All categories

4 years ago

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

Mathematics

1 answer:

gogolik [260]4 years ago

8 0

Answer:

gradient = 2

line: y = 2x - 4

Step-by-step explanation:

Find the slope from the slope intercept formula

y = mx + b

b is the y intercept

b = -4 and the point is (0,-4)

So far the equation looks like this.

y = mx - 4

Use the other intercept (x intercept) to find m

x = 2

y = 0

0 = m*2 - 4 Add 4 to both sides

4 = 2m Divide by 2

4/2 = m

m = 2

So the gradient or slope is 2

You might be interested in

Astone is a unit in the British customary system. Use the conversion: 14 pounds =1 stone to check the equivalencies in the figur

sineoko [7]

Answer:

The equivalencies is correct, 240 kilograms is approximately 37 stones 10 pounds.

Step-by-step explanation:

Given:

14 pounds = 1 stone.

Now, to check that, is 240 kilograms approximately 37 stone 10 pounds.

So, we convert kilograms into pounds first:

1 kilogram = 2.2 pounds.

240 kilograms = $240\times 2.2$ $=528\ pounds$ .

Then, convert pounds into stone:

1 stone = 14 pounds.

528 pounds = $528\div 14=37\frac{10}{14}\ stones$

Approximately 528 pounds = 37 stones 10 pounds.

Thus, 240 kilograms = 37 stones 10 pounds.

Therefore, the equivalencies is correct, 240 kilograms is approximately 37 stones 10 pounds.

4 0

3 years ago

Y=-8x – 37 x+3y=4 Substitution method

saul85 [17]

Answer:

(- 5, 3 )

Step-by-step explanation:

Given the 2 equations

y = - 8x - 37 → (1)

x + 3y = 4 → (2)

Substitute y = - 8x - 37 into (2)

x + 3(- 8x - 37) = 4 ← distribute and simplify left side

x - 24x - 111 = 4

- 23x - 111 = 4 ( add 111 to both sides )

- 23x = 115 ( divide both sides by - 23 )

x = - 5

Substitute x = - 5 into (1) for corresponding value of y

y = - 8(- 5) - 37 = 40 - 37 = 3

Solution is (- 5, 3 )

5 0

3 years ago

Read 2 more answers

Need the answer ASAP, I don't really understand how to do it.

SashulF [63]

Answer: 5p^3-10p^2+3p-6=18p^6/6

Step-by-step explanation: Add 5p^3-10p^2+3p=18p^6/6

3 0

3 years ago

The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost an additi

tia_tia [17]

C = 125S + 4500 <== ur equation

to transport 16 tons....sub in 16 for S
C = 125(16) + 4500
C = 2000 + 4500
C = 6500 <==

5 0

3 years ago

(2x–y)²–(y+2)²-----------

lilavasa [31]

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

$\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}$

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

$\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }$

$\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }$

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

3 0

3 years ago