Find the equation of the line described below. Write the equation in slope-intercept form, if possible, and graph the line. Contains (1,2) slope=3

Answers

Answer 1

Answer:

The equation of the line is  y = 3x - 1

Step-by-step explanation:

In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.

Mathematically, the slope-intercept form of a line can be written as;

y = mx + c

where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C

To get this, we plug the values in the question into the equation of the straight line.

Here, we say y = 2, x = 1 and m = 3

2 = 3(1) + c

c = 2-3

c = -1

Thus, the equation of the line is  y = 3x - 1


Related Questions

What is P versus NP.

Answers

Answer:

Hope this helps...

Step-by-step explanation:

P stands for polynomial time. NP stands for non-deterministic polynomial time. Definitions: Polynomial time means that the complexity of the algorithm is O(n^k), where n is the size of your data (e. g. number of elements in a list to be sorted), and k is a constant.

Now, a German man named Norbert Blum has claimed to have solved the above riddle, which is properly known as the P vs NP problem.

Answer:

The P versus NP is a famous unsolved problem in computer science.

It questions that if every problem whose solution can be rapidly verified can also be solved in limited time.

Hope this helps!

:)

find the value of the variable in the equation 1/2(x+8)-15=-3

Answers

Step-by-step explanation:

1/2x + 4 - 15 = - 3

1/2x - 11 = - 3

1/2x = - 3 + 11

1/2x = 8

x = 8-1/2

x = 7.5

The volume of a cube is 460cm3.
Work out the length of its side rounded to 1 DP.

Answers

The side length is the cube root of 460.

cube root(460) = 460^(1/3)
That's approximately 7.7

Anya is making throw pillows and is choosing the type of filling and type of fabric pattern. Complete each statement below about the pillow options.

Answers

Answeer:4 for thr first question

Then 4 for the second and the last question is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2. Find the mean, median, mode and range of the following numbers.
9, 16, 18, 16, 18, 20, 18, 12, 18, 10, 19, 18

Answers

Answer:

mean-175.5

median-18

mode-18

range-11

Step-by-step explanation:

Answer:

(mean 175.5) (median 18) (mode 18) (range 11)

Step-by-step explanation:

If you help me get this right i will give you brainly, and 5 stars!

Answers

Answer:

Column A: Domain: B: -6, -3, -2, 0, 2, 3, 5, 8

Column A: Range: A: -2, -1, 9, 2, 3

Step-by-step explanation:

We can derive these answers by looking at the x and y values of each dot. The Domain is represented by the x values, and the Range is represented by the y values.

The answers chosen contain the x and y values that the graph represents.

How long would it take to travel 6000 km if
the average speed for the trip is 75 km/h?

Answers

Answer:

80

Step-by-step explanation:

rusher

Answer:

80 hours

Step-by-step explanation:

speed = distance / time

time = distance / speed = 6000/ 75 = 80

ella writes about 6 songs every 3 months. at this rate, how many songs could she write in 30 months

Answers

Answer:

60

Step-by-step explanation:

Divide 6 by 3 = 2 songs per month

times it by 30 (months) = 60 songs per 30 months

Evaluate the expression x3+x2 for x=4

Answers

Final answer:

To evaluate the expression x^3 + x^2 for x=4, you substitute 4 into the equation, resulting in 4^3 + 4^2, which is 64 + 16, equalling 80.

Explanation:

The question asks to evaluate the expression x^3 + x^2 for x=4. To do this, we simply substitute 4 into the expression.

First, calculate 4 to the power of 3 (4^3), which is 64. Next, calculate 4 to the power of 2 (4^2), which is 16. Finally, add these two results together: 64 + 16 = 80.

Therefore, x^3 + x^2 evaluated for x=4 is 80.

Final answer:

To evaluate the expression x^3 + x^2 for x=4, substitute the value of x into the expression, resulting in 4^3 + 4^2, which simplifies to 64 + 16, and the final answer is 80.

Explanation:

To evaluate the expression x^3 + x^2 for x=4, we need to substitute the value of x into the expression and simplify it. Firstly, we calculate x to the power of 3, which is 4^3, and x to the power of 2, which is 4^2.

4^3 = 4 × 4 × 4 = 64

4^2 = 4 × 4 = 16

Now, we add the results together:

64 (which is 4^3) + 16 (which is 4^2) = 80

Therefore, when we evaluate the expression for x=4, the result is 80.

