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Natali [406]
3 years ago
13

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an

equation using the quadratic formula. What are the solutions to the equation?
Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

              \underline{x\in\left\{-6\,,\ 1\right\}}

Step-by-step explanation:

x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1

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5
zepelin [54]

The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Learn more about the probability

here: brainly.com/question/24756209

#SPJ10

6 0
2 years ago
A $104,000 selling price with $24,000 down at 81⁄2% for 25 years results in a monthly payment of
Katena32 [7]
Okay so first I am taking it that you have to subtract 24k from the 104k which brings it to 80,000.
I am also taking it that the 8.5% is suppose to be in decimal form which makes it .085%
Take the 80,000 and use the monthly payment formula, which is really easy to use.
Monthly payment should be 644.18
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3 years ago
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Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree
Alika [10]

Answer:

the area sector is 123.2

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3 years ago
What is the value of x in the equation 4x – 2(x + 3) = 8? Show ALL steps in the space below:
Rzqust [24]

Answer:x=1

Step-by-step explanation:

4 0
2 years ago
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Find the zeros of the function (x+3)^2(x-5)^6 and state the multiplicity
nikklg [1K]
Find the zeros<span> of Function (</span>x)= (x+3)^2(x-5)^6 and state the multiplicity. ... (x--5)^6<span> = 0=> </span>x--5<span>= 0 => </span>x<span> = </span>5<span>. Therefore real </span>zero's of the function<span> are --</span>3<span>,5.</span><span />
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3 years ago
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