How are rate of change and slope different?

Answers

Answer 1
Answer:

Answer:

The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . ... If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

Step-by-step explanation:


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Why does the term angle need to be defined prior to defining perpendicular lines?
100 point giveawayanswer anything idcNO LINKS
Determine the function's value when x = -1.O g(-1) = -3Og(-1) = 0O g(-1) = 1Og(-1) = 27
Factor this trinomial completely.15x²+11x-12 OA. (3x+3)(5x-4) OB. (3x+4)(5x-3) C. (x+3)(15x-4) OD. (x+4)(15x-3)

The drama teacher is making costumes for the school play. Each costume requires 1 and 2/3 yards of material and 3/4 of a yard of ribbon. Thematerial costs $2.99 per yard and the ribbon costs 59 cents per yard.
What is the approximate cost for 2 costumes
A. $11.95
B. $5.65
C. $9.00
D. $10.90

Answers

Answer:

c

Step-by-step explanation:

  1. round 2.99 and 59 cents
  2. multiply 60 times 2
  3. 3 times 2
  4. add

Clayton drove at a constant rate on the highway for a trip to the beach. He did not make any stops along the way. The distance Clayton had driven at any given time describes a linear function. At 3:00 p.m., he had driven 90 miles. At 4:30 p.m., he had driven 180 miles. Which statement about Clayton’s trip is true?1.Clayton started driving at 1:30 p.m., and he drove 60 miles per hour.


2.Clayton started driving at 3:00 p.m., and he drove 60 miles per hour.



3.Clayton started driving at 1:30 p.m., and he drove 90 miles per hour.


4.Clayton started driving at 4:30 p.m., and he drove 90 miles per hour.

Answers

The answer is the first 1 !!

Here is how we see if it is true!

If Clayton drives 60 miles per hour, that means, that after one hour has passed, they should have traveled 60 miles!

If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.

If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!

Let's solve that!

60 × 3 = 180 miles!

Clayton started driving at 1:30 pm and went 60 miles per hour.

Write a statement that indicates that the triangles in each pair are congruent

Answers

Number 1 is congruent

A student is trying to solve the system of two equations given below:Equation P: y + z = 6
Equation Q: 8y + 7z = 1

Which of these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ −8
(y + z = 6) ⋅ 7
(8y + 7z = 1) ⋅ 7
(8y + 7z = 1) ⋅ 8

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

For eliminating y term we need to make coefficients of y in both equations same.

Equation P: y + z = 6

Equation Q: 8y + 7z = 1

Coefficients of y in equation P = 1

Coefficients of y in equation Q = 7

So we need to multiply equation P with 7.

That is (y + z = 6) x 7

Option B is the correct answer.

Hello,
the student used the same equation !!!!

y+z=6      |*(-8)
8y+7z=1 |*1

==>-8z+7z=-48+1
==>-z=-47
==>z=47
(1)==>y=-47+6
==>y=-41



Solve the following equation algebraically. Represent your answer in simplest radical form, if necessary.x^2 + x = 30

Answers

x^2 + x = 30\n\nx^2 + x - 30=0\n\nx^2+6x-5x-30=0\n\nx(x+6)-5(x+6)=0\n\n(x+6)(x-5)=0\n\nx+6=0\ \ \ \ \ \ or\ \ \ \ \ \ x-5=0\n\nx=-6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=5

How do I solve 8 + 5/16

Answers

8 +  (5)/(16) =  (8)/(1) +  (5)/(16) =  (8*16)/(16) +  (5)/(16) =  (8*16+5)/(16)= (133)/(16)
8/1                       +                      5/16                    
  *16
 128/16     + 5/16                =    133/16