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IgorLugansk [536]
3 years ago
6

For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

<u>It</u><u> </u><u>has</u><u> </u><u>two</u><u> </u><u>solutions</u>

Step-by-step explanation:

y = 5(x - 4)

substitute for y in second equation:

4x + 12 =  - y \\ 4x + 12 =  -  \{5(x - 4) \} \\ 4x + 12 =  - 5x + 20 \\ 9x = 8 \\ x =  \frac{8}{9}

then for y:

y = 5(x - 4) \\ y = 5( \frac{8}{9}  - 4) \\  \\ y = 5( -  \frac{28}{9} ) \\  \\ y =  -  \frac{140}{9}

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What is an easy way to factor and equation like 2x^2-5x+3, without using the British method?
gladu [14]

Answer:


Step-by-step explanation:

I learned this easy way to complete the sqare in the fastest way possible

First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2(x^2 -5/2x +3/2). then you do one half of b or in this case -5/2. That would make -5/4. you would put this into the factor.

2( x -5/4 +    ) ( x -5/4 -      )

Then you square that number (-5/4)

That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.

2( x -5/4 + 1/4) ( x -5/4 - 1/4)

Then you simplify

(x-1) 2(x-3/2)

(x-1) (2x-3)

now to make sure I am correct, I will re-multiply it out

2x^2 -5x + 3

3 0
3 years ago
Your cost is $250.you increase by 125%.what is the selling price?
Vitek1552 [10]
The answer is $312.50
8 0
3 years ago
What is 33 percent of 400
Eduardwww [97]
<h2>QUESTION</h2>

What is 33% of 400?

<h2>ANSWER AND EXPLANATION</h2>

To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.

<h3>DECIMAL</h3>

To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.

33 \% \rightarrow 0.33

Now that you have your decimal, multiply by 400:

0.33 \times 400 = 132

ANSWER = 132

<h3>FRACTION</h3>

To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.

33 \% \rightarrow \frac{33}{100}

Now that you have your fraction, multiply by 400:

\frac{33}{100} \times 400 = \frac{13200}{100} \rightarrow 132

ANSWER = 132

<em>If you have any questions, feel free to ask in the comments! :)</em>

4 0
4 years ago
Read 2 more answers
t When you reverse the digitals in a certain number you increase its value by 27. Find the number if the sum fixes digits is 9.
TiliK225 [7]
The number=10x+y
we suggest this system of equations:
(10y+x)-(10x+y)=27
x+y=9                                ⇒x=9-y

Can solve this system of equations by susbstitution method.
(10y+(9-y)-(10(9-y)+y)=27
10y+9-y-(90-10y+y)=27
10y-y+10y-y=27-9+90
18y=108
y=108/18
y=6

x=9-y
x=9-6
x=3

The number=10x+y=10(3)+6=36

Answer: the number is 36.

to check:
63-36=27
6+3=9
3 0
4 years ago
Which is the solution to the equation: 1/3 (9x+2)=4+2/3 (6x+4)
Ne4ueva [31]

Answer:

The answer is x= -6 !

Step-by-step explanation:

4 0
3 years ago
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