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Vesnalui [34]
3 years ago
8

Simplify the sum. (7u^3 + 8u^2 + 7) + (8u^3 – 3u + 7)

Mathematics
2 answers:
Maslowich3 years ago
6 0

Answer:

15u^3 + 8u^2 - 6u + 13  

Step-by-step explanation:

(7u^3 + 8u^2 + 8) + (8u^3 - 6u + 5)  

= 7u^3 + 8u^2 + 8 + 8u^3 - 6u + 5  

= 7u^3 + 8u^3 + 8u^2 - 6u + 5 + 8  

*Now add the like terms  

= 15u^3 + 8u^2 - 6u + 13  

And that is all your can do!

mihalych1998 [28]3 years ago
3 0

15u^3 +8u^2 - 3u + 14

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Population in a Small Town, USA was 5,054 in 2007. The populations increase by 2% annually. Show and explain all work.
kakasveta [241]

Answer: a. f(x)=5054(1.02)^x

b. The population in 2032 will be 8292.

Step-by-step explanation:

Exponential growth equation: y=a(1+r)^x, where a = initial value , r = growth rate, x = time period

Given: a = 5054 , r= 0.02

a. Required exponential growth function: f(x)=5054(1+0.02)^x

f(x)=5054(1.02)^x

b. For 2032, x= 25

f(25)=5054(1.02)^{25}

\approx8291.62\approx8292

The population in 2032 will be 8292.

5 0
3 years ago
The area of an 11-cm-wide rectangle is 242cm2. What is it's length
VladimirAG [237]
22 centimeters

242 ( area ) divided by 11( width) =22 ( length)
3 0
3 years ago
HELP ME PLEASE PLEASE IM BEGGING
suter [353]

Answer:

FALSE, (2, 9) is not a solution to the set of inequalities given.

Step-by-step explanation:

Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:

irst inequality:

y\geq 4x\\9\geq 4\,(2)\\9\geq 8

so thi inequality is verified as true since 9 is larger or equal than 8

Now the second inequality:

y

This is FALSE since 9 is larger than 4 (not smaller)

Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.

6 0
3 years ago
Write the equation of the circle graphed below.
Darina [25.2K]

Answer:

Your equation is (x - 1)^2 + (y +1)^2 = (\frac{1}{2}  )^2

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (1,-1).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (1,-1) and (x,y) =  (0.5,-1) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(0.5 - (1))^2 + (-1 - (-1))^2 = r^2

(-0.5)^2 + (0)^2 = r^2

1/4= r^2

r^2 = 1/4

r = 1/2

6 0
2 years ago
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ira [324]
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5 0
4 years ago
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