Identify the errors made in finding the inverse of
y = x- + 12x.
x = y2+ 12x
y?=x-12x
y2=-11x
y=V-11x, for x 2 0
Describe the three errors.

Answer:

9-9x

Step-by-step explanation:

Converted from word to standard form.

The value of the equation 9 less than nine times a number is A = 9n - 9 , where n is the number

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 9 less than nine times a number

Let the number be represented as n

On simplifying the equation , we get

A = 9n - 9

Therefore , the value of A is 9n - 9

Hence , the equation is A = 9n - 9 , where n is the number

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The value 8 x 10^5 is 200 times greater than 4 x 10^3

The standard scientific notation is expressed as A * 10^n

where

A is the values between 1 and 10

n is any integer

In order to determine how many times larger is 8 x 10^5 than 4 x 10^3, we will take the ratio;

Ratio = 8 x 10^5/4 * 10^3

Ratio = 8/4 * 10^5/10^3

Ratio = 2 * 10^2

Ratio = 200

Hence the value 8 x 10^5 is 200 times greater than 4 x 10^3

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Answer:

7)B

8)B

9)A

10)C

Step-by-step explanation:

LET ME KNOW IF THIS HELPS.

Answer:

The solutions are

(-2.8, -2.4)   and

(1.8, 11.4)

- to the nearest tenth.

Step-by-step explanation:

x² + 4x + 1 = 3x+6

x² + 4x - 3x + 1 - 6 = 0

x² + x - 5 = 0

Using the quadratic formula:

x = [-1 +/- √((1)² - 4*1*(-5)] / 2

   = (-1 - 4.583) / 2 ,  (-1 + 4.583) / 2

   = -2.791, 1.792.

Substituting for x in the equation:

y = -2.374, 11.374.

The complement of the angle 14° 17' would be; 75° 43'

We want to find the complement of the angle 14° 17'

The complement of 14° is the angle that when added to 14° forms a right angle (90° ).

Now, when an apostrophe is found in the word angles, it means 'angular minutes, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."

Thus, 14° 17' means 14 degrees, 17 minutes.

Now, 17 minutes when converted to degree is;

17/60 degrees = 0.283. Thus; 14° 17' = 14.283

Now, the complement of 14° 17' would be;

90 - 14° 17' = 75° 43'

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Answer:

Negative 2/9 I believe

Step-by-step explanation:

sorry if i am wrong

Answer:

-2/9

Step-by-step explanation:

-16/72

Simplify

We can divide the top and bottom by 8

16 divided by 8 = 2

72 divided by 8 = 9

-2/9

The projected value of the house after 15 years is $347500.

A house is purchased for $145,000.

The value of the house increases each year by 6% of its value the previous year.

Let y(n) denote the value of the house after n years.

Initial value is $145,000.

⇒ y(0) = 145,000

The value of the house increases each year by 6% of its value the previous year.

Therefore the growth is exponential, and we have

y(n) = y(0)(1+0.06)ⁿ

When n = 1

⇒y(1) = 145000 × (1.06)

⇒y(1) = 153700

When n = 2,

⇒y(2) = 145000 × (1.06)²

⇒y(2) = 162922

Therefore, when n = 15,

⇒y(15) = 145000 × (1.06)¹⁵

⇒y(15) = 3,47,500

Therefore, the projected value of the house after 15 years is $347500.

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Answer: total household present are 136

Step-by-step explanation:

Given:

82.1% of Cincinnati households have a computer.

111.804 households in Cincinnati have a computer.

According to ratio and proportions we have:

let total number of houses be x;

then

(111.804/x)*100=percentage of Cincinnati households having  a computer.    [[tex]gain/total*100 =gain %[/tex]]

then

(111.804/x)*100=82.1

cross multiplying we have

x=(111.804*100)/82.1

x=136 households  (Round to the nearest whole number.)

so total household present are 136

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I will need $1,61,884.2 to pay off the mortgage.

This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.

The monthly mortgage payment is $1,345.

Rate of interest is 3.6% per annum.

Time is given to be 10 years.

Simple interest for 10 years = 1345×3.6×10/100

                                            = $ 484.2

So, the total money required to clear the mortgage

= $(1345×12×10) + $ 484.2

= $161400 + $484.2

= $ 1,61,884.2

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Answer: Parentheses

Step-by-step explanation: Parentheses always go first because if you look at the work PEMDAS, P= parentheses, E= exponents, M= Multiplication, D= division, A= addition, and S= subtraction.

The equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

The compound inequality is given as

-22 > -5x - 7 ≥ -3

Add 7 to all sides of the compound inequality

So, we have

7 -22 > -5x - 7 + 7 ≥ -3 + 7

Evaluate the sum in the above compound inequality

So, we have

-15 > -5x  ≥ 4

Hence, the equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

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The total number of holes will be (a)15 and (b) 4 when the drilling machine is used whose standard deviation is 0.0028mm.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The sum of all values divided by the total number of values constitutes a dataset's mean.

