Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10

Answers

Answer 1

Answer:

D. y = –2x + 10  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]

2) Expand the right side of the equation to find the answer:

[tex]y = -2(x-5)\\y = -2x+10[/tex]

So, option D is correct.


Related Questions

Find the area and perimeter the Gym, Cafeteria, and Locker
Room drawn in the blueprint.
Type the area in the top
bubble and the perimeter in the bottom bubble. Do not worry about the
doorways when calculating perimeter. (Numbers only)

Answers

Answer:

Gym: A=100 P=41

Cafeteria: A=144 P=48

Locker room: A=75 P= 37

What is the elapsed time between 10:05am 10:51am

Answers

46 minutes is the elapsed time :)

Answer:

46 minutes

Step-by-step explanation:

In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.

The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?

P(t) = 60(3)^t/2

A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day

Answers

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

concrete representation of point

Answers

Answer:

Points in Euclidean geometry

In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.

Step-by-step explanation:

Please help me!


What is the volume of the prism below?

2 3/4 units3
3 1/2 units3
5 units3
8 units3​

Answers

Answer:

Step-by-step explanation:

Answer:

3 1/2 units cubed.

1 3/4 · 1 · 2 = 3 1/2

If $42.60 is in the tip jar and you share equally with 2 other people what is my share

Answers

Answer:

$14.20

Step-by-step explanation:

$42.60 ÷ 3

$14.20

Answer:

$14.20

Step-by-step explanation:

$42.60 divided by 3 is $14.20

SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM

Answers

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.

Answers

9514 1404 393

Answer:

  968

Step-by-step explanation:

The area of the top and sides is given by the formula ...

  A = LW +2H(L +W)

  A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)

  A = (360 +16(38)) cm² = 968 cm²

Since the tiles are 1 cm², 968 tiles are needed.

Target sells 12 bottles of water for 2$ and sells 24 bottles for 3$, what is the better price?

Answers

Answer:

The 24 bottles for 3$

Step-by-step explanation:

12 bottles for 2$ x 2

= 24 bottles for 4$

This means the 24 bottles for 3$ is the better price per bottle.

Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft​

Answers

Answer:

Dude post it again lol

Step-by-step explanation:

The picture is so blurry

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of
10 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final
answers to 2 decimal places.)
3378
318.26
to
33174
a. Highest 10 percent
b. Middle 50 percent
c. Highest 80 percent
d. Lowest 10 percent

Answers

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____  pounds    ||→vx||= ___ pounds    What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds    ||→v||=  ____pounds   ​​​​

Answers

Answer:

30 pounds + 15 pounds is 45 pounds is your total force

Parallel slope of line x-7y=7

Answers

Answer:

The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!

Step-by-step explanation:

x - 7y = 7

-7y = -x + 7

7y = x - 7

y = x/7 - 1

help screenshot below

Answers

Answer: Isosceles Acute

Hope this helped! :)))

Ellen jogs 2.45 miles each day. In the month
of July she jogged 26 days. How far did Ellen
jog in the month of July?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 63.7 miles

Explanation:

2.45 x 26

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Ellen jogged for 26 days in month of July is total of 63.7 miles

Step-by-step explanation:

Braniliest please

What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2

Answers

Answer:

C

Step-by-step explanation:

slope intercept is y=mx+b

The y-intercept is at 2 so b=2.

The slope is rise/run, equaling -3

so y= -3x+2

Can y’all help me solve this?

Answers

Do you have to give me the whole graph lol

solve 7!!!!!!!!!!!!!!!!!!!!!!!

Answers

ummmmm what? Is this a troll or something

Answer:

?

Step-by-step explanation:

The square of a number decreased by ten times the number is negative nine.

Answers

Answer:

answers are 1 and 9

Step-by-step explanation:

x² - 10x = -9

x² - 10x + 9 = 0

(x - 9)(x - 1) = 0

x = 9, x = 1

Answer:

Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.

Step-by-step explanation:

hope this helps

PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!

Answers

Answer:

Step-by-step explanation:

Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)

Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)

Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)

Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)

Reflect means flip the sign of the corresponding coordinate

reflect over x axis flip the sign of x coordinate

reflect over y axis flip the sign of y coordinate

For what values of b will F(x) = logbx be a decreasing function?

Answers

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015

Answers

Answer:

30

Step-by-step explanation:

I think that's the answer but if I'm wrong tell me right away I'll try another method.

1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.


PLS ANSWER QUICKLY !!!

Answers

The answer to the question is Ashby

A CD cost a music store $5.75 to make. If the markup is 125%, what is going to be the cost of the CD in the store?

Answers

Answer:

12.94

Step-by-step explanation:

5.75x125%=7.19

7.19+5.75=12.94

A textbook store sold a combined total of 402 biology and physics textbooks in a week. The number of physics textbooks
sold was 54 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Number of biology textbooks sold: 0
Number of physics textbooks sold:
0

Answers

We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.

Altogether, the bookseller sold 240 math and history textbooks. So:

x + y = 240

Now, the number of history textbooks sold was 72 less than the number of math books sold. So:

y = x - 72

Now we can substitute for y in the equation and solve:

x + y = 240

x + (x - 72) = 240

2x - 72 = 240

2x = 312

x = 156

The bookseller sold 156 math textbooks.

Since y = x - 72, he must have sold 84 history textbooks.

Let's check our answers:

x + y = 240

156 + 84 = 240

That is true, so we did get the correct answers.

Use the remainder theorem and synthetic division to find f(k) for the given value of k.

Answers

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

 

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

Help I will give out

Answers

Answer:

x = 9

Step-by-step explanation:

The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).

Setup:

[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]

"Cross multiply."

[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]

please help immediately

Answers

Answer:

-4,0

Step-by-step explanation:

Which of the following numbers is equivalent to
√48?

Answers

Answer: you forgot attachment

Step-by-step explanation:

It would be 6.928......
But since you didn’t include an answer it could also be 7 or maybe 6.930

no links please or you will be reported .

Answers

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

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