Mathematics College

Work out the equation of the line which has a gradient of 1/2 and
passes through the point (4, -2).​

Answers

Answer 1

9514 1404 393

Answer:

  y = 1/2x - 4

Step-by-step explanation:

The point-slope form of the equation for a line is a useful starting place when slope and point are given.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -(-2) = 1/2(x -4) . . . . line with slope 1/2 through point (4, -2)

  y = 1/2x - 4 . . . . . . . . eliminate parentheses, subtract 2

Related Questions

Christina has trays of cookies for students in her class. Each tray has 6 cookies.
Two of the cookies are Oreos. What fraction of the cookies in 4 trays are Oreos?


Please help me :(

Answers

Answer:

1/12

Step-by-step explanation:

4x6=24

2/24=1/12

Solve the system of equations by graphing. -x+y = -2 y = -1​

Answers

Answer:

the solution is (9, -1).

Step-by-step explanation:

graph the two equations on a graphing calculator (i use a website called desmos) and the point of intersection is the solution.

i hope this helps! have a great day <3

prove that sin x + cos x the whole square is equal to 1 + sin 2x​

Answers

THE ANS IS 1+sin2x

Step-by-step explanation:

This result follows almost directly from the following:

How many boxes did Lamar sell?
How many boxes did Jina sell?

Answers

Where’s the question??

18h 19min 26s
+ 25h 45min 48s

Answers

Answer:

2 days 5 minuts 14 seconds

Step-by-step explanation:

 1 1   1 1    1

 18   19   26

+25  45  48

1 24   05  14

Which function shows a positive rate of change?

Answers

Answer: C

Step-by-step explanation:

C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.

The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.

Answers

Answer:

7.7%

Step-by-step explanation:

Given that,

The price of oil decreased from $52 per barrel to $48 per barrel.

We need to find the percentage decrease in the price of oil. It can be calculated as follows :

[tex]\%=\dfrac{52-48}{52}\times 100\\\\=7.69\%[/tex]

or

= 7.7%

So, the percentage decrease in the price of oil is 7.7%.

Answer:7.7%

Step-by-step explanation:

What is the value of 15x - 20x?

A. -35x
B. -5x
C. 5x
D. 35x

Answers

Answer:

Step-by-step explanation:

15x - 20x = -5x

answer is B

Answer:

Its b

Step-by-step explanation:

Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially.
a)
Write an equation that models this situation.
b)
How much radioactive substance is remaining after 12 days?
c)
Find the time when there will be 1g of the substance remaining.

Answers

Answer:

a)   10(5g + 2r)   weight loss over time

b)   20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50)  or  5(5 + g) = 30g

c) 30g = 12 days = 3/5   therefore 5/5 -3/5 = 2/5  = 2/5 x 50 (g) = 20g in 8 days lost

8/20 = 0.4  loss each day 50g - 0.8g = 20-2 = 18 days.

Step-by-step explanation:

factor the expression by grouping: ax+ay+az+3x+3y+3z

please answer fast

Answers

Answer:

(x+y+z)(a+3)

Step-by-step explanation:

ax+ay+az+3x+3y+3z

=(ax+ay+az)+(3x+3y+3z)

=a(x+y+z)+3(x+y+z)

=(x+y+z)(a+3)

Verify that f and g are inverses functions using composition , show your steps

Answers

Answer:

See explanations below

Step-by-step explanation:

Given the functions

f(x) = 12x - 12

g(x) = x/12 - 1

To show they are inverses, we, must show that f(g(x)) = g(f(x))

f(g(x)) = f(x/12 - 1)

Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

f(g(x)) =  x-1 - 1

f(g(x)) =x - 2

Similarly for g(f(x))

g(f(x)) = g(12x-12)

g(f(x)) =(12x-12)/12 - 1

12(x-1)/12 - 1

x-1 - 1

x - 2

Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other

In order to pay for his expenses, Chuck needs to earn $2400 at least every
month. When Chuck works overtime, he earns $3000 per month. If the
variable e stands for the amount of money Chuck has left after paying for his
expenses every month, which of the following choices is the most reasonable
value for e when he works overtime?

A. $120
B. $1200
C. $600
D. $5400

Answers

Answer:

5400

Step-by-step explanation:

2400+3000

1over 4 power negative 5

Answers

Answer:

4 to the 5th power (4^5)

What is the product?

