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3 years ago

Solve the polynomial x² - 7x + 12 = 0 Show each step used to find the solutions.

Mathematics

2 answers:

umka2103 [35]3 years ago

6 0

Answer:

x=4 and x=3

Step-by-step explanation:

The first step to find all factors of 12

1,2,3,4,6,12

and their negative form

-1,-2,-3,-4,-6,-12

we must add two of these numbers to get -7

and the two numbers that add up to -7 are -3 and -4

we can simply plot them into the polynomial (x-3)(x-4)

since x-3=0

we add three to both sides to get x=3

and since x-4=0

add four to both sides

we get x=4

and now check out work which

we can use First out in last (foil) method

(x-3)(x-4)

first

x^2

out

-4x

-3x

last

now we simplify to get x^2-7x+12

so it x=4 x=3 works

Zanzabum3 years ago

4 0

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

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guajiro [1.7K]

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Answer:

B, C

Step-by-step explanation:

Shelby's total earnings will be the sum of the amount she has earned and the amount she can earn working h hours. That latter amount is 25h, since she makes $25 per hour. She wants that total to be at least $2000.

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2 years ago

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kozerog [31]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

What is the expected average of rolling a single die

larisa86 [58]

Answer:

Mathwords: Expected Value. A quantity equal to the average result of an experiment after a large number of trials. For example, if a fair 6-sided die is rolled, the expected value of the number rolled is 3.5. This is a correct interpretation even though it is impossible to roll a 3.5 on a 6-sided die.

Step-by-step explanation:

hope it helps

5 0

2 years ago

Read 2 more answers

An air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maxim

Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

$CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}$

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000$

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

$\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552$

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

$CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}$

$=6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)$

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

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2 years ago

decide whether enough information is given to prove that the triangle is congruent using the SAS congruence theorem. if so, writ

Paladinen [302]

Answer:

Step-by-step explanation:

Given:

ΔCAD and ΔCBD

∠A ≅∠B (Angle)

AD ≅BD (Side)

From the graph we see that

CD≅CD (Side)

because of reflexive propriety ( a line segment is congruent with itself)

If you put in order those congruencies we have SSA witch does NOT prove congruence.

we not use SAS because the angle between the sides is not congruent

8 0

2 years ago