Please help me... Question is in the picture.

Answers

Answer:

A) 32 4/5 divided by 8 1/5

B)  4

Step-by-step explanation:

HELP FAST PLZ


At what rate did the rain fall?​

Answers

At 1 hour, 2 cm of rain fell, so 2 cm/hour.
Change in y / change in x

Answer:

2cm ever hour or 1 every 1/2hour

a(n)=-6-4(n-1) find the 4th term in the sequence.​

Answers

Answer:

i dont know teeheeee

Step-by-step explanation:

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 8 meters cubed. Yolanda found the volume of the sphere.


Her work is shown below.


V = four-thirds (8) cubed.

V = four-thirds (512).

V = StartFraction 2,048 Over 3 EndFraction meters cubed.


What is Yolanda’s error?

A) Yolanda should have found the volume by multiplying 8 by Two-thirds.

B) Yolanda should have found the volume by multiplying 8 by Four-thirds.

C) Yolanda should have found the volume with the formula V = two-thirds pi (8) cubed.

D) Yolanda should have found the volume with the formula V = two-thirds (8) cubed.

Answers

The correct answer is B) Yolanda should have found the volume by multiplying 8 by Four-thirds.

Yolanda incorrectly used the formula for volume of a sphere instead of the correct formula. The volume of a sphere is V = (4/3)πr³, not V = four-thirds(8) cubed.

By using the correct formula, Yolanda should have multiplied 8 by four-thirds to find the volume of the sphere, resulting in a different value.

Cesar had a part-time job last year. He worked every week for the year and made $23 an hour. He worked 28 hours each week. Cesar saved what was left of his earnings after paying all of his monthly expenses. At the end of the year, he had saved $3,360. What were Cesar’s average monthly expenses, rounded to the nearest dollar?
A. $1,288
B. $1,680
C. $2,403
D. $2,511
E. $2,791

Answers

Answer:

D. $2,511

Step-by-step explanation:

First off, we need to write down the facts we know.

There are about 52.177 weeks in a year

Cesar works 28 hours each week

Cesar makes $23 an hour

There are 12 months in a year

Cesar has $3,360 after his monthly expenses

To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses.

Cesar's average monthly expenses, rounded to the nearest dollar, were $2,511.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Cesar worked every week for the year, which is 52 weeks.

Therefore,

He worked a total of 52 x 28 = 1,456 hours.

If he made $23 an hour, then his total earnings for the year would be

1,456 x $23 = $33,488.

If he saved $3,360 after paying all of his monthly expenses, then his total expenses for the year would be:

$33,488 - $3,360 = $30,128

To find his average monthly expenses, we can divide his total expenses for the year by 12:

= $30,128 ÷ 12

= $2,510.67

Rounding this to the nearest dollar, we get an answer of $2,511

Therefore,

Cesar's average monthly expenses, rounded to the nearest dollar, were $2,511.

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need help !! 25 points ​

Answers

Answer:

B

Step-by-step explanation:

find the sum of (x+4) and (3x+2)

Answers

Answer:

4x  +6

Step-by-step explanation:

(x+4) + (3x+2)

Combine like terms

x+3x   +4+2

4x  +6

Final answer:

To find the sum of the expressions (x+4) and (3x+2), one combines like terms. The sum of the x terms, 1x and 3x, is 4x and the sum of the constants, 4 and 2, is 6. Hence, the sum of the given expressions is 4x + 6.

Explanation:

To find the sum of two expressions, (x+4) and (3x+2), we need to follow a process known as combining like terms. In arithmetic and algebra, 'like terms' are terms that have the same variables and powers. In this case, the 'like terms' are x in (x+4) and 3x in (3x+2).

Adding these two expressions, we get:

(x + 4) + (3x + 2)

To combine like terms, we add the coefficients of the x terms together (1x and 3x) and we add the constants together (4 and 2).

Sum of x terms: x + 3x = 4x

Sum of constants: 4 + 2 = 6

So, the sum of (x + 4) and (3x + 2) is 4x + 6.

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One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find the length of the longer side of the rectangle

Answers

Answer:

Step-by-step explanation:

Let one of the side = x

So, other side = x - 2

Area = 360 sq.m

x*(x - 2) = 360

x*x - x * 2 = 360

x² - 2x -360 = 0

x² + 18x - 20x  - 18*20 = 0

x(x +18) - 20*(x + 18 ) = 0

(x + 18)(x -20) = 0

{x + 18 is ignored as measurement will not be a negative number}

x - 20 = 0

x = 20

Length of the longer side = 20 m

If a= -3 and b = 4 then the value of 5a^2b is ?

