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Posted in Mathematics

4. Which of the following sets of numbers is a Pythagorean triple? A. 4, 5, 6 B. 8, 15, 17 C. 5, 12, 14 D. 8, 24, 25 Suppose a triangle has side lengths 6, 7, and 10. Which of the following best describes this triangle? A. obtuse B. acute C. right D. Cannot be determined.


Here are the answers to the given questions above:
4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B.  8, 15, 17.
5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.

Related Questions

Posted in Mathematics

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)

I hope this helps you



(f-g)(x)=2x+1-(x^2-7)



(f-g)(x)=2x+1-x^2+7


(f-g)(x)= -x^2+2x+8

Posted in Mathematics

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b? A. a + b ≥ 30 b ≥ a + 10 B.a + b ≥ 30 b ≤ a – 10 c. a + b ≤ 30 b ≥ a + 10 D. a + b ≤ 30 b ≤ a – 10

I believe the correct answer from the choices listed above is option A.  If b is the greater integer, then the system of inequalities that could represent the values of a and b would be a + b ≥ 30 and b ≥ a + 10. Hope this answers the question. Have a nice day.

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Posted in Mathematics

Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings? 24 25 26 27

For the answer to the question above, she can buy 24 video games

Because she bought a CD on her savings, we must deduce the cost of the CD from her 1,128 savings 
1128 - 72=1056

Then just divide the difference to how much each videogame cost
1056 / 43 = 24

So the answer is she can buy 24 videogames.

Posted in Mathematics

1. Which set of ordered pairs in the form of (x,y) does not represent a function of x? (1 Point) A. (1, 1.5), (2, -1.5), (3, 1.5), (4, 1.5) B. (0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5) C. (1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5) D. (1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)

Based on the given set of ordered pairs above, the set of ordered pairs in the form of (x,y) that does not represent a function of x would be option B. Why is this so? if you notice, the number 1 in the x is being repeated so this means this is not a function. Hope this answer helps.

Posted in Mathematics

Which test point holds true for y − 2x ≤ 1? (0, 2) (-2, 4) (1, 4) (5, 0)

So in order to find the correct answer, we can just easily plug in the values to check which ordered pair matches the given inequality above. So based on my solutions, the correct answer would be the last pair. 
 y − 2x ≤ 1
0 - 2(5)
 ≤ 1
0-10  ≤ 1
-10  ≤ 1
Hope this answer helps.

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Posted in Mathematics

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm? 4x < h < 10x 10x < h < 4x h = 4x h = 10x

Answer with explanation:

In a triangle sum of two sides , should always be greater than the third side.

Sides of the given triangle are, 3 x cm, 7 x cm and h cm.

1.

3 x + 7 x > h

→ 10 x > h

2.

3 x+ h > 7 x

→h > 7 x -3 x

→h> 4 x

3.

7 x + h > 3 x, which will be always true.

Combining 1, 2 and 3 we get

→4 x < h < 10 x

Option A

Posted in Mathematics

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week. Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

For the answer to the question above, let us solve the first for
Part A. $10 x 40 hours= $400 ($10x = W) X= 40 hours a week

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c.  Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for 46 hours

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Posted in Mathematics

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

For the answer to the question above, I'll show my to solution to the answer below.
average rate of change is 
(f(5) - f(1))/(5 - 1) = 

(17 - 5^2 - (17 - 1^2))/4 = 

(17 - 25 - 17 + 1)/4 = 
So the answer for this problem is
-6
I hope my answer helped you. Feel free to ask for more questions.

Posted in Mathematics

What is the solution to the system of equations? y = 1.5x – 4 y = –x a. (–1.6, 1.6) b. (–1.5, 1.5) c. (1.5, –1.5) d. (1.6, –1.6)

I believe the correct answer from the choices listed above is option D. The solution to the system of equations given above would be (1.6, –1.6). We can use the substitution method to solve this. We do as follows:

-x = 1.5x – 4
4 = 2.5x
x = 1.6
y = -x = -1.6

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Posted in Mathematics

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer. Hint: Use the formula, f(x) = P(1 + r)x

For the answer to the question above, I think the formula you is wrong. The x must be in exponential form. It must look like this

f(x) = P(1 + r)^x
Now we can solve.

Given:
P = 2000
r = -0.06

f(x)  =  2000 (1 - 0.06)^x
       =  2000 (0.94)^x


         
2000 (0.94)¹² = 

2000 (0.476)  = 
The answer is 
951.8 square kilometers.
                   

