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2 years ago

What is the slope in the equation y= 4x+9

Mathematics

1 answer:

Alexxx [7]2 years ago

7 0

Answer:

Step-by-step explanation:

This equation is in the form y = mx + b

In all cases, m equals the slope

So in this case, the slope would be 4.

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If someone picks you as the brainiest or wutever, wut does that do?

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3 years ago

SHOW YOUR WORK, PLEASE HELP!!!!!!!!!

Shkiper50 [21]

To find the inverse, we swap the variables y and x, then solve for the new y.

3a. $y=\frac{3}{x-1}$

Swapping the variables: $x=\frac{3}{y-1}$
Solving for y: $x(y-1)=3 \\ y-1= \frac{3}{x} \\ y=1+\frac{3}{x}$
The domain of this inverse is $x ≠ 0$ .
3b. $y=x^2-1$

Swapping: $x = y^2 - 1$
Solving for y: $y^2 = x + 1 \\ y = \sqrt{x+1}$
The domain of this inverse is $x ≥ -1$ .
3c. $y=\sqrt[3]{\frac{x-7}{3}}$
Swapping: $x=\sqrt[3]{\frac{y-7}{3}}$
Solving for y: $x^3=\frac{y-7}{3} \\ y-7=3x^3 \\ y=3x^3+7$
The domain of this inverse is all real numbers.
4a. $y=\frac{3}{x-1}$ , $y=1+\frac{3}{x}$
$y=\frac{3}{(1+\frac{3}{x})-1} \\ y=\frac{3}{(\frac{3}{x})} \\ y=x$
$y=1+\frac{3}{(\frac{3}{x-1})} \\ y = 1+(x-1) \\ y = x$

4c. $y=\sqrt[3]{\frac{x-7}{3}}$ , $y=3x^3+7$
$y=\sqrt[3]{\frac{(3x^3+7)-7}{3}} \\ y=\sqrt[3]{\frac{3x^3}{3}} \\ y=\sqrt[3]{x^3} \\ y=x$
$y=3(\sqrt[3]{\frac{x-7}{3}})^3+7 \\ y = 3({\frac{x-7}{3}})+7 \\ y = (x-7)+7 \\ y=x$

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3 years ago

Kaylee has 4 1/2 yards of fabric. She wants to make an outfit that requires 6 1/3 yards of fabric. How much more fabric will she

Artyom0805 [142]

Answer:

1 5/6

Step-by-step explanation:

6 1/3-4 1/2= 19/3-9/2= 38/6-27/6= 11/6= 1 5/6

Ans: She will need 1 5/6 more fabric.

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3 years ago

PLEASE HURRY I NEED HELP SOS!!!!!!!! (15 POINTS)

yaroslaw [1]

Answer:

0, π, 7π/6, 11π/6 on the interval 0 ≤ ø <2π.

Step-by-step explanation:

sinø + 1 = cos2ø

Use the identity cos 2o = 1 - 2 sin^2 o:

sin o + 1 = 1 - 2 sin^2 o

2sin^2 o + sin o + 1 - 1 = 0

2 sin^2 o + sin o = 0

sin o (2 sin 0 + 1) = 0

Therefore sin o = 0 or sin o = -1/2.

For sin o = 0 , o = 0, π radians.

For sin o = - 1/2, o = 7π/6, 11π/6 radians.

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3 years ago

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saveliy_v [14]

Answer:

Step-by-step explanation:

The focus and the vertex define the shape of a hyperbola.

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3 years ago