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muminat
3 years ago
7

Write the equation of a line in slope-intercept form with a slope of 2 and

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

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Which of the following statements have the same result? Explain each step in solving each one.
QveST [7]
First:   f(2) is same as  f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8

Second
 f^(-1) (3) is inverse function.  first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3

x=3
f^-1(3) = 16/3

Third
  2y + 14 = 4y - 2
      we just solve for y
     2y = 16
      y = 8

Now we take that f(x) = y because we both write to be the functions of x

that means that First and third have same result.


4 0
3 years ago
Really quick question please answer it in fraction form. What is 6* 2/5?
sdas [7]

Answer:

12/5

Step-by-step explanation:

6(2/5)

= (6/1) * (2/5)

= (6)(2) / (1)(5)

= 12/5

7 0
3 years ago
A quality-control center finds that 2 out of 250 toy trains are defective. How many trains would they expect to be defective in
solmaris [256]
Its A. 10,000 divided by 250 is 40. Then multiply 40 by 2 and you get 80

10,000 / 250 = 40 
40 * 2 = 80
80= A.
5 0
3 years ago
The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.
Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The  distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, h=15\ ft

The distance from the base of the pole to this point on the ground is, b=8\ ft

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2

Plug in the given values and solve for 'l'. This gives,

l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0
3 years ago
I need to simplify this
Korvikt [17]
Hi there!

3 \sqrt{54} + 2 \sqrt{24} =
First we split up the square root into two parts.

3 \times \sqrt{9} \times \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{6} =
Now we calculate the value of the square roots which have an integer as a solution

3 \times 3 \times \sqrt{6} + 2 \times 2 \times \sqrt{6} =
Multiplying the integers gives us our next step.

9 \sqrt{6} + 4 \sqrt{6} =
And finally we add up the roots.

13 \sqrt{6}
3 0
3 years ago
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