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denis23 [38]
3 years ago
14

Solve the quadratic equation by completing the square. =+x^2+16x +61=0

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3

x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions

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A survey was done that asked people to indicate whether they run or ride a bike for exercise. Based on the table, what is the pe
Pavel [41]
The table in correct format is attached below.

Total number of runners = n = 724 + 103  = 827
Number of Runners who do not bike = x = 103

Percentage of runners who do not bike = \frac{x}{n} x 100%

= \frac{103}{827} x 100%

= 12.5%

Thus, 12.5% of Runners do not ride bike for exercise 

8 0
3 years ago
Maria is tracking the number of miles she runs in one week. She is using the track at her age hook which measures in meters.
attashe74 [19]

Using proportions, it is found that she runs 3.106855 miles in one week.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, it is found that the measurement is in meters, and we want to find the number of miles. She runs 5,000 meters. Each meter has 0.000621371 miles, hence the number of miles that she runs is given by:

M = 5000 x 0.000621371 = 3.106855 miles .

Maria runs 3.106855 miles in one week.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
Please help and explain
ziro4ka [17]

Answer:

16%

Step-by-step explanation:

What you need to do is add both 48 and 240 together. That gives you a total of 288 flowers. Now you need to divide 48 by 288 because that will give you your percentage. In this case, it's 16%.

3 0
3 years ago
Read 2 more answers
what is the domain of f(x) = ³√x ? a). all real numbers b). positive numbers and zero c). all integers d). whole numbers
Mila [183]

Answer:

A


Step-by-step explanation:

<u>Domain is the </u><u>ALLOWED</u><u> x values in a function.</u>

  • Does plugging in any positive number pose a problem with getting an answer?

No.

  • Does plugging in 0 pose any problem?

No.

  • Does plugging in negative numbers pose any problem?

No. <em>Square root of negative numbers are not possible</em> BUT <em>cube root of negative numbers ARE possible</em>.

<em>Also, from the attached snapshot of the graph of f(x)=\sqrt[3]{x} , we can see that ALL real numbers are allowed for x</em>

7 0
3 years ago
Read 2 more answers
How many six digit number can be made from the digits 1, 1, 1, 2, 2, 3?
yulyashka [42]
The permutation of all digits is 6!, but we don't differentiate the same digits, so we divide it by the number of permutations of 1's (3!) and 2's (2!)

\dfrac{6!}{3!2!}=\dfrac{4\cdot5\cdot6}{2}=60

3 0
4 years ago
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