Write the equation of the line in slope-intercept form that goes through the points: (2,4) and (7,-1)

Answers

Answer 1

Answer:

y= -x+8

Step-by-step explanation:

slope int. form: y=mx+b

first, we need to find the slope (m)

the two points are (2,4) and (7,-1).

to find the slope we do (y2-y1)/(x2-x1)

doing this we get -5/5=-1

now we can plug in point (2,4) and the slope into y=mx+b

doing this we get:

4=-1(2)+b

4=-2+b

b=8

now we have the equation:

y= -x+8

Answer 2
Yes what the person above me said it’s probably right they sound like they know what they r doing

Related Questions

jOE TRAVEL TO SCHOOL ON A BUS. ON ANY DAY THE PROBABILITY THAT HE MISSES THE BUS IS 1/3. WHAT IS THE PROBABILITY THAT HE WILL MISS THE BUS ON TWO CONSECUTIVE DAYS AND THE PROBABILITY THAT HE WILL MISS THE BUS ON ONE DAY OUT OF TWO CONSECUTIVE DAYS

Answers

Answer:

1/6 of 2 dayas an 1/3 on 1 day

Step-by-step explanation:

A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.

6 percent of 38 0.6 times 38 = 22.8

Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.

Answers

Answer: Than did not use 0.06 for 6 percent.

Step-by-step explanation:

From the question, we are informed that Than computed 6 percent of 38 as 6 percent of 38 = 0.6 times 38 = 22.8.

His above solution is wrong. We should note that:

6% × 38

= 6/100 × 38.

= 0.06 × 38

= 2.28

The mistake that he made was that Than did not use 0.06 for 6 percent.

Answer:

b

Step-by-step explanation:

edge

Sam had 48 stickers to put on the walls in his bedroom. He divided the stickers
evenly among the 4 walls of his room. How many stickers did he put on each wall?
32
24
16
12

Answers

Answer:

48/4

12 he divided the stickers

evenly among the 4 walls of his room

A fireplace burn 6 same-sized logs in 3 hours. How many logs does the fireplace burn in 9 hours?

Answers

Answer:

18 logs

Step-by-step explanation:

because 9 is three times 3, just multiply the 6  by three as well.

Which of the following lines is parallel to the line represented by 2y=4x+6?


y = -2x - 10
y = -3x + 10
y = 3x +10
y = 2x - 10



Answers

The following solution would be d. y=2x-10. if you divide 4x+6 by 2 (because you’re taking it away from y) you would end up with 2x+3 and you need the same first part of the equation for it to be parallel

What is the distance between (–4, –10) and (–4, –4)?

Answers

Answer:

6 units

Step-by-step explanation:

(-4 , -10) ; (-4 , -4)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

               [tex]= \sqrt{(-4-[-4])^{2}+(-4-[-10])^{2}}\\\\= \sqrt{(-4+4)^{2}+(-4+10)^{2}}\\\\=\sqrt{0+(6)^{2}}\\\\= \sqrt{36}\\\\= 6[/tex]

Answer:

6 units

Step-by-step explanation:

edge2021

WILL GIVE BRAINLIEST TO WHOEVER WRITES AN ACCURATE EXPLANATION FOR THIS QUESTION!

Answers

Answer:

Doy puntos gratis si quieres

Step-by-step explanation:

Put each line into slope-intercept form:
1. y=x + 3
2. 3x + 3y = -9

Can someone help me

Answers

Step-by-step explanation:

Slope-intercept form: y = mx + c

y = x + 3 is already in this form.

3x + 3y = -9,

3y = -3x - 9

y = -x - 3.

An item is regularly priced at $25. It is now priced at a discount of 60% off the regular price. What is the price now? $

Answers

Answer:

$15 is the sale price

Step-by-step explanation:

65% of 40 is what number?
ahh this was supposed to be done yesterdayyy..​

Answers

Answer:

65% of 40 is 26

26 is answer

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 40.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$40=100\%$.

Step 4: Similarly, $x=65\%$.

Step 5: This results in a pair of simple equations:

$40=100\%(1)$.

