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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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andre [41]

Since sample size is > 40, we use the z-score in calculating for the confidence interval.

The formula is given as:

Confidence Interval = X ± z * σ / sqrt (n)

Where,

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Confidence Interval = 50,340 ± 1.645 * 10,780 / sqrt (45)

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Step-by-step explanation:

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Zigmanuir [339]
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forty yards of fabric are used to make 9 school banners. how many yards of fabric does banner use? between what 2 whole numbers
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6 0
2 years ago
Read 2 more answers
Add the fractions and simplify 5 2/5 + 2 10/13=
HACTEHA [7]
Simple....

you have:

5 \frac{2}{5} +2 \frac{10}{13}

to convert them into improper fractions:

1.) Take whole number*denominator 

(5*5=25)

2.) Take what you got...and add the numerator

(25+2=27)

3.) Use the original denominator

\frac{27}{5}

Do the same to the other one...

2*13=26

26+10=36

\frac{36}{13}

Now..add...

\frac{27}{5} + \frac{36}{13}

But..you need a common denominator!

\frac{27}{5} * \frac{13}{13}= \frac{351}{65}

\frac{36}{13} * \frac{5}{5} = \frac{180}{65}

Now you can add!

\frac{351}{65} + \frac{180}{65} = \frac{531}{65}

When simplified....

8 \frac{11}{65}

Thus, your answer.






6 0
3 years ago
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