Ask question

Ask question

All categories

3 years ago

14

Please help answer the y-intercept part

2 answers:

Sidana [21]3 years ago

8 0

The easy way to find the y-intercept is to write the equation is slope intercept form as:

y = mx + c

The c will be the y-intercept.

The given equation is:

7x - 2y = 1

Re-arranging we get:

2y = 7x - 1

Divide both sides by 2, we get;

y = 7/2 x - 1/2

Compare this to the top most equation, you get the y-intercept to be -1/2

At y-intercept, the x coordinate is 0. So the ordered pair will be (0, -1/2)

Vesnalui [34]3 years ago

3 0

Answer:
(0,-1/2)

Explanation:
The genera form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

The given equation is:
7x - 2y = 1
First, we will put the given equation in the general form as follows:
7x - 2y = 1
2y = 7x - 1
y = (7/2) x - (1/2)

Now, comparing the given equation with the general form, we would find that:
the slope (m) = 7/2
the y-intercept (c) = -1/2

The y-intercept is defined as the value of y at x = 0.
This means that the y-intercept as an order pair would be: (0,-1/2)

Hope this helps :)

You might be interested in

A water tank has the shape of an inverted right circular cone with base radius 3 meters and height 6 meters. Water is being pump

Ivan

Answer:

the rate of change is 3.8m/s

Step-by-step explanation:

The volume of the right circular cone is

$V= \frac{\pi*r^2h}{3}.$

The rate of change of volume is

$\frac{dV}{dt} =\frac{d}{dt}( \frac{\pi*r^2h}{3})=\frac{\pi}{3} \frac{d}{dt}(r^2h)=\frac{\pi}{3}(2rh\frac{dr}{dt}+r^2\frac{dh}{dt})$

In order to proceed further we have to define r in terms of h so tht we can compute the derivative above.

The ratio between h and r is

$\frac{h}{r}=\frac{6}{3} =2$

Therefore $r=\frac{h}{2}$ .

We plug that into the derivative above and get:

$2rh\frac{dr}{dt}+r^2\frac{dh}{dt}=\frac{h^2}{2}\frac{dh}{dt}+\frac{h^2}{4}\frac{dh}{dt}=\frac{3h^2}{4}\frac{dh}{dt}.$

Thus

$\frac{dV}{dt}=\frac{\pi}{3}\frac{3h^2}{4}\frac{dh}{dt}$

Now for the numerical part.

The rate of change of volume $\frac{dV}{dt}$ is $12\frac{m^3}{s}$ , so when the water is 2 meters deep $h=2$ , therefore:

$12=\frac{\pi*3*2^2}{4*3} \frac{dh}{dt} \\\\\therefore \boxed{ \frac{dh}{dt}=3.8m/s.}$

8 0

2 years ago

The function f(x)=12,419(1.4)^x represents the number of visitors to a website x years after itbwas launched. Each year, the num

jekas [21]

1.4x is the answer to this question

8 0

2 years ago

Read 2 more answers

Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each. She must

Georgia [21]

Answer:

$x+y\geq30$

$6c+7b\geq175$

Step-by-step explanation:

Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.

Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.

i.e. Cost of 'c' chocolate chip cookies = 6c

Cost of b butter cookies = 7b

She must sell at least 30 boxes of cookies and at least $175 worth of cookies.

i.e. $x+y\geq30$

$6c+7b\geq175$

Thus , the system of inequalities models this situation :

$x+y\geq30$

$6c+7b\geq175$

7 0

3 years ago

Kayla lives 5 2/4 miles from her dad’s house. What fraction greater than one can you write 5 2/4?

mihalych1998 [28]

6 3/4 I think is a possible answer

8 0

2 years ago

What is the sun of 185 and h

Ksenya-84 [330]

Answer:

185 + h

Step-by-step explanation:

Question: What is the sum of 185 and h?

Sum means the answer to an addition problem, so we need to add.

185 + h

This expression can not be simplified any further, so 185 + h is your answer.

Hope this helps :)

3 0

2 years ago