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Nataliya [291]
3 years ago
8

Select the inequality that corresponds to the figure:

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

C. 2x-y>-7

Step-by-step explanation:

The Line is not part of the region since is drawn in the graph using a dotted line, but we still need to find its equation.

The equation of a line is y=mx+b, where 'm' is the slope.

'm' can be obtained using the following formula.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

To find the slope, as well 'b' we need points from the line, those will be (-6,-5), (0,7) as (x2,y2) and (x1,y1) respectively

Evaluating those point in the formula we have 'm' =2

Using now the above result and the point (0,7) in the equation y=mx+b, we obtain the value for 'b'.

7=2*0+b7

b=7

Hence our line is y=2x+7, and if we write it in standard form we obtain the following> y-2x=7.

Now, since our line is not part of the region, and the region is below that line, there is the < sign.

Hence the inequality that corresponds to the figure is y-2x<7 or, if we multiply by -1 (changin orientation of signs)   2x-y>-7

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Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quart
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a directed line segment AB on he coordinate plane starts from A (3, 0) and ends at B (12, -9). Find the y coordinate of point C
Anastaziya [24]

Answer:

The answer to your question is: y = -54 / 11

Step-by-step explanation:

Data

A (3, 0)

B (12, -9)

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Formula

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5 0
3 years ago
Read 2 more answers
Please help will give brainliest.
timama [110]

Answer:

13 petunias

Step-by-step explanation:

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8 0
3 years ago
You have an SRS of size 8 and calculate the one-sample t statistic. What is the critical value t∗ such that (a) t has probabilit
Rudik [331]

Answer:

a) "=T.INV(1-0.02,7)"

And we got t_{crit}= 2.518

b) "=T.INV(0.85,7)"

And we got t_{crit}= 1.119

Step-by-step explanation:

For this case we have a sample size of n=8, so we can find the degrees of freedom like this:

df = n-1 = 8-1 =7

Part a

For this case we need a value who accumulates 0.02 of the area in the right of the t distribution with 7 degrees of freedom so we can use the following excel code:

"=T.INV(1-0.02,7)"

And we got t_{crit}= 2.518

Part b

For this case we need a value who accumulates 0.85 of the area in the left of the t distribution with 7 degrees of freedom so we can use the following excel code:

"=T.INV(0.85,7)"

And we got t_{crit}= 1.119

7 0
3 years ago
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