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3 years ago

Which are the roots of the quadratic function f(q) = q2 – 125

Mathematics

2 answers:

algol [13]3 years ago

7 0

Answer:

q = ± 5 $\sqrt{5}$

Step-by-step explanation:

Given

q² - 125 = 0 ( add 125 to both sides )

q² = 125 ( take the square root of both sides )

q = ± $\sqrt{125}$

= ± $\sqrt{25(5)}$

= ± $\sqrt{25}$ × $\sqrt{5}$

= ± 5 $\sqrt{5}$

svetoff [14.1K]3 years ago

6 0

Answer:

Roots are $q=5\sqrt{5},-5\sqrt{5}$

Step-by-step explanation:

Given : Function $f(q)=q^2-125$

To find : Which are the roots of the quadratic function ?

Solution :

To find the roots equate the function to zero.

$q^2-125=0$

Add 125 both side,

$q^2=125$

Taking root both side,

$q=\pm \sqrt{125}$

$q=\pm \sqrt{5\times 5\times 5}$

$q=\pm 5\sqrt{5}$

Therefore, roots are $q=5\sqrt{5},-5\sqrt{5}$

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78 divided by 190 steps

Goryan [66]

78 x 100 = 7800

How many times does 190 go into 780? 
≈ 4....190 x 4 = 760 

780 - 760 = 20...bring down the extra 0 to make it 200. 

How many times does 190 go into 200? 
≈ 1...subtract 190 from 200 to get a remainder of 10 

190 ÷ 7800 ≈ 41

Hope I Helped You!!! :-)

Have A Good Day!!!

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3 years ago

Find the perimeter use 3.14

Alex777 [14]

Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle. Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

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4 years ago

You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number

raketka [301]

The initial payment per month being 30 and each movie being 2.50 means that if the total payment is 45 then you pay for 6 movies per month, 30x+6(2.5x)

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3 years ago

Read 2 more answers

PLS HELP ME. im desperateeeeeee uwu

Anna007 [38]

Answer:

Greetings!

The answer to the first image is: 3 $\sqrt{6}$

The second image is 4 $\sqrt{3}$

Step-by-step explanation:

Here's how to rationalize a denominator:

1. Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.

2. Make sure all radicals are simplified.

3. Simplify the fraction if it is needed.

I hope this helps you! :)

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2 years ago

There is a group tour at the museum every 20 minutes. A movie about the exhibit begin every 45 minutes. Both begin at 9am. What

AlladinOne [14]

This question is best answered by finding the least common multiple of both 45 and 20. If a scenario indicates every so many, it would be like listing the multiples. It can be harder to list the multiples of bigger numbers (45, 90, 135, 180 and 20, 40, 60, 80, 100, 120, 140, 160, 180), so another strategy is to use prime factorizations. The prime factorization of 45 is 3 x 3 x 5 and the prime factorization of 20 is 2 x 2 x 5. The numbers that are the same in both prime factorizations are part of your answer. All other numbers (the italicized ones) also become a factor in your final answer, so 5 x 3 x 3 x 2 x 2 = 180. This means 180 minutes later they both start again at the same time. So 3 hours from 9 am is 12 noon.

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