Identify the slope and y intercept of the line with equation 2y = 5x + 4

Answers

Answer 1

Answer:

Slope is 5/2

y-intercept is 2

Step-by-step explanation:

Turn the equation into slope intercept form [ y = mx +  b ].

2y = 5x + 4

~Divide everything by 2

y = 5/2x + 2

Remember that in slope intercept form, m = slope and b = y-intercept.

Best of Luck!

Answer 2

Answer:

slope: 2.5

y-intercept: 2

Step-by-step explanation:

First isolate the y variable which changes the equation to y=2.5x+2

The equation of a line is mx + b where m is the slope and b and the

y-intercept. Leading us to conclude that 2.5 is the slope and 2 is the y-intercept.


Related Questions


Match each polynomial on the left with its two factors on the right.

Answers

Answer:

Hello

Step-by-step explanation:

[tex]Formula: \\\\\boxed{\Large a^3\pm b^3=(a \pm b)(a^2 \mp ab+b^2)}\\\\8x^3+1=(2x)^3+1^3=(2x+1)(4x^2-2x+1)\\\\8x^3-1=(2x)^3-1^3=(2x-1)(4x^2+2x+1)\\[/tex]

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The expression is given below.

8x³ + 1 and 8x³ - 1³

(2x)³ + 1³ and (2x)³ - 1³

We know that the formula is given as,

a³ + b³ = (a + b) (a² – ab + b²)

a³ – b³ = (a – b) (a² + ab + b²)

Then the expression is written as,

(2x)³ + 1³ = (2x + 1) [(2x)² – 2x + 1²]

(2x)³ + 1³ = (2x + 1) (4x² – 2x + 1)

(2x)³ – 1³ = (2x – 1) [(2x)² + 2x + 1²]

(2x)³ – 1³ = (2x – 1) (4x² + 2x + 1)

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

More about the polynomial link is given below.

https://brainly.com/question/17822016

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The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)

Answers

Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

Which ordered pair is a solution to the system of inequalities? y > 2x
y > 7
A. (0, 0) B. (4, 8) C. (3, 7) D. (1, 9)

Answers

Answer:

D( 1,9)

Step-by-step explanation:

First y must be greater than 7 which eliminates A and C

y must be greater than 2 times the x value

2*4 = 8 so B is eliminated

2*1 = 2  which is less than 9  Choice D is a solution

Find the missing side or angle round to the nearest tenth b=15 a=30 c=29 A=[?]°

Answers

Answer: 79

Step-by-step explanation:

i just did it on acellus and its right

Help needed!!!
Find the length of the segment indicated.
A. 12.1
B. 16.4
C. 13.3
D. 11.4

Answers

Answer:

A

Step-by-step explanation:

using the theorem of Pythagoras

x = sqrt* 19.6 ^2 - 15.4^2*

x = 7× sqrt* 3*

x = 12.1 units

Answer:

A.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

A car dealership is advertising a car for $16,299.99. If the sales tax rate is 6.5 percent, what
is the total tax paid for the car?
A. S993 34
B. $1.000.00
CS1.059 50
DS1.359.19

Answers

Answer:

C. 1059.50

Step-by-step explanation:

Sales price x sales tax rate = sales tax

16299.99 x .065 (6.5%) = 1059.50

Look at the image for the question?

Answers

Answer:

Surface area = the sum of the area of all six sides:

(11 · 10) + (11 · 10) + (11 · 8) + (11 · 8) + (8 · 10) + (8 · 10)

= 110 + 110 + 88 + 88 + 80 + 80

= 220 + 176 + 160

= 556 ft²

Answer:

556 ft^2

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(lw+wh+lh) where h is the height l is the length and w is the width

SA = 2( 11*10+10*8+11*8)

      = 2(110+80+88)

      =2(278)

     =556 ft^2

a string of length 60 cm is used to form two equal circles. what wil the total circumference of the two equal circles ?​

Answers

Answer:

Step-by-step explanation:

I don't know what other answer there could be but 60 cm. The circles have to have the same radius and the same circumference. They were made from a 60 cm string so their total must be 60 cm.

Is there a trick I don't see? Hope not?

For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is

Answers

Answer:

$837.50

Step-by-step explanation:

(1000×16.75×5)/100

83750/100=

$837.50

What is the sum of the interior angles of a regular polygon with 5 sides?

A. 1260
B. 180
C. 360
D. 540

Answers

Answer:

540 is the ans

Step-by-step explanation:

this is the correct answer

180

Step-by-step explanation:

the measure of interior angles of polygon =180×(n-2)

Evaluate f(g(3)) if f(x)=6x−4 and g(x)=x2.
(Please Explain! Thank you)

Answers

Answer: 50

Step-by-step explanation:

f(x) = 6x-4 and g(x) = x^2

f(g(3)) means what is the value of the function f when it is evaluated at the value of g(3).

