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sweet [91]
4 years ago
11

If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p*q) (x)

Mathematics
1 answer:
jonny [76]4 years ago
6 0
Hello:
(poq)(x) = p(q(x))=  p(x-3) = 2(x-3)²-4(x-3) = 2(x²-6x+9)-4(x-3)
(poq)(x) = 2x²-12x+18-4x+12
(poq)(x) = 2x²-16x+30... (answer : C )

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Which line is parallel to 2x - y = -3 and goes through (5, 5)?<br><br>​
Sunny_sXe [5.5K]

Answer:

G. y=2x-5

Step-by-step explanation:

First, find the slope from 2x-y=-3

-y=-2x-3

y=2x+3, which means that the slope is 2

Since it is parallel, the given equation and the line we are finding has the same slope.

let y=mx+b, where m=2, y=5, x=5

5=2(5)+b

5=10+b

-5=b

Thus, y=2x-5

8 0
3 years ago
Read 2 more answers
Nina earns $15 for each yard she mowes. she wants to buy a dress that coasts $109. how many yards will she need to mow to earn m
xxTIMURxx [149]

she will need to mow 8 yards because 109 divided by 15 equals 7.2 but she cant just mow 7.2 yards so you round up to 8 yards


8 0
3 years ago
Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea
lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

d) 21.51

Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

\int\limits^y_0 {kx^{2} } \, =1

where y=23

Clearing k=0.00025

a) Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5

b)Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2}  =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6

c) The function is equal to:

f(x)=k(1+2x)

\int\limits^y_0 {k(1+2x)} \, =1

where y=20

k=0.0024

Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3

d) Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2}   =198.4-176.89=21.51

8 0
4 years ago
Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x After what y-value does the exponential functio
Mumz [18]

After the value of y is 4 does the exponential function definitely surpasses the linear function.  

What is exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

Given

Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.

As we can see y1=2x is a linear function and y3=2^x is a exponential function.

The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)

When you graph the equations their point of intersection is (2,4).

Therefore, when y > 4, the exponential function surpasses the linear function.

To know more about linear function click the link given below.

brainly.com/question/6714976

3 0
2 years ago
Chang spent $16
alexandr1967 [171]

Answer:

76 percent

Step-by-step explanation:


8 0
3 years ago
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