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Stells [14]
2 years ago
10

8x+3-2(6+3x) when x= -6

Mathematics
1 answer:
Tatiana [17]2 years ago
3 0
8x + 3 - 2(6 + 3x)
8(-6) + 3 - 2(6 + 3(-6))
-48 + 3 - 2(6 - 18)
-48 + 3 - 2(-12)
-45 + 24
-21
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A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linea
Luba_88 [7]
To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
where
m is the slope.
(x_{1},y_{1})  are the coordinates of the first point.
(x_{2},y_{2})  are the coordinates of the first point.
Point-slope formula: y-y_{1}=m(x-x_{1})

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{17-14}{2-1}
m=3
Now that we have the slope, we can use the point slope formula:
y-y_{1}=m(x-x_{1})
y-14=3(x-1)
y-14=3x-3
y=3x+11
Remember that in a linear equation of the form y=mx+b, m is the slope and b is the y-intercept. In our model the y-intercept is the membership fee.
Since b=11 in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{16-12}{2-1}
m=4
y-y_{1}=m(x-x_{1})
y-12=4(x-1)
y-12=4x-4
y=4x+8
Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{15-10}{2-1}
m=5
y-y_{1}=m(x-x_{1})
y-10=5(x-1)
y-10=5x-5
y=5x+5
Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{21-12}{2-1}
m=9
y-y_{1}=m(x-x_{1})
y-12=9(x-1)
y-12=9x-9
y=9x+3
Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is <span>Plan D.</span> 


6 0
3 years ago
Read 2 more answers
How many dollars are in Fifty pennies
andrew11 [14]
1/2. 50 pennies equals $0.50
4 0
3 years ago
Read 2 more answers
A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the
tamaranim1 [39]

The correct option is 20.

The score found for the sample is 20.

<h3>What is Standard error?</h3>

A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.

Now, according to the question;

Sample mean; \bar{x}=40

Sample variance; s^{2}=20

Thus, s=\sqrt{20}=4.47

Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

S E=\frac{s}{\sqrt{n}}

We might rearrange the formula as follows:

\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}

Substituting the values;

\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}

The sample's number of scores n = 19.98 = 20 (round up)

Therefore, the scores are in the sample is 20.

To know more about the Standard error, here

brainly.com/question/14467769

#SPJ4

3 0
1 year ago
On a piece of paper graph y &lt; 2x - 3 then determine
andrezito [222]

Answer

3.5

Step-by-step explanation:

y < 2x - 3 = 3.5

2x is greater than y and y is an unknown value you can solve this by using a two step equation

5 0
3 years ago
What is the product?<br><br> (5r − 4)(r2 − 6r + 4)
maxonik [38]

Answer:

1r

Step-by-step explanation:

(5r-4)(2r-6r+4)

1(5r-4)+1(2r-6r+4)

5r-4+2r-6r+4

5r+2r-6=1r

1r-4+4

-4+4=0

1r

7 0
2 years ago
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