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tiny-mole [99]
4 years ago
17

What is the completely factored form of the expression 16x2 + 8x + 32?

Mathematics
1 answer:
allochka39001 [22]4 years ago
7 0
<span>8 is a common factor for all coeficients so we factor it out first: 8(2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D= -31. We see that D < 0 so 8(2x^2 + x + 4) is the completely factored form.</span>
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A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost
iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

6 0
3 years ago
Help plz. 6th grade math
evablogger [386]

Answer:

2.5z^2+3z+4.2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If one-half of a number decreased by 20 is 40, what is the number?
Anvisha [2.4K]

Answer:

120

Step-by-step explanation:

Just add the 20 back to 40 and times by 2

40 + 20 = 60

60 * 2 = 120

8 0
2 years ago
Read 2 more answers
Can two polynomials be subtracted such that the difference is a trinomial? If so, give an example. (1 point) O Yes. (3x + 3) - (
Paha777 [63]

Answer:

  (d)  Yes. (3x + 3) - (2x + 2y + 4)​

Step-by-step explanation:

The first answer choice results in a monomial, -2y

The second answer choice results in a binomial, x -y

The third answer choice is proved wrong by the fourth answer choice.

The fourth answer choice results in x -2y -1, a trinomial.

4 0
3 years ago
Last year, ginger cost $15 per kilogram. Due to a harvest shortage this year, the price of ginger has to increase by 15% per kil
Anastaziya [24]
<h3>Answer:    17.25 dollars</h3>

=======================================================

Explanation:

15% of 15 = 0.15*15 = 2.25

The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars

------------

As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:

1.15*15 = 17.25

This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15

4 0
3 years ago
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