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Illusion [34]
3 years ago
7

What equation passes through (5,1) and has a slope of 1/2

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

y = ½x - 1.5

Step-by-step explanation:

(x,y) = (5,1)

m = ½

y = mx + c

1 = ½(5) + c

1 = 2.5 + c

1 -2.5 = c

-1.5 = c

impute m and c only into the equ.

y = ½x - 1.5

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The French Club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they sell at $3.50 ea
Schach [20]
It will be b because you will have to time $3.50P140= 490
8 0
3 years ago
A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?
Elden [556K]

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

6 0
3 years ago
Which number is a factor of 22 but not multiple of 2 ?
Masja [62]

Answer:

11 i think

Step-by-step explanation:

..............

6 0
3 years ago
Read 2 more answers
Mr.Bruns class is taking a field trip to the planetarium. The trip will cost $27 for each student. There are 18 students in his
padilas [110]
Total cost
=$27x 18
=$486
4 0
3 years ago
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