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yaroslaw [1]
3 years ago
14

Simplify the following expression. ? 9t2 + 7t + 4 - 2t2 + 5t

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4

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316.7 gal = 2533.6 pints. 

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4 years ago
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A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how ma
lord [1]

Answer:

23 males and 12 females

Step-by-step explanation:

x = # of females

y = # of males

x + y = 35

x + x + 11 = 35

2x + 11 =35    (SUBTRACT 11 FROM BOTH SIDES)

2x = 24          (DIVIDE BOTH SIDES BY 2)

x = 12 females

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3 0
3 years ago
City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
NNADVOKAT [17]
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

6 0
3 years ago
Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6)<br> Explain your steps!!
Lapatulllka [165]
So distribute using distributive property
a(b+c)=ab+ac so

split it up
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group like terms
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the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24




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3 years ago
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