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Scilla [17]
3 years ago
9

Factor completely. f(x) = −16x2 + 22x + 3

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

8x(2x+3)-2(x+3)

step by-step explanation:

16x^2+22x+3

16*3=48

2 numbers which have a product of 48 and a sum of 22

=24 and -2

Rewrite the centre term as these two numbers, so

16x^2+24x-2x+3

Factorise each pair of terms.

8x(2x+3)-2(x+3)

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<img src="https://tex.z-dn.net/?f=18%2B0.08B%E2%89%A575" id="TexFormula1" title="18+0.08B&ge;75" alt="18+0.08B&ge;75" align="abs
Ksenya-84 [330]

By expressing the total amount spent as a function and placing the value

of $75 as the amount spent, the number of balls to be bought can be found.

  • The number of paintballs she needs to buy is <u>713 balls</u>
<h3 /><h3>Reasons for arriving at the above response value:</h3><h3>Given parameters;</h3>

The entrance fee = $18

The price per paintball = $0.08

The promotion = $10 off when the total spent is $75

<h3>Required parameter:</h3>

The number of paintball that is to be bought along with the entrance fee

to get the promotion.

<h3>Solution:</h3><h3>Expressing the situation using an equation;</h3>

Let <em>x</em> represent the number of paintballs Carolina needs to buy, we have,

the following linear function;

  • 75 = 18 + 0.08·x

<h3>Solving for <em>x</em>, the number of Carolina needs to buy;</h3>

Therefore;

x = (75 - 18) ÷ 0.08 = 712.5

The value of <em>x</em> = 712.5 which is seven hundred and twelve and a half paintballs.

Given that half paintballs are not mentioned, an extra whole paintball is purchased to make the total paintballs = 713

The total amount = $18 + 713 × $0.08 = $75.04

<h3>Result;</h3>

Therefore;

  • If Carolina buys <u>713 paintballs</u> as well as paying $18 for the entrance fee, she will get the $10 off promotion.

Learn more about linear functions here:

brainly.com/question/6495214

8 0
2 years ago
What is the value of X? GIVING BRAINLIEST FOR WHO ANSWERS BY 5 MINUTES.
krek1111 [17]

Answer:

15

Step-by-step explanation:

triangle is isosceles

4 0
3 years ago
Five thousand tickets are sold at​ $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a
Elis [28]

Answer:

The expected value of this raffle if you buy 1​ ticket is $0.41.

Step-by-step explanation:

The expected value of the raffle if we buy one ticket is the sum of the prizes multiplied by each of its probabilities.

This can be written as:

E(X)=\sum p_iX_i

For example, the first prize is $800 and we have only 1 prize, that divided by the number of tickets gives us a probability of 1/5000.

If we do this with all the prizes, we can calculate the expected value of a ticket.

E(X)=\sum p_iX_i\\\\\\E(X)=\dfrac{1\cdot800+3\cdot200+5\cdot50+20\cdot20}{5000}\\\\\\E(X)=\dfrac{800+600+250+400}{5000}=\dfrac{2050}{5000}=0.41

7 0
3 years ago
At the end of the summer a store marks down the outdoor furniture 8% a family bought 4 chairs in June at 35$ each then 2 more ch
frosja888 [35]

Answer:

$204.4

Step-by-step explanation:

The four chairs bought in June cost $35 each, all together $140. Then they bought 2 more chairs on sale for 8% off of $35 each or 92% of $35 which is $32.2 each, all together $64.4. Both buy's together would then equal $204.4

7 0
3 years ago
2) An $80 text book was on sale for $49.60 at the used book store. By what percent did the book decrease in price?​
boyakko [2]

The answer fam is......... 38%

4 0
3 years ago
Read 2 more answers
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