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jasenka [17]
3 years ago
11

Solve the following system of equations by graphing. y = -1/2x-1 y = 1/4x -4

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

x=4,y=−3

Step-by-step explanation:

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Find the difference when the polynomial -5x^2+3x+8 is subtracted from the polynomial 2x^2+4x+1.
geniusboy [140]

The difference is 7x^{2}  + 1x-7.

Step-by-step explanation:

Step 1:

The polynomial -5x^{2}+3x+8 is subtracted from the polynomial 2x^{2} + 4x +1.

If we write this as an equation, we get

(2x^{2} + 4x +1) -(-5x^{2}+3x+8).

To subtract the polynomials, we group up the terms based on their variables.

In this subtraction, there are two variables i.e. x^{2} and x and there is one constant term.

Step 2:

The subtraction of the x^{2} variables; 2x^{2}  -(-5x^{2} )  = 2x^{2} +5x^{2} = 7x^{2}.

The subtraction of the x variables; 4x - (3x) = 1x.

The subtraction of the constants; 1-(8) = -7.

So (2x^{2} + 4x +1) -(-5x^{2}+3x+8) = 7x^{2}  + 1x-7.

4 0
3 years ago
Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61
Irina-Kira [14]

$ 2772 is paid in state income tax

<em><u>Solution:</u></em>

Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income

Federal taxable income = $61,600

<em><u>To find: Amount paid by Tina in state income tax</u></em>

Tax rate = 4.5 %

<em><u>Which means, 4.5 % of $61,600 is paid as tax</u></em>

Tax\ Rate = 4.5 \% \text{ of } 61600

Here, "of" means multiplication or product

Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772

Thus $ 2772 is paid in state income tax

7 0
3 years ago
Ryan is selling his collection of Nike Air Jordans. He paid a total of $1720 for the 12 sneakers when they were new. When he goe
timofeeve [1]

Answer:

$1035

Step-by-step explanation:

50% of 1720 = 860

the fixed amount for the sneakers is $175

175+860=$1035

7 0
3 years ago
What is the area?<br><br> 10<br> 20<br> 24<br> 48
Tatiana [17]
Your length is 2 to 8.

Your width is 3 to 7. 

Length is 6
Width is 4.

6*4=24.

The rectangle's area is 24
7 0
3 years ago
What is the area of a rectangular park that is 5/8 mile long and 2/5 mile wide
katen-ka-za [31]
1/4 mile or 0.25 miles

4 0
3 years ago
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