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Bas_tet [7]
4 years ago
9

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth

ing to the left of the line is shaded. Which linear inequality is represented by the graph? y < 3x + 2 y > 3x + 2 y < One-thirdx + 2 y > One-thirdx + 2

Mathematics
2 answers:
Rzqust [24]4 years ago
8 0

Answer:

y>3x+2

Step-by-step explanation:

1) Find the slope, between (0,2) and (-3,-7) and then the linear parameter.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}}\Rightarrow m=\frac{2+7}{0+3}\Rightarrow m=3\left \{ 2=0(3)+b \right.\Rightarrow b=2

2)Since it is a dashed line and the question says, everything to the left... then y > 3x+2. Rearranging it:

y=3x+2\Rightarrow y>3x-2

vagabundo [1.1K]4 years ago
6 0

Answer:

B)y > 3x +2

Step-by-step explanation:

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five more than three times the number is one-third more than the sum of the number and itself. 5(3n)=1/3n n 5(3n)=1/3 n 3n 5=(n
sineoko [7]
The answer is 3n+5=(n+n)+1/3

3 0
3 years ago
The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line​?
SSSSS [86.1K]

Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

4 0
4 years ago
Read 2 more answers
Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a yea
Olenka [21]

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

5 0
4 years ago
Jake's water bill is $24.40 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake c
siniylev [52]

Answer:the maximum number of ccf Jake can use if he wants his bill to be no more than $58.00 is $15.3

Step-by-step explanation:

Let x represent the number of ccf of water that Jake uses in a month.

Jake's water bill is $24.40 per month plus $2.20 per ccf (hundred cubic feet) of water. This means that if she uses x ccf of water in a month, her total water bill would be

24.40 + 2.2x

Therefore, the maximum number of ccf Jake can use if he wants his bill to be no more than $58.00 would be

24.40 + 2.2x ≤ 58

2.2x ≤ 58 - 24.4

2.2x ≤ 33.6

x ≤ 33.6/2.2

x ≤ 15.3

4 0
4 years ago
Determine if 20:14 and 80:56 is equivalent
Dimas [21]

Answer:

they are equivalent to 4

Step-by-step explanation:

5 0
3 years ago
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