Answers

Answer:

-45*4=-180

Step-by-step explanation:

1.
The two right cylinders are congruent. What is their height?
4.6 m
V = 148.121 m

Answers

Answer:

7 meters

Step-by-step explanation:

The cylinders are congruent, so they both have a radius of 4.6 m and a volume of 148.12π m³.

Volume of a cylinder is:

V = πr²h

Plugging in values and solving for h:

148.12π = π (4.6)² h

h = 7

Find the area of kite ABCD *
Captionless Image
22 sq cm
36 sq cm
72 sq cm
386 sq cm
None of the above

Answers

Answer:

36 sq cm

Step-by-step explanation:

area of kite = diagonal1 * diagonal2/2

area = 18 cm * 4 cm / 2

area = 72 sq cm/2

area = 36 sq cm

Use the divisibility rules to determine which of the following numbers 504 is divisible by. (Check all that apply.)


2
3
5
7
11

Answers

2 3 7 pls mark brainliest

The number 504 is divisible by 2, 3, and 7 using the divisibility rules. It is not divisible by 5 as it does not end in 0 or 5, and not by 11 as the difference between the sum of alternating digits is not a multiple of 11.

To determine which numbers 504 is divisible by using the divisibility rules, we can examine each option provided:

2: A number is divisible by 2 if it is even, that is, if its last digit is 0, 2, 4, 6, or 8. Since 504 ends with a 4, it is divisible by 2.

3: A number is divisible by 3 if the sum of its digits is a multiple of 3. For 504, the sum of its digits is 5 + 0 + 4 = 9, which is a multiple of 3, so 504 is divisible by 3.

5: A number is divisible by 5 if its last digit is 0 or 5. Since 504 ends with a 4, it is not divisible by 5.

7: To determine divisibility by 7, there isn't a simple rule like there is for 2 or 5. However, through manual calculation or knowledge, we can confirm 504 is 7 times 72, and therefore, it is divisible by 7.

11: A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is a multiple of 11 or 0. For 504, (5 - 0 + 4) = 9 which is not a multiple of 11, so 504 is not divisible by 11.

In conclusion, 504 is divisible by 2, 3, and 7.

24. One card from a deck of cards is
selected, it is replaced, and another card is
chosen. What is the probability that the first
card is a black card and the second is a red
card?

Answers

Answer:

0.25

Step-by-step explanation:

1/2 the cards are red and 1/2 are black so it is 0.5 x 0.5

The probability that the first card drawn is a black card and the second is a red card, with replacement, is 1/4 or 25%.

In probability, when we talk about selecting cards with replacements from a deck, the chances of any single card being drawn remain constant regardless of previous draws. A standard deck of cards has 26 black cards and 26 red cards. The probability of drawing a black card is P(Black) = 26/52, and similarly, the probability of drawing a red card is P(Red) = 26/52. When we draw one card, replace it, and then draw again, the outcomes are independent since the replacement restores the deck to its initial state.

The probability of the first card being black and the second card being red is the product of the individual probabilities of each event:

P(Black then Red) = P(Black) times P(Red)P(Black then Red) = (26/52) times (26/52) = 1/2 times 1/2P(Black then Red) = 1/4

Therefore, the probability that the first card drawn is black and the second is a red card is 1/4 or 25%.

The graph of a logarithmic function is shown below.

On a coordinate plane, a curve starts in quadrant 3 and curves up into the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.

What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers

Answers

Answer:

a

Step-by-step explanation:

x>-2

so im really confused by this and could use some help.

Gorilla Weight (pounds) Plugged into 2b - 15 = 605 True or False? Sophia 318 George 417 Nancy 310 Hank 136 Paula 62 Gavin 24 2b- 15 =605.

Answers

Answer:

Nancy fits the equation.

Step-by-step explanation:

I think they're asking which gorilla fits the equation.

2b - 15 = 605

Add 15 to both sides

2b=620

Divide both sides by 2

b=310

The only gorilla who weighs 310 pounds is Nancy.

Answer:

Nancy

Step-by-step explanation:

Un automovilista conduce hacia el norte durante 35.0 minutos a 23.61 m/s y ¿Cuál es su desplazamiento?

