All categories

2 years ago

If it passes through (6,-5) and m=2/3 solve for y , how would this be solved

Mathematics

2 answers:

Katen [24]2 years ago

6 0

(y-y1) = m( x-x1)

y+5=2/3(x-6)
y +5 = 2/3. x - 4
y = 2/3 x - 9

Sati [7]2 years ago

5 0

Set it up in slope-point intercept form.

y + 5 = 2/3(x - 6)

1. Distribute the 2/3.

y + 5 = 2/3x - 4

2. Subtract 5 from both sides.

y = 2/3x - 9

You might be interested in

The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m

balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that $a = 18.5, b = 40.5$

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

$P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773$

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0

2 years ago

Dana needs 4.25 cups of flour to make 5 dozen cookies. How

Ne4ueva [31]

Answer:

C. 0.85 cups

Step-by-step explanation:

4.25/5 = 0.85

5 0

3 years ago

The graph of which function has a minimum located at (4, –3)?

valentinak56 [21]

Answer:

None of the options is the answer to the question

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

case A) we have

$f(x)=x^{2}+4x-11$

In this case the x-coordinate of the vertex will be negative

therefore

case A is not the solution

case B) we have

$f(x)=-2x^{2}+16x-35$

This case is a vertical parabola open downward (the vertex is a maximum)

The vertex is the point $(4,-3)$ <u>but is not a minimum</u>

see the attached figure

therefore

case B is not the solution

case C) we have

$f(x)=x^{2}-4x+5$

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-5=x^{2}-4x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-5+4=(x^{2}-4x+4)$

$f(x)-1=(x^{2}-4x+4)$

Rewrite as perfect squares

$f(x)-1=(x-2)^{2}$

$f(x)=(x-2)^{2}+1$ --------> vertex form

The vertex is the point $(2,1)$

therefore

case C is not the solution

case D) we have

$f(x)=2x^{2}-16x+35$

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-35=2x^{2}-16x$

Factor the leading coefficient

$f(x)-35=2(x^{2}-8x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-35+32=2(x^{2}-8x+16)$

$f(x)-3=2(x^{2}-8x+16)$

Rewrite as perfect squares

$f(x)-3=2(x-4)^{2}$

$f(x)=2(x-4)^{2}+3$ --------> vertex form

The vertex is the point $(4,3)$

therefore

case D is not the solution

The answer to the question will be the function

$f(x)=2x^{2}-16x+29$

7 0

3 years ago

Read 2 more answers

Please help me! Thank you. :)

amm1812

Answer:

13.75/ hour

Step-by-step explanation:

$192.50/14 hours= $13.75/hour

$247.50/18 hours= $13.75/hour

$453.75/33 hours= $13.75/hour

5 0

2 years ago

Read 2 more answers

Review financial websites or publications and gather the following information for three company stocks:

Brut [27]

Answer:

(Left to right)

Company name, JC Penney Company Inc., Apple Inc., Ford Motor Company

Industry, retail, information technology, automobiles

Current share price ($), $9.09, $119.08, $15.66

Share price one year ago ($), $7.65, $105.11, $15.74

Annual capital gain/loss ($), $1.44, $13.97, -$0.08

Annual rate of return (%), 18.82%, 13.29%, -0.51%

5 0

2 years ago