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3 years ago

How do you find X and Y intercepts

2 answers:

5 0

The x intercept is when the line crosses the x axis
the place where the line crosses the x axis is also when y=0
the y intercept is when the line crosses the y axis
the place where the line crosses the y axis is also when x=0

so lets say you have the equation in slope-intercept form
which is y=mx+b

m=slope
b=y-intercept

to find the x intercept, set y to zero and solve
to find the y intercept, find b or set x to zero and solve (which cancels out mx and leaves b)

so exg
y=3x+4
x intercept=y=0 so 0=3x+4
subtract 4 from both sides
-4=3x
divide boht sides by 3
-4/3=x intercept

so y intercept
y=3(0)+4
y=0+4
y=4=y intercept

andreev551 [17]3 years ago

3 0

X and Y intercepts are when a function crosses the x or y axis.
x-intercepts are at (x-value, 0) and y-intercepts are at (0, y-value).

To find the place where a function crosses the x or y axis, you must plug zero in for the opposit variable. This means plugging in 0 in the equation for y when you try to find x-intercepts and 0 in for x when you try to find y-intercepts, and then solve.

EX. the simple linear equation y = 4x + 2

find the x-intercept: 0 = 4x +2
-2 -2
------------
4
(-.5, 0)

find the y-intercept: y = 4(0) +2
y= 2
(0,2)

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Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}

devlian [24]

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

$When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\$

so,

$Point \ A(-8,-3)$

$When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\$

so,

$Point \ B(-4,-1)$

$When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\$

so,

$Point \ C(0,1)$

$When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\$

so,

$Point \ D(2,2)$

$When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\$

so,

$Point \ E(6,4)$

4 0

3 years ago

Please help me with this

SVEN [57.7K]

You can use 1 of 2 methods to solve this problem. You can either solve it traditionally or by just looking at it (you don't necessarily need to convert it to scientific notation to find the answer).

{METHOD 1}- Traditional Method

Scientific Notation is just another way of writing REALLY BIG or REALLY SMALL numbers in a simplified manor

Let's take 232,000,000 for instance

First you want to find your decimal number. Your decimal number has to be Greater than 1 and less than 10.

In this case your decimal number will be 2.32

Then let's could how many decimal places are to the RIGHT of 2.32
Keep in mind that if the number is very small you have to count the decimal places to the LEFT

{METHOD 2}

If you look at 232,000,000 and 2,320,000,000 you can tell that 2,320,000,000 is longer just by looking at it, so you can determine that ....

232,000,000 = 2.32E8
2,320,000,000=2.32E9

Using the same method you can solve the last two.

0.00000431 is a larger number than 0.000000000000431. So you can then determine that.....

0.00000431= 4.31E-6
0.000000000000431=4.31E-13

3 0

3 years ago

SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Fin

Tomtit [17]

Answer:

Mean: 40.17 years.

Standard deviation: 10.97 years.

Step-by-step explanation:

The frequency distribution is in the attached image.

We can calculate the mean adding the multiplication of midpoints of each class and frequency, and dividing by the sample size.

The midpoints of a class is calculated as the average of the bounds of the class.

Then, the mean can be written as:

$E(X)=\dfrac{1}{N}\sum f_iX_i\\\\\\E(X)=\dfrac{1}{60}(3\cdot15+7\cdot25+18\cdot35+20\cdot45+12\cdot 55)=\dfrac{45+175+630+900+660}{60}\\\\\\E(X)=\dfrac{2,410}{60}=40.17$

The standard deviation can be calculated as:

$s=\sqrt{\dfrac{1}{N-1}\sum f_i(X_i-E(X))^2}\\\\\\s=\sqrt{\dfrac{1}{59}[3(15-40.17)^2+7(25-40.17)^2+18(35-40.17)^2+20(45-40.17)^2+12(55-40.17)^2]}$

$\\\\\\s=\sqrt{\dfrac{1}{59}( 1,900.59 + 1,610.90 + 481.12 + 466.58 + 2,639.15 )}\\\\\\s=\sqrt{\dfrac{ 7,098.33 }{59}}=\sqrt{120}=10.97$

4 0

3 years ago

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!! CERTAIN ANSWERS AND I WILL MARK YOU AS BRAINIEST!!!! WISH YOU BEST OF LUCK HOPEFULLY ITS N

AURORKA [14]

Answer:

Minimum is a 4th Degree

Positive; Even

$x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}$

Step-by-step explanation:

Part 1)

The minimum degree of our function will be 4.

Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.

So, it can be anything 1, 3, 5, 7, etc.

However, we will choose the lowest one, 1.

Next, we know that the graph bounces off at 3.

So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.

We choose the lowest one, 2.

Therefore, the minimum degree of our function will be 1+1+2 or 4.

Part 2)

The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.

Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.

This applies to all polynomials with even degrees.

Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.

Part 3)

This is similar to Part 1.

We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: $x=-4, -1, 3$

We know that it passes through $x=-4 \text{ and } x=-1$ . So, these two factors must have an odd multiplicity.

However, since the graph bounces off $x=3$ , this factor must have an even multiplicity.

And we're done!

7 0

3 years ago

A tin man has a head that is a cylinder with a cone on top. the height of the cylinder is 12 inches and the height of the cone i

lisov135 [29]

I believe your answer is b.

3 0

3 years ago

Read 2 more answers