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Inessa05 [86]
4 years ago
15

Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 54 km/h. After four hours

, the velocity of the car is 58 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used.

Part B: How can you graph the equation obtained in Part A for the first six hours?
Mathematics
1 answer:
iogann1982 [59]4 years ago
4 0
Part A, you have 2 points, let x = time and Y = speed,
  so you have: (2,54) and (4,58)

find the slope (M):
 Y2-y1 / x2-x1:
58-54 / 4-2 = 4/2 = 2

equation for a line = y=Mx+b,
 now you have y = 2x+b

using the first point (2,54) solve for b:
54 = 2(2) +b
b = 50

the equation becomes y = 2(x) +50

Part B) since X is the number of hours, replace x with 1, 2,3, 4, 5, and 6 to calculate the corresponding y value, then plot them onto a graph and draw a line through the points.

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What is the value of the expression below when w=3? 5w2 -5w-8
IrinaK [193]

Answer:

23

Step-by-step explanation:

Well substitute (if there is no sign and their all stocked together, it’s multiplication)

5(3)2 - 5(3)-8

30-7

23

7 0
3 years ago
Problem 3
Alex

Answer: Problem 3: 20 laps per day,

Inequality: x >=20 per day

Problem 4: minimum of 8 employees

Step-by-step explanation:

Given that the goal is 600 laps in a month

And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days

= 600/30= 20

Reem needs to swim a minimum of 20 laps per day to achieve her goal.

Inequality: x should be greater than or equal to 20 laps daily.

x >= 20

Problem 4:

Given that each employee can paint 85square feet per hour

The building has 1360 square feet and to be completed in two hours

Number of employees to complete the job in one hourwill be 1360/85 = 16

If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.

6 0
3 years ago
Combine and Simplify
-Dominant- [34]

Combine like terms (terms with the same variable (letter)). Remember to bring the sign.

4c - 4d + 8c - 3d

4c + 8c = 12c

-4d - 3d = -7d

12c - 7d is your answer

hope this helps

5 0
3 years ago
Read 2 more answers
Help! need these answers filled in for school asap
vampirchik [111]

Answer:

Given : JKLM is a rectangle.

Prove: JL ≅ MK

Since, by the definition of rectangle all angles of rectangles are right angle.

Thus, In rectangle JKLM,

∠ JML and  ∠KLM are right angles.

⇒ ∠ JML ≅ ∠KLM

Since, JM ≅ KL   (Opposite sides of rectangles are congruent)

ML ≅ ML  ( Reflexive )

Thus, By SAS congruence postulate,

Δ JML ≅ Δ KLM

⇒ JL ≅ MK  ( because corresponding parts of congruent triangles are congruent)

Hence proved.

3 0
3 years ago
Find the x- and y- intercepts of the graph of the linear equation 3x-6y=2
bogdanovich [222]

- Put x=0, you would get the y-intercept, so you got one point which would be (0,#)

- Put y=0, you got where the graph would touch\cross\intersect the x-axis, and the other point is (#,0)


to get x-intercept:
y=0:
3x=2 >> x=2/3

to get y-intercept:
x=0:
<span>-6y=2  >>> y = -1/3</span>





5 0
3 years ago
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