Mr.Joseph recently received a notice that his average gas and electric bill would increase at the beginning of the year. He went online to see the amount of his last 12 bills. If his average bill over the past 12 month goes up 17%, what can he expect to pay on average next year.

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )

[tex]\frac{y}{9}[/tex] + 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Answer:

Removing the outlier lowers the standard deviation by 1.09

Step-by-step explanation:

Find the standard deviation of the data WITHOUT the outlier first.

If you don't know how to do standard deviation, here are the steps:

1. Find the mean

2. Subtract the mean by the data set values

3. Square the differences

4. Add the squared numbers together and divide by the number of data set values

5. What you have now is the variance, and all you have to do now is square the variance and you have the standard deviation

Repeat this, but WITH the outlier this time.

Final step, just subtract the smaller number (answer you got from the data with the outlier) by the greater number (answer you got from the data without the outlier) and you have your answer: 1.09!

Answer:

A) measure the bearing of A from B

Answer:

False.

Step-by-step explanation:

Answer:

Fourth option

Step-by-step explanation:

We know that A and B are rational numbers because they can be written as the quotient of two integers. Therefore, that eliminates the first and third options because they state that (at least) one of the numbers is irrational but we know that both are rational, hence, they are incorrect. The second option is incorrect because A · B = [tex]\frac{mn}{pq}[/tex], not [tex]\frac{mp + nq}{pq}[/tex], therefore, the correct answer is the fourth option.

Answer:

Step-by-step explanation:

The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.

Answer:

If Z is a complex number:

Z = a + b*i

where a and b are real numbers, and i is an imaginary number.

Then "a" is the real part.

"b*i" is the imaginary part.

The conjugate of Z is:

Zc = a - b*i

So the sign of the imaginary part changes.

Then:

Sum:

Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a

and remember that a is a real number, then 2*a is also a real numer.

The correct answer is "A real number".

Difference:

Z - Zc = (a + bi) - (a - bi) = 2b*i

and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"

Answer: a pure imaginary number

explanation:

The sum of a complex number and its conjugate will always be two times the real part of that complex number.

Z=a+b*i

where a and b are real numbers, and i is an nonexistent number.

Then a is the real part.

"b*i" is the imaginary part.

The connection of Z is:

Zc = a - b*i

So the sign of the imaginary part changes.

Sum:

Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a

and remember that a is a real number, then 2*a is also a real number.

The correct answer is "A real number".

Difference:

Z - Zc = (a + bi) - (a - bi) = 2b*i

Answer:

26cm^2

Step-by-step explanation:

Base = 8cm

Height = 6.5cm

[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]

Substitute values into the given equation

[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]

Answer:

Answer will be the 7/3<x>7/3

Answer:

[tex]x=2i-2,\:x=-2i-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]

[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]

Answer:

Step-by-step explanation:

1 (=1×1×1)

8 (=2×2×2)

27 (=3×3×3)

64 (=4×4×4)

Answer:

All real numbers except 6

Answer:

8x + 3

Step-by-step explanation:

In the expression -3x + 14 - 11 + 11x, we have two pairs of like terms that can be combined together:

-3x, 11x

14, -11

If we rewrite this expression with the like terms together, it would look like this:

-3x+11x + 14-11

To make the addition of -3x and 11x easier, we could switch their places in the expression to make it look like this:

11x-3x + 14-11

(Note: Even though we are switching the terms' places, the -3x still keeps its negative sign when you move it around.

11x-3x is 8x and 14-11 is 3.

Therefore, the expression -3x + 14 - 11 + 11x can be simplified by combining like terms into 8x + 3.

Answer:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.

Given:

The expression is -98 - 31.

To find:

The value of the given expression using the additive inverse.

Solution:

According to the  additive inverse, for any number a,

[tex]a+(-a)=0[/tex]

Using additive inverse, we have

[tex]98+(-98)=0[/tex]      ...(i)

[tex]31+(-31)=0[/tex]           ...(ii)

Now, using (i) and (ii), we get

[tex]98+(-98)+31+(-31)=0[/tex]

[tex](98+31)+(-98-31)=0[/tex]

[tex]129+(-98-31)=0[/tex]

Subtracting 129 from both sides, we get

[tex]-98-31=-129[/tex]

Therefore, the value of given expression is -129.

Answer:

2.16

Step-by-step explanation:

c = -0.3

24c² =

plug in c

24(-0.3)²

solve for the exponent

24(0.09)

multiply

2.16

Answer:

( 6,-1)

Step-by-step explanation:

Point B is at ( 0,3)

We are going down 4 units so subtract 4 from y

and going right 6 units so add 6 to x

(0+6 , 3-4)

( 6,-1) is the location of B'

Answer:

B- its going 4 down from positive 3 which will make it -1 and 6 over from 0 which makes it 6 and that gives you the answer of (-1,6)

Answer:

4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000

Step-by-step explanation:

The given parameters are;

The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0

The number in the thousands of the whole number that Josh wrote = 7

The number in the tens of the whole number that Josh wrote = 2

The value of the whole number that Josh wrote < 500,000

Therefore, we have;

The possible numbers in the hundreds of thousands place = 4, and 2

Which gives the following possible combinations;

The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000

The number of ways of selecting the second number = 3 ways

The number of ways of selecting the third number = 1 way, the number is 7

The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit

The number of ways of selecting the fifth number = 1 way, the number is 2

The number of ways of selecting the sixth  number = 1 ways

The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;

487920 or 497820 or 407829 or 407928 or 487029 or 497028

Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.

Answer: my guess is 9

Answer:

there would be the 8 in the tens place and the 6 in the ones place

Step-by-step explanation:

you can see this in a place value chart

Answer:

1620 peices

Step-by-step explanation:

9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches

1620 inches divided by 4 inches = 405 peices

:)

Answer:

the true one is all fractions containing integers are rational numbers is true

Step-by-step explanation:

i think

Answer:

All fractions containing integers are rational numbers.

Step-by-step explanation:

Answer:

x = [tex]\frac{17}{24}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x

Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus

- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x

Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions

- 15 + 32 = 24x

17 = 24x ( divide both sides by 24 )

[tex]\frac{17}{24}[/tex] = x

Answer:

Step-by-step explanation:

First equation:

          15 - x = - 3

           -x = - 3 - 15

          -x  =  -18  (now negative signs on b.s cut eachother)

            [x  =  18]

Second equation :

         15 - x = 3

          -x = 3 - 15

          - x = -12 ( now negative sign on b.s cut eachother)

            [x = 12]

so x = 18 and x = 12 are not same

Answer:

It is Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

Answer:

1) -12, 2) 70

Step-by-step explanation:

Hope this helps :)

Answer:

oh someone got it already :(((( ugh

Step-by-step explanation:

ro bux

Answer:

A≈110.11

using formula 1/4[tex]\sqrt5(5+2\sqrt5)a2[/tex]

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three