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harina [27]
3 years ago
13

Factorise this fully x^2+2x-15

Mathematics
1 answer:
natka813 [3]3 years ago
7 0
The answer to the question

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JUST ANSWER PLEASE!!! QUICK
jeka57 [31]

Answer:

<u>Options 1 and 3</u>

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given:  the solution for the following system is (2,9)

Px + Qy = R  ⇒(1)

Tx + Uy = V  ⇒(2)

We will check which system of equation has the same solution.

<u>System A)</u>  Px + Qy = R

                  (P+T)x + (Q+U)y = R+V  ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

<u>System B)</u> Px + Qy = R

                 (P+2T)x + (Q+2U)y = R-2V  ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

 (P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

<u>System C)</u> (T-P)x + (U-Q)y = V-R  ⇒(5)

                  Tx + Uy = V  

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

<u>System D)</u> (T-P)x + (Q+U)y = V-R  ⇒(6)

                  Tx + Uy = V  

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) <u>OR </u>(T-P) and (Q-U)

So, system D has not the same solution of (2,9)

<u>System E)</u> (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

                  Tx + Uy = V  

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

<u>Options 1 and 3</u>

5 0
2 years ago
A 2-gallon container of disinfectant costs $24.32. What is the price per cup?​
max2010maxim [7]
.76 cents per cup.

Their are 16 cups in a gallon.
2 gallons would be 32cups.
Divide 24.32 by 32.

0.76 is your answer
4 0
2 years ago
Read 2 more answers
What is 4/5 of 2? write answer in decimal form.?
mylen [45]

The decimal form of 4/5 is .8, which can also be written as 0.8 or 0.80.Fractions can be converted into decimals using a calculator or by doing the math manually

5 0
2 years ago
Sami ordered 132 dresses for her store . What is 132 rounded to the nearest ten?
Yuki888 [10]
130 because 2 is less than 5
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3 years ago
Rename the number 600,000 in ten thousands
telo118 [61]
I think it is 60,000
4 0
3 years ago
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