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3 years ago

What is the equation in point−slope form of the line passing through (0, 6) and (1, 3)? (5 points)

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

The slope-point formula:

$y-y_1=m(x-x_1)$

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (0, 6) and (1, 3),

Substitute:

$m=\dfrac{3-6}{1-0}=\dfrac{-3}{1}=-3\\\\y-6=-3(x-0)$

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List all the factors of 45 from least to greatest. Enter your answer below using a comma to separate each number

Alik [6]

Answer:

So, the factors of 45 are 1, 3, 5, 9, 15, and 45.

Step-by-step explanation:

7 0

3 years ago

Slove for x: x+1/3=1/4

lana [24]

Hey!

To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.

Original Equation :
$x + \frac{1}{3} = \frac{1}{4}$

New Equation {Added Subtract $\frac{1}{3}$ to Both Sides} :
$x + \frac{1}{3} - \frac{1}{3} = \frac{1}{4} - \frac{1}{3}$

Solution {New Equation Solved} :
$x=- \frac{1}{12}$

So, this means that in the equation provided, $x=- \frac{1}{12}$ .

Hope this helps!

- Lindsey Frazier ♥

6 0

3 years ago

WILL GIVE 10 POINTS Leona was using an eyedropper to place droplets in a small container.

il63 [147K]

Answer:

A. milliliters B. 8 fluid ounces

Step-by-step explanation:

An eyedropper is very small and can only hold a small amount. You can eliminate 2 from the start: millimeter and meter. These two are use for measuring distance not volume. ex.) I walked 2 meters. A liter is too big for an eyedropper. ex.) 1 liter of soda.

A glass full of juice would be 8 fuild ounces because a glass is basically a cup. A 8 gallons is too big, and a 8 tablespoons is too small. ex.) gallon of milk and tablespoon of sugar. 8 cups is too big because a glass is about 1 cup. 8 fluid ounces = 1 cup

4 0

3 years ago

What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole?

stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4 the HA is x=2 the x intercepts are (-3,0) & (3,0) and the y intercept is (0,9/8).

Step-by-step explanation:

Given f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of x

which make the denominator equal zero. The function is undefined at these values of x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0 and x − 4 = 0

x = − 4 and x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is 2

and the ratio of the leading coefficients is 2/1=1

The HA is x = 2

The x intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0 x − 3 = 0

x = − 3 and x = − 3

The x intercepts are ( − 3 , 0 ) and ( 3 , 0 ) .

The y intercepts are found by setting x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The y intercept is ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

4 0

4 years ago

Is 6/5 greater than 2/3

Natasha2012 [34]

Answer:

yes 6/5 is greater

Problem solving:

first you need to simply the fractions and see which one is bigger.

2/3 = 0.667

6/5 = 1.2

-Sumin <3

6 0

3 years ago

Read 2 more answers