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n200080 [17]
3 years ago
12

Help in a hurry PLSSSSSSSSS

Mathematics
2 answers:
Viktor [21]3 years ago
7 0
The last one I think
Mila [183]3 years ago
3 0
I don’t think functions can have repeating x values
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Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

Now, multiply every term by 2x(x+9) to clear denominators:  

16(x+9)+22x=3x(x+9)

Simplifying it we get

3x^{2}-11x-144=0

Solve the quadratic equation using formula

x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0
4 years ago
How do you solve this problem<br> (2x+8)2=64
asambeis [7]

Answer:

12

Step-by-step explanation:

If (2x+8)2 = 64, then I would solve it by making sure the numbers in the parentheses equal 32. This is because it would get multiplied by 2 after you find the answer and 32 x 2 is 64. So what times 2 is 24? 12. 12 x 2 is 24, plus 8 is 32, and multiply 32 by 2 and you get 64 :) I'm not the best at explaining btw ;-;

7 0
3 years ago
Read 2 more answers
Ten less then quotient of a number and 3 is 8
Lesechka [4]

Answer:The answer is 6

6 0
3 years ago
Read 2 more answers
What would be the value of 150 after eight years if you earn 12 percent interest per year
Monica [59]
The answer depends on what type of interest. If you are using compound interest, then the interest is different every year, as the amount you earn goes up because the amount you have in the bank goes up. Simple interest is the opposite, as you earn one amount each year, and it does not change.
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371
5 0
3 years ago
Read 2 more answers
The proportion of items in a population that possess a specific attribute is known to be 0.45. a. If a simple random sample of s
yanalaym [24]

Answer: 0.05

Step-by-step explanation:

  • Sampling error is the error occurs by considering sample for study instead of entire population.

Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.

Sample size : n= 100

Sample proportion of items in a population that possess a specific attribute : \hat{p}=0.48

Now, the formula to find the sampling error :

\text{Sampling error} =\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

\text{Sampling error} =\sqrt{\dfrac{0.48(1-0.48)}{100}}

=\sqrt{\dfrac{0.48(0.52)}{100}}\\\\=\sqrt{0.002496}\approx0.05

Hence, the sampling​ error =0.05

4 0
3 years ago
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