Identify the slope and y-intercept.

y=2x−8

Enter your answers in the boxes in simplest form.

M=

B=

Answers

Answer 1
The coefficient M of the independent variable x is defined as the slope, while the intercept, B, is the value of the constant added to that quantity. In this case, our slope, M, is 2 and B, our "y-intercept" (so called because y equals this value when x = 0) is -8.

Related Questions

Given this triangle find angle B to the nearest tenth of a degree if b=8 and c=12.

Answers

arcsin(8/12)=arcsin(2/3)=41.8°
the degree of angle B is 41.8°. Hope that helps. 

If a and b are parallel lines and m <3 = 128º, what is the measure of <8?

A) 134º
B) 54º
C) 52º
D) 49º

Image Bellow :-)! thanks in advance! =]

Answers

Final answer:

Given the information that angle 3 is 128 degrees and lines a and b are parallel, angle 8 would also be 128 degrees. But none of the provided options matches 128 degrees, implying missing or incorrect information in the question.

Explanation:

In geometry, if lines are parallel, the corresponding angles are equal. Given that a and b are parallel lines and angle 3 is 128°, if angle 8 corresponds to angle 3, angle 8 would also be 128°. However, the possible values provided don't include 128°. Therefore, there seems to be insufficient information or a mistake in the question to give a definite answer. All possible answers: A) 134º, B) 54º, C) 52º, D) 49º - don't match with 128º. Perhaps there's an intermediary step or piece of information missing.

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A local department store had a Saturday special. It offered an additional 25% discount on shirts that were already marked down 50%. How much did Megan pay for a shirt that originally sold for $40?
A. $10


B. $15


C. $20


D. $30

Answers

The answer should be B
Assuming original means the price before ANY discounts:

40 x (1-0.5)

40x0.5 = 20  [50% dis]

20x (1-0.25)

20(0.75) = "15"


The scientific notation 2 ��� 10^2 has what value? 100

Answers

10^2 = 10 x 10 = 100.

Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture

Answers

The answer would be 35/24 because if you multiply 8 by 6 to get a common denominator, then multiply 3 by 6 to get the numerator for 3/8, then multiply 11 by 8 to get the numerator for 11/6, you get 18/48 and 88/48 which difference is 70/48. 

Answer:

[tex]1\frac{11}{24}[/tex] cup more water than sugar

Step-by-step explanation:

Jalil mixed the number of cups of sugar =  [tex]\frac{3}{8}[/tex]

with the number of cups of water =  [tex]\frac{11}{6}[/tex]

We have to find the additional amount of water that is used in his mixture.

So we will subtract the amount of sugar from the amount of water.

[tex]\frac{11}{6}[/tex] - [tex]\frac{3}{8}[/tex]

= [tex]\frac{44-9}{24}[/tex]

= [tex]\frac{35}{24}[/tex]

= [tex]1\frac{11}{24}[/tex] cup

[tex]1\frac{11}{24}[/tex] cup more water is used in this mixture.

Multiply and reduce to lowest terms? 1. 2 1/7 * 4 3/8 = user: 10 1/4 - 9 5/6 =

Answers

number 1 is 9 3/8

10 1/4-9 5/6 is 5/12 hope it helps

The least common multiple of 20, 24, and 45 is _____.
a) 30
b) 180
c) 360
d) 21,600

Answers

c) 360 
because they can all be multiplied to get 360
20 times 18      24 times 15        45 times 8

Answer:

c)360

Step-by-step explanation:

The least common multiples is the smallest common multiple.

To find the common multiple you have to divide the option given by the numbers: 20, 24, and 45 and result of each operation should be an integer number.

Let's review why answers a) and b) are not common multiple.

Answer a) 30

45 ÷ 30=  1,5 .

1.5 is not integer number ,So, 30 is not multiple of 45.

Answer b)180

180 ÷ 24=  7.5

7.5 is not integer number, So, 180 is not multiple of 24.

c) If you divide 20, 24 and 45 divided 360, the result is an integer.

