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spin [16.1K]
1 year ago
13

Evaluate the given problems.1. (3x + 1)(2x2 + x + 8)2. (5y5 – 15y4 + 25y2) ÷ (5y)3. Use long division to solve (x2 + 2x + 4) ÷ (

x + 2)4. Jun constructed a triangular fence for his chickens. Find the area of the triangular fence if its base is x + 3 m and its height is 2x – 4 m.5. The rectangular floor area of a new residential building is 30x2 – 7x – 2 square meters. If its length is 6x + 1 meters, what is its width?
Mathematics
1 answer:
anzhelika [568]1 year ago
5 0

To determine the result of the product of the polynomials, we will use the distributive property:

(a+b)(c)=ac+bc.

Using the distributive property, we get:

(3x+1)(2x^2+x+8)=3x*2x^2+3x*x+3x*8+1*2x^2+1*x+1*8.

Simplifying the above result, we get:

6x^3+3x^2+24x+2x^2+x+8.

Finally, adding like terms we get:

6x^3+5x^2+25x+8.

Answer:

6x^3+5x^2+25x+8.

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3 years ago
Read 2 more answers
Zamira and Courtney share a 16 oz box of cereal. By the end of the week, Zamira has eaten 38 of the box, and Courtney has eaten
12345 [234]

Answer:

12/25 ths of the box is left.

Step-by-step explanation:

I'm assuming you mean 14% and 38%

If so then the first thing you'd do is put 38 and fourteen over 100 such as:

38/100 and 14/100.  You do that because since its a percentage, its the same as the number of that percentage over 100.

Since you now have like terms, you can add them together, in which you add the two numerators (top row), but leaving the denominator (bottom row) the same, and it would give you:

52/100

What you want to do after that is simplify it. Once you simplify it, the simplified version of this is technically still the same as the non-simplified version, just easier to use.

Once you simplify it once, you will get:

26/50 and then if you simplify it again, you'll get 13/25

KEEP IN MIND that this is the amount that HAS BEEN EATEN ALREADY.

After that, you wan to subtract your part from your whole meaning you'd subtract: 25/25 - 13/25

Going back to earlier, you subtract the numerator and leave the denominator the same ONLY because they have like terms(The DENOMINATORS match)

After subtracting, you will get an answer of 12/25ths, which cannot be further simplified either.

Hope this helped!

4 0
3 years ago
Suppose f(x) = 6x^2 + 2x − 7 and g(x) = 4x − 3. Find each of the following functions.
FinnZ [79.3K]

Step-by-step explanation:

(f+g)(x) ➡ f(x) + g(x) ➡ 6x^2 + 2x -7 + 4x - 3 =6x^2 + 6x - 10

(f-g)(x) ➡ f(x) - g(x) ➡ 6x^2 + 2x - 7 -4x + 3 = 6x^2 -2x -4

8 0
3 years ago
The next number in the series 13, 18, 16, 21, 19, is:  <br> 22<br> 23<br> 24<br> 25<br> 26 ...?
Lesechka [4]
I think the best option is 24.

7 0
3 years ago
At a concession stand one person purchased 3 drinks and 3 soft pretzels for a total of $9.00 another person purchased 4 drinks a
kherson [118]

<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>

multiply 1st eq by 2

6d+6p=18.00

<span>multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>

3p=9-3.75

<span>3p=5.25
p=1.75
price of a pretzel=$1.75</span>

<span> price of a drink = $1.25</span>


7 0
3 years ago
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