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amm1812
3 years ago
10

Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

x=1, x=-6

Step-by-step explanation:

x^2+5x-6=0 can be reduced to (x+6)(x-1)=0

we now have x+6=0 and x-1=0

solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.

x=1, x=-6

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The Lacrosse booster club is holding a raffle for a fundraiser. They will sell 100 tickets for $5 each and select 4 winners. All
Nadusha1986 [10]

Answer:

<h2>There are 3,921,225 ways to select the winners.</h2>

Step-by-step explanation:

This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.

Combinations without repetitions are defined as

C_{n}^{r}  =\frac{n!}{r!(n-r)!}

Where n=100 and r=4.

Replacing values, we have

C_{100}^{4}  =\frac{100!}{4!(100-4)!}=\frac{100!}{4! 96!}=\frac{100 \times 99 \times 98 \times 97 \times 96!}{4! \times 96!}=  \frac{94,109,400}{24}= 3,921,225

Therefore, there are 3,921,225 ways to select the winners.

Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.

3 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided graph.
AlekseyPX

The solutions to the system of equations are (-2,-6) and (4,6)

<h3>How to determine the system of equations?</h3>

We have:

-2x + y = -2

y = -\frac12x^2 + 3x + 2

Next, we plot the graph of both functions.

From the attached graph, the equations intersect at (-2,-6) and (4,6)

Hence, the solutions to the system of equations are (-2,-6) and (4,6)

Read more about system of equations at:

brainly.com/question/21405634

#SPJ1

5 0
2 years ago
What is the solution for the determinant?
Liono4ka [1.6K]
<span>The value of the determinant of a 2x2 matrix is the product of the top-left and bottom-right terms minus the product of the top-right and bottom-left terms.

The value of the determinant of a 2x2 matrix is the product of the top-left and bottom-right terms minus the product of the top-right and bottom-left terms.

= [ (1)(-3)] - [ (7)(0) ]
= -3 - 0
= -3

Therefore, the determinant is -3.

Hope this helps!</span>
4 0
3 years ago
Will Give Brainlyest Please Help!!
Rainbow [258]
Well, since these are rectangles, and both have 2 measurements, it would be quite simple, you must find how 9 and 15 are similar, then see if that same similarity is found within the 3 and the 5.
the answer is yes, they are similar because...
9×1 1/3=15
and
3× 1/3=5
therefore they are similar.
hope this helped, plz follow me
5 0
3 years ago
There are a total of 12 bicycles and tricycles in a parking lot. If there are 31 wheels in all, how many of them are bicycles?
leva [86]

Answer:

5 bicycles

Step-by-step explanation:

5 * 2 = 10 wheels

7 * 3 = 21 wheels

10 + 21 = 31

Hope this helped! Brainliest :)

6 0
2 years ago
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