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castortr0y [4]
3 years ago
8

Which inequality is shown in this graph?

Mathematics
2 answers:
Grace [21]3 years ago
7 0
It’s the inequality in letter C
neonofarm [45]3 years ago
5 0

Step 1

Find the equation of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(0,3)\ B(2,-3)

Substitute the values

m=\frac{-3-3}{2-0}

m=\frac{-6}{2}

m=-3

The equation of the line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-3

b=3  ------> see the graph

substitute

y=-3x+3

Step 2

Find the equation of the inequality

we know that

The solution of the inequality is the shaded area below the solid red line

so

the inequality is

y\leq -3x+3

therefore

<u>the answer is the option C</u>

y\leq -3x+3



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EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

5 0
2 years ago
A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters s
DanielleElmas [232]

Answer:

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8 0
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Answer:

the answer is :

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To find the answer to a problem like this, we need to look for patterns in the number!

It looks likes x = 2y

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