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larisa86 [58]
1 year ago
7

a system of equations is graphed here. which system of equations does the graph represent? A) y = 3x + 2y = -2x + 5 B) y = 3x -

2 y = 2x + 5 C) y = -3x + 2 y = 2x - 5 D) y = -3x - 2 y = -2x - 5

Mathematics
1 answer:
n200080 [17]1 year ago
6 0

Notice that the line with negative slope has a y-intercept of 5 and the line with positive slope has a y-intercept of 2.

On the other hand, the slope of the line with negative slope is -2, while the slope of the line with positive slope is 3 (This can be identified since in one case, the value of y decreases by 2 for each increase of 1 unit in x, and in the other, the value of y increases by 3 for each increase of 1 unit in x).

Using the y-intercept form to represent each line, the system of equations represented by the graph must be equivalent to:

\begin{gathered} y=-2x+5 \\ y=3x+2 \end{gathered}

From the given options, the one that displays the correct system of equations is option A.

Therefore, the answer is:

\begin{gathered} A) \\ y=3x+2 \\ y=-2x+5 \end{gathered}

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A bank account yields 7 percent interest, compounded annually. If you deposit $1,000 in the account, what will the account balan
lianna [129]
Hi there
The formula is
A=p (1+r)^t
A future value?
P present value 1000
R interest rate 0.07
T time 5 years
So
A=1,000×(1+0.07)^(5)
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7 0
3 years ago
Mr. Hughes gave 5/14
kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

\frac{5}{14} + \frac{2}{3}(\frac{9}{14})

As \frac{9}{14} is the remained that his son did not get. So

\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}

Fraction his wife got:

1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}

If his wife got $900, what were his savings?

Total savings are x, wife got \frac{9}{42} of x. So

\frac{9x}{42} = 900

9x = 900*42

x = \frac{900*42}{9}

x = 100*42

x = 4200

His savings were of $4,200.

5 0
2 years ago
Simplify this expression, you are y years old. Your sister is 3 years older than you. Your uncle is 4 times older than your sist
uysha [10]

Answer:The simplified expression that represents the uncle's age is

4y + 12

Step-by-step explanation:

Let y represent your age.

Your sister is 3 years older than you. This means that your sister's age is y + 3

Your uncle is 4 times older than your sister. It means that the age of your uncle would be

4(y + 3)

The simplified expression that represents your uncle's age would be

4y + 12

8 0
3 years ago
PLEASE HELP ASAP!! <br> Please its due in 5 min!
-Dominant- [34]
Answer:

first question) m = - 63
second question) y = 4

sorry if this is late, hope this helped!
5 0
2 years ago
HELP PLSSS How much money will be in the account after 6 years ?
ella [17]
Try using the simple interest formula, I=p+r or use rate of change. 
3 0
2 years ago
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