What is the gradient of the graph shown?
Give your answer in its simplest form.

What Is The Gradient Of The Graph Shown? Give Your Answer In Its Simplest Form.

Answers

Answer 1

Answer:

1.5

Step-by-step explanation:

To find out the gradient (or the slope), we can use the formula

Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.

Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)

Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.

Feel free to ask any doubts you may have.

Hope this helps! :D


Related Questions

if f(x) = 1/5 x^2 – 3x, what is the value of f(5)? please help​

Answers

Answer:

0, -10

Step-by-step explanation:

1.
Calculate 7% of 340​

Answers

Answer:

23.8

Step-by-step explanation:

x/340= 7%/100%

340*7= 2380

2380/100 =23.8

Answer:

7

___ x 340 = 23.8

100

Using the keywords:

Of means multiplication

Consider a percent out of 100

A way to remember is that, cent means 100.

Brainliest appreciated!

The question is down below

Answers

Answer:

The volume at the highest point is 64 times greater

Step-by-step explanation:

Mathematically, the volume of a sphere is simply the same formula irrespective of the size

Now, we have the formula as;

V = 4/3 * pi * r^3

While the 4/3 pi is a constant term, the value of r changes

initially we have the value of r as d = 2

where r is the radius and d is the diameter

we have this as;

8/2 = 4 ft

r^3 of this is 4^3 = 64

For the second part, we have

r as 32/2 = 16 ft

now, the r^3 part here is 16^3 = 4096

So now, we have to divide the final by the initial

we have this as 4096/64 = 64

So the volume at the highest point is 64 times greater

A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.​

Answers

Answer: 3.57 years

Step-by-step explanation:

Based on the question given, the interest is the difference between the amount and the principal which will be:

= $19800 - $16800

= $3000

The formula for Simple interest is given as:

Interest = Principal × Rate × Time

3000 = 16800 × 5% × Time

3000 = 16800 × 0.05 × Time

3000 = 840 × Time

Time = 3000 / 840

Time = 3.57

The time taken to grow the investment is 3.57 years

Can someone help me?

Answers

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

Pretty pwease help are im gonna get hit oml I just wanna gts



Clark deposited $3600 for three years into a money market account. At the end of three years he had earned $432 in interest. What rate of interest did he receive? (See Example 1 from your notes.)

a
3.8%
b
4%
c
4.32%
d
0.04%

Answers

Answer should be C like that other person said. Anyways have a good nights sleep :)

Find the length of each arc. Use the exact answer

Answers

Answer:

D) 16π/3 ft

Step-by-step explanation:

The Question is calculated using Arc length formula

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Hence, the arc length = Option D =  16π/3 ft

Rebecca decides to give all employees in her company a raise on their daily wage. She allows each employee to
choose between two options.
• Option 1: $10 added to the daily wage.
• Option 2: 10% increase on the daily wage.
Enter a whole number daily wage amount for which Option 1 is a larger raise. Enter your response in the first
response box.
Enter a whole number daily wage amount for which Option 2 is a larger raise. Enter your response in the second
response box.

Answers

For option 1 enter any number less than 100. For option 2 enter any number greater than 100

help?!

Compound interest means interest is earned on top of interest.

True
False

Answers

Answer:

True.

Step-by-step explanation:

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet.

Answers

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Which mapping diagram represents a function ? Would it be D?

Answers

Answer:

D

Step-by-step explanation:

Mathematically , for us to have a function, no 2 y values must have a single x value

Although, 2 x-values can have a single y value

The y values called the output values are listed on the right

The x values called the input values are listed on the left

So out of the options, with the given definition above, the one that represents a function is the option D

Jayden took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number? Show your work.
doubling the number and then decreasing the result by 25%
increasing the number by 50%
multiplying the number by 1.25
multiplying the number by 2.5

Answers

Answer:

Step-by-step explanation:

increasing he number by 50%

look 25 x 2 = 50 woah duable  means  add th number again boom 50%

Answer:

third option (mult by 1.25)

Step-by-step explanation:

let's say the number is 10

now double it to get 20

now increase it be 25% which is the same as multiplying by 125% or 1.25; you will get 25

Which expression shows the quotient of a number of n and four.

Answers

Answer: n divided by 4!

Step-by-step explanation: If its a quotient, it means division!

Anyone know how to do this? If so PLZ HELP ASAP

Answers

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

Solve the equation below by completing the square.
x? + 8x = -11

Answers

Answer:

[tex]x { }^{2} + 8x + 11 = 0 \\ d = 64 - 44 = 20 \\ x1 = \frac{ - 8 - \sqrt{20} }{2} = - 4 - \sqrt{5} \\ x2 = \frac{ - 8 + \sqrt{20} }{2} = - 4 + \sqrt{5} [/tex]

Pls help, cant find this question anywhere else.
When expressing a number in scientific notation, the value of must be a ________.

Answers

Answer:

I think its "decimal" Im not sure tho

Step-by-step explanation:

to be specific I would say "decimal that is rounded to the hundredths place"

What is the equation of the line that passes through the point (4, -8) and
has a slope of - 1/2?

Answers

Answer:

I have no idea.

Step-by-step explanation:

??

In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.

Answers

Answer:

90,597 square inches

Step-by-step explanation:

In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.