$x=65\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{40}{x}=\frac{100\%}{65\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{40}=\frac{65}{100}$

$\Rightarrow x=26$

Therefore, $65\%$ of $40$ is $26$

A proportional relationship between the number of pounds of pickling cucumbers (x) and the price in dollars (y) can be graphed, and the ordered pair (6, 4) would be on the graphed line.

Part A: What is the price of 1 pound of pickling cucumbers? Show your work. (8 points)
Part B: What does the ordered pair (12, 8) on the graph represent? Explain in words. (2 points)

Answers

Part A: What is the price of 1 pound of pickling cucumbers?

Answer: after surveying the selection, we discovered that 1 pound is equal to 6 to 7 pickling cucumbers that are 3 to 4 inches in length. We decided to use 1 pound of pickling cucumbers for ours calculation sample.

Part B: What does the ordered pair (12, 8) on the graph represent?

Answer: number are plotted on graph quadrants in what are known as ordered pair. An ordered pair consists of two values, x and y. In an ordered pair, x is always the first value and y is always the second value.

Step-by-step explanation: I think this is what you want, hope this help

Write a 3-digit number that can be divided by 3 but not by 10.

Answers

Answer:

Hi

999

Step-by-step explanation:

Please help me!!!!! I will give 15 points ​

Answers

Answer:

Step-by-step explanation:

all of them could be made into a difference of squares since they all have a minus sign in the expression, but maybe the question is if they can easily be made into a difference of squares.

with that said

[tex]y^{4}[/tex] -2 =>  [tex](y^{2}) ^{2}[/tex]- [tex](\sqrt{2}) ^{2}[/tex]  could be a difference of squares but not easy

25[tex]m^{2}[/tex][tex]n^{4}[/tex] - 1 => (5m[tex]n^{2}[/tex])^2 - [tex]1^{2}[/tex]   yes  and pretty easy

[tex]p^{8}[/tex] - [tex]q^{4}[/tex] => [tex](p^{\sqrt{8} } )^2[/tex]-[tex](q^{2})^2[/tex]  could be but not easy

16[tex]x^{2}[/tex] - 24 => [tex](4x)^{2}[/tex] -[tex](\sqrt{24}) ^{2}[/tex]  could be but not easy


simplify fully please

Answers

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand both factors using FOIL

= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1

= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms

= 8x² + 8

Answer:

-8(x^2 - 1)

Step-by-step explanation:

(x^2 + 3)^2  and  (x^2 - 1)^2 are both squares of binomials.  The first step here is to expand both:

-(x^2 + 3)^2  =  -x^4 - 6x^2 - 9

(x^2 - 1)^2     =  x^4 - 2x^2 + 1

Combine the two right-hand expressions, obtaining:

-8x^2 - 8 or -8(x^2 - 1)

This -8(x^2 - 1) is the simplest form of the given expression.

If desired, -8(x^2 - 1)  can be factored:   -8(x - 1)(x + 1)

solve for x
−2(x+14)+1=5

Answers

Answer:

x=-16

Step-by-step explanation:

−2(x+14)+1=5

Step 1: Simplify both sides of the equation.

−2(x+14)+1=5

(−2)(x)+(−2)(14)+1=5(Distribute)

−2x+−28+1=5

(−2x)+(−28+1)=5(Combine Like Terms)

−2x+−27=5

−2x−27=5

Step 2: Add 27 to both sides.

−2x−27+27=5+27

−2x=32

Step 3: Divide both sides by -2.

−2x

−2

=

32

−2

x=−16

Answer:

x=−16

 

Answer:

-2(x + 14) + 1 = 5

-2x - 28 + 1 = 5

-2x - 27 = 5

-2x = 32

x = -16


Isabel is mailing packages. Each small package costs her $2.50 to send. Each large package costs her $4.20. How much will it cost her to send 1 small package
and 3 large packages?

Answers

Answer:

15.10$

Step-by-step explanation:

you would multiply 4.20x3 and 2.50x1 get the product of both answers and add them im pretty sure.

