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3 years ago

What is the side length of square A?

Mathematics

1 answer:

SVEN [57.7K]3 years ago

6 0

Cubic measures?.. I dont know the proper term but my best guess is 5 cubic measures

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Suppose that G(x) = F(x-6) - 3. Which statement best compares the graph of

aleksklad [387]

Answer:

Step-by-step explanation:

Since G(x) =F(x-6)-3

So on the x-axis it will shift - 6 units so to the left and - 3 units on the y-axis then 3 units down.

5 0

3 years ago

Select the correct answer.

ryzh [129]

Answer:

I woud answer B

Step-by-step explanation:

An investment account gives the opportunity to grow your money rather than let is sit in the bank.

3 0

3 years ago

Read 2 more answers

Is 16% of 40 the same as 40% of 16

astra-53 [7]

Answer:

yes

Step-by-step explanation:

40% of 16 = 6.4

16% of 40 = 6.4

5 0

3 years ago

The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where

svlad2 [7]

Answer:

$f(x) = -1$

$g(x) =6$

$\frac{-1}{2x + 3} + \frac{6}{3x + 7}$

Step-by-step explanation:

The question is unreadable, however the real polynomial is:

The polynomial fraction is:

$P = \frac{9x + 11}{6x^2 + 23x + 21}$

And the decomposition is:

$\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

The solution is as follows:

$P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

Substitute the expression for P

$\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

Expand the numerator of the polynomial

$\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

Take LCM

$\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}$

Cancel out both denominators

$9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)$

Represent f(x) as A and g(x) as B

$9x + 11} = A*(3x + 7) + B*(2x + 3)$

Open bracket

$9x + 11} = 3Ax + 7A + 2Bx + 3B$

$9x + 11} = 3Ax + 2Bx+ 7A + 3B$

$9x + 11} = (3A + 2B)x+ 7A + 3B$

By comparison:

$3A + 2B = 9$ ---- (1)

$7A + 3B =11$ ---- (2)

Make B the subject in (1)

$B = \frac{9 - 3A}{2}$

Substitute $B = \frac{9 - 3A}{2}$ in (2)

$7A + 3(\frac{9 - 3A}{2}) = 11$

Multiply through by 2

$2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2$

$14A + 3(9 - 3A) = 22$

$14A + 27 - 9A = 22$

Collect Like Terms

$14A - 9A = 22-27$

$5A = -5$

$A = \frac{-5}{5}$

$A = -1$

Recall that:

$B = \frac{9 - 3A}{2}$

$B = \frac{9 - 3 * -1}{2}$

$B = \frac{9 + 3}{2}$

$B = \frac{12}{2}$

$B = 6$

A = -1 and B = 6

$3A + 2B = 9$ ---- (1)

$7A + 3B =11$ ---- (2)

So:

$f(x) = A$

$f(x) = -1$

$g(x) =B$

$g(x) =6$

And the decomposition is:

$\frac{-1}{2x + 3} + \frac{6}{3x + 7}$

6 0

2 years ago

David keeps a range of stationery in his study. one could find pencils, erasers and pens in his study.5/7 of his stationery cons

tiny-mole [99]

The total units of stationery he has would be 55 approximately.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

David keeps a range of stationery in his study.

Let the pencil is represented by x.

Let the erasers be represented by y.

Let the pens be represented by z.

Let n be the stationery.

5/7 of his stationery consists of pencils.

x = 5/7 n

1/6 of the remaining stationery consists of erasers.

y = 1/6 n

There are 20 pens in his study.

z = 20

The total stationery

X + y + z

5/7 n + 1/6 n + 20 = n

20 = n -23/ 36 n

20 = 13 / 36 n

n = 55.38

Therefore, the total units of stationery he has would be 55 approximately.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

6 0

2 years ago