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suter [353]
3 years ago
11

Find the x-intercepts for the parabola defined

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

Answer:

(- 3, 0 ) and (1, 0 )

Step-by-step explanation:

Given

y =2x² + 4x - 6

To find the x- intercepts let y = 0, that is

2x² + 4x - 6 = 0 ← divide all terms by 2

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

The x- intercepts are (- 3, 0 ) and (1, 0 )

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mars1129 [50]

There are 4 teams in total and each team has 7 members. One of the team will be the host team.

Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.

So total number of possible 9 member tournament committees will be equal to:

7C3 \times 7C2 \times 7C2 \times 7C2\\ \\  = 324135

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

9 \times 324135\\ \\  =2917215

Therefore, there are 2917215 possible 9 member tournament committees

8 0
3 years ago
Which of the following statements are not true?
lubasha [3.4K]
That one correct so yes um cause the app said answer must be above 20 characters

6 0
3 years ago
The point (-7,4) is reflected over the line x=-3. Then the resulting point is reflected over the line y=x. Where is the point lo
Ne4ueva [31]

Answer:

  (4, 1)

Step-by-step explanation:

Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

  (-3, 4) = (A +A')/2

  2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)

The reflection over the line y=x simply interchanges the two coordinate values:

  A'' = (4, 1)

3 0
3 years ago
Eli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses 3 cups of chex. He wants to make 12
Bogdan [553]

Answer:

36 cups of Chex total.

Step-by-step explanation:

Well, he will obviously be using 12 cups of pretzels, so let's set that aside. For every cup of pretzels, there are 3 cups of chex. So, multiply 3x12. That will give you how much chex you will need.

4 0
3 years ago
How many permutations are there of the letters in the word surprise?
azamat
Surprise, there 8 letters.
So, 8*7*6*5*4*3*2*1= 40, 320
5 0
3 years ago
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