All categories

3 years ago

Compare the linear functions expressed by the equation, y = –x + 3, and by data in the table.

Mathematics

2 answers:

Misha Larkins [42]3 years ago

8 0

Answer:

Sample Answer: When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.

Step-by-step explanation:

sample answer on edge

Studentka2010 [4]3 years ago

4 0

Answer:

The slope formula is y2 - y1/x2 - x1.

Step-by-step explanation:

First plug in x = 1, x = 2, and x = 3 in to the equation y = 4x to find the first 3 points(Like the first three are shown for the table.) which are (1, 4), (2, 8), and (3, 12).

The slope of the table would be 9 - 3/3 - 1, after subtracting you get 6/2. You would then divide 6 by 2, which gives you 3. 3 is the slope of the table.

The slope of the equation goes through the same process. 12 - 4/3 - 1, after subtracting it's 8/2, and after dividing you get 4. The slope of the equation is 4.

This means the equation has the greater slope.

You might be interested in

Olin [163]

Answer:

19 degrees

Step-by-step explanation:

From the question given

The interior angles are x+12 and x - 3

Exterior angle is <IJK = 5x-6

Using the rule that states that the sum of interior angle of a triangle is equal to the exterior

<JHI + <HIJ = <IJK

x+12 + x-3 = 5x - 6

2x+9 = 5x -6

2x - 5x = -6-9

-3x = -15

x = -15/-3

x = 5

Get <IJK

Recall that <IJK = 5x - 6

<IJK = 5(5) - 6

<IJK = 25-6

<IJK = 19 degrees

Hence the measure of <IJK is 19 degrees

8 0

2 years ago

Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.

NISA [10]

Answer:

$\frac{\sqrt{\pi}}{4}$

Step-by-step explanation:

You are going to integrate the following function:

$g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}$ (1)

furthermore, you know that:

$\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}$

lets call to this integral, the integral Io.

for a general form of I you have In:

$I_n=\int_0^{\infty}x^ne^{-ax^2}dx$

furthermore you use the fact that:

$I_n=-\frac{\partial I_{n-2}}{\partial a}$

by using this last expression in an iterative way you obtain the following:

$\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}}$ (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

$\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}$

5 0

2 years ago

Read 2 more answers

Whats the answer for 4 and 5? Please I need the answers ASAP.

olga nikolaevna [1]

Answer:

4. 6/15

Step-by-step explanation:

5. 5/3 is the an answer

8 0

2 years ago

Can someone please help me am failing

vichka [17]

All together it equals (of the number of hours he does in a week)
45 because 6 plus 9 is 15 and 15 multipled by 3 is 45 makes sense becuase .. 6 +3 is 9 and 9 +9 is 18 2 weeks equals 14 days 18 subtracted by 14 equals 2 which 45 subtracted by 2 is 43 and that's the esact number of hours he works 43 in a week.

7 0

3 years ago

9) Write an inequality to represent the statement:

Karo-lina-s [1.5K]

Answer:

x + 65 <u>< </u>108

Step-by-step explanation:

8 0

2 years ago