

10 ÷ 19 = 0.52

South Route

1 ÷ 39 = 0.025

According to the above, the highest probability of success is found in the central route with 0.52, that is to say that more than half of those who tried this route finished.

Note: This question is incomplete because there is missing information. Here is the complete information:

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research on him:

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana.

There have been 19 attempts on the central route from Vir-ginia to California; 9 of those riders didn't do it and the other 10 made it all the way to the Pacific.

There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1,300 and 1,700 miles.

Learn more about probabilities in: brainly.com/question/8069952

5 0

2 years ago

What is the solution to this system of equations?<br><br> -5.9x-3.7y=-2.1<br> 5.9x+3.7y=2.1

marin [14]

Answer:

There are infinite solutions that solve the system $y=0.57-1.59x$

Step-by-step explanation:

The solution can be expressed as $y=0.57-1.59x$ (there are infinite solutions that solve the system). This results from rearranging terms in the first or second equation.

This is because the first equation is a linear combination of the second one (this is, the first equation equals (-1) times the second equation). This means that the second equation does not add any information about x and y: it says exactly the same as the first equation about the relationship between x and y.

Then, in terms of solving the system, you have one unique expression (not repeated) that shows the relationship between y and x. This means that, any pair of (x,y) that meet the requirements expressed by $y=0.57-1.59x$ , will solve the system. Then we have infinite solutions.

8 0

4 years ago

Read 2 more answers