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gavmur [86]
2 years ago
6

Why did the football coach send in his second string

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
3 0
Because his first string was tied up at the moment
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According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo
aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0
2 years ago
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Oduvanchick [21]

Answer:

The third one is unbiased because its not specific and it's not involving a group of people or a comparison of things. It's also not specific. It's asking about lowering the expensive sales tax in the city and not to certain people, etc..

Hope it's right:)

3 0
2 years ago
Harry's soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. If y represents t
Sergeeva-Olga [200]
The correct answer is y=2/3x
5 0
2 years ago
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Karen had 2 spools of wire. Each spool had 15 7/8 yards of wire. Karen used 3 yards of wire from each spool. How many yards of w
Anna11 [10]

You'd have 25 6/8 yards of wire left because she took 3 yards from each spool. So that gives us 2 spools of 12 7/8 and when you add them you get 25 6/8.

7 0
2 years ago
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Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis
Sati [7]

Answer: The answer is f(x) = (x-3)²-h = (x-3-√h)(x-3+√h).


Step-by-step explanation:  We are given to write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots.

A quadratic function with vertex having x-coordinate k takes the form of a parabola as follows:

f(x)+h=(x-k)^2.

Here, 'k' and 'h' are both real.

Since we the the x-coordinate of the vertex as 3, so k = 3.

Therefore, the quadratic function becomes

f(x)+h=(x-k)^2\\\\\Rightarrow f(x)=(x-k)^2-h\\\\\Rightarrow f(x)=(x-3-\sqrt h)(x-3+\sqrt h).

This is the required factored form of the quadratic function.

See the attached graph, where the x-coordinate of the vertex is 3 and h is taken to be 2 units.

3 0
1 year ago
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