What is the parent function of the graph?





y = |x| + 4





y = |x|





y = |x| – 4





y = |x – 4|

Step-by-step explanation:

x = number of heavy equipment operators

y = number of general laborers

x + y = 37 (37 people were hired)

out if this we get e.g.

x = 37 - y

124x + 82y = 3916 (daily rate for each role, in total 3916)

now we use the first equation in the second :

124(37 - y) + 82y = 3916

4588 - 124y + 82y = 3916

672 - 42y = 0

672 = 42y

y = 16

x = 37 - y = 37 - 16 = 21

21 heavy equipment operators were hired.

16 general laborers were hired.

The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

The factorized form for the given polynomials are:

8. 5n(3n² - 4).

10. x²(x - 8).

11. 4x(2x² - 3x + 10).

12. 6x³(1 + 5x).

13. 2w(w² + 3w - 18).

14. 3c²(4c - 1).

15. 2x(x + 3 - 80).

In the question, we are asked to factor the given polynomials.

8. 15n³ - 20n.

The given polynomial is 15n³ - 20n.

The terms are 15n³ and - 20n.

The HCF of the terms is 5n.

Taking the HCF common in the given polynomial, we get 5n(3n² - 4), which is the required form.

Going by the same method, the errors will have a solution as:-

10. x³ - 8x².

The factorized form is x²(x - 8).

11. 8x³ - 12x² + 40x.

Factorized form is 4x(2x² - 3x + 10).

12. 6x³ + 30x⁴.

The factorized form is 6x³(1 + 5x).

13. 2w³ + 6w² - 36w.

The factorized form is 2w(w² + 3w - 18).

14. 12c³ - 3c².

The factorized form is 3c²(4c - 1).

15. 2x² + 6x - 80.

The factorized form is 2x(x + 3 - 80).

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

B'=  ( -1, -3 ) D'= ( 3, -3 )

Step-by-step explanation:

Well we just divide the coordinates of each point by 3!

Answer:

1.32km (answer might differ slightly due to different values of speed of sound, in the range of 320 to 340 ms-1)

Step-by-step explanation:

Speed of lightning = 3 x 10^8 m/s (same as speed of light)

Speed of sound = 330 m/s (most common answer for speed of sound)

Let the time taken for lightning be T seconds

Time taken for thunder to reach her = (T + 4) seconds

Hence, an equation can be formed

Distance between lightning and her = Distance between thunder and her

Distance = Speed x Time

T(3x 10^8) = (T+4)(330)

((3 x 10^8) - 330)T = 4(330)

Solving, T = 4.40 x 10^-6

Hence,

Distance from storm = (4.40 x 10^-6)(3 x 10^8) metres

                                  = 1320m

                                   = 1.32 km

Answer:

0.8 miles(as kilometers 1.28748)

Step-by-step explanation:

You have 4 seconds and then you divide by 5 and then you get 0.8 miles turn that into kilometers and you get 1.28748.

Answer:

She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.

Step-by-step explanation:

Cost now+increase$=new cost

(Part=percent*whole)

Increase=percent increase*cost now

i=12%*$96

i=0.12*96=$11.52

$96+11.52=107.52

Service two⬇️

8.72*12=$105

Yes Clare should switch to service 2 because; cheaper it costs only $105 which is lesser than $107.52

To find the new cost, we will use the expression;

New Cost = Present Cost + increase

However,

Increase = percentage increase * present cost

Increase = 12% * $96

Increase = 0.12 * 96

Increase = $11.52

Thus;

New Cost  = $96 + 11.52

New Cost = $107.52

For Service two;

We are told that digital streaming costs $8.75 per month. Thus;

Cost = 8.75 * 12

Cost = $105

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There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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Answer:

I got u, it is litearly 16540/83.8 = $19737.5

Step-by-step explanation:

its very simple sincen 100-16.2=83.8

Farm c is Marc's farm it have 60 % of purple flowers

To find percentage :

In Farm B it shows that 0.6 are purple flowers .

0.6 is 6 of 10 it is 60 %.

And other farms have 11/20 that is 55% in Farm A

For Farm C only 40 %.

Percentage :

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Answer:

The solution to the equation  log3(x+2)=1 is given by x=1

Step-by-step explanation:

We are given that

\(log_3(x+2)=1\)

We have to find the graph which shows the  solution to the equation log3(x+2)=1.

\(log_3(x+2)=1\)

\(x+2=3^1\)

Using the formula

\(lnx=y\implies x=e^y\)

\(x+2=3\)

\(x=3-2\)

\(x=1\)

Answer:answer is x= -1

Step-by-step explanation:X=-1

The equation of line that passes through (4,3) and is parallel to x + y = 6 is y = -x + 7.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line

x + y = 6

y = -x + 6

Using the slope intercept, slope m is -1

The equation of a parallel line to y = -x + 6 must have a slope similar to the original slope.

Slope of parallel line = -1

Plug the slope m = -1 and point (4,3) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - 3 ) = -1( x - 4 )

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Therefore, the equation of the parallel line is y = -x + 7.

