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tekilochka [14]
3 years ago
14

Michael gave 2/5 of his marbles to his sister. He then divided the remainder equally among his 3 friends. If each of his friends

receives 12 marbles, how many marbles did Michael have at first?
Mathematics
1 answer:
eduard3 years ago
3 0
He had 50 marbles at first
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Find the coordinates of the missing endpoint if m is the midpoint of ab. a(-9, -4) and m(-7, -2.5)
Julli [10]

Answer:

The coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

Step-by-step explanation:

Given

As m is the midpoint, so

m(x, y) = m (-7, -2.5)

The other point a is given by

a(x₁, y₁) = a(-9, -4)

To determine

We need to determine the coordinates of the point b

= ?

Using the midpoint formula

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)

Thus equvating,

Determining the x-coordinate of b

[x₂ + (-9)] / 2 = -7

x₂ + (-9) = -14

x₂ - 9 = -14

adding 9 to both sides

x₂ - 9 + 9 = -14 + 9

x₂ = -5

Determining the y-coordinate of b

[y₂ + (-4)] / 2 = -2.5

y₂ + (-4) = -2.5(2)

y₂ - 4 = -5

adding 4 to both sides

y₂ - 4 + 4 = -5 + 4

y₂ = -1

Therefore, the coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

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3 years ago
Use the function below to find f(–4). f(x) = 2x
Tcecarenko [31]
Replace x with -4 so it would be:
f(-4)= 2(-4)=-8
-8 is your answer
6 0
3 years ago
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Which expression represents the positive solution of x ^ 2 = 8?
Fantom [35]

Answer:

x ^ 2 = 8

x = √8

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3 years ago
Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Greeley [361]
<h3>Part A</h3>

<u>Car 1</u>

  • 26000 - 32000 = 32000 - 38000 = -6000
  • Since the difference is common this is a linear function

<u>Car 2</u>

  • 32300/38000 = 27465/32300 = 0.85
  • Since the ratio is common this is an exponential function
<h3>Part B</h3>

<u>Car 1</u>

  • V(x) = 38000 - 6000x

<u>Car 2</u>

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<h3>Part C</h3>

Find V(6) for both cars and compare

<u>Car 1</u>

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<u>Car 2</u>

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As we see the difference is significant and car 2 has much greater value

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A demand
artcher [175]

Answer:

B) curve

Step-by-step explanation:

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