So g(x) is x^2 so g(3) is 3^2 = 9

Therefore we put 9 in for f(g(3))= f(9) = 6(9) - 4 = 54 - 4 = 50

A card is drawn from a well shuffled deck of 52 cards what is the probability of drawing an ace or a six

Answers

Answer:

8/52

Step-by-step explanation:

The first thing to do is write it out;

How many aces are in a deck and how many sixes?

There are 4 of each so, 4+4 = 8 therefore our beginning ratio will be;

8/52 cards are going to be an ace or a six.

From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answers

The horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Angle of elevation and depression

The angle situated above the hill is known as  the angle of depression

Given the following parameters

Height of the harbor = 824 feet

Angle of depression = 67degrees

According to SOH CAH TOA identity:

tan 67 = opp/adj
tan 67 = 824/d

d = 824/tan67
d = 349.8 feet

Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Learn more on angle of depression here: https://brainly.com/question/12483071

Melissa, Brian, and shen have a total of $85 in their wallets. Brian has 3 times what Shen has. Shen has $10 less than Melissa. How much do they have in their wallets?

Answers

Answer:

Shen has $15, Brian has $45, and Melissa has $25

Step-by-step explanation:

Let x represent how much money Shen has.

Since Brian has 3 times what Shen has, his amount can be represented by 3x.

Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.

Create an equation to represent the situation, and solve for x:

x + 3x + x + 10 = 85

5x + 10 = 85

5x = 75

x = 15

So, Shen has $15 in their wallet.

Find how much Brian has by multiplying this by 3:

15(3) = $45

Find how much Melissa has by adding 10 to this:

15 + 10 = $25

Shen has $15, Brian has $45, and Melissa has $25.

Which condition must exist in order for conduction to occur between two substances? The molecules of the substances must be touching. Both substances must be the same temperature. At least one substance must be a liquid. Most of the molecules must be slow moving.

Answers

Answer:

The molecules of the substances must be touching

FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.

Answer:

The molecules of the substances must be touching.

A

Step-by-step explanation:

The work shows how to use long division to find?

Answers

Answer:

remainder = [tex]\frac{1}{x-2}[/tex]

Step-by-step explanation:

The remainder is the value of the subtraction of the last 2 lines in the procedure.

  5x - 9

- (5x - 10)

That is

5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1

over the divisor x- 2 , gives

remainder = [tex]\frac{1}{x-2}[/tex]

Most brainiest for the right answer on this problem!

Answers

Answer:

82.8

Step-by-step explanation:

mean = sum of all points, over the total given number of points

84 * 26 = 2184

2184 + 69 + 66 = 2319

Now the total number of tests is 26 + 2 or 28

So divide 2319 by 28

2319/28 = 82.82142

rounded to the nearest tenth is 82.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

if k = p+2q/3 , find the value of p when k=7 and q=3​

Answers

Answer:

k = p+2q/3

Step-by-step explanation:

k=7 and q=9

7 = p+(2*9)/3

7 = p+18/3

7 = p+6

7-6 = p

1 = p

Hope it helps!

Hope it's help you!!!! Have a good day/night

Last month a factory produced 800 television sets. This month the same factory produced 1064 television sets. What percent did production increase?

Answers

Answer:

33%

Step-by-step explanation:

Increase is equal to (1064-800)

=264

So the percent = (264/800)×100

=33%

The factory's output went up by around 33% from last month to this month, reflecting a significant growth in television set production.

To calculate the percentage increase in production, we use the concept of percentage change.

The formula for percentage change is = [(new value - old value) / old value] × 100,

In this case, the old value is 800 (last month's production) and the new value is 1064 (this month's production).

The percentage increase in production can be calculated as follows:

[(1064 - 800) / 800] × 100 = (264 / 800) × 100 ≈ 33%.

Therefore, the production increased by approximately 33%.

Learn more about Percent here

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Find the value of x.

Answers

Answer:

[tex]here \: the \: two \: sides \: are \: equal \: so \: \\ the \: triangle \: is \: issosceles \\ then \: x = 40 \\ thank \: you[/tex]

2y-x=6 and y=2x+7 graphed equals how many solutions​

Answers

Answer:

One solution

BRAINLIEST, PLEASE!

Step-by-step explanation:

2y - x = 6

2y = x + 6

y = x/2 + 3

y = 2x + 7

After graphing, they have one solution at (-2.667, 1.667).