360÷20=18

360÷24=15

360÷45=8

360 is common multiple of the three numbers. And it is the LCM.

Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve

y=8-x^2 Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve

y=8-x^2

Answers

So here is how we find the answer to this given problem.
The formula for area is: A=(l)(w)
So, A=(2x)(8-x²)
A=16x-2x³
dA/dx = 16-6x²
then you will use calculus to get the absolute local maximum of x by letting dA/dx = 0
then wha you will get is x = 2sqrt(6)/3
so the area would be= 64 * sqrt(6) / 9
or 64√6/9.
Based on the choices given, the answer would be option D. 
Hope this answer helps.
Final answer:

The given curve is a quadratic function and to find the area of a rectangle under it with maximum area, we consider the rectangle's base as an interval on x-axis and find the maximum value using calculus. The maximum area is achieved when x is sqrt(8/3).

Explanation:

To find the largest possible area for a rectangle with its base on the x-axis and upper vertices on the curve y=8-x^2, we would use calculus, specifically optimization.

Consider the base of the rectangle as the interval [-x, x] along the x-axis. Hence, the width of the rectangle would be 2x and the height would be the value of the curve at any x, which is 8-x^2.

Therefore, the area A of the rectangle can be expressed as A = (2x)*(8-x^2) = 16x - 2x^3.

To maximize the area, we take the derivative of A with respect to x, set it equal to zero and solve for x. The derivative is A' = 16 - 6x^2. Setting this to 0, we get 6x^2 = 16 or x = √(8/3).

Substituting x = √(8/3) back into the original equation y = 8 - x^2 will give the maximum height of the rectangle, and hence its maximum area.

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.

Answers

f(x) = x³ + 4 and g(x) = ∛(x - 4)

so, the first thing the question asks of you is to see that f(g(x)) = x. try it out, plugging g(x) in as the x-variable in the first equation:

f(g(x)) = (∛(x - 4))³ + 4

they were merciful in writing this problem, and thankfully your cube roots cancel out and don't cause you any trouble. continue solving:

f(g(x)) = (∛(x - 4))³ + 4  ... cube root and exponent cancel
f(g(x)) = x - 4 + 4  ... simplify
f(g(x)) = x

so, yep. that one worked. try out the second half of the question: g(f(x)) = x

g(f(x)) = ∛((x³ + 4) - 4)  ... simplify inside your radical, cancelling out the 4s
g(f(x)) = ∛(x³)  ... the cube root of x³ is x itself, so:
g(f(x)) = x

and there you are. you've confirmed that these are inverses.

If b = 3, then 3x + y = 1 and bx - y = 3 are parallel.
True or
False ...?

Answers

I am absolutely sure that the task  b = 3, then 3x + y = 1 and bx - y = 3 is NOT parallel, which means that the statement represented above is FALSE.
To make sure you can check it using : [tex]y=-3x+1 y=3x-3 [/tex] Hope now it's obvious. Regards!

Answer:I am absolutely sure that the task  b = 3, then 3x + y = 1 and bx - y = 3 is NOT parallel, which means that the statement represented above is FALSE.

To make sure you can check it using :  Hope now it's obvious. Regards!

Step-by-step explanation:

what is the name of a number that can be written in the form a/b where a and b are integers and b cannot equal zero

Answers

This is a rational number.

49x^2-28x+4=0 find the roots of thr equation by factoring

Answers

Answer:

2/1

Step-by-step explanation:

In a translation, why is it important for every point to move the same direction and same distance?

Answers

A translation is a RIGID TRANSFORMATION meaning it will stay the same shape and size.

The ____ ____ of equality allows you to divide both sides of an equation by the same number.

Answers

Answer: division property

The division property equality states that if you dived both sides of an equation by the same non zero number the equality is not affected.

If a = b, then ac = bc. This is called the ________ ________ of equality. (2 words)

Answers

this is the multiplication property of equality. it multiplies the same number to both sides of an equation.

Which type of triangle will always have exactly 1-fold reflectional symmetry?

