A. Commutative Property

B. Definition of Linear Pair

C. Symmetric Property of Congruence

D. Definition of Supplementary

(HELPPP pls)

She saves $3,840 annually into savings account

1. Marissa earns $1,000 after taxes twice a month

This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes

2. Marissa's monthly bills are $1,200.

The monthly bills means expenses that Marissa incurred during the month.

3. Marissa deposits 40% of her remaining monthly income into a savings account

The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).

She deposits 40% of $800 into a savings account.

= 40% x $800

= $320

So, she is saving $320 out of the remaining $800 she has per month.

4. Marissa annually save?

She saves $3,840 annually ($320 x 12 months) into savings account.

However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.

See related question here https://brainly.com/question/18917500

Step-by-step explanation:

(fog)(x) = f[g(x)]

f(g(x))

f(x-2)

since f(x) = 1 / x

answer: 1/x-2

1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

Answer:

tenth term is -256

Step-by-step explanation:

It is geometric progression:

[tex]a_{n} = a( {r}^{n-1} )[/tex]

r » common ratio, r = 2 ÷ (-1) = -2

a » first term, a = ½

n » number of terms, n is 10

[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]

Step-by-step explanation:

everything can be found in the picture

Answer:

[tex]f(0)=-2[/tex]

Explanation:

When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.

When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  f(-x) = x^2 -3x +9

Step-by-step explanation:

Use -x as the argument of the function.

  f(-x) = (-x)^2 +3(-x) +9

  f(-x) = x^2 -3x +9 . . . . . . . . simpify

Step-by-step explanation:

f(x)=-2x²-3

By replacing x with 2, we get

f(2)=-2×2²-3

=-2×4-3

=-8-3

=-11

Step-by-step explanation:

[tex] - 36 \times 72 + 64 \times ( - 72)[/tex]

first carry out the multiplication operation:

[tex] = ( - 36 \times 72) + (64 \times - 72) \\ = - 2592 + ( - 4608)[/tex]

then addition operation:

[tex] = - 7200[/tex]

Answer:

[tex] - 36 \times 72 + 64 \times ( - 72) \\ - 2592 + ( - 4608) \\( - 7200)[/tex]

Step-by-step explanation:

The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?

Call the random variable x.

Now, define a new variable y = x - 5. Note that x - 10 = y - 5.

So, it is clear that (x-10)^3 = (y-5)^3

Also, note that (y-5)^3 can be expanded as follows:

Expand (y-5)³

Result ; y³-15 y²+75 y - 125

Letting E denote expectation with respect to the random variable x, we see that

E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125

Again, recalling that y = x - 5, have

E(y^3) = 140

E(y^2) = 20

E(y) = E(x) - 5 = 5 - 5 = 0

Thus,

E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285

Finally, note that

E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]

So, we get E[(x-10)^3] = -285.

Answer:

|1| = 1

|-4| = 4

|-3| = 3

|2| = 2

Step-by-step explanation:

The absolute value function is defined by

[tex]|x|=\begin{cases}x,&x\ge0\\-x,&x<0\end{cases}[/tex]

Since 1>0, we have |1| = 1.

Since -4<0, we have |-4| = -(-4) = 4.

Since -3<0, we have |-3| = -(-3) = 3.

Since 2>0, we have |2| = 2.

Step-by-step explanation:

Hey there!

See the attached picture.

Hope it helps!

Answer:

Step-by-step explanation:

d

Answer:

11

Step-by-step explanation:

The answer will be 11

as she is thinking of prime number so

111 is not a prime number

aswell as 77 is not a prime number

11 is a prime number and is also a multiple of 11

Answer:

11

Step-by-step explanation:

Answer:

it would be 3025

Step-by-step explanation:

605

x. 5

3025

Answer:

15125

Step-by-step explanation:

   605

   x25

   ------

   3025

+1210

-----------

  15125     

Answer:

The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]

Step-by-step explanation:

Step 1 of 4

[tex]\frac{48x+32y}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]

[tex]=\frac{3x+2y}{2}[/tex]

Step 2 of 4

[tex]\frac{9a-15b}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]

[tex]=\frac{3a-5b}{4}[/tex]

Step 3 of 4

[tex]\frac{6b+24c}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]

[tex]=\frac{b+4c}{3}[/tex]

Step 4 of 4

[tex]\frac{25a+5b+15c}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]

[tex]=\frac{5a+b+3c}{2}[/tex]

Learn more about polynomial, refer :

https://brainly.com/question/13769924

just solve by yourself

Answer:

3

Step-by-step explanation:

fraction is in lowest term is no(b)

Step-by-step explanation:

the answer is in picture

Answer:

The decimal point should be placed after the 0 in 45780.

Step-by-step explanation:

Q7

7/25

(Decimal: 0.28)

Step-by-step explanation:

Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:

= 7/25

= 7 ÷ 25

= 0.28

Answer:

78.5 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 10/2 = 5

A = 3.14 ( 5)^2

A = 78.5 ft^2

Answer:

Yes. It is a rational number.

Answer:

ok bro I will help you don't worry

Answer:

7200

Step-by-step explanation:

Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.

6% of 120000=7200

Answer:

Step-by-step explanation:

12 = 11 1/12 + ____

=> 12 - 11 1/12 = ____

=> (144 - 133) / 12 = ____

=> 11/12 = _____

Hence,

11/12 is the answer

Answer:

the relation between the x-values and y-values of ordered pairs

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

Answer:

nope

Step-by-step explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.