What is the equation, in point-slope form, for a line that goes through (2, – 6) and has a slope of -3/4?

y-6 = 3/4 (x-2)

y–6=-3/4(x+2)

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

y+6= -3/4 (x– 2)

Answer:

-34 5/6

Step-by-step explanation:

Hope this helps

Have a blessed day

Answer:

x=-4,\:y=-2

Step-by-step explanation:

Answer:

x=-4

y=-2

Step-by-step explanation:

-4x-4y=24. .........1

3x+10=y...........2

since y is already isolated in equation 2 we can substitute the y value

subs 2 into 1

-4x-4(3x+10)=24.

-4x-12x-40=24

-16x=24+40

x=-4.....3

subs 3 into 2

3(-4)+10=y

-12+10=y

-2=y

Answer:

-9.6

Step-by-step explanation:

92-44/17-21

Answer:

-12

Step-by-step explanation:

Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the values:

[tex]y_2=44[/tex]

[tex]y_1=92[/tex]

[tex]x_2=21[/tex]

[tex]x_1=17[/tex]

Plugin the values; solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{44-92}{21-17}[/tex]

[tex]= \frac{-48}{4}[/tex]

[tex]\bold{m=-12}[/tex]

Therefore, the slope of the line containing the points (17,92) and

(21, 44) is -12.

Step-by-step explanation:

equate the two equations

Answer:

Betty had 45 minutes to take her test in mixed number form it is

Step-by-step explanation:

1 hour

1/4 an hour = 15 minutes

1/2 an hour is 30 minutes

1 hr 15- 30= 45

45= 3/4 of and hour remaining to test

Answer:

D

Step-by-step explanation:

the Max Point is (2,6) so y=b

sorry if u dont get it

Answer: 650

Step-by-step explanation:

1300 divided by 2 is 650

If you are psting your questions from an assignment i hope that its not against tos

Answer:

650

Step-by-step explanation:

this is the answer have a great day now!

[tex]c = k {d}^{2} + e \\ = > c - e = k {d}^{2} \\ = > {d}^{2} = \frac{c - e}{k} \\ = > d = \sqrt{ \frac{c - e}{k} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

It would take 5 hours.

1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5

1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.

Answer:

1,133

Step-by-step explanation:

2%=0.02

$22.66÷0.02=$1,133

Answer:

9x+4=5x+12

9x-5x=12-4

4x=8

x=2

Hey there!

Solve for x :

x = 2 ✅

9x + 4 = 5x + 12

>> Substract 4 from both sides :

9x + 4 - 4 = 5x + 12 - 4

9x = 5x + 8

>> Substract 5x from both sides :

9x - 5x = 5x - 5x + 8

4x = 8

>> Divide both sides by 4 :

4x / 4 = 8 / 4

x = 2

Therefore, your answer is x = 2.

Learn more about equation :

https://brainly.com/question/20223429

Answer:

C

Step-by-step explanation:

Answer:

8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces

Answer:

an employee working on commission plus salary.

Step-by-step explanation:

salary is the hourly rate

commission is tips

Answer:

B - An employee working on commission plus salary

Step-by-step explanation:

If x is an integer, and

x + (x + 1) + … + 2020 + 2021 = 2021

then of course

x + (x + 1) + … + 2020 = 0

and we can write the left side as a sum,

[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]

with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that

[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]

Recall that

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 +  \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]

Solve for n :

(2020 - n) (n + 1) + n (n + 1) / 2 = 0

4040 + 4039 n - n² = 0

(n - 4040) (n + 1) = 0

⇒   n = 4040   or   n = -1

But we are taking the sum of a positive number of terms, so n = 4040.

Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.

Answer:

  linear

Step-by-step explanation:

The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.

  first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3

  second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3

The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

Find out more at: https://brainly.com/question/12490064

Answer:

with what?

Step-by-step explanation:

??

Answer:

1 26/49

Step-by-step explanation=

2 1/7 ÷ 1 2/5

15/7 over 1 2/5

15/7 over 7/5  

75/49  

= 1 26/49

Answer:

yes, it's a function

Step-by-step explanation:

downward facing parabola

Answer:

Step-by-step explanation:

Answer:

10 square inches

Step-by-step explanation:

[tex]area \: formula \: = \frac{1}{2} bh[/tex]

h= 5 inches

b= 4 inches

[tex] \frac{1}{2} \times 4 \times 5 = 10[/tex]

Hi, I already answered this question on your other post (seems like you posted this question twice): https://brainly.com/question/26075347 (check that link out)

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = population of the city in 2015

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = population of the city in 2020

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

Answer:

I would say B

Step-by-step explanation:

I'm sorry, I don't have an explanation

The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.

It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.

It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.

Given that Mean = μ = 64.4 inches

Standard Deviation = σ = 2.3 inches

We have to find the standard score for players height;

So, Let x = 75% = 0.75

Therefore the formula for z-score is:

x - mean / S.D

0.75 = x - 71.5/2.3

x = 76.10

Rounding off to nearest hundredth

z-score = 76.1

Hence, The middle 75% of all NFL players have heights between in

(A) 68.9 inches to 76.1 inches.

Learn more about z-score at:

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Answer:

There is no solution to this equation.

Hope this helps :)

Answer:

no solution.

Step-by-step explanation:

carry the -5 and - sign and multiply the numbers within the () signs. so - 5×x and -5×6. which is -5x + -30. the other side will be -5x + 9. so then if you take away the -5x your left with -30 = 9 which is impossible.

The point (4,6) means it took Ziah 4 minutes to run 6 blocks.

This is because any point is of the form (x,y) where in this case

x = number of minutes

y = number of blocks