Mathematics College

PRE-CAL/CAL MASTER NEEDED

f ( 2x − 1 ) = 4x^2 − 10x + 6

from f(x)=x^2-3x+2, h(x)=2x-1, f(h(x))

How is this: f ( 2x − 1 ) = 4x^2 − 10x + 6 derived from ^

Answers

Answer 1
for every x you see in the f function you will replace with the h function 
  
PRE-CAL/CAL MASTER NEEDEDf ( 2x 1 ) = 4x^2 10x + 6from F(x)=x^2-3x+2, H(x)=2x-1, F(h(x))How Is This:

Related Questions

How do you write 3.125 expanded form

Answers

3 + 0.1 + 0.02 + 0.005

hope this helps
3+0.100+0.020+0.005 is expanded form

What is the maximum value of 13.7 when rounding to the nearest tenth

Answers

14 because the decimal place has to be greater than 5. If it's above you round up, below you round down.

A class is made up of 14 girls and 15 boys. Use the given information and give the example of the following:
a) Part-to-part ratio
b) part to whole ratio
c)Write the ratio of girls to the whole class in the form of 1:n

Answers

[tex]\bf a)\\\\ \cfrac{girls}{boys}\qquad girls:boys\qquad \cfrac{14}{15}\\\\ \cfrac{boys}{girls}\qquad boys:girls\qquad \cfrac{15}{14}\\\\ -------------------------------\\\\ b)\\\\ \textit{the whole class is 14+15 students, or 29}\qquad \cfrac{\stackrel{girls}{14}}{\stackrel{class}{29}}\qquad \cfrac{\stackrel{boys}{15}}{\stackrel{class}{29}}\\\\ -------------------------------\\\\ c)\\\\ \cfrac{14}{29}\implies \cfrac{14\div 14}{29\div 14}\implies \cfrac{1}{2.07}\implies 1:2.07[/tex]

Answer:

i would say part to whole

Step-by-step explanation:

find the value of x so that f( x ) = 7

Answers

The value for x so that f(x) = 7 is at x = -3.

Using the equation of slope-intercept form (y = mx + b), where m is the gradient and b is the constant, we can find the value of x at which f(x) is equal to 7 as follows:

By observation on the graph, when x = 1, y = 3 and when x = 2, y = 2.

3 = m + b...(1)

2 = 2m + b...(2)

we multiply equation (1) by 2 and subtract equation (2) from the result;

6 - 2 = 2m - 2m + 2b - b

4 = b

putting 4 for b in equation (1) gives;

m = -1

Thus we have the equation for f(x) as

f(x) = (-1)x + 4

For f(x) = 7;

-x + 4 = 7

x = 4 - 7

x = -3.

Therefore, for f(x) to be equal to 7, the value of x is equal to -3.

Dominic earns 285 per week plus an 8% commission rate on all his sales. If dominic sell 4213 worth of merchandise in one week how much will his total earnings for the week be?

Answers

Final answer:

Dominic's total earnings for the week are calculated by adding his fixed salary of $285 to his commission, which is 8% of his sales. The commission on $4,213 worth of sales is $337.04, resulting in total earnings of $622.04.

Explanation:

The question requires us to calculate Dominic's total earnings for the week based on his fixed salary and the commission he makes from sales. Dominic earns a fixed amount of $285 per week plus an 8% commission from his sales. To find his total earnings, we need to calculate his commission from the $4,213 worth of merchandise he sells.

Firstly, we convert the 8% commission rate into decimal form by dividing by 100, which gives us 0.08. Then, we multiply the total sales amount by this decimal to find the commission amount:

Commission = Total Sales × Commission RateCommission = $4,213 × 0.08Commission = $337.04

Next, we add the commission to Dominic's fixed salary to get his total earnings for the week:

Total Earnings = Fixed Salary + CommissionTotal Earnings = $285 + $337.04Total Earnings = $622.04

Therefore, Dominic's total earnings for the week will be $622.04.

PLEASE HELP! number 18

Answers

a. 3 hours, 8x+10=6x+16
b. They would never be the same, because the hourly fee is the same.

what is -1.3 ≥ 2.9 -0.6r graph the solution

Answers

where are the choices?

