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Artyom0805 [142]
2 years ago
7

A linear function has an x-intercept of 12 and a slope of 3/8. How does this

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

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What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?
WINSTONCH [101]

Given:

The polynomials are:

3x^2y^2-2xy^5

-3x^2y^2+3x^2y^2+3x^4y

To find:

The completely simplified sum of the polynomials.

Solution:

We have,

3x^2y^2-2xy^5

-3x^2y^2+3x^2y^2+3x^4y

The sum of given polynomials is:

Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y

Sum=-2xy^5+3x^4y+3x^2y^2

Therefore, the sum of the given polynomials is -2xy^5+3x^4y+3x^2y^2. It is a polynomial with degree 6 and leading coefficient -2.

5 0
2 years ago
Is a function always a relation
ziro4ka [17]

Answer:

No, to be a function a relation must fulfill two requirements: existence and unicity.

Step-by-step explanation:

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joja [24]

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8 0
2 years ago
Read 2 more answers
12x15y=4140; x+y= ? <br> solve.
Semenov [28]

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

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3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

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2 years ago
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