MATHEMATICS HIGH SCHOOL

Which function has the greatest rate of change?A.
14x – 2y = 8

B.
y = 6x – 5

C.
x y
−2 −7
−1 −2
0 3


D.
A linear function that goes through point 1, 3 and point 0, negative 2

Answers

Answer 1
Answer: Hello,

Answer A

A: y'=7
B:y'=6
C:y'=5
D:y'=5

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What is the answer to this?
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If p and a vary inversely and p is 26 when q is 5, determine q when p is equal to 10
Please help me with the question below! its due in 10 minutes! thank you sm!

A time/motion word problem"A plane leaves Denver heading due north at 500 mph.  Simultaneously, another plane leaves Denver traveling due east at 1200 mph.  After how many minutes will the planes be 650 miles apart?"

I know the answer is 30, but I have no clue how to solve the problem itself

Answers

The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.

Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.

After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.

Do you remember this for a right triangle ? ==>    A² + B² = C²

(500H)² + (1200H)² = (650)²

250,000H² + 1,440,000H² = 422,500

1,690,000 H² = 422,500

H² = (422,500) / (1,690,000) = 0.25

H = √0.25 = 1/2 hour = 30 minutes
x^2=500^2+1200^2\n\nx^2=250000+1440000\ \ \ \Rightarrow\ \ \ \ x^2=1690000\ \ \ \Rightarrow\ \ \ \ x=1300\ [mph]\n\nthe\ distance=650\ miles\n\nthe\ speed= (the\ distance)/(the\ time) \ \ \ \Rightarrow\ \ \ 1300\ [mph]= (650\ [miles])/(the\ time)\n\nthe\ time= (650)/(1300) \ [hr]=0.5\ [hr]=30\ [min]\n\nAns.\ after\ 30\ minutes.

Which inequality represents the values of X that insure triangle ABC exists

Answers

Answer:

7/4 < x < 11/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer

Given the information:

  • AB: 2x + 4
  • BC: 6x
  • AC: 16

All of these three triangle inequalities must be satisfied:

  •  AB +BC > AC

<=> 2x + 4 + 6x > 18

<=> 8x > 14

<=> x > 7/4

  •  BC +CA > BA

6x + 18 > 2x + 4

<=> 4x > -14

<=> x > -14/4

  •  CA +AB > CB

18 + 2x + 4 > 6x

<=> 22 > 4x

<=> x < 11/2

So the inequality represents the values of X that insure triangle ABC exists is:  7/4 < x < 11/2

Hope it will find you well.

5 cm 13 cm and 12 cm is a right triangle

Answers

I think its not a right triangle because of the cm.
Yep, it is because it follows Pythagoras theorem

5²+12²=13²

jake got 85% of his answers correct on the math test. if there were 20 questions on the test how many did jake get correct?

Answers

20*.85=17 so he got 17 right

Of the 95 people enrolled in mathematics class, 93% are present. How many are present?

Answers

To determine the number of students who were present in the mathematics class, multiply the total number of people enrolled by the decimal equivalent of the given percentage. That is,
                        present = (95) x (0.93) = 88.35
Thus, there are only 88 persons present. 

Which of the following represents the factored form of f(x) = x^3 − 64x?f(x) = x(x + 8)(x − 8)
f(x) = (x − 8)(x + 8)
f(x) = x(x − 8)^2
f(x) = x(x^2 − 8)

Answers

the first answer is the right factors
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