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3 years ago

What is the slope-intercept form of the function described by this table?

Mathematics

1 answer:

Andru [333]3 years ago

6 0

Answer:

y = - 3x + 4

Step-by-step explanation:

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ ) Point-slope form

y = mx + b Point-intercept form

(1, 1)

(2, - 2)

m = (- 2 - 1 ) / (2 - 1) = - 3

y - 1 = - 3( x - 1 )

y = - 3x + 4

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Identify the solution to the following inequality: -1/2 (x+3) > x - 3

mrs_skeptik [129]

Answer:

Step-by-step explanation:

- $\frac{1}{2}$ (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

8 0

2 years ago

Read 2 more answers

What is the answer for this one ??

Arisa [49]

Answer: D

Step-by-step explanation:

A. 3 + -7 < -4

-4 < -4

this one isn’t a solution

B. 3 + -7 ≤ -4

-4 ≤ -4

this works, let’s try the other equation

3(3) + 2(-7) < -5

9 + -14 < -5

-5 < -5

this one doesn’t work either, let’s go on to the next one

C. the first equation is the same as the first one in A, and that didn’t work, so we know that the whole thing doesn’t work and we don’t have to do any math

D. we know the first equation works because we did it in B

let’s go on to the second equation

3(3) + 2(-7) ≤ -5

9 -14 ≤ -5

-5 ≤ -5

this works, so that means that both equations work and the whole thing works :)

5 0

3 years ago

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

anyanavicka [17]

Answer:

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ $x_{1}$ = 8 and $x_{2}$ = -4

∴ $y_{1}$ = 0 and $y_{2}$ = 6

∵ $m=\frac{6-0}{-4-8}=\frac{6}{-12}$

∴ $m=-\frac{1}{2}$

Substitute the value of m in the form of the equation

∵ y = m x + b

∴ y = $-\frac{1}{2}$ x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = $-\frac{1}{2}$ x + 4

We can write $-\frac{1}{2}$ x as $-\frac{x}{2}$

∴ y = $-\frac{x}{2}$ + 4

- Switch the two terms of the right hand side

∴ y = 4 - $\frac{x}{2}$

The equation of Grant's path is y = 4 - $\frac{x}{2}$

4 0

3 years ago

30. Work out the next two terms, giving your answers as fractions decimals or percentages. The sequence below is linear. 0.6 75%

Klio2033 [76]

Answer:

The next two terms are: 1.05 and 1.20

Step-by-step explanation:

Given

$Sequence: 0.6, 75\%, 9/10$

Required

Write out the next two terms

Since it is a linear sequence; first, we calculate the common difference (d)

$d = 75\% - 0.6$ or $d = 9/10 - 75\%$

Express as decimals

$d = 0.75 - 0.6$ or $d = 0.9 - 0.75$

$d = 0.15$ (in both cases)

So, we add 0.15 to 9/10, to get the next term

$Next = 9/10 + 0.15$

$Next = 0.9 + 0.15$

$Next = 1.05$

Add 0.15 to 1.05, to get the next term

$Next = 1.05 + 0.15$

$Next = 1.20$

The next two terms are: 1.05 and 1.20

3 0

3 years ago

The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each studen

rodikova [14]

Answer:

gcf is 20 lcm is 40

Step-by-step explanation:

6 0

3 years ago