Please help and explain I’m stuck

What is the y-intercept of the graphed linear function? (0, –8) (0, –2) (0, 2) (0, 4)

koban [17]

Answer:

All of them

Step-by-step explanation:

A y-intercept is the point where a line or curve crosses the y-axis of a graph. Example: (0, 7) (0, 6)

6 0

2 years ago

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

Helppppppppppppppppppppppppppp

d1i1m1o1n [39]

Answer:

(D) 59 MPH

Step-by-step explanation:

To do this, we simply must look at what the table is giving us. From the top left corner, we can see that they are supplying us with the mileage between each of the cities given. Since we're going from Dallas to Lubbock, find Dallas on the y-axis and go left until you see Lubbock.

The distance between Dallas and Lubbock is 351 miles. Now, we have to take our given information, our desired travel time of 6 hours, and divide from the miles to get our speed:

$mph=miles/hours\\mph=(351)/(6)\\mph=58.5$

Then, we round up to the nearest whole number to get our answer of 59 miles per hour.

8 0

2 years ago

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For a function g(x), the difference quotient is StartFraction 6 Superscript x + h minus 3 Baseline minus 6 Superscript x + 3 Bas

kobusy [5.1K]

Answer:

The average rate of change in that interval is 1.99

Step-by-step explanation:

Here we have that the difference quotient for g(x) is:

$\frac{6^{x + h} - 3 - 6^x + 3}{h}$

Remember that for a general function f(x), the difference quotient is:

$\frac{f(x + h) - f(x)}{h}$

So if we look at the difference quotient for g(x), we can conclude that:

$g(x) = 6^x - 3$

Also remember that the average rate of change in an interval (a, b) is just:

$\frac{g(b) - g(a)}{b - a}$

So here we want the average rate of change of g(x) in the interval from x = -2 to x = 1, this is:

$R = \frac{(6^1 - 3) - (6^{-2} - 3)}{1 - (-2)} = \frac{6 - 6^{-2}}{3} = 1.99$

The average rate of change in that interval is 1.99

8 0

2 years ago

A hockey puck has a radius of 3.7 cm and a thickness of 2.6 cm. what is its volume, to the nearest cubic centimeter

torisob [31]

The volume of the hockey puck will be 111.82 cubic cm.

<h3>What is volume?</h3>

Volume is defined as the space occupied by any object in the three-Dimensions. For the cylindrical shapes, the volume will be calculated by using the radius and the length of the cylinder.

Given that:-

A hockey puck has a radius of 3.7 cm and a thickness of 2.6 cm

The volume of the hockey puck will be calculated as:-

V = π r² l

V = π ( 3.7)² 2.6

V = 111.82 cubic cm.

Therefore the volume of the hockey puck will be 111.82 cubic cm.

To know more about Volume follow

brainly.com/question/1972490

#SPJ1

7 0

1 year ago