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posledela
3 years ago
13

Factor and simplify 8cos^2x+cosx-9

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0
HELLO DEAR,




GIVEN:-
8cos²x + cosx - 9

8cos²x + 9cosx - 8cosx - 9

cosx(8cosx + 9) - (8cosx + 9)

(cosx - 1)(8cosx + 9)


I HOPE ITS HELP YOU DEAR,
THANKS
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What does these expression represent? 12f+24
Otrada [13]

Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.


Expplanation.


The <em>expression 12f + 24</em> is an algebraic <em>expression</em>, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.


The algebraic expressions are used to <em>represent</em> word statements in mathematical language.


You can analyze each term of the expression and then tell what the total expresssion represents:


  • The first term <em>12f</em>, where f is a variable with degree 1 (the exponent of the variable), <em>represents</em> the multiplication of a quantity (represented by the variable f) by 12.
  • 24 is the constant term, it <em>represents</em> an constand addend.
  • Hence, the total <em>expression represents</em> the multiplication of a quantity  by 12,  and, after the multplication is done, added with 24.


5 0
3 years ago
Monthly earnings total $4513. Find the social security tax deducted.
levacccp [35]
<span>The monthly earning is = 4513 dollars.
Find the security tax.
in US, 3% is the security tax.
3% = 3% / 100 = 0.03
NOw, let's solve with this given digits.
=> 4513 * .03 = 135.39
=> 135.39
Therefore the tax deducted to your salary is 135.39 dollars per month.


</span>
4 0
3 years ago
What is 546 divided by 25 in long division
Phantasy [73]
    ·_21.21
25l546.     25 goes into 54 twice with a remainder of 4
    l50↓
    -----
    l 46      25 goes into 46 once with 21 left
    l 25
   ------
      21
8 0
3 years ago
The following table shows a portion of a four-year amortization schedule. A 4-year amortization schedule. The loan amount or pri
yKpoI14uk [10]

Answer:

  • Option c. $ 9,543.97

Explanation:

The row for month 25 shows that after <em>twenty-five payments</em> <u>the balance of the loan is  $10,356.03</u>

You are told that the<em> loan amount or principal is $ 19,900</em>.

From those two data, you can calculate <em>how much of the principal has been paid off after </em>25 months, because the amount paid off is equal to the loan less the balance after 25 payments:

  • Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97
8 0
3 years ago
Let ​ f(x)=x+2 ​ and ​ g(x)=2x+1 ​ .
gogolik [260]
<h2>x= 0 and x= 1</h2>

Step-by-step explanation:

Given  g(x) = x+2  and   f(x) = 2^x+1

If f(x) = g(x)

⇔2^x+1 = x+2

⇔2^x= x +1

Only x= 1 and x=0 will be satisfy  the above equation.

If x= 1, it gives             and x=0 gives

2^1= 1+1                       2^0=0+1

⇔2=2                          ⇔1=1

7 0
3 years ago
Read 2 more answers
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