Can someone please help me. I will mark Brainliest if correct. Thanks!!

Answers

9514 1404 393

Answer:

  3.4 < x < 7.2

Step-by-step explanation:

The length of the third side of a triangle is always between the sum and difference of the lengths of the other two sides.

Here, the difference is 5.3 -1.9 = 3.4; the sum is 5.3 +1.9 = 7.2. So the length of the third side must satisfy ...

  3.4 < x < 7.2

_____

Additional comment

The difference in side lengths is what you get when the shorter side is folded over the longer one. The excess of the longer over the shorter is the difference. If the triangle is to have non-zero area, the third side must be longer than that.

The sum of side lengths is what you bet when the two given sides are laid end-to-end. If the triangle is to have non-zero area, the third side must be shorter than that.

These statements are variations on the "triangle inequality", which states that the sum of any two sides must exceed the third. (That will always be the case if the sum of the shortest two sides exceeds the longest.)

Write an equation for the nth term of the geometric sequence 2, 8, 32, 128, ...
Then find a6. Round to the nearest tenth if necessary.

Answers

Answer:

Equation: x(n)=2*4^(n-1)

a6=2048

Step-by-step explanation:

Take note that the common ratio is 4 because 2*4=8, 8*4=32, 32*4=128, and so on...

We will use the equation x(n) = ar^(n-1) where n represents the nth term, r stands for the common ratio, and "a" stands for the first term. We use (n-1) because ar^0 is for the 1st term

Given the first term is a=2, the common ratio is r=4, then we have the equation x(n)=2*4^(n-1)

So, 128*4=512 would be the 5th term, and the 6th term would be 512*4=2048

So a6=2048

We want to find an equation and the sixth term of the given geometric sequence.

The equation is:

[tex]A_n = 4*A_{n-1}[/tex]

And the sixth term is equal to 512

Geometric sequences.

In a geometric sequence, each term is a constant times the previous term, so the general relation is:

[tex]A_n = k*A_{n-1}[/tex]

Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:

8 = k*2

8/2 = 4 = k

Now we know the value of the constant, then the general formula is:

[tex]A_n = 4*A_{n-1}[/tex]

Now we can use this to get the sixth term:

[tex]A_6 = 4*A_5 = 4*128 = 512[/tex]

If you want to learn more about geometric sequences, you can read:

https://brainly.com/question/9300199

Drake is saving money to buy a new computer for $1,200. He already has $450 and plans $30 a week. The function y = 30x + 450 represents the amount Drake has saved after x weeks. How many weeks will it take Drake to save enough money to buy the computer?

Answers

Answer:

25 weeks

Step-by-step explanation:

step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200

step 2.- subtract 450 from each side

1200=30x+450

-450           -450

750=30x

step 3.- divide by 30 on both sides

750=30x

30    30

x=25

i dont know if this helps but i am still learning how to explain on here. :)

Answer:

it will take him 25 weeks

Step-by-step explanation:

because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.

Solve x2 - 13x + 30 = 0

Answers

Answer:

or, x2-(2-15)x +30= 0

or, x2-2x-15x + 30= 0

or,x(x-2)-15(x-2)=0

or, (x-2) (x-15)=0

either, or,

x-2=0 x-15=0

Answer:

x2-(10+3)x+30=0

x2-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either, or,

x-10=0 x-3=0

x=10 x=3

therefore,x=10,3

work out the coordinates of c
the answer

Answers

Answer:

y = 30- 2 = 28

28/4=7

So 7 per side of the square. x would then be 27-7-7= 13 counting from the top

y would be 2+7+7=16

(13,16)

There are 37 students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are 12 students taking yoga, 18 taking bridge, and 19 taking painting. There are 9 students taking at least two classes. How many students are taking all three classes

Answers

Answer: 3 students

Step-by-step explanation:

You can solve this using the expression;

Total = A + B + C - Both - all - neither

Where A, B and C represent those taking one class

As each student must take at least 1 class, there is no 'neither'.

