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Oksi-84 [34.3K]
2 years ago
6

HELPPPPPPP on this question.! I need to pass.

Mathematics
1 answer:
timurjin [86]2 years ago
3 0

9514 1404 393

Answer:

  12.25 (or -18.75)

Step-by-step explanation:

If you pay attention to the square of a binomial, ...

  (x -a)² = x² -2ax +a²

You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².

In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.

So, you can think of this ambiguous question in a couple of ways.

<u>Concern is only with the x-terms</u>:

  x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides

  (x -3.5)² +31 = 12.25 . . . . write the x-terms as a square

<u>Concern with the equation overall</u>:

You want the end result to have the x-terms in the form of the square ...

  (x -3.5)² = x -7x +12.25

The left side of the equation can be put in that form by adding -18.75 to both sides;

  x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides

  x² -7x +12.25 = -18.75 . . . . . . . . . simplify

  (x -3.5)² = -18.75 . . . . . . write the left side as a square

__

The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.

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What is n? If 3 to the power of n equals 27
jok3333 [9.3K]
3^n=27

Solve Exponent.

3^n=27

log(3n)=log(27)(Take log of both sides)

n*(log(3))=log(27)

n=log(27) / log(3)

n=3

4 0
3 years ago
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Jerry says I've got my money in a great account that compounds interest monthly. The equation y=388 (1.008) represents how much
zheka24 [161]

Answer:

(a)His monthly Interest Rate=0.8%

(b)Annual Interest Rate = 9.6%

(c)500(1.008)^m

Step-by-step explanation:

For a Principal P invested at a yearly rate r, compounded m times in t years

Amount at Compound Interest= P(1+\frac{r}{m})^{mt}

Comparing with Jerry's equation y=388 (1.008)

(a)His monthly Interest Rate= 0.008=0.8%

(b)Annual Interest Rate= Monthly Interest Rate X 12 =0.8 X 12 = 9.6%

(c)If I invest $500 at the same rate of return,

Total Money after m months

= P(1+\frac{r}{m})^{mt}=500(1+0.008)^{m}=500(1.008)^m

7 0
3 years ago
Consider the following ordered data. 6 9 9 10 11 11 12 13 14 (a) Find the low, Q1, median, Q3, and high. low Q1 median Q3 high (
IrinaVladis [17]

Answer:

Low             Q1                Median              Q3                 High

6                  9                     11                      12.5                14

The interquartile range = 3.5

Step-by-step explanation:

Given that:

Consider the following ordered data. 6 9 9 10 11 11 12 13 14

From the above dataset, the highest value = 14  and the lowest value = 6

The median is the middle number = 11

For Q1, i.e the median  of the lower half

we have the ordered data = 6, 9, 9, 10

here , we have to values as the middle number , n order to determine the median, the mean will be the mean average of the two middle numbers.

i.e

median = \dfrac{9+9}{2}

median = \dfrac{18}{2}

median = 9

Q3, i.e median of the upper half

we have the ordered data = 11 12 13 14

The same use case is applicable here.

Median = \dfrac{12+13}{2}

Median = \dfrac{25}{2}

Median = 12.5

Low             Q1                Median              Q3                 High

6                  9                     11                      12.5                14

The interquartile range = Q3 - Q1

The interquartile range =  12.5 - 9

The interquartile range = 3.5

7 0
3 years ago
Help please no bias answers
notka56 [123]

Answer:

882 square inches

Step-by-step explanation:

6 0
3 years ago
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When k=7 and q=35 find the value of p in direct proportion method
Arisa [49]
I think the answer is 5.

y = kx is the equation for direct proportionality. I’m guessing your “q” is the “y”, because 35 is easily divisible by 7.

35 = 7x
x = 5
7 0
2 years ago
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