MATHEMATICS HIGH SCHOOL

Which of the following equations describe the line shown below?
Check all that apply

Answers

Answer 1

Answer:

Answer:

Options B and E are correct.

Step-by-step explanation:

Let the equation of the given line is y = mx + c

This line passes through two points (1, 13) and (-2, 4)

So slope of the line m = $(y-y')/(x-x')$

m = $(13-4)/(1+2)=(9)/(3)=3$

y-intercept of the line is 10

Therefore equation will be y = 3x + 10

Now we take the options one by one.

A. y - 2 = 3(x - 4)

y = 2 + 3x - 12

y = 3x - 10

Option is incorrect because the given line in this option doesn't matches with the equation of the line.

B. y - 4 = 3(x + 2)

y = 4 + 3x + 6

y = 3x + 10

Correct option.

C. y - 1 = 3(x - 13)

y = 1 + 3x - 39

y = 3x - 38

Incorrect option.

D. y - 4 = 3( x- 2 )

y = 4 + 3x - 6

y = 3x - 2

Incorrect option

E. y - 13 = 3(x - 1)

y = 13 + 3x -3

y = 3x + 10

Correct option.

F. y + 2 = 3(x - 4)

y = -2 + 3x - 12

y = 3x - 14

Incorrect option.

Therefore, Options B and E are the correct options.

Answer 2

Answer: We can easily find the slope by using the slope formula when given two points: (-2,4), (1,13) -> (13-4)/(1-(-2)) = 9/3 = 3

Plugging into our point-slope form, we get y-y1 = 3(x-x1), then apply one of the points: y - 4 = 3(x+2)

Therefore B is right.

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The owner of a Farmer’s Market wants to construct a triangular fruit stand in his store. Use the diagram below and the Law of Sines to determine the dimensions of the sides of the fruit stand.A. 3.5 x 6 x 3.8B. 3.5 x 2 x 3..2C. 3.5 x 2.9 x 3.3D. 3.5 x 2.5 x 3.4Please select the best answer from the choices provided
Which equals the product of (x – 3)(2x + 1)?A=2x2 – 7x – 3 B=2x2 – 5x – 3 C=3x – 2 D=6x2
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What is the area of it
4639 nearest thousand please answer fast

Blakemore elementary school has 1,000 students. each of the 15 student council members of Blakemore Elementary School is responsable for telling exactly 2 other students about the upcoming school pep assembly. Each of those 2 is then responsable for telling 2 other students. It takes 15 minutes for each round of students to be told. How many minutes will take for 1,000 students to receive the information about the pep assembly?Minute students total number of students told

0 15 15
15 30 15+30=45
30 60 45+60=105

Answers

It seems like you already have it but you haven't done the work all the way through yet. anyway Here:

Minutes: Students:
45 120
60 240
75 480
90 960
105 1000+

Answer:

end of round1 -- 30 students -- 15 minutes

round2 -- 60 -- 30 min

round3 -- 120 -- 45

round4 -- 240 -- 60

round5 -- 480 -- 75

ruond6 -- 960 -- 90

round7 --1920 -- 105

Step-by-step explanation:

A = {0, 1, 2, 3}
B = {a, b, c, d}
C = {0, a, 2, b}

Find B n C.

Answers

So the n notation means what are in both of them so it would be {a, and B}

The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x) = 0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Answers

For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

What is inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The cost in dollars C(x) = 10 + 0.20x.

The revenue in dollars, R(x) = 0.50x.

For revenue to outpace cost

R(x) > C(x)

0.50x > 10 + 0.20x

0.50x - 0.20x > 10

0.30x > 10

x > 10/0.30

x > 33.333

Hence, For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

Learn more about inequality here:

brainly.com/question/28823603

#SPJ2

For revenue to exceed cost: R(x) > C(x)
0.50x > 10 + 0.20x
0.50x - 0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333

Therefore the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost is 34.

PLEASE HELP!A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Which expression can be used to determine the greatest possible volume of the cardboard box?

A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)

Answers

Answer:

Option B

Step-by-step explanation:

Given is a rectangle with width 7 and length 11.

From each corner of the rectangle a square of length x is cut and foled to make a box

Now for the open box we made, height = x

width = rectangle width - 2 times d

= 11-2x

Length = rectangle length-2x

Hence volume of box

=lwh

= (7-2x)(11-2x)x

Answer: B) $(7-2x)(11-2x)x$

Step-by-step explanation:

Given: The length of the cardboard = 11 in.

The width of the cardboard =7 in.

If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-

Width (w)= $7-2x$

length (l)= $11-2x$

Height (h)= $x$

Now, volume of rectangular box is given by :-

$V=lwh\n\n\Rightarrow\ V=x(7-2x)(11-2x)$

Hence, the expression can be used to determine the greatest possible volume of the cardboard box is given by :-

$(7-2x)(11-2x)x$

At what point (x,y) do the two lines with equations x-2y=5 and 3x-5y=8 intersect?

Answers

$\begin{cases} x-2y=5 \ \ /*(-3)\n 3x-5y=8 \end{cases}\n \n\begin{cases} -3x+6y=-15 \n 3x-5y=8 \end{cases}\n + \ -------\n y=-7\n \nx-2y=5 \n \nx-2*(-7)=5 \n \nx+14=5 \ \ |-14\n \nx=5-14 \n \nx=-9 \n \n \begin{cases}x=-9 \n y=-7 \end{cases} \n \n \nAnswer: \ \ this \ is \ the \ point : \ \ (-9,-7)$