Write the number with the same value as 32 tens

Answers

The answer is 320
Hope i helped
The answer for this is 320

The answer and how to get it correctly on my own

Answers

The domain means the allowed values for x. In this example, you can work your way backwards through the equation.

On the outside, there is a square root. You know that the argument for the square root has to be zero or positive (>=0), so

-4x + 20 >= 0. This simplifies to x <= 5. The domain therefore is

(-∞, 5]

If you have trouble following this, please say which part needs clarification.

How many atoms of Oxygen (O) are in H3OClO4

Answers

Noah tvtvtcchcuvbyhuhuvtcrctvy
 I think you are looking for 5 if the 4 is a coeffecient to the last oxygen atom

The product of 6 and the sum of 5 and k

Answers

product means multiply, sum means add

 so add 5+k = (5+k)

now multiply that by 6 to get

6(5+k)

what does a negative net worth indicate

Answers

A negative net worth indicates that someone has lost some money. It could indicate that they borrowed more money or spent more money than they made. Regardless on the circumstances, a negative net worth is not a good thing, not is it something to be proud of. It means that your company could go out of business or you may have to file for bankruptcy, which is not fun at all.
A negative net worth indicates that your liabilities exceed your assets.

29,998 round to place underline digit which is 9

Answers

Rounded to what place?
The digit to the right of any of the "9" digits is more than 4, so the number is rounded up. That is, 1 is added to the 9 digit of interest and all digits to its right are set to zero. Your rounded number is 30,000.

Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.

Answers

x + 102 = 180
x = 180 -102
x = 78

y = 115

hope it helps

The value of the x and y are 78° and 115°

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point.

Parallel planes are planes in the same three-dimensional space that never meet.

Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

Given is a figure of parallel lines, m and n, we need to find the values of x and y,

x = 180°-102° [alternate interior angles and linear pair]

x = 78°

y = 115° [corresponding angle]

Hence, the value of the x and y are 78° and 115°

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chase drew the number line below to show -4 + (-3). Is his model accurate? If not, tell what is wrong with his model.

Answers

Chase's model is only accurate if it shows starting at -4 on a number line and moving 3 units left to land at -7. Otherwise, the model requires correction to accurately portray the sum of -4 and -3.

The student's question relates to the operation of adding two negative numbers on a number line. When adding -4 and -3, you start at -4 on the number line and move 3 units to the left because you're adding another negative number. If Chase's model does not show starting at -4 and moving 3 units left to end at -7, then his model is inaccurate. To correct the model, ensure that the number line accurately reflects this movement and resulting position on the number line.

One number exceeds another by 1 the sum of the numbers is 29 what are the numbers

Answers

For this question, we know that the first number is x, and the second number is x+1. Thus x+x+1(sum of the numbers)=29. 2x+1=29. If you do the calculations, you will find out that one number is 14, and the other number is 15. 
To check, you add the numbers together and get 29, their difference is 1.
Thus, it is the correct answer. 

Final answer:

To find the two numbers, we set up two equations, solve for one variable, and find the other. The numbers that satisfy the condition of one exceeding the other by 1 with their sum being 29 are 14 and 15.

Explanation:

The student's question involves finding two numbers where one number exceeds the other by 1 and their sum is 29. To solve this, let's set up a system of equations. We'll call the first number x and the second number y. Based on the question:

x = y + 1 (one number exceeds the other by 1)

x + y = 29 (the sum of the numbers is 29)

Substituting the first equation into the second gives us:

(y + 1) + y = 29

2y + 1 = 29

2y = 28

y = 14

Now that we have the value of y, we can find x:

x = y + 1

x = 14 + 1

x = 15

Therefore, the two numbers are 14 and 15.

Is this better? Its all.. There is no book to read it over so its confusing

Answers

Part A)

Focus on the first column where it says "test finds student lying" since it asks "what percentage..were found to be lying". We can ignore the second column completely.

