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erica [24]
3 years ago
9

Solve for x in the following equation: 2x+3=9

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0

Answer:

x= 3

Step-by-step explanation:

2x+3=9

2x = 6

x=6/2

x=3

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Find the absolute maximum value for the function f(x) = x^2 − 4, on the interval [–3, 0) U (0, 2].
Andreyy89

Answer:

5

Step-by-step explanation:

The function y=x^2 -4 is

  • decreasing for all x\in [-3,0);
  • is increasing for all x\in (0,2]

(see attached diagram for details).

The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

y(-3)=(-3)^2-4=9-4=5\\ \\y(2)=4^2-4=0

So, the maximum value is 5.

5 0
3 years ago
The union for a particular industry has determined that the standard deviation of the daily wages of its workers is $20. A rando
Sergeeva-Olga [200]

Answer:

The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645\frac{20}{\sqrt{90}} = 3.4

The lower end of the interval is the sample mean subtracted by M. So it is 122 - 3.4 = $118.6

The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4

The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.

4 0
3 years ago
Matt and Ming are selling fruit for a school fundraiser. Customers can buy boxes of oranges and boxes of apples. Matt sold 3 box
ANEK [815]

Answer:

The Answer is that one box of Oranges costs $7.13 and one box of Apples costs $12.99.

Step-by-step explanation:

Let o = oranges and a = apples

Equation 1:

3o + 14a = 203

Solve for o:

3o = 203 - 14a

o = 203/3 - 14/3a

o = 67.66 - 4.66a

Equation 2:

11o + 11a = 220

Substitute:

11(67.66 - 4.66a) + 11a = 220

744.26 - 51.26a + 11a = 220

-40.26a = 220 - 744.26

-40.36a = -524.26

a = -524.26/-40.36 = $12.99 for a box of Apples

Solve for oranges, o:

o = 67.66 - 4.66a

o = 67.66 - 4.66(12.99)

o = 67.66 - 60.53 = $7.13 for a box of Oranges

Hope this helps!! Have an Awesome day!!! :-)

7 0
4 years ago
A. Graph D B. Graph C C. Graph B D. Graph A
Neporo4naja [7]

Answer:

The correct option is C

Step-by-step explanation:

The given equation is:

y  ≥ 2x - 3

For x= 2

y = 2(2) - 3 = 1

For x=0

y = 2(0) - 3 = -3

WE have two point:

(2,1) and (0,-3)

Graph both points on the coordinate plane.

Join both points and extend the line to find the graph of the line y = 2x - 3

To find the area the represents y  ≥ 2x - 3, consider any point, suppose (0,0)

Substitute (0,0) into  y  ≥ 2x - 3

0 ≥ 2(0) - 3

0 ≥ -3

Hence the equation satisfies.

Which means the area which has the point (0 , 0) shows the region for the equation y  ≥ 2x - 3.

The graph is shown.

5 0
3 years ago
Dusty earnings vary directly with the number of papers he deliver
Stells [14]
Thete is no question here, when the number of papers he delivers goes up his earnings also go up
7 0
3 years ago
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