37 = 12 + 18 + 19 - 9 - All

37 = 40 - All

All = 40 - 37

All = 3

Answer:

3

Step-by-step explanation:

I added the number of students enrolled in each class. It equaled 49.

I subtracted the number of students from that amount

49-37= 12

I subtracted the number of students enrolled in two or more classes

12-9= 3

3 are enrolled in 3 classes

I need help with it i don’t know how to do it

Answers

Answer:

What do you mean? Like you need to specify your question...

Step-by-step explanation:

what do you mean by that?

If 12x - 3 = 17 + 7x, find the value of x.

Answers

Answer:

value of x is 4

Step-by-step explanation:

12x-3=17+7x

12x-7x=17+3

5x=20

x=4

Answer:

4

Step-by-step explanation:

Given that:

12x - 3 = 17 + 7x

Collect like terms

12x - 7x = 17 + 3

5x = 20

Divide both sides by 5

5x / 5 = 20 / 5

x = 4

Hence, x = 4

Determine the value of y, if x is -2.
y = |x – 12|

Answers

Answer:

y=14

Step-by-step explanation:

4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?

Answers

Answer:

5 times

Step-by-step explanation:

What we need to do here is to find the lowest common multiple of 7,8,11 and 12

This is;

1848

Now, let’s calculate the number of seconds in 3 hours

In 1 hour, we have 3600 seconds

In 3 hours, this will be;

3600 * 3 = 10,800 seconds

So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds

Mathematically, that will be;

10,800/1848 = 5.844

Our answer will be 5 times however

This is because the sixth time they would have sounded together would be more than the 3 hours time frame

asap.?


anyone please

Answers

I think it’s -1/3 I might be wrong but it’s the best option
I calculated it and I got -1/3

D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 ​ (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?

Answers

Answer:

d(5) = 5

Step-by-step explanation:

The nth term is given by :

[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)

We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.

[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]

So, the 5th term in the above sequence is 5.

Answer:

5

Step-by-step explanation

In a bag of trail mix, the ratio of raisins to M & M's is 2,3. Which fraction represents the ratio of raisins to M & Ms.​

Answers

Answer:

...you may want to check my explanation...

Step-by-step explanation:

If the ratio of raisins to M&Ms in a bag of trail mix was 2:3, that means that there are 2 raisins for every 3 M&Ms. This means that in a bag of 100 items, there would be 40 raisins and 60 M&Ms. I'm not sure what the ratio would be as a fraction (maybe 2/3?), but I do know that the fraction for the number of raisins in the whole bag is 2/5 and the fraction for the number of M&Ms is 3/5.

Hope this helps!

(If the answer is even right, that is...)

Write a polynomial for the given real-world situation. If the length of a rectangle is 3x^2-4x+5 and the width is 2x + 1, write and simplify a polynomial expression for the area of the rectangle. 3 points for mathematical process and 2 points for correct answer.

Answers

Answer:

[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]

Step-by-step explanation:

Given that:

Length of a rectangle = [tex]3x^2-4x+5[/tex]

Width of rectangle = [tex]2x + 1[/tex]

To find:

Simple polynomial expression for finding the area of rectangle.

Solution:

First of all, we should know about the formula for finding the area of rectangle. Then we should know how to multiply two polynomials.

Formula for area of a rectangle in terms of its length and width is:

[tex]Area= Length \times Width[/tex]

Putting the given values:

[tex]Area = (3x^2-4x+5)(2x+1)[/tex]

Here, we can use the distributive property of multiplication for finding the value of the above multiplication expression.

[tex](A+B)\times (C+D) = A\times C + A\times D+ B\times C + B \times D[/tex]

Therefore, the multiplication of above polynomials can be written as:

[tex]Area = (3x^2-4x+5)(2x+1)\\\Rightarrow Area = 3x^2(2x+1)-4x(2x+1)+5(2x+1)\\\Rightarrow Area = 6x^3+3x^{2} -8x^{2} -4x+10x+5\\\Rightarrow Area = 6x^3+-5x^{2} +6x+5[/tex]

Therefore, the answer is:

[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]

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