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Answer:

Step-by-step explanation:

\(\frac{tan ~\alpha }{sec~\alpha -cos~\alpha } \\=\frac{\frac{sin~\alpha }{cos~\alpha } }{\frac{1}{cos~\alpha } -cos~\alpha } \\multiply~numerator~and~denominator~by~cos~\alpha \\=\frac{sin~\alpha }{1-cos^2~\alpha }=\frac{sin~\alpha }{sin ^2~\alpha } \\=\frac{1}{sin~\alpha } \\=cosec~\alpha\)

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

Answer is A

Step-by-step explanation:

Thats all And do i need to explain ?

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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A negative Area wouldnt' make any sense, therefore:

Since a negative measure wouldn't make any sense:

Therefore:

Answer:

4.5 cups of lemonade is needed

Step-by-step explanation:

\({\huge{\blue{\bold{\mathfrak{Step\:by\:step\: solution}}}}}\)

To divide 80,000,000 by 200, we can follow these steps:

1. Write out the division problem: 80,000,000 ÷ 200

2. Divide the first digit of the dividend (8) by the divisor (2), which gives us 4.

3. Write 4 above the second digit of the dividend (0), which gives us 40.

4. Subtract 40 from 80, which gives us 40.

5. Bring down the next digit of the dividend (0), which gives us 400.

6. Divide 400 by 200, which gives us 2.

7. Write 2 above the 0 in the dividend, which gives us 4000.

8. Subtract 4000 from 4000, which gives us 0.

So the answer is 400,000. To write it in standard form, we move the decimal point 5 places to the left, which gives us:

\(\purple{4 \times {10}^{5}} \)

The answer is:

400,000

Work/explanation:

Divide:

80 000 000 ÷ 200

\(\sf{400,000}\)

The answer is already in standard form.

Answer:

Implicit function

\(\frac{d y}{d x} = \frac{-1}{2y}\)

Step-by-step explanation:

Explanation:-

Given  y² + x - 3=0 ...(i)

Differentiating equation (i) with respective to 'x', we get

                   \(2 y \frac{d y}{d x} +1 = 0\)

           ⇒     \(2 y \frac{d y}{d x} = -1\)

           ⇒     \(\frac{d y}{d x} = \frac{-1}{2y}\)

                 \(\frac{d y}{d x} = \frac{-1}{2 (3)}\)

                 \(\frac{d y}{d x} = \frac{-1}{6}\)

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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answer = 5

Step-by-step explanation:

A cold water pipe can fill a swimming pool in 4 hours

And a hot water pipe in 6 hours.

If cold water pipe is turned on and hot water pipe is turned on 3 hours later

6-4 = 2

2+3 = 5

5 answer

Answer:

0.6 of an hour

Step-by-step explanation:

A cold pipe takes 4h hours so we can assume ¼ of our job is done in one hour.

After 3 hours go by with the cold pipe on, we have ¼ of the job left.

Now we have our hot pipe, which takes 6 hours for the entire pool, so we can assume that it has a rate of ⅙ per hour. Now since these two pipes are working together we can add them.

⅙ + ¼ = ⁵/₁₂

Now we divide.

Since at the start 3 hours had gone by with the cold pipe that would have been ¾ of our time so, 1 - ¾ = ¼

¼ ÷ ⁵/₁₂ = ⅗ or 0.6 of an hour

We may determine from the principle of congruence that ΔTSV ≅ ΔRSV.

The proof to show that ΔTSV ≅ ΔRSV is called the Midsegment Theorem.

To prove this theorem, we can use the following steps:

Draw segment VR.

Since V is the midpoint of TR, VR is a midsegment of ΔTSV.

Since ∠TVS ≅ ∠RVS are right angles, and VR is a midsegment of ΔTSV, then ΔTSV is a right triangle.

Similarly, since VS bisects ∠RST, then VR is a midsegment of ΔRSV as well.

Since VR is a midsegment of both triangles, and both triangles are right triangles, then by the definition of a midsegment, we can conclude that the lengths of the midsegments are proportional to the lengths of the corresponding sides.

Since TS ≅RS, then the lengths of the corresponding sides of the two triangles are also equal.

Therefore, by the definition of congruence, we can conclude that ΔTSV ≅ ΔRSV.

This is valid proof of the Midsegment Theorem.

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Answer:

f(g(x)) = 12x - 37

Step-by-step explanation:

Step 1: Define

f(x) = 6x + 5

g(x) = 2x - 7

Step 2: Find f(g(x))

f(g(x)) = 6(2x - 7) + 5

f(g(x)) = 12x - 42 + 5

f(g(x)) = 12x - 37

Answer:

2.2 because the 2.2 can be 2.20

The number 2.2 is greater than 2.17.

To determine which number is greater between 2.17 and 2.2, we can compare the digits in each decimal number from left to right. Starting with the first decimal place, we compare the digits "1" and "2". Since 2 is greater than 1, we can conclude that 2.2 is greater than 2.17.

The decimal concept is a way of representing numbers that fall between whole numbers. It is based on the decimal system, which uses a base of 10. In the decimal system, a decimal point is used to separate the whole number part from the fractional part. The digits to the right of the decimal point represent fractions or parts of a whole. Decimals can also be expressed as percentages or fractions. For instance, 0.5 can be written as 50% or 1/2.

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Answer:

he gained 3 pounds :)

Step-by-step explanation:

also im not really sure about the ounces!!!