We solve using Heron's formula

A = √s(s -a)(s - b) (s - c)

s = a + b + c/2

a = 410 inches

b = 530 inches

c = 830 inches

Hence,

s = 410 + 530 + 830/2

s = 885

A = √885(885 - 410)(885 - 530)(885 - 830)

A = 90,597.030166557 square inches

Approximately = 90,597.0 square inches

-5/9 as a decimal is what

Answers

Answer:

59.00

Step-by-step explanation:

kind of common sense

0.556

hope this helps

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.​

Answers

Question:-

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Solution:-

The age of Sita = (x + 5) years.

And, the age of Gautam = x years.

Now,

5 years ago, the ratio of their ages was 3 : 2

[tex] \therefore [/tex] [tex] \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x} [/tex]

Now by cross multiplying, we get,

3x = 2(x + 5)

3x = 2x + 10

3x - 2x = 10

x = 10

Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.

And, the age of Gautam = x = 10 years.

Now,

The present age of Sita = 15 + 5 = 20 years. (Answer)

And, the present age of Gautam = 10 + 5 = 15 years. (Answer)

The front view of the top of a house is in the shape of a triangle whose
height is 10 inches less than the length of its base and its area is 75 in2. If b
represents the length of the base, which of the following equations can be
used to find the value of b?

Answers

Answer:

uiptyftyfkghfcytfghvchjcghcfgcjvbcfg

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 75, b = b , h = b - 10, then

[tex]\frac{1}{2}[/tex] b(b - 10) = 75 ( multiply both sides by 2 to clear the fraction )

b(b - h) = 150 ← option 2

Factor n2 + 8n + 12 completely.

Answers

Answer:

(n+2)(n+6)

Step-by-step explanation:

[tex]n^2+8n+12\\\\[/tex]

Break the expressions into groups

[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]

Factor out n from n^2+2n

Factor out 6 from 6n+12

[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]

Factor out common term : n+2

[tex]=\left(n+2\right)\left(n+6\right)[/tex]

The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).

Given that,

The quadratic equation is,

n² + 8n + 12

Used the factorization method to factor the quadratic equation.

Now, factor the equation,

n² + 8n + 12

n² + (6 + 2)n + 12

n² + 6n + 2n + 12

n (n + 6) + 2(n + 6)

(n + 2) (n + 6)

Therefore, the factors of the equation are (n + 2) and (n + 6).

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

Roberta stood on a 36 in. high chair, then jumped into a
18 in. deep hole. Which equation applies to her action?

Answers

36-18=18
ANSWER : C
good luck :)))

Please Please Pleaaaase help me with this.

Answers

Answer:

multiple 2 with everything

Step-by-step explanation:

two by 3=6 6X2=12 and like this

Let’s say you want to play a new card game called Pokee. Every player isdealt 4 cards and everyone compares what hands they have to see who wins. Our job isto figure out what the hierarchy of the hands should be. Below is a list of several scoringhands that we wish to compare. For each hand, count how many hands of that type thereare (include the expression you used to get that value) along with a simple explanation ofhow you got that expression. Assume a standard 52 card deck with 4 suits.
a) Presidential Flush (J, Q, K, Ace, all the same suit)
b) Straightish (4 consecutive cards)
c)Flushed (4 cards of the same suit)
d) House (Two pairs of different cards)

Answers

Answer:

a)

Step-by-step explanation:

base on the hierarchy of the hands should be

Straight flush - Poker hand in with 4 consecutive cards of the same suit

Flush - Poker hand with any 4 cards of the same suit

Full house - Poker hand that contains three of the same cards and one pair

Since: Poker hand refers to the 4  cards that are held in the game. Every game features the same hierarchy of poker hands. Based on this hierarchy, there can be different types of poker hands:

find the lcm of m²+2m, m²- 4 ,m² + 3 m+2 plzzzz answer fast​

Answers

Answer:

(m + 2)

Step-by-step explanation:

First, factorise out m from the first equation:

m² + 2m = m (m + 2)

Second, use difference of two squares to factorise the 2nd equation:

m² - 4 = (m + 2) (m - 2)

Third, just factorise the last one normally as you would to solve for m:

m² + 3m + 2 = (m + 2) (m + 1)

Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).

a phone call starts at 9:14a.m. the call lasts for 24 minutes. what time does the call end?
8:46 a.m.
9:28 a.m.
9:42 a.m.
10:28 a.m.

Answers

Answer:

It would end at 9:38

Step-by-step explanation:

but obviously it is not one of the answer choices, so I would go with 9:42

10:28 pls mark brainless .

Shoppers leaving Midtown Mall were asked to give their age. Use the line plot to answer each question. This question is for 40 points and ill also mark brainliest

Answers

Answer:

20, 7, 5

Step-by-step explanation:

Range-20, range=most

Mode-7, mode=22-15

Most-5

Please help me find the circumference.

Answers

Answer:

15pi

Step-by-step explanation:

The equation for circumference is C=2πr

In the question you're given the diameter so we need to take 15 and divide by 2

giving us r=7.5

then 7.5*2=15

giving us 15pi

PICK ABC OR D !!!!!!!!

Answers

1.8 is greater than 1 so it is an increase. Raised to an exponent is an exponential increase.

The correct answer would be A. Bacteria growth increases exponentially

The correct answer is A
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