Mathematics High School

Find the equation of the line shown.

Answers

Answer 1

Answer:

4y + x = 8

Step-by-step explanation:

firstly, we choose any 2 points on the line

point 1 = (0,2)

point 2 = (4,1)

x1 = 0, x2 = 4

y1 = 2, y2 = 1

from,

[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]

[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]

[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]

Cross multiplying,

-1(x) = 4(y - 2)

-x = 4y - 8

4y + x = 8

Related Questions

Which are equivalent equations? Select two correct answers.

d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1

Answers

Answer:

B and D if not sorry

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.

Answers

Part A:

A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.

A composite function is created by plugging one function into another.

Part B:

The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.

Part C:

Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.

oof that took a while lol

Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *

Answers

Answer:

No they are not equivalent,

Step-by-step explanation:

3 x 6 is 18 and 5 x 6 is 30, not 32 so it is non-equivalent

THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10

Answers

Answer:

x = 0.333...(repeating or .34 if u round)

Step-by-step explanation:

add 4x and 2x= 6x

20- 12 = 8

6x + 8 = 10

-8 -8

6x = 2

6 6

x = 0.333...(repeating or .34 if u round)

Which inequalities have the solution set graphed on the
number line? Check all that apply.
O x2 -1.5
Oxs -1.5
D -1.5 SX
D -1.5 2 x
Oxs -2.5
O x 25
25 2x

Answers

Answer:

B,C

Step-by-step explanation:

1
Which of the following represents a
fraction that converts to a repeating
decimal with a value less than one?
A) 1/2
B) 4/3
C) 9/10
D) 479

Answers

Answer:

479

Step-by-step explanation:

It’s D Have Ah Good Day

unit 1 test algebra 2

Answers

6) (-7,4) D or (4)

7) -7,0,5 A or (1)

8) 3x +5 C or (3)

9) 2 B or (2)

6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

8а +а – 3 = 6а – 2а - 3

Answers

Answer:

a=0

Step-by-step explanation:

Answer: a=0

Step-by-step explanation:

8a+a−3=6a−2a−3

Step 1: Simplify both sides of the equation.

8a+a−3=6a−2a−3

8a+a+−3=6a+−2a+−3

(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)

9a+−3=4a+−3

9a−3=4a−3

Step 2: Subtract 4a from both sides.

9a−3−4a=4a−3−4a

5a−3=−3

Step 3: Add 3 to both sides.

5a−3+3=−3+3

5a=0

Step 4: Divide both sides by 5.

5a /5= 0/5

Answer: a=0

(hope that was helpful )

this is pretty easy

two step equation!!

Answers

Answer:

Step 1: Simplify both sides of the equation.

−8=−4

z+−8=−4

z−8=−4

Step 2: Add 8 to both sides.

z−8+8=−4+8

z=4

Step 3: Multiply both sides by 3.

3*(

z)=(3)*(4)

z=12

Answer:

z=12

Step-by-step explanation:

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

because if you divide what you said its will have a sum

can someone answer this

Answers

Answer: It's obviously D.

Step-by-step explanation:

I think it’s C because there’s no value so it would be a variable

Find the slope between (9,-2) and (-1,5)

Answers

Answer:

7/-10

Step-by-step explanation:

subtract

5-(-2) = 7

-1-9 = -10

Answer:

The slope is -0.7 or -7/10

Step-by-step explanation:

For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7

I hope that this helps! :)

I need help with this question ASAP

Answers

It would be the first, third, fifth, and sixth one
.
Hope this helps :)

I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it

Answers

Answer:

OOF

Step-by-step explanation:

Answer: i don't actually know, sorry but i need to get my points so i'm typing this.

Step-by-step explanation: none

5 stars and a thank you

Answers

Answer:

Step-by-step explanation:

Identify the constant of proportionality from the graph.
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11
O A. 3
B. 6
O D. 9

Answers

Answer:

Step-by-step explanation:

9 is the constant of proportionality

Have a great day

The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?

Answers

Step-by-step explanation:

5:2 add to find total ratios 7

opponents=2/7=38

bigtown=5/7=95

Answer: The big town team scored 95 points.

Step-by-step explanation: Given that the big town football team outscored its opponents 5:2 last season and their opponents scored 38 points.

We are to find the points scored by big town team.

Let 5x and 2x represents the points scored by big town team and their opponents.

Then, according to the given information, we have

2r = 38

r = 38/2

r = 19

Therefore, the points scored by big town team is given by

5 X 19 = 95.

Thus, the big town team scored 95 points.

Help me plzplzplzplz1

Answers

Answer:

The answer is 400 when you round it off to the nearest hundred.

Please help I don’t get it

Answers

Answer:

the answer is y= 3/4x+2

Step-by-step explanation:

the y intercept is your constant term, which is 2. Your slope is how much the line is incresing with every x. Hope this helped xxx

Y-y1 = m(X-x1)

Y-2 = -3/4 (X-0)

Y-2 = -3/4x

Y = -3/4x + 2

please help me thanks .

Answers

Answer:

3 and 3/4

Step-by-step explanation:

Answer:

121.5 :) hope this helped

So how are 1/2 and 4/8 Similar?

Answers

Answer:They both equal 1 half

Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5

Answer:

1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.

What is the probability that Tara will select a blue marble from each bag?

Answers

Answer:

The first bag, 1 in 3 and the second, 2 in 9.

Step-by-step explanation:

If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!

Answer:

2/27

Step-by-step explanation:2/27

Which fraction is equal to the decimal 0.137?

Answers

Answer:

137/1000

Step-by-step explanation:

Answer:

137/1000 also 13.7 percent

Step-by-step explanation:

Julio pald 1.2 times his normal hourly rate for each hour he works over 30 hours a week Last week he worked 43 hours and earned $574.56

Answers

Answer:

482.70

Step-by-step explanation:

First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.

Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour

Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.

⚠️ PLEASE I WANNA FINISH

Answers

Answer:

m = 0.666667*x+1 is the answer

Step-by-step explanation:

tan y+cot y= sec y x csc y
prove the identity
(y is the variable)

Answers

Answer:

Step-by-step explanation:

tany+coty =

[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·

[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]

[tex]\frac{1}{cosysiny}[/tex]

[tex](secy) (cscy)[/tex]

use the slope-intercept form to graph y=3/5x-3

Answers

Answer:

Step-by-step explanation:

what is 10m-2?
Variables are really hard for me so if anyone can help me with this problem that would be really great

Answers

Answer:

tytyty

Step-by-step explanation:

Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.

Answers

Answer:

Step-by-step explanation:

152/8

There will be 19 tables because you do 152 divided by 8

0x + 8 = 5x - 3 What is X?

Answers

Answer:

x= 11/5 OR 2.2

Step-by-step explanation:

Answer: x= 2.2

Step-by-step explanation:

0x+8=5x-3

+3 +3

0x+11=5x

5 5 5

x=2.2

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