The mean of the holes are given as 4.05 mm([tex]\mu=4.08[/tex])

The standard deviation is given as 0.0028 mm([tex]\rho=0.0028[/tex])

Now we will use the z-score and probability distribution to calculate the frequency of the holes to have diameter between 4.048 and 4.0553.

Here [tex]Pr(4.048\leq X\leq 4.0053)[/tex] ,so we need to compute the z-values

[tex]Z_1=\frac{X_1-\mu}{\rho} \\Z_1=\frac{4.048-4.05}{0.0028} \\Z_1=-0.7143[/tex]

Similarly:

[tex]Z_2=1.8929[/tex]

Therefore from the above statements we can say that

[tex]Pr(-0.7143\leq X\leq 1.8929)[/tex]

Solving for probability distribution we get

[tex]Pr(4.048\leq X\leq 4.0053)=0.7333[/tex]

Total number of holes=0.7333 × 20= 14.666..

Therefore the number of holes is 15

Similarly

The z-value corresponding to 4.052 mm is given by 0.71

The z-value corresponding to 4.056 mm is given by:2.14

The probability of the diameter being between 4.052 mm and 4.056 mm is 0.4838 – 0.2611 =0.2227

The number likely to have a diameter between 4.052 mm and 4.056 mm = 0.2227 × 20

= 4.454

= 4, correct to nearest whole number

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Answer:

2/11

Step-by-step explanation:

since the square root of 4 is 2 and that of 121 is 11

Answer:

247

Step-by-step explanation:

divides 2964 entre 12 y obtienes 247

Answer:6.986

Step-by-step explanation:

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

Answer: Standard deviation is 6.986.

Step-by-step explanation:

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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Answer:

y2-y1/x2-x1

-8--3/0-2

Step-by-step explanation:

-8+3/-2=-5/-2=5/2

After simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

So, 6a + (-12b) - 9b + 8a:

Therefore, after simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

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The correct question is given below:
Simplify 6a+ (-12b) - 9b+8a

A. 2a + 3b

B. 14a-21b

C. 2a-21b

D. 14a + 3b

The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

In this question, we have been given an event of a random experiment.

You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.

We need to find the total number of outcomes for event C.

Number of cards in a deck = 52

We know that, the number of club cards in the standard deck of cards = 13

Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

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The amount of time he spent on bicycle is 4.5 hours.

Given Jim began a 145 mile bicycle trip.

The whole trip took 7 hours.

Jim walks at a rate of 4 miles per hour  and rides at 30 miles per hour.

speed = distance / time

time = distance / speed

ride:

d = distance ridden

t = d/30 (given from the problem)

walk:

t = (145 - d)/4 (given from problem)

total trip time:

7 = d/30 + (145 - d)/4.

7 = 4d/120 + 30(145 - d)/120

7×120 = 4d + 30(145 - d)

840= 4d +4350-30d

840 ₋ 4350 = ₋30d ₊ 4d

₋3510 = ₋26d

d = 3510/26

d = 135

d=135 then from here using the formula t = d / s we can solve

t=135/30 = 4.5 hours

hence the amount of time Jim spent on the bicycle is 4.5 hours.

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Answer:

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Step-by-step explanation:

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]

Dividing both numerator and denominator by 2 gives us

[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]

Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

The total amount is $ 6050, and the total interest after 8 months is $1050.

What is interest?

Here,

Period per year = 124 = 3

Total amount = amount  (1 + periodic rate)period

          = $6,050

Total interest = Total amount - amount

          = 6050 - 5000

          = $1,050

Thus,

The total amount is $ 6050, and the total interest after 8 months is $1050.

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Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

Answer:50.5

Step-by-step explanation:

because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.

The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

The given parameters are

Area = 15 square cm

The area is given as

Area = 15 square cm

The formula of area is

Area = Length x Width

Using the above formula, we have:

A) 1 cm and 15 cm ⇒ 15 square cm

B) 2 cm and 7 cm ⇒ 14 square cm

C) 3 cm and 5 cm ⇒ 15 square cm

D) 4 cm and 4 cm ⇒ 16 square cm

Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

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Possible question

The area of a rectangle is 15 square cm

Which of the following could be the rectangle's length and width?

(Area = length x width)

Choose all answers that apply:

A) 1 cm and 15 cm

B) 2 cm and 7 cm

C) 3 cm and 5 cm

D) 4 cm and 4 cm

Answer:

(x+3)(x-3)

Step-by-step explanation:

When factoring x^2-9 you'd look for square multiples of -9.

Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)

Answer:

x<0: 0<x<1; x>1

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is x<0: 0<x<1; x>1.