We have 282 people found to be lying based on the test (bottom of the first column). Of this total, 200 have not cheated meaning that the student isn't lying. This is based on the overall premise given at the top that states "All of them denied having cheated"

Simply divide the two values: 200/282 = 0.70921985815602 which rounds to roughly 0.7092 if you round to four decimal places

Now move the decimal over 2 spots to the right to convert to a percentage
0.7092 ---> 70.92%

Answer: 70.92%
==============================================================
Part B)

We'll use the result from part A. Subtract it from 100%

100% - 70.92% = (100 - 70.92)% = 29.08%

Answer: 29.08%

Note: another way to get this answer is to divide the values 82 over 282 to get 82/282 = 0.29078014184398 and we get the same answer roughly (after rounding)
==============================================================
Part C)

Now we focus on the second column only. We have 1718 people total and of this total, 12 have cheated. Since they initially deny cheating but they really did cheat, this is a lie they tell. 

So 12/1718 = 0.0069848661234 which rounds to 0.0070 and that converts to 0.7%

Note: this isn't 7% or 70%, its point 7 percent

Answer: 0.7%

Find three consecutive even integers such that the sum of the least integer and the middle integer is 30 more than the greatest integer

Answers

Let the first integer be represented by: 2k

the second integer by: 2(k+1)

and the third by: 2(k+2)

Then, 2k + 2(k+1) = 2(k+2) + 30

2k + 2k + 2 = 2k + 4 + 30

4k + 2 = 2k + 34

2k = 32

k = 16

first integer: 2k = 2(16) = 32

second integer: 2(k+1) = 2(16+1) = 2(17) = 34

third integer: 2(k+2) = 2(16+2) = 2(18) = 36

Answer: 32, 34, 36

Write the following ratio using two other notations
3/2

Answers

ratios can be written 3 ways

3/2 or 3:2 or 3 to 2

Every 3 days Seth goes to the grocery store. His best friend Brian goes every 5 days. On what day will they both go to the store on the same day???

Answers

They will both go on Thursday Friday Saturday Sunday Monday
they would never meet.

Given CA=3x-4, AT=4x+1, and CT=32, find AT

Answers

Hello, I assume that CT is of course a line formed by lines CA and AT.

If you add CA and AT you get CT.

3x - 4 + 4x + 1 = 32

3x + 4x = 32 + 4 - 1

7x = 35

7x/7 = 35/7

x = 5

Plug in the value of 5

AT = 4(5)+1 = 20+1 = 21

Your answer is 21

sarah teaches craft classes. she has 214 bags of beads. each bag has enough beads for 22 bracelets. she estimates tht since 200 x 20 = 4000 there are enough beads for at least 4000 bracelets. tell how you can critique sarahs reasoning

Answers

Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.

The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.

Of course, if you want to be sure, you should ask Sarah some questions. For example:

1) What proportion of beads are normally deffective?

2) What proportion of beads are normally lost when crafting?

So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.

Final answer:

Sarah estimated that she could make at least 4,000 bracelets from 214 bags of beads by simplifying the calculation to 200 bags with enough beads for 20 bracelets each. Her estimate was conservative, as the calculation of 214 bags multiplied by 22 bracelets per bag totals 4,708 bracelets, which is greater than her estimate.

Explanation:

To critique Sarah's reasoning, we need to compare her estimate with the actual number of bracelets that can be made with the beads she has. She has 214 bags of beads, each with enough beads for 22 bracelets. To find the actual number of bracelets possible, we multiply the number of bags by the number of bracelets each bag can make:

214 bags × 22 bracelets per bag = 4,708 bracelets.

Sarah estimated that there were enough beads for at least 4,000 bracelets, based on the approximation that 200 bags with enough beads for 20 bracelets each would yield 4,000 bracelets. Although her estimation method simplifies the calculation by rounding down to manageable numbers, the actual total (4,708 bracelets) is greater than her estimate. By using this estimation method, Sarah has effectively ensured she will have more than enough beads for her classes, as her estimate is lower than the actual number.

Theo mom bought an 8 pack of juice boxes at the store for four dollars. Find the unit rate for the juice boxes

Answers

4/8= 0.50

Each juice box cost 0.50 cents.


Hope this helps!

which expression has a value of 15 when p=12 18/p 3p. 18-p p+3

Answers

p+3 because p=12 and you need the answer to be 15 so...12+3=15

The required expression that has a value of 15 is given as P + 3.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Substitute the value of p in the expression,
= P + 3
= 12 + 3
= 15

When the value of p is put on another expression there output value is not 15.

