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postnew [5]
3 years ago
9

Easy pints

Mathematics
1 answer:
TEA [102]3 years ago
8 0

f(x)=3^x+10,\ g(x)=4x-2\\\\(f-g)(x)=f(x)-g(x)\\\\\text{Substitute}\\\\(f-g)(x)=(3^x+10)-(4x-2)=3^x+10-4x+2=\boxed{3^x-4x+12}

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A population of bacteria is initially 2,000. After three hours the population is 1,000.
lina2011 [118]

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

5 0
3 years ago
A square rug has an area of 1.44m ^2. Find the length of a side of the rug.
Juli2301 [7.4K]
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5 0
3 years ago
What are the real or imaginary solutions of the polynomial equation?<br> x – 8=1 ?
vampirchik [111]

Answer:

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3 0
3 years ago
(4 7/8) (8 1/10) ( 3) HELP ASAP!!!!!!
Tom [10]

Answer:

8.4

Step-by-step explanation:

(7/8) (4) = 3.5

(1/10) (8) = 0.8

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7 0
3 years ago
HI I need help please <br> Its in the pictures
Brut [27]
1.

r=32\,\text{units}\\\\&#10;A=\pi\cdot r^2=\pi\cdot32^2=1024\pi\,\,\text{units}^2

Answer D.

2.
From secant theorem, we know, that:

|AE|\cdot|BE|=|DE|\cdot|CE|

and from picture:

|BE|=x+1\\\\|CE|=x+4\\\\|AE|=11+x+1=x+12\\\\|DE|=1+x+4=x+5

So we can calculate:

|AE|\cdot|BE|=|DE|\cdot|CE|\\\\(x+12)\cdot(x+1)=(x+5)\cdot(x+4)\\\\&#10;x^2+12x+x+12=x^2+5x+4x+20\\\\&#10;x^2+13x+12=x^2+9x+20\quad|-x^2\\\\13x+12=9x+20\quad|-9x\\\\4x+12=20\quad|-12\\\\4x=8\quad|:4\\\\\boxed{x=2}
8 0
3 years ago
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