MATHEMATICS COLLEGE

Solve for x: x^2 + 14x + 49

Answers

Answer 1

Answer:

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

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Select the postulate or theorem that you can use to conclude that the triangles are similar.A) AA Similarity Postulate
B) SAS Similarity Theorem
C) SSS Similarity Theorem

Answers

Answer:

Step-by-step explanation:

$\angle JKH = \angle GFH$ (alternate angles)

$\angle JHK = \angle GHF$ (vertically opposite angles)

So answer is (A) AA Similarity Postulate.

A physicians order states that 10 grains of medication are to be give; the tablets contain 2.5 grains each. How many tablets should be given

Answers

4 tablets should be given.

One sample has a mean of and a second sample has a mean of . The two samples are combined into a single set of scores. What is the mean for the combined set if both of the original samples have scores

Answers

Answer:

a) For this case we can use the definition of weighted average given by:

$M = ( \bar X_1 n_1 + \bar X_2 n_2)/(n_1 +n_2)$

And if we replace the values given we have:

$M = (8*4 + 16*4)/(4+4)= 12$

b) $M = (8*3 + 16*5)/(3+5)= 13$

c) $M = (8*5 + 16*3)/(5+3)= 11$

Step-by-step explanation:

Assuming the following question: "One sample has a mean of M=8 and a second sample has a mean of M=16 . The two samples are combined into a single set of scores.

a) What is the mean for the combined set if both of the original samples have n=4 scores"

For this case we can use the definition of weighted average given by:

$M = ( \bar X_1 n_1 + \bar X_2 n_2)/(n_1 +n_2)$

And if we replace the values given we have:

$M = (8*4 + 16*4)/(4+4)= 12$

b) what is the mean for the combined set if the first sample has n=3 and the second sample has n=5

Using the definition we have:

$M = (8*3 + 16*5)/(3+5)= 13$

c) what is the mean for the combined set if the first sample has n=5 and the second sample has n=3

Using the definition we have:

$M = (8*5 + 16*3)/(5+3)= 11$

Which function, g or h, is the inverse function for function f?

Answers

Answer:

first option

imagine the line y = x as a mirror

Answer:

The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"

Which are true about the area of a circle

Answers

Answer:

ironically the units are Always squared and area is the distance around the circle

How many millimeters are equal to one kilometer. Show your work

Answers

Answer:

1,000,000

Step-by-step explanation:

1mm=1e-6km

10mm=1e-5km

100mm=1e-4km

1000mm=000.1km

10000mm=0.01km

100000mm=0.1km

500000mm=0.5km

1000000mm=1km

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Write the quadratic equation whose roots are 4and −1, and whose leading coefficient is 2

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Help D: An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = –16t2 + 1,000. Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?A.-16t^2+1000<300B. -16t^2+1000<_ 300C. -16t^2+1000>_300D.-16t^2+1000>300