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Zanzabum
3 years ago
10

Solve the system of equations. – 3y +51 = 26 – 2y - 51 = -16

Mathematics
2 answers:
Natalka [10]3 years ago
6 0

Answer:

-2

Step-by-step explanation:

add both equations up

-5y = 10 ➡ y = -2

marissa [1.9K]3 years ago
5 0

Answer:

y= -2

Step-by-step explanation:

ADDING BOTH EQUATIONS

-3y + 51 =26

-<u>2y -51  = -16</u>

-5y        =  10

-5y/5 =  10/5

-y =2

y = -2

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8 0
3 years ago
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).
erma4kov [3.2K]

Answer:

- 3

Step-by-step explanation:

f(x) = 2 {x}^{3}  - 6x + 1 \\ plugging \: x =  - 2 \\ f( - 2) = 2( { - 2})^{3}  - 6( - 2)+ 1  \\  = 2 \times ( - 8) + 12 + 1 \\  =  - 16 + 13 \\  =  - 3 \\ f( - 2) =  - 3

7 0
3 years ago
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the
Alinara [238K]

Answer:

4 Hours

Step-by-step explanation:

Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.

So:

1/x + 1/x + 1/x + 1/x = 1/32

1/4x = 1/32

4x = 32

x = 8

Thus, the rate of the machines is 1/8.

Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.

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2 years ago
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
m_a_m_a [10]

Answer:

523.3 cubic inches

Step-by-step explanation:

A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?

The shape of a basketball is spherical.

Hence:

The volume of a basketball = 4/3 × π × r³

From the question,

π = 3.14

r = radius = Diameter/2

r = 10 in/2 = 5 in

Hence:

The volume of the basketball

= 4/3 × 3.14 × 5³

= 1570 ÷ 3

= 523.33333333 cubic inches

Therefore, the approximate volume of the basketball = 523.3 cubic inches

5 0
3 years ago
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