Answers

I don’t I thought this is math

PQRS is a rhombus. The diagonals PR and QS bisect each other at a point O such that PR=24cm and
QS=10cm. Find the perimeter of the rhombus.

Answers

Answer:

68 cm

Step-by-step explanation:

creates 4 "5,12,17" triangles. so multiply 17 by 4 to get 68.

Help pls
Slope from graph

Answers

Answer:

The slope is -1/3

This answer is L-1/3

y 5 0,5x² & 6x = 3
How many x-intercepts does the graph of this
quadratic have?
Two x-intercepts
One x-intercept
No x Intercepts

Answers

Answer:

A.)

Two x-intercepts

Step-by-step explanation:

Final answer:

This question pertains to determining the number of x-intercepts a given quadratic equation has. To solve this, the discriminant of the quadratic equation would need to be calculated, which subsequently determines the number of x-intercepts (if repeated D>0 equals two, D=0 equals one and D<0 means none). The exact number for this specific equation could not be calculated due to an unclear part in the question.

Explanation:

The equation y = 0.5x^2 -6x + 3 is an equation of a quadratic function. The x-intercepts of this function can be found by setting y to 0 and solving the equation for x. A quadratic equation, however, can have two, one, or no x-intercepts, depending on its discriminant (D). The discriminant is found with the equation D = b^2 - 4ac from the general form of a quadratic equation which is ax^2+bx+c = 0. If D > 0 the quadratic has two x intercepts, if D = 0 then it has exactly one and if D < 0 it has none.

For our equation (0,5x^2-6x+3), the discriminant (D) could be calculated as: D = (6)^2 - 4*(0,5)*3. After this calculation, we could determine the number of x-intercepts but since this is not fully clarified in the question, we can't provide a definite answer.

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Which of these is an odd function?

Question 11 options:

f(x) =3x2+7

f(x) =2x3+x

f(x) =5x2−6

f(x) =4x3+2x2

Answers

Answer:

[tex]f(x)=2x^3+x[/tex]

Step-by-step explanation:

An odd function f is one where [tex]f(-x)=-f(x)[/tex]. We can interpret this is meaning: reflecting the graph horizontally [tex]f(-x)[/tex] has the same effect as reflecting it vertically [tex]-f(x)[/tex] . The only graphs that meet this requirement are ones with reflectional symmetry across the line y = x, so we can immediately elimate the functions [tex]f(x)=3x^2+7[/tex] and [tex]f(x)=5x^2-6[/tex], which have horizontal symmetry, but not the kind of symmetry we're looking for.

That leaves us with [tex]f(x)=2x^3+x[/tex] and [tex]f(x)=4x^3+2x^2[/tex]. One feature of exponents we can utilize is that -1 to an even power is 1, while -1 to an odd power is -1. If we want [tex]f(-x)=-f(x)[/tex], we need to flip the signs of all the coefficients, and we can only do that if all the powers of x are odd. The only function with only odd powers of x is [tex]f(x)=2x^3+x[/tex], and plugging in -x to the function reveals that

[tex]f(-x)=2(-x)^3+(-x)\\f(-x)=-2x^3-x=-(2x^3+x)=-f(x)[/tex]

So [tex]f(x)=2x^3+x[/tex] the only odd function on the list!

How much heat is required to raise the
temperature of 0.765 kg of mercury by 42 °C?

Answers

Answer:

4048.38 J

Explanation:

By using the formula Q=mcΔT

Q = 0.765 × 126 × 42

= 4048.38 J

The quantity of heat required to raise the  temperature is 4048.38 Joules.

Given the following data:

Temperature = 42.0°C  Mass of mercury = 0.765 kg

We know that the specific heat capacity of mercury is 126 J/kg°C.

To find how much heat is required to raise the  temperature:

Mathematically, heat capacity or quantity of heat is given by the formula;

[tex]Q = mc\theta[/tex]

Where:

Q represents the heat capacity or quantity of heat. m represents the mass of an object. c represents the specific heat capacity. ∅ represents the temperature.

Substituting into the formula, we have:

[tex]Q = 0.765[/tex] × [tex]126[/tex] × [tex]42[/tex]

Quantity of heat, Q = 4048.38 Joules

Therefore, the quantity of heat required to raise the  temperature is 4048.38 Joules.

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