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olga_2 [115]
3 years ago
12

What is the least value of x which the inequality is true? 16 is greater than or equal to -2x

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:Then the system of inequalities that represents the graph is second option:

2x +y is less than or equal to 3, and y-x is greater than or equal to 2

Step-by-step explanation: The area shaded is below the blue line and above the red line.

1.) The blue line goes through the points:

P1=(0,3)=(x1,y1)→x1=0, y1=3

P2=(1,1)=(x2,y2)→x2=1, y2=1

Slope: m=(y2-y1)/(x2-x1)

m=(1-3)/(1-0)→m=(-2)/(1)→m=-2

Point-slope form:

y-y1=m(x-x1)

y-3=-2(x-0)→y-3=-2(x)→y-3=-2x→y-3+3=-2x+3→y=-2x+3

The area below the blue line is:

y<=-2x+3→y+2x<=-2x+3→2x+y<=3

2x +y is less than or equal to 3

2.) The red line goes through the points:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(-2,0)=(x2,y2)→x2=-2, y2=0

Slope: m=(y2-y1)/(x2-x1)

m=(0-2)/(-2-0)→m=(-2)/(-2)→m=1

Point-slope form:

y-y1=m(x-x1)

y-2=1(x-0)→y-2=1(x)→y-2=x→y-2+2=x+2→y=x+2

The area above the red line is:

y>=x+2→y-x>=x+2-x→y-x>=2

y-x is greater than or equal to 2

Then the system of inequalities that represents the graph is:

2x +y is less than or equal to 3, and y-x is greater than or equal to 2

Read more on Brainly.com - brainly.com/question/11890005#readmore

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DedPeter [7]

Answer:

For every 15 students scoring in the 60's there were 9 students scoring in the 70's.

Step-by-step explanation:

Your first step would be to rewrite the numbers into an easier to understand form like fractions, 45/3 and 27/3. Then you divide both numbers by 3, so you get comparable numbers. 45/3= 15, 27/3=9.

5 0
3 years ago
If you were to graph 1.14, 1.15, and 0.5. what would you count by on your number line?
GREYUIT [131]

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6 0
3 years ago
Find the general solution of y\"+9y=t^2*e^3t+6.
Fofino [41]
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3 0
3 years ago
If a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month, what
OLEGan [10]

Answer:

$97.15.

Step-by-step explanation:

We have been given that a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month. The interest rate of credit card is 3.35% monthly.

We will use interest formula to solve our given problem.

I=PrT, where,

I=\text{Interest},

P=\text{Principal amount},

r=\text{Interest rate in decimal form},

T=\text{Time}  

Let us convert our given interest rate in decimal form.

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Upon substituting our given values in interest formula we will get,

I=2,900*0.0335*1

I=2,900*0.0335

I=97.15

Therefore, the monthly interest charge at the end of the 1st month will be $97.15.

7 0
3 years ago
1. Which ratios form a proportion? a. 4/9, 12 / 25 b. 3 / 7, 18 / 42 c. 5/11, 20/45 d. 5/8, 15/25. 2. Which ratio forms a propor
harkovskaia [24]
I am pretty sure that the right answer for the first question which is being asked is the second option - <span><span>b. 3 / 7, 18 / 42
</span>What about the next one, I bet it's </span> d. 60 / 100. 3
And the last one is  a. 5/8=15/24 
4 0
3 years ago
Read 2 more answers
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