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fomenos
2 years ago
7

Help and explain pls and thankyouuu

Mathematics
1 answer:
netineya [11]2 years ago
6 0

Answer: (1, 8)

Step-by-step explanation:

<u>Substitute y = 3x + 5 into the equation 2x + 3y = 26:</u>

2x + 3(3x + 5) = 26

2x + 9x + 15 = 26

11x = 26 - 15

11x = 11

x = 1

<u>Substitute the value of x into the equation y = 3x + 5:</u>

y = 3(1) + 5 = 3 + 5 = 8

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A piston is seated at the top of a cylindrical chamber with radius 3 cm when it starts moving into the chamber at a constant spe
dlinn [17]

Answer:

1. V = πr²h

2. dv/dt = πr²dh/dt

3. dv/dt = 113.04

Step-by-step explanation:

We have these information

Radius R = 3cm

Height = h

Volume = V

We have been given dh/dt = 4cm

1.

An equation relating V, r, h

Volume of cylinder = πr²h

2.

The related rates equation

dv/dt = πr²dh/dt

dv/dt = π3²dh/dt

3. Continuing from number 2 above, we have

dv/dt = π3²dh/dt

= π9x4

= 3.14x9x4

= 113.04

These are the answers to the questions

4 0
3 years ago
If f(x)=x and g(x)=2, what is (f o g)(x)?
IgorC [24]

Answer:

= 2x

Step-by-step explanation:

6 0
3 years ago
Which of the following is a trinomial?
Sedaia [141]

Answer:

A) c^2 + c + 6

Step-by-step explanation:

We have been given four choices out of which we need to select the choice which is trinomial.

Trinomial means polynomial having three terms.

A) c2 + c + 6

It has 3 terms.

B) c2 − 16

It has 2 terms.

C) −8c

It has 1 term.

D) c3 + 4c2 − 12c + 7

It has 4 terms.

We see that only choice A) has three terms.

Hence correct choice is A) c^2 + c + 6


5 0
3 years ago
54 + 81 = 9(6 +_) I need the help to answer my question
Otrada [13]

Answer:

9

Step-by-step explanation:

54+81=9(6+9)

9 times 9 equals 81

7 0
3 years ago
Read 2 more answers
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
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