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tiny-mole [99]
4 years ago
10

PLEASE HELP ME WITH THESE QUESTIONS!!

Mathematics
1 answer:
Varvara68 [4.7K]4 years ago
3 0

Answer:

3. [1, −2]

2. [−3, 3]

1. [−7, 10]

Step-by-step explanation:

3.

{7⁄2x - ½y = 9⁄2

{3x - y = 5

-6⁄7[7⁄2x - ½y = 9⁄2]

{−3x + 3⁄7y = −3 6⁄7 >> New Equation

{3x - y = 5

_________________

-4⁄7y = 1 1⁄7

-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x

__________________________________________________________

2.

{−3x + 9y = 36

{4x + 12y = 24

¾[4x + 12y = 24]

{−3x + 9y = 36

{3x + 9y = 18

______________

18y = 54

___ ___

18 18

y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x

__________________________________________________________

1.

{4x − y = −38

{x + y = 3

_____________

5x = -35

___ ____

5 5

x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y

I am joyous to assist you anytime.

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Ordered pairs that satisfy y=x^2+1
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Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
5 0
3 years ago
Combime like terms to create an equivalent expression -2.5(4x-3)​
Ann [662]

Answer: -10x+7.5

Step-by-step explanation:

First multiply -2.5(4x)= -10x and then -2.5x-3= 7.5 it should be -10x+7.5

3 0
3 years ago
Three vertices of the trapezoid are A(4d,4e), B(4f,4e), and C(4g,0). The fourth vertex lies on the origin. Find the midpoint of
satela [25.4K]
We have that

point C and point D have y = 0-----------> (the bottom of the trapezoid).

point A and point B have y = 4e ---------- > (the top of the trapezoid)

the y component of  midpoint would be halfway between these lines
 y = (4e+ 0)/2 = 2e. 

<span>the x component of the midpoint of the midsegment would be halfway between the midpoint of AB and the midpoint of CD.

x component of midpoint of AB is (4d + 4f)/2.
x component of midpoint of CD is (4g + 0)/2 = 4g/2.
x component of a point between the two we just found is
[(4d + 4f)/2 + 4g/2]/2 = [(4d + 4f + 4g)/2]/2 = (4d + 4f + 4g)/4 = d + f + g. 

</span>therefore

the midpoint of the midsegment is (d + f + g, 2e)
8 0
3 years ago
What is the answer to -9(4x-10)+24
Fantom [35]

Answer:

-36x+114

Step-by-step explanation:

5 0
3 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
3 years ago
Read 2 more answers
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