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Alexus [3.1K]
3 years ago
6

The sum of 2 times a number and 5 times its reciprocal is 23/3. find the number(s).

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0
Assume X is the number.
2X + 5 1/x = 23/3
3(2X² + 5) = 23X
6X² - 23X + 15 = 0

X = 3

Hope that helps you.
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Write an equation for the line that is parallel to the given line and that passes through the given point.
Rasek [7]
Parallel to y = 3/4x - 9 and passes through (-8, -18)

Identify the slope : our slope is 3/4

Remember that parallel equations have the same slope, so both slopes are 3/4

Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.

y = mx + b

(-18) = (3/4)(-8) + b

Simplify.

-18 = -6 + b

Add 6 to both sides.

-18 + 6 = b

Therefore, our y-intercept is -12.

Now plug everything into the slope intercept form.

y = mx + b

y = 3/4x - 12

~Hope I helped!~
4 0
3 years ago
Which net will fold into a rectangular prism?
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3 years ago
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A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty
Setler [38]

Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: \hat{p}=0.84

Significance level : \alpha= 1-0.98=0.02

Critical z-value : z_{\alpha/2}=2.33  (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}

i.e. \approx0.84\pm 0.085

i.e. (0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

3 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
BARSIC [14]

It be 81.

You have to take half of -18 which is -9, and square that, which is 81.

8 0
3 years ago
You start driving north for 21 miles, turn right, and drive east for another 20 miles.
Wewaii [24]

Answer:

40

Step-by-step explanation:

add 21 + 20

hope this helps :)

8 0
4 years ago
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