Posted in Mathematics

If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets _____ interest rates to find willing buyers.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets greater than interest rates to find willing buyers.

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Posted in Mathematics

The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of 7x+3 and another has a degree measure of 3x-6 . Write an expression for the degree measure of the third angle in the triangle.

The sum of the angle measures of any triangle is 180 degrees. It should be that a + b + c = 180. For this problem, we are given the two angles which we assume to be a and b so,

180 = 
7x+3 + 3x-6 + c
c = 180 - (
7x+3 + 3x-6) 
c = 180 - (10x - 3)
c = 177 - 10x

Hope this answers the question. Have a nice day.

Posted in Mathematics

Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

In order to confirm if which ordered pair is a solution of the given equation above, we can just simply plug in the values.
So based on my solution, the correct answer would be the third option: (5,1) 
So let us try to plug in the values.
2(5) - 1 = 9
10 -1 = 9
9 = 9
So this is the correct one. Hope this answers your question.

Posted in Mathematics

The following data values represent a population. What is the variance of the values? 8, 10, 14, 12 A.22 B.11 C.5 D.10

 Variance is calculated by taking the differences between each number in the set and the mean, squaring the differences (to make them positive) and dividing the sum of the squares by the number of values in the set. We do as follows:

Mean = 8+10+14+12 / 4 = 11

Variance = (8-11)^2 + 
(10-11)^2 + (12-11)^2 + (14-11)^2 / 4
Variance = 5 <-------OPTION C

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Posted in Mathematics

Which one is bigger 60% of 90 or 1/2 pa 100?

60% of 90 = 90 * 0.60 = 54
1/2 of 100 = 100/2 = 50

So, as 54 > 50, 60% of 90 > 1/2 of 100

So, your answer is 60% of 90 is bigger!

Hope this helps!

Posted in Mathematics

What is another way to write 250,000 ml?

Another way to write it would be 250 liters.

hope this helps you

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Posted in Mathematics

The soccer team voted on what they wanted to eat. there are 20 members on the team. six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs. which ratio represents the number of votes for hot dogs to chicken

Since there are 20 members in the soccer team. Then six members voted to eat pizza and 10 member voted to eat chicken and the rest is hotdog

Member voted for hotdog = 20 – 10 – 6 = 4

Ratio for hotdog to chicken is 10 : 4 or 5:2

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Posted in Mathematics

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞)

The solution to the problem is as follows:

solve for x :

−3(6−2x)≥4x+12

−18+6x≥4x+12

2x≥30

x≥15

So the answer is D ) 15 to +infinity


I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

Which of the following is the statement of the triangle inequality theorem? A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle. B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C. The longest side of a triangle is opposite the largest angle. D. The largest angle of a triangle is between the two longest sides.

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

 a+b > c

case 2)

 a+c > b

case3)

 c+b > a

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Posted in Mathematics

How to solve this problem 14-6= 10-6=?

I really don't think you wrote the question properly. Or maybe you did, but this question doesn't make any sense! :/

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Posted in Mathematics

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 + 7c – 4c2 – 3c + 4 –4c2 + 4c + 6 –7c2 + 10c + 6 –4c2 + 4c + 8 –7c2 + 7c + 6

Answer:

A) -4c^2 + 4c + 6

Step-by-step explanation:

The given polynomial is 2 + 7c – 4c^2 – 3c + 4

Add the like terms.

2 + 4 + 7c - 3c -4c^2

= 6 + 4c - 4c^2

Write it in a standard form

= -4c^2 + 4c + 6

Answer is A) -4c^2 + 4c + 6

Hope this will helpful.

Thank you.

Posted in Mathematics

Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b. A. –7 B. 7 C. 14 D. 32

The best and most correct answer among the choices provided by your question is the third choice or letter C.

If ST = 21, SP = 3b – 11, and PT = b + 4, the value of b would be 14.


I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

Each set of ordered pairs represents a function. Write a rule that represents the function. 1. (0,0),(1,4),(2,16),(3,36),(4,64) 2. (0,0),(1,0.5),(2,2),(3,4.5),(4,8)

My answer to the question is as follows:

First one looks like you are squaring the number, then multiplying the result by 4, i.e.

y=4x2

second one is similar, but instead of squaring and multiplying by 4, you are squaring and then dividing by 2

I hope my answer has come to your help. God bless and have a nice day ahead!

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