Mathematics High School

which of the following equations represents a line that passes through the points

Answers

Answer 1

Answer:

C) I only

Step-by-step explanation:

( -1, -2) and (0,4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+2)/(0+1)

m=6/1

m=6

Slope-intercept:

y - y1 = m(x - x1)

y + 2 = 6(x + 1)

y + 2 = 6x + 6

y = 6x + 4

y - 16 = 6(x - 2)

y - 16 = 6x - 12

y = 6x + 4

Related Questions

i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7

Answers

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?

Answers

Answer: 56.85

Step-by-step explanation:

So, what you have to do is multiply 15 x 3.79=56.85.

Hellllppp “Jason states that ^ABC = ^RST. Kelley states that ^ABC = ^TSR. Which best describes the accuracy of the congruency statements?

Answers

Answer:

the answer is C

Step-by-step explanation:

i just took the test

Answer:

C. Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Step-by-step explanation:

Right on ED2021

Look at screen shot below

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Answers

Answer:

1st option is the correct answer

if it is exactly 8:00, How long does it take for the hands of the clock to be pointed in the same direction

Answers

8:40

Or 9:00

Wasn’t good in math but good luck

Answer:

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Step-by-step explanation:

So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.

What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.

Answers

583939485933094939392....../

Please hurry!!!! I need answer ASAP!!!!!

David wants to buy a new bicycle
that cost $295 before a 40%
discount. He finds the cost after the
discount, in dollars, by evaluating
295 – 295(0.40). His brother Michael
finds the same cost by evaluating
295(1 – 0.40). What property can be
used to justify that these two
expressions represent the same cost
after the discount?
A. associative property
B. cominutative property
C. distributive property
D. subtraction property of equality

Answers

Answer:

subtraction property for sure its that

Increase 280g in the ratio 5:2

Answers

Answer:

700

Step-by-step explanation:

Therefore, the increase in 280 in the ratio 5:2 is 700

15
Decide whether each expression simplifies to a number less than-1, greater than 1, or
Neither
neither. Mark an X in the correct column for each expression.
Greater than 1
Less than -1
Expression
-7+ (-4)
-(3 ÷ 2)
(-5) ÷ (-3)
(-9) - 6

Answers

Answer:

less than -1

greater than 1

Step-by-step explanation:

[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]

LESS THAN -1

________________________________

[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]

LESS THAN -1

________________________________

[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]

GREATER THAN 1

________________________________

[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]

LESS THAN -1

________________________________

Hello, I gotta turn it turn in this question today, help!!!!!!

Answers

Answer:

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

the cost of a customer smartphone bill can be modeled by the equation c=10g+50

Answers

Answer:

c=10(g+5)

Step-by-step explanation:

Given that,

The cost of customer smartphone bill is given by the equation as follows :

c=10g+50

Where

g is the number of gigabits of data the customer per month

We need to factor this cost polynomial

The common between 10 and 50 is 10

Taking 10 common. So,

c=10(g+5)

Hence, the required factor is equal to c=10(g+5).

plzzz help square paralellogram

Answers

Answer:

1. x=12

2. x=7

Step-by-step explanation:

SOMEONE HELP ME PLS

Find the indicated angle. (What is ?)

Answers

91°
because 48+43 is 91 and all the angles should add up to 180° so the last angle inside is 89°. To find ? You have to realize that it is on a straight line so it has to equal 180° so 180-89=91 so ?=91°

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Answers

Answer:

Yes.

Step-by-step explanation:

If you change nothing but the angle and positioning of the original shape, then it is congruent.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.

Answers

The function rule is f(x) = x - 12 and the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

Completing the function table and write the function rule.

From the question, we have the following parameters that can be used in our computation:

Input(x) Output(y)

32 20

14 2

? −6

-2 -14

-10 ?

The slope is calculated as

m = (2 - 20)/(14 - 32)

m = 1

So, the equation is

y = mx + c

Using the points, we have

1(32) + c = 20

Evaluate

c = -12

So, we have

f(x) = x - 12

Using the above function, we have the following function values

f(-10) = -10 - 12 = -22

x - 12 = -6

x = 6

So, the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

Answers

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances: 2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?

Answers

Answer:

1995

Step-by-step explanation:

Percent of students that get more than 8 hours of sleep = 100 -43 = 57%

Number of students that get more than 8 hours of sleep = 57% x 3500

0.57 x 3500 = 1995 students

A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?

A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance

Answers

Answer: A. Seattle

Steps:
1/4 = 25%

Which is more 25% or 75%?
The answer is 75%

Assuming both predictions are correct, converting the number forms into the same form, we can see that it is equally likely to rain in either city.
Explanation:
Firstly, we're going to assume that both predictions are correct, because, well, they're just predictions. Let's write them down:
Seattle Rain Chance
=
75
%

Tacoma Rain Chance
=
3
4

Now, we can see that both predictions are in different forms: one in the form of percentage, and the other in the form of a fraction. To compare, we could convert one of them... Let's convert the fraction into a percentage. But, how?
Well, what "percent" means is "per hundred". We could multiply the number by
1
, which shouldn't change anything...
... but then convert it to
100
100
(because they both divide out into
1
)...
... and finally, by definition, to
100
%
:
1
=
100
100
=
100
%

Tacoma Rain Chance
=
Tacoma Rain Chance
⋅
1
Tacoma Rain Chance
⋅
1
=
Tacoma Rain Chance
⋅
100
%
Let's evaluate it:
Tacoma Rain Chance
=
3
4
⋅
100
%
=
300
4
%
=
75
%
Now let's compare it to the Seattle rain chance:
Seattle Rain Chance
=
75
%

Whew, they're equal!
Seattle Rain Chance
=
Tacoma Rain Chance
Therefore, with the assumption that both predictions are correct, it is equally likely to rain in either city.

