Help, ill give brainliest

If a graph shows the function y=3x what are the coordinates of the intercepts

vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:

x

=

−

5

3

y

intercept:

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the

x

and

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the

y

intercept first:

With any function,

y

intercepts where

x

=

0

.

Therefore, substituting

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the

y

intercept cuts through the point (0,5)

Let's calculate the

x

intercept next:

Recall that with any function:

y

intercepts where

x

=

0

.

The opposite is also true: with any function

x

intercepts where

y

=

0

.

If we substitute

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for

x

to calculate the

x

intercept.

−

5

=

3

x

−

5

3

=

x

Therefore, the

x

intercept cuts through the point

(

−

5

3

,

0

)

.

Now we have both the

x

and

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}

3 0

2 years ago

Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!

adelina 88 [10]

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

6 0

2 years ago

Helpppppppppp ASAP pls and thankyouu

natima [27]

Answer:

1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;

Linear

Shade is above the line

2. The graph of the inequality, y ≤ │x│ - 3, created with MS Excel is attached showing the following characteristics

Linear

Shade is below the line

3. The graph of the inequality, y < x² - 4, created with MS Excel s attached showing the following characteristics;

Quadratic

Shade below the line

Step-by-step explanation:

8 0

2 years ago

After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. Typical grocery-store hams are smoked for a sh

Elza [17]

Answer:

107

Step-by-step explanation:

Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.

Let X be the smoking time . Then X is N(mu, 8)

a) The sample is drawn at random

b) The sample represents the population

c) Sample size is sufficient to represent the population

b)For 99% conf interval z critical is taken since population std dev is given

Z critical = 2.58

Hence confi interval = $(\mu+/- 2.58*\frac{\sigma}{\sqrt{n} } \\=(\mu +/- 2.58\frac{8}{6} )\\= (\mu -3.44, \mu+3.44)$

c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval

d) If margin of error is only 2, then we must have

$2.58*\frac{8}{\sqrt{n} } =2\\10.32=\sqrt{n} \\n=106.50\\n~107$

3 0

2 years ago

Express 150 minutes and 3 1/2 hours asa ratio in its lowest term

Gemiola [76]

150 minutes : 3 1/2 hours

3 1/2 hours = 3.5 hours = 3.5 * 60 = 210 minutes

150 minutes : 3 1/2 hours = <span>150 minutes : 210 minutes
</span>
= 150:210

= 15 : 21

= 5 : 7

4 0

3 years ago