Answers

the answer is isosceles triangle


All of the following are equivalent except _____.
4 · y
4 + y
4y
(4)(y)

Answers

The answer is: [B]: 4 + y .
______________________
The rest of the answer choices given are all different ways to express, or are equivalents of, the number "4", multiplied by the variable, "y".
______________________

76 is what percent of 95

Answers

Take 76 over 95, and then multiply by 100% to get your answer.
(76/95) * 100%= 80%
its 80% of 95.

hope this helps you

What linear function can be represented by the set of ordered pairs?
{(−4, 15), (0, 5), (4, −5), (8, −15)}

Answers

I've completed the test:

Final answer:

The linear function represented by the set of ordered pairs is y = -5x + 15.

Explanation:

A linear function can be represented by the set of ordered pairs {(−4, 15), (0, 5), (4, −5), (8, −15)}. To determine the linear function, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we can choose any two ordered pairs to find the slope, which is the change in y divided by the change in x. Let's choose (-4, 15) and (4, -5). The slope (m) can be calculated as (y2 - y1)/(x2 - x1).Substitute the slope (m) and one of the ordered pairs into the equation y = mx + b to find the y-intercept (b). We'll use (4, -5) as our point.Finally, substitute the calculated slope (m) and y-intercept (b) values into the equation y = mx + b to obtain the linear function.

Therefore, the linear function represented by the given set of ordered pairs is y = -5x + 15.

The absolute value of a number is always greater than its opposite. Is this true?
A) No; the absolute value of a negative number is equal to its opposite.
B) No; all negative numbers are greater than their opposites.

Answers

I sugges you to go with this one: A) No; the absolute value of a negative number is equal to its opposite. As it's correct explanation.

The absolute value of a positive number and its opposite is always equal. So the given statement is not true.

Absolute value represents the distance of a point from the origin. The distance of a positive number and its opposite will always be the same from the origin. Consider the following example:

The number is 5. The absolute value of 5 is | 5 | = 5

The opposite of 5 is -5. The absolute value of -5 is |-5| = 5

This shows the absolute value of a number and its opposite will always be equal. For any positive number x, we can write:

| x | = | -x | = x

So, the correct answer is:

A) No; the absolute value of a negative number is equal to its opposite.

if g(x)= 5-x^2 what's g(g(x))

Answers

g(x) = 5 - x^2
g(g(x)) = 5 - (5 - x^2)^2
g(g(x)) = 5 - (5 - x^2)(5 - x^2)
g(g(x))= 5 - (25 - 10x^2 + x^4)
g(g(x))= -x^4 + 10x^2 - 20

Write the scientific notation in numerals.

5.82 x 102

Answers

i think the answer you are looking for is 582
10^2 mean the decimal in 5.82 the decimal is moved two places to the right (positive exponents= right, negative= left) so the answer is 582.0 or just 582 :)

Three charges are arranged in an equilateral triangle with sides of 4 cm. The coordinates and corresponding charge values are as follows: +4q at (-2,0); +2q at (2,0); -q at (0,a). The elementary charge of an electron is given by q = -1.602 x 10^-19 C.

a) Determine the y-coordinate a of the third charge

b) Determine the electric field at the centre of the equilateral triangle

c) Determine the torque that acts on the dipole and the work done to align the dipole depicted in the picture the center of the equilateral triangle with the resulting field at the corner. The dipole exhibits a dipole ...?

Answers

To determine the answer of Part A draw the equilateral triangle and the to determine the coordinates of of the third charge use that triangle.
To calculate the gravitational field strength in part B from each of the charges use the following equation.

E=kcq/r2

If you would add those values then you can use the symmetry about the y axis to make the vector addition a litter easier.

Harold bought two loaves of raisin bread to share with his friends. If there are 12 people total, including Harold, how much bread does each person have? A. 0.06 B. 0.16 THE 6 keeps going

Answers

The answer is (B) 0.16 the 6 keeps going.

1 loaf feeds 6 people so what is 1/6 as a decimal.

