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3 years ago

The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds:

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

5 0

Y=4x. its 4 bucks for each pound of granola

Setler [38]3 years ago

4 0

Answer: $y = 4x$

Step-by-step explanation:

The standard equation of a line in intercept form is given by :-

$y=mx+c\ \ \ \ \ \ \ (i)$ , where m is the slope of the line and c is the y-intercept.

The graph shows the price, y, in dollars, of different amounts of granola, x, in pounds:

From the graph , it can be seen that the line is passing from the origin (0,0).

Put x=0 and y=0 in (i) , we get c=0

Also, at x= 2, we have y=8

Put these values in (i) , we get

[tex]8=m(2)+0\\\\\Rightarrow\ m=\dfrac{8}{2}=4[/tex]

Now, the equation best represents the relationship between x and y will be

$y = 4x+0\\\\\Rightarrow\ y = 4x$

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In your notebook, set up the following subtraction in a vertical format and select the correct answer. Take -4 + 3a2 from 7a - a

ahrayia [7]

Answer:

-4a^2+7a+4 , a=2 or -1/4

Step-by-step explanation:

Take -4 + 3a2 from 7a - a2

It means 7a -a^2 - (-4+3a^2)

7a -a^2 +4-3a^2

7a -a^2-3a^2+4

7a -4a^2+4

-4a^2+7a+4

-4a^2+8a-a+4

-4a^2-a+8a+4

-a(4a+1)+2(4a+1)

(-a+2)(4a+1) =0

-a+2=0 4a+1=0

-a=-2 4a=-1

-a/-1=-2/-1 a=-1/4

a=2 or -1/4

7 0

3 years ago

Read 2 more answers

A real-world problem problem to represent 10x + 40 = 100

Volgvan

I need $100 for my game console I want. I already have $40 and I get $10 every week for doing chores.

3 0

3 years ago

Write each quadratic function below in terms of linear factors.a)f(x)=x²-25b)f(x)=x²+25c)f(x)=4x²+25d)f(x)=x²-2x+1e)f(x)=x²-2x+4

Andrei [34K]

Answer:

a) (x + 5) (x - 5)

b) (x + 5i) (x - 5i)

c) (x + (5i/2)) (x - (5i/2))

d) (x-1)(x-1)

e) x +i√3 +1) (x -i√3+1)

Step-by-step explanation:

To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x

a) f(x) = x²-25

x²-25 = 0

⇒(x + 5) (x - 5)

b) f(x)=x²+25

x² + 25 = 0

x²= -25

x = √-25

x = √25i

x = ±5i

⇒(x + 5i) (x - 5i)

c) f(x)=4x²+25

4x²+25 = 0

4x²= -25

x² = -25/4

x = ±√(-25/4)

x = ±(√25i)/2

x = ±5i /2

⇒(x + (5i/2)) (x - (5i/2))

d) f(x)=x²-2x+1

x²-2x+1 = 0

⇒(x - 1)²

e) f(x)=x²-2x+4

x²-2x+4 = 0

x²-2x = -4

x²-2x +1 = -4 +1

x²-2x + 1 = -3

(x-1)² +3 = 0

(x-1)²= -3

x-1 = √-3

x = ±√3i +1

⇒(x +i√3 +1) (x -i√3+1)

6 0

3 years ago

Please help ASAP!!!!!50 POINTS!!!!!

choli [55]

This means for every 1 can of black paint there are 2 cans of white paint in the mix

Step-by-step explanation:

The constant of proportionality is the gradient of line which can be evaluated as follows;

Gradient = delta y / delta x

Gradient = (y2 – y 1) / (x2 – x1)

We shall pick two points on the line graph in (x,y) format;

(3. 6) and (1, 2)

We evaluate the gradient now be repalivn the points on the formula;

Gradient = (2 – 6) / 1 – 3

Gradient = - 4 / - 2

Gradeint = 2/1 = 2

= 2

This means for every 1 can of black paint there are 2 cans of white paint in the mix

Learn More:

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7 0

3 years ago

What can k equal so that 2kx-3k<2x+4+3kx to have no solution

const2013 [10]

Answer: k = -2
solution: 2kx-3k<2x+4+3kx,
-3k-4<2x+3kx-2kx,
-3k-4<(k+2)x
Since this inequality has no solution, k = -2.

3 0

3 years ago