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pishuonlain [190]
3 years ago
7

Can someone help me find the x-intercepts of f(x) = 3x^2 + 6x - 24?

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0
(2,0) and (-4,0) hope this helps❤️
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The answer to  your question is 0.06
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Sebastian has 12 more trophies than megan. Megan has t trophies. How many trophies does sebastian have
lina2011 [118]

Answer:

t+12 trophies

Step-by-step explanation:

Since we cannot determine the value of t, the only thing we can do is write the expression t+12

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You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy.
Alchen [17]

Answer:

A. 3 possible combinations

B. 8 4-ounce's bags and 3 3-ounce's bags

C. 2 4-ounce's bags and 11 3-ounce's bags

D. 8 4-ounce's bags and 3 3-ounce's bags

E. All solutions offer the same revenue.

Step-by-step explanation:

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then

4x+3y=41.

A. Find all integer solutions:

  • When x=0, then 3y=41 - impossible, because 41 is not divisible by 3.
  • When x=1, then 3y=37 - impossible, because 37 is not divisible by 3.
  • When x=2, then 3y=33, y=11 - possible.
  • When x=3, then 3y=29 - impossible, because 29 is not divisible by 3.
  • When x=4, then 3y=25 - impossible, because 25 is not divisible by 3.
  • When x=5, then 3y=21, y=7 - possible.
  • When x=6, then 3y=17 - impossible, because 17 is not divisible by 3.
  • When x=7, then 3y=13 - impossible, because 13 is not divisible by 3.
  • When x=8, then 3y=9, y=3 - possible.
  • When x=9, then 3y=5 - impossible, because 5 is not divisible by 3.
  • When x=10, then 3y=1 - impossible, because 1 is not divisible by 3.

You get 3 possible combinations.

B. 1. 2 + 11 = 13,

2. 5 + 7 = 12,

3. 8 + 3 = 11.

The minimal number of bags is 11.

C. 1. 2·7+11·5=69 cents

2. 5·7+7·5=70 cents

3. 8·7+3·5=71 cents

The cheapest is 1st solution.

D. 1. 2·6+11·5=67 cents

2. 5·6+7·5=65 cents

3. 8·6+3·5=63 cents

The cheapest is 3rd solution.

E. 1. 2·2+11·1.50=$20.50

2. 5·2+7·1.50=$20.50

3. 8·2+3·1.50=$20.50

All solutions offer the same revenue.

5 0
3 years ago
A pair of equations is shown below: y = 8x − 9 y = 4x − 1 Part A: Explain how you will solve the pair of equations by substituti
insens350 [35]
Here's the first part:

y = 8x - 9  --(i)
y = 4x - 1 -- (ii)

then in eqn( i),
 4x - 1 = 8x -9   (from eqn( ii) )
 -1 +9 = 8x -4x
8 = 4x
x =2 

then in eqn (i),
y = 8*2 -9
   = 16 -9
   = 7

The 2nd part:

When these two equations are graphed, at point (2,7) the lines representing the two equations intersect because these values (2,7) satisfies the given equations.

5 0
3 years ago
Last week, 4/5 of the students in Mr. Zanker's class went on a field trip. 9/10 of
Basile [38]

Answer:

The average of students in the two classes who went on the field trip is \frac{17}{20}.

Step-by-step explanation:

Average = \frac{sum \:  \: of \:  \:observations }{no. \:  \: of \:  \:observations}

Average of students in the two classes =

\frac{ \frac{4}{5}  +  \frac{9}{10} }{2}

\frac{ \frac{8+9 }{ 10} }{2}

\frac{ \frac{17}{10} }{2}

\frac{17}{20}

7 0
2 years ago
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