0.166666667

The required fraction of bread that each person have is 0.16. Option C is correct.

Given that,
Harold bought two loaves of raisin bread to share with his friends. If there are 12 people total, including Harold, how much bread each person have is to be determined.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total number of loaves of bread = 2
Total number of people = 12
bread, each person can have = 2 / 12 = 0.16


Thus, the required fraction of bread that each person have is 0.16. Option C is correct.

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Which expression is equivalent to 4√32·√2 ?

16

42√42

162√162

32

Answers

The answer to this particular problem is 32.

Answer:

Yep, it's 32

Step-by-step explanation:

How many combinations are there of the five letters j, k, l, m, and n using three letters at a time?

Answers

5 n C r 3 = 10 がんばってね

Answer:

5 n C r 3 = 10 がんばってね

Step-by-step explanation:

がんばってね= Do your best

in 2015, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. At this rate, what would be the population in 2040? Round the the nearest whole number. Enter your answer in the box.

Answers

the answer is 12495, its correct jus took the test. (now u can give the brainliset to the other person) have a nice day :)

23 tens is the same as

Answers

230 ones!! Hopefully i helped Have a great day....and if my answer was best plzz give brainliest plzz!

23 tens is the same as 230.

Given that, 23 tens.

What is the place value?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.  

Here, 23 tens = 23 × 10

= 230

Therefore, 23 tens is the same as 230.

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17=3(g+3)-g.

I also need the math

Answers

Let's solve your equation step-by-step.17=3(g+3)−g
Step 1: Simplify both sides of the equation.17=3(g+3)−g
Simplify: (Show steps)17=2g+9
Step 2: Flip the equation.2g+9=17
Step 3: Subtract 9 from both sides.2g+9−9=17−92g=8
Step 4: Divide both sides by 2.2g2=82g=4
Answer:g=4
do you need it simplified if you do then:

you multiply 3 into the parentheses 17=3(g+3)-g
                                                              17=3g+9-g
then add like terms 17=3g+9-g meaning g
                                          17=3g+9

Haii. If u can help me with these 4 short Qs, thd be great! Ill mark as brainliest who ever helps. ThankU ^~^

Consider the following scenario describing the Cambridge Mall parking lot: The number of wheels in the parking lot is based on the number of cars in the parking lot.

Does this scenario represent a function?

A) Yes, because the number of cars is specific to the number of wheels in the parking lot

B) Yes, because the number of wheels is specific to the number of cars in the parking lot

C) No, because the number of wheels is specific to the number of cars in the parking lot

D) No, because the number of cars is specific to the number of wheels in the parking
lot

#2: Which of the following correctly identifies the set of outputs? (IMAGE BELOW!)

A) {–3, –1, 3, 4}

B) {–5, –2, –1, 4}

C) {(–5, 4), (–2, –1), (–1, 3), (4, –3)}

D) {(4, –5), (–1, –2), (3, –1), (4, –3)}

#3: Which of the following best defines an input?

A) An input is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

B) An input is a special type of relation for which there is a rule that pairs each input with exactly one output.

C) An input is a set of ordered pairs in which no y-value repeats.

D) An input is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

#4: Given the relation y = 3x2 + 1, if the input is 4, what is the output?

A) 13

B) 48

C) 49

D) 145

Answers

1.) B
2.) C
3.) D
4.) can you rewrite the question?

Answer:

1. The number of wheels in the parking lot is based on the number of cars in the parking lot.

B) Yes, because the number of wheels is specific to the number of cars in the parking lot. Because each car has four wheels. So, the wheels are  dependent on cars.

2. We can see the dots on each axis. These are like :

C) {(–5, 4), (–2, –1), (–1, 3), (4, –3)}

3. D) An input is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph. For each input there is an output.

4. The expression is :

[tex]y=3x^{2} +1[/tex]

When input or x = 4

So, [tex]y=3(4)^{2} +1[/tex]

=>[tex]y=(3\times16) +1[/tex]

=[tex]y=48+1[/tex]

=> [tex]y=49[/tex] (option C)

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