Thus, the required expression that has a value of 15 is given as P + 3.

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Describe the pattern you see when you move from a lesser place-value position to the next greater place-value position.

Answers

The underlying concept applied here is the place values. Each digit of a number holds its own value. The digit increases in value by 10 as it goes from the rightmost to the leftmost digit. Take for example, the number is 111. It contains the same digit of 1. But the ones digit has a value of 1, the tens value has a value of 10, and the hundreds digit has a value of 100. Hence, as you go from the lesser-value digit to the greater-value digit, the value increases by 10.

Express (0.0006) in engineering notation.

Answers

.6 x 10^-3 (Move the decimal in a multiple of 3 and don't forget it's 6 tenths not the whole number 6) In scientific notation this would be;
(the whole number)6 x 10^-4

The minimum sustained wind speed of a category 1 hurricane is 74 miles per hour. The maximum sustained wind speed is 95 miles per hour. Write an absolute value equation that represents the minimum and maximum speeds. Let V represent the wind speed.

Answers

Final answer:

The absolute value equation that represents the range of a category 1 hurricane's wind speed is |V - 84.5| ≤ 10.5. 84.5 is the average of the range and 10.5 is the difference from the range's center to the end.

Explanation:

The absolute value equation that represents the minimum and maximum sustained wind speeds of a category 1 hurricane can be written as |V - 84.5| ≤ 10.5. Here, V stands for the wind speed. The middle value of 74 and 95 is 84.5 (the average of 74 and 95). And the distance from 84.5 to either end of the range (74 or 95) is 10.5. So, the range of speeds is represented by the absolute difference from the center of the range is less than or equal to 10.5.

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what is the written form of 7.007?

Answers

Seven, and One Hundredth of the Seventh

The written form of 7.007 is "seven and seven thousandths." It is derived from the digit 7 representing the units place, and the last digit 7 representing the thousandths place.

The written form of 7.007 is "seven and seven thousandths." To understand the structure of this decimal:

The digit 7 before the decimal point represents the units place, or 'seven'.

The first digit 0 after the decimal point represents the 'tenths' place, which is zero in this case.

The second digit 0 after the decimal point represents the 'hundredths' place, which is also zero.

The third digit 7 after the decimal point is in the 'thousandths' place, which means we have seven thousandths.

Combining these, we get the phrase "seven and seven thousandths," which is the written form of the number 7.007.

A random sample of 50 units is drawn from a production process every half hour. the fraction of nonconforming product manufactured is 0.02. what is the probability that ????̂0.04 if the fraction nonconforming really is 0.02

Answers

Final answer:

The probability that p(hat) < 0.04 if the fraction nonconforming really is 0.02 can be calculated using the normal approximation to the binomial distribution.

Explanation:

To find the probability that p(hat) < 0.04 if the fraction nonconforming really is 0.02, we can use the normal approximation to the binomial distribution.

1. Calculate the mean of the sampling distribution using the formula:

μ = np = 50 * 0.02 = 1

2. Calculate the standard deviation using the formula:

σ = sqrt(npq)


where q = 1 - p = 1 - 0.02 = 0.98

σ = sqrt(50 * 0.02 * 0.98) ≈ 0.99


3. Convert p(hat) to a z-score using the formula:

z = (p(hat) - μ) / σ

z = (0.04 - 1) / 0.99 ≈ -0.96


4. Look up the z-score in the standard normal distribution table to find the corresponding probability.

P(z < -0.96) ≈ 0.166


Therefore, the probability that p(hat) < 0.04 if the fraction nonconforming really is 0.02 is approximately 0.166.

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Complete question:

A random sample of 50 units is drawn from a production process every half hour. The fraction of non-conforming product manufactured is 0.02. What is the probability that p(hat) < 0.04 if the fraction nonconforming really is 0.02?

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solve the following problem correctly 6+6²÷(3+6) x 3

Answers

6 + 6ˆ2 / (3 + 6) X 3
= 6 + 36 / 9 X 3
= 6 + 4 X 3
= 6 + 12
= 18
6 + 36/9 x 3

6 + 4 x 3

6 + 12

18 is your answer

first do the parethesis, squares, multiplication and division (From left to right) and then the addition

hope this helps
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