Help please not sure what it can be!

Answers

y=-3x - 3
because if you look at the point (-1,0) it goes up three and left one and the left makes it a negative. and the -3 (b) is the y intercept

Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).

Answers

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

I need this answer as soon as possible and also can u explain it

Answers

Answer:

Step-by-step explanation:

x=5

so x for the gym is 5 and x+3=5+3=8

add 5 and 8 because that is a whole side.

we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30

add the 26 and 30

The perimeter is

25cm
32cm
29cm

Answers

The answer should be 32cm! You just have to add all of the lengths.

Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?

A) 6
B) 18
C) 48
D) 54

Answers

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

pls help me with this problem

Answers

Answer:

Angle A: 90

Angle B: 48

Angle C: 42

Side length A (Hypotinuse): 23.9

SIde length B (Opposite): 17.8

Side length C (Adjacent): 16

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0

A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.

Answers

Answer:

(i) The estimated regression equation is;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X

(ii) The estimated earnings for the company is approximately $4.7096 million

(iii) The standard error of estimate is approximately 29.34

The high standard error of estimate indicates that individual mean do not accurately represent the population mean

(iv) The coefficient of determination is approximately 0.57925

The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]

(i) From the data, we have;

The regression equation can be presented as follows;

[tex]\hat y[/tex] = b₀ + b₁·x

Where;

b₁ = The slope given as follows;

[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]

b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]

From the data, we have;

[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05

[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259

[tex]\overline y[/tex] = 4.2

[tex]\overline x[/tex] = 41.5625

∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005

b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69

Therefore, we have the regression equation as follows;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales

(ii) For the small company, we have;

X = $50.0 million, therefore, we get;

[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096

The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million

(iii) The standard error of estimate, σ, is given by the following formula;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]

Where;

n = The sample size

Therefore, we have;

[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]

The standard error of estimate, σ ≈ 29.34

The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean

(iv) The coefficient of determination (R Square) is given as follows;

[tex]R^2 = \dfrac{SSR}{SST}[/tex]

Where;

SSR = The Sum of Squared Regression ≈ 21.9884

SST = The total variation in the sample ≈ 37.96

Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925

The coefficient of determination, R² ≈ 0.57925.

Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925

Part A
Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet. Storage locker B has a volume of 306 cubic feet. Which storage locker is bigger? Enter the volumes to explain your answer.

Locker ___ is bigger. Locker A has a volume of ___ cubic feet, while Locker B has a volume of 306 cubic feet.

Part B
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot. How much does it cost to rent the largest locker each month?
___$

Answers

Answer:

Part A:

Locker A is bigger. Locker A has a volume of 324 cubic feet.

Part B:

$113.40 each month

Step-by-step explanation:

Part A

Locker A:

V = L(W)(H)

V = 6(6)(9)

V = 324

Part B

324(0.35) = 113.4

Locker A is bigger. Locker A has a volume of 324 cubic feet, while Locker B has a volume of 306 cubic feet.

Monthly rent for 324 cubic feet is $113.40

Calculation of Volume

Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.

Volume of the cuboid is length times width times height

[tex]volume \; of \; locker \; A = lwh\\=6 \cdot 6 \cdot 9\\=324 cubic feet[/tex]

Volume of locker A is 324 cubic feet

Volume locker B is 306 cubic feet.

324 cubic feet is bigger thatn 306 cubic feet.

Locker A is bigger.

The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot.

Monthly rent for locker a is 0.35 per cubic feet.

Monthly rent for 324 cubic feet is [tex]324 \cdot 0.35 =113.4[/tex]

Learn more information about 'Volume ' here

brainly.com/question/22694657

The center of the circle is G. Below is a student's work to find the
value of x. Explain the error and find the correct value of x.

Answers

Answer:

The error are

1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]

2) The assumption that [tex]m \widehat{BC}[/tex] = 90°

The vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'

x = 5

Step-by-step explanation:

From the drawing of the circle, we are given;

AD = A diameter of the circle

∴ [tex]m \widehat{ACD}[/tex] = 180°

By angle addition postulate, we have;

[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]

By substitution property of equality, we have;

180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]

[tex]m \widehat{AB}[/tex] = 5·x°

[tex]m \widehat{BC}[/tex] = Not given

[tex]m \widehat{CD}[/tex] = 15·x°

However;

[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]

∴ [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°

[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°

15·x° = (16·x - 5)°

∴ 5 = 16·x° - 15·x° = x

x = 5

[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)

[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°

[tex]m \widehat{BC}[/tex] = 80°

The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.

Angle Measures and segment lengths. Find x.

Answers

I hope this helps you

8^2=4.(4+x)

64=4.(4+x)

16=4+x

x=12

What is 1 + ( -2/3) - ( -9/2)

Answers

Answer

29/6 or 4 5/6

Step-by-step explanation:

1. Find a common denominator

2. Common denominator is 6 Remember - multiply by a - gives you a positive.

3. Rewrite 6/6 -4/6 +27/6

4. Add the numerators together to get 29

5. Answer is 29/6 or as a mixed number 4 5/6

I WILL NOT ACCEPT LINKS! AND WILL REPORT!!! Please help with this geometry question. An explanation would be nice!

Answers

ON=5.099

Hope it helps

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which of the following equations represents a line that passes through the points​

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which of the following equations represents a line that passes through the points