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n200080 [17]
3 years ago
10

What is the value of x in the solution of the system of equations 3x + 2y = 12 and 5x – 2y = 42

Mathematics
1 answer:
uysha [10]3 years ago
8 0

Answer:

x = 27/4

Step-by-step explanation:

3x + 2y = 12 and 5x – 2y = 42

Add the two equations together to eliminate y

3x + 2y = 12

5x – 2y = 42

-----------------------

8x            = 54

Divide each side by 8

8x /8 = 54/8

x = 27/4

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Short cut method to mulitply 12 by 50
liberstina [14]

Answer:

12 * 50 = 600

Step-by-step explanation:

We have to multiply 12 by 50

<u>Short cut method for multiplying a number by 50</u>

Step 1: Take the half of the given number

Step 2: Multiply the result by 100

<u>To find the short cut method to multiply 12 by 50</u>

Here the number is 12

Step 1: divide the number by 2

12/2 = 6

Step 2: Multiply 6 by 100 we get 600

Therefore 12 * 50 = 600

4 0
3 years ago
Read 2 more answers
What is the ratio from 18 to 16
Irina18 [472]

Answer: 8:9

Step-by-step explanation: Two find this answer, you need to see what will be the greatest number they can divide by (greatest common divider), it needs to be the same number for both 18 and 16. What number can go into both numbers, and is the greatest number? The answer is two, now you divide 2 by 18 and 16, so you'll get 8:9.

Hope this helps have a BLESSED and wonderful day! :-)

-Cutiepatutie

4 0
3 years ago
To what expression must 5a square-4a+3 be added to make the sum zero??​
pychu [463]

Answer:

Step-by-step explanation:

Additive inverse of (5a² - 4a + 3) should be added to make them zero

(5a² - 4a + 3) + (-5a² + 4a - 3)=   <u>5a² - 5a² </u>  <u>- 4a + 4a</u>    <u>+ 3  - 3</u>

                                              = 0

4 0
2 years ago
What are the x-intercepts of y=x^2+2x-15
Sedbober [7]

Answer:

(-5,0) and (3,0)

Step-by-step explanation:

Think about it.

What two numbers multiply to -15 and add up to 2?

The answers are 5 and -3.

So plug that into the factored form of a parabola.

y=(x+5)(x-3)

To find the x-intercepts, plug in 0 for y.

(x+5)(x-3)=0

Since we are multiplying, at least one of the terms has to equal 0.

x+5=0 \\ x-3=0 \\ \\ x=-5,3

So the x-intercepts are (-5,0) and (3,0).

8 0
3 years ago
The question is:
saul85 [17]
f(x) = \sqrt{x+1} \\ y = \sqrt{x+1} \ or \ y^2 = x+1 \ or \ x = y^2 - 1 \\ Therefore, \ f^{-1}(x)=x^2 - 1

(fof^{-1})(a) = f(f^{-1}(a))=f(a^2-1) \\ =\sqrt{a^2-1+1}=\sqrt{a^2}=a \\  \\ (f^{-1}of)(a)=f^{-1}(f(a))=f^{-1}(\sqrt{a+1})= \\ (\sqrt{a+1})^2-1 = a+1-1 = a

Therefore, (fof^{-1})(a) = (f^{-1}of)(a) = a

8 0
2 years ago
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