213 × 314

Answers

Answer:

66882

Step-by-step explanation:

Answer:

product

Step-by-step explanation:

213×314=66,882

If Q is the midpoint between P and R, PQ = 3x + 2 and QR = 7x - 18, find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Since Q is the midpoint of PR,

PQ = QR

=> 3x + 2 = 7x - 18

=> 3x - 7x = -18 - 2

=> -4x = -20

=> x = -20/-4

=> x = 5

Hope it helps :)

Please mark my answer as the brainliest

ax² + ax, a x2 + a²x​

Answers

Answer:

ax(x+1)

ax(x+a)

Step-by-step explanation:

ax² + ax

= ax(x+1)

ax² + a²x

= ax(x+a)

hope it helps ☺️

s - k + x; when s = 7, k = 4, x = 6


what does this mean someone help quick

Answers

Answer:

you just plug in those numbers... 7-4+6 = 9

What is the answer to the question?

Answers

Answer:

exponential function i think

Step-by-step explanation:

what is the slope of (4,8) and (10,7)

Answers

Answer:

The answer is -1 / 6

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1 = m

7 - 8 / 10 - 4 = -1 / 6

The slope of (4,8) and. (10,7)

A:-1/6

A DVD originally costs $16. The discounted price is $12. What is the
percent change?

25% increase
25% decrease
18.75% increase
18.75% decrease

Which one of those answers?
And explain?

Answers

Answer:

The answer to your question is 25% decrease.

Answer:

25% decrease

25% of 16 is 4

Make it brainliest and give it heart ty

#CarryOnLearning

Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.

Answers

Answer:

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

Step-by-step explanation:

From the picture attached,

Coordinates of the vertices of the given triangle,

U → (2, 7)

V → (10. 7)

W → (2, 3)

Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,

P(x, y) → P'(-y, x)

Here point P is the preimage and P' is the image point after rotation.

By this rule,

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

1. Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get

Answers

Answer:

Each friend will get 5/8 (excluding Rita)

Each person will get 15/28 (including Rita)

Step-by-step explanation:

You must simply divide 3 3/4 ÷ 6 (excluding Rita)

You must simply divide 3 3/4 ÷ 7 (including Rita)

5/8 cups

You divide 3 3/4 by 6 so

3.75/6 = 0.625

Then make that back into a fraction
0.625= 5/8

There’s a different way where you keep it a fraction but it takes longer so here you go I hope it helps some.

Maliha thinks of a number x write an expression for the number Maliha gets when she multiples the number by 3

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3x = y

Step-by-step explanation:

13,406,109 pennis into dollars

Answers

Answer:

$134,061.09

Step-by-step explanation:

hope this helps

Answer:

134,061.09

Step-by-step explanation:

Divide 13,409,109 by 100

$134,061.09

This can also be expressed as 134, 061 dollars, and 9 pennies.

Use basic facts and place value to find the quotient.
450 • 9 =
Your answer

Answers

Answer is 50 because if you going divide by 9 and also you can factor it with 5 also.

I need help fast I appreciate it

Answers

25.4 is the answer ! Happy to help

A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB

Answers

Answer:

Step-by-step explanation:

I will assume that the scale factor is 2.5

A'(-5,2.5)   True

AB || A'B'   True

?? What does ABAB" mean?

A'B' is an enlargement of AB   True

HELP ASAPPPPP I WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Count all writing utensils which is 16, then jus count the number of pencils

Answer:

5:16 because she has 5 pencils and a total of 16 writing utensils

Step-by-step explanation:

A curve has equation y=2/x square root what is dy/dx

Answers

Answer:

dee y by dee x

Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐

Answer: (The answer is in the image below. Had to write it instead of type it.)

Step-by-step explanation: Differentiate each term with respect to x, then solve for y'.

I hope this helps you out!

if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b​

Answers

Answer:

(a - √b​)

Step-by-step explanation:

Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)

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Try not to scratch it, she said, thatll just make it worse. Dont you have something you can put on it? Come into my bathroom, and Ill put some lotion on it, she said. The lotion helped a little; at least Curtis didnt feel like he wanted to scratch his face off. What do you think it is? he asked his mother. Well, it looks like something bit you, she said, maybe a spider. In my bed? he asked and shivered involuntarily. Maybe, but werent you and Trevor playing in the woods yesterday? she asked. Thats right, we were, but nothing bit me. She turned his face to get a better look. Whether it was in the woods or in your bed, something definitely bit you right there on your cheekbone, she said. I can see the mark clearly in this light. Were going to have to take you to the clinic. But I have school today, and I havent missed school all year. Cant I go to the school nurse? I think the lotion is really working, he added hurriedly. 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