3. Using the identity (a + b)² = (a² + 2ab + b²), evaluate 122²
.....



plz it's request to do answer fast and I will make him or her brainlist ​

Answers

[tex]\\ \sf\longmapsto 122^2[/tex]

[tex]\\ \sf\longmapsto (100+22)^2[/tex]

[tex]\\ \sf\longmapsto 100^2+2(100)(22)+22^2[/tex]

[tex]\\ \sf\longmapsto 10000+4400+484[/tex]

[tex]\\ \sf\longmapsto 14400+484[/tex]

[tex]\\ \sf\longmapsto 14884[/tex]

112²

Using Identity

(a + b)² = (a² + 2ab + b²)

Solution

⇛122²

⇛(100 + 22)²

⇛(100)² + 2 × 100 × 22 + (22)²

⇛10000 + 4400 + 484

⇛14400 + 484

⇛14884

When it was built, the given stadium held 31,080 fans per game. Today, it holds 86,047. How many more fans could attend per year (12 games) compared to the year it was built?

Answers

Answer:

659604 students

Step-by-step explanation:

86047-31080=54967 more students per game

54967 students per game x 12 games = 659,604 students

What is the sum of the arithmetic sequence 3, 9, 15
if there are 34 terms?

Answers

Answer:  3468

===================================================

Work Shown:

a = first term = 3

d = common difference = 6

S(n) = sum of the first n terms of an arithmetic sequence

S(n) = (n/2)*(2a + d(n-1))

S(34) = (34/2)*(2*3 + 6(34-1))

S(34) = 3468

--------

Check:

3+9+15+21+27+33+39+45+51+57+63+69+75+81+87+93+99+105+111+117+123+129+135+141+147+153+159+165+171+177+183+189+195+201 = 3468

I used GeoGebra to generate the 34 terms shown above. You could do so by hand (start at 3; add 6 to each term to get the next one), but it's a tedious busywork type of problem in my opinion. It's best left to computer software.

58. In nine given numbers, the average of first five numbers is 20 and that of the last five numbe also 20. If the average of mine numbers is 16. what is the fifth number?​

Answers

im not sure sorry but 26 maybe as the adverga

A car travels 12 km in 15 minutes.
Work out the average speed of the car in km/h.

Answers

Step-by-step explanation:

s=12km t=15m

15m--> km= 15/60= 0,25h

V=s/t

V=12km/0,25h

V= 48 km/h

on the same graph draw line 2y-x=10 and y=3x​

Answers

Answer:

Step-by-step explanation:

Find the slope of the line containing the points (2, 7) and (-5, -4).

Answers

the answer is 11/7.you can see the image

Answer:

[tex]\boxed {\boxed {\sf \frac{11}{7}}}[/tex]

Step-by-step explanation:

The slope describes the direction and steepness of a line. The formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points the line contains. For this problem, the line contains the points (2,7) and (-5, -4). Therefore:

x₁= 2 y₁ = 7 x₂ = -5 y₂ = -4

Substitute these values into the formula.

[tex]m= \frac{ -4 -7}{-5-2}[/tex]

Solve the numerator (-4 -7 = -11).

[tex]m= \frac{ -11}{-5-2}[/tex]

Solve the denominator (-5-2 = -7).

[tex]m= \frac{ -11}{-7}[/tex]

Simplify the fraction. The 2 negative signs cancel each other out.

[tex]m= \frac{11}{7}[/tex]

The slope of the line is 11/7

About 10​% of 8900 commuters carpool to work. Find the number of commuters who carpool.

How many commuters​ carpool?

Answers

Answer: 890 commuters carpool

Step-by-step explanation:

10% of 8900 = 890

8900/10= 890

Note: 10% to decimal form is 10

Answer:

10% of 8900

10/100×8900

=890

hope this is helpful

This one is confusing

Answers

Answer:

it s just asking for negative d

Step-by-step explanation:

Answer:

D(-1) = 2

Step-by-step explanation:

replace x with D(x), which in this case is -1

D(x) = x²-2x-1

replace x with -1

D(x) = (-1)²-2(-1)-1

Now solve using PEMDAS

Other Questions
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He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference."Slow down, your turn is coming up here," he said, looking ahead."I know, I know," she replied, "I've been here before rememberthe last time I flunked."Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety."Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought."Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate.""Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time."You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?""I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.Chapter 2Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. 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Justin thought he heard a bit of panic in her voice but continued with his plan."Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked."Yes, but..." she started."And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?""Yes," she said quietly."So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?""I suppose not," she said.Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm."Ow," she said, hitting back at him, "that hurt.""So let's go do this, okay?"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. 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