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ryzh [129]
3 years ago
13

Given the functions f(x)=2x^2-3x-8 and g(x)=3x2+5x+1

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

B

Step-by-step explanation:

the product (2x² - 3x - 8)(3x² + 5x + 1) is required

multiply each term in the second factor by each term in the first factor.

= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute

= 6x^{4} + 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8

collecting like terms gives

6x^{4} + x³ - 37x² - 43x - 8 → B


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Which is bigger 11/18 or 5/14
KengaRu [80]

Among the fractions given in this question 11/18 and 5/14,  the largest fraction is: 3/5.

  • Step-by-step explanation:

To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.

  • Resolution:

\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111

\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714

  • Conclusion:

We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.

7 0
3 years ago
Which expression is equivalent to the following function?
nevsk [136]
<u>Answer </u>

B. f(x) = - (y/x)⁵

<u>Explanation</u>
A negative power means the reciprocal of that number raised to the positive value .
For example, a⁻ⁿ = 1/aⁿ

So, for the question above.
f(x) = -(x/y)⁻⁵
      = - 1/(x/y)⁵
      = - (y/x)⁵
6 0
3 years ago
Read 2 more answers
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 3 ft, 6 ft, 9 ft B. 3 ft, 5 ft, 7 ft
Whitepunk [10]
Answer:
<span>B. 3 ft, 5 ft and 7 ft
</span>
Explanation:
In any triangle, the sum of any two sides must be greater that the third one.

Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle

Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect

2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct

3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect

4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect

Based on the above, the only correct option is B.

Hope this helps :)
4 0
4 years ago
What is x squared minus 4x?
miss Akunina [59]
You need to find x first but it has to be x×x-4x
8 0
3 years ago
Holly decided to share 1/2 of her share of the pizza with Deb. How much did each of them actually?
Whitepunk [10]
They shared half each 

8 0
3 years ago
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