Unit 1 Cumulative Assessment
Multiple Choice
Let f(x) = x2 and g(x) = x - 6. What is f-g?
a
A. X²-6
B. x2 - 36
O
C. x2 - 12x - 36
D. x2 - 12x + 36

Answers

Answer 1
The answer is D good luck

Related Questions

62+(3·4)−24
PLS HELP MEEEEEEEE

Answers

Answer:

50

Step-by-step explanation:

62+(3·4)−24

62+12-24

Final Answer: 50

Answer:

50

Step-by-step explanation: :D

how to solve this equation x²=16​

Answers

Step-by-step explanation:

Hey there!

To solve this type of question, you must take square of variable"X" to right side making it ±squareroot. As it is a quadratic equation it will have two values (±).

Given;

[tex] {x}^{2} = 16[/tex]

Taking (square) to right side. It becomes ± square root.

[tex]x = + - \sqrt{16} [/tex]

[tex]x = + - \sqrt{ {4}^{2} } [/tex]

Cancel square and square root.

[tex]x = + - 4[/tex]

Therefore, X = ±4

Hope it helps...

Answer:

There are two I results found which is x=4 and x=-4

Step-by-step explanation:

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^2-(16)=0  

Step by step solution :

STEP

1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  x2-16  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Factorization is :       (x + 4)  •  (x - 4)  

Equation at the end of step

1 :

 (x + 4) • (x - 4)  = 0  

STEP

2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x+4 = 0  

Subtract  4  from both sides of the equation :  

                     x = -4

Solving a Single Variable Equation:

2.3      Solve  :    x-4 = 0  

Add  4  to both sides of the equation :  

                     x = 4 and/or x=-4

-5(x+2)+3x= Which expression can be written in the box on the other side of the equation

Answers

Answer:

O-2(x+5)

Step-by-step explanation:

I have to much time on my hands

Answer:

-2x-10

Step-by-step explanation:

-5(x+2)+3x=

Distribute

-5x-10 +3x

Combine like terms

-2x-10

3. Give the domain of y= √6-X using set builder notation.​

Answers

Answer:

{x | x ≤ 6}

Step-by-step explanation:

Given

y = √(6 - x)

Required

Determine the domain

We start by setting 6 - x to ≥ 0.

i.e.

6 - x ≥ 0

Add x to both sides

6 - x + x ≥ 0 + x

6 ≥ x

This can be rewritten as

x ≤ 6

Using set builder, the above van be represented as: {x | x ≤ 6}

2/4 = y/10 what is y?

Answers

Answer:

5

Step-by-step explanation:

2/4=y/10

=> 2x10=yx4

=> 20=yx4

=>y=5

Let p: x = 4
Let q: y = -2
Which represents "If x = 4, then y=-2

Answers

helppp i will make brianlest and give u 14 points. answer how to do it explanations and how to put in number line or if u have a answer key online helppp i will make brianlest and give u 14 helppp i will make brianlest and give u 14 points. answer how to do it explanations and how to put in number line or if u have a answer key online ggghhgt(((&&&&788909553212257899points. answer how to do it explanations and how to put in number line or if u have a answer key online

If AABC = ADEC,
ZB = 3x and ZE = 6x - 39

Answers

Answer:

x = 13

Step-by-step explanation:

3x = 6x - 39 solve for x

Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures

Answers

Answer:

1. second

2. -200

Step-by-step explanation:

Just did it on e2020

what is the solution to 6x+5y=19 4x+6y=10

Answers

Answer:

The value of x is 4 and y is -1 .

Step-by-step explanation:

First, you have make any term to have the same coefficient. So I will choose x term :

[tex]6x + 5y = 19 - - - \times 2[/tex]

[tex]12x + 10y = 38 - - - (1)[/tex]

[tex]4x + 6y = 10 - - - \times 3[/tex]

[tex]12x + 18y = 30 - - - (2)[/tex]

Next, you have to solve it by Elimination method :

[tex](1) - (2)[/tex]

[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]

[tex] - 8y = 8[/tex]

[tex]y = - 1[/tex]

[tex]substitute \: y = - 1 \: into \: (1)[/tex]

[tex]12x + 10( - 1) = 38[/tex]

[tex]12x - 10 = 38[/tex]

[tex]12x = 38 + 10[/tex]

[tex]12x = 48[/tex]

[tex]x = 4[/tex]

In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a. What is the probability that a given shipment is acceptable? b. What is the probability that more than 285 out of 300 shipments are acceptable? c. What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?

Answers

Answer:

(a) 0.94

(b) 0.20

(c) 90.53%

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let [tex]p_1[/tex] be the probability that a bearing meets the specification.

So, [tex]p_1=0.9[/tex]

Sample size, [tex]n_1=500[/tex], is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: [tex]\mu_1=n_1p_1=500\times0.9=450[/tex]

Variance: [tex]\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45[/tex]

[tex]\Rightarrow \sigma_1 =\sqrt{45}=6.71[/tex]

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, [tex]X\geq 440.[/tex]

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062[/tex]

Hence,  the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by [tex]p_2[/tex].

[tex]p_2=0.94[/tex]

The total number of shipment, i.e sample size, [tex]n_2= 300[/tex]

Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, [tex]\mu_2[/tex], and variance, [tex]\sigma_2^2[/tex].

Mean: [tex]\mu_2=n_2p_2=300\times0.94=282[/tex]

Variance: [tex]\sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92[/tex]

[tex]\Rightarrow \sigma_2=\sqrt(16.92}=4.11[/tex].

In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977[/tex]

Hence,  the probability that a given shipment is acceptable is 0.20.

(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).

The area right to the z-score=0.99

and the area left to the z-score is 1-0.99=0.001.

For this value, the value of z-score is -3.09 (from the z-score table)

Let, [tex]\alpha[/tex] be the required probability of acceptance of one shipment.

So,

[tex]-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}[/tex]

On solving

[tex]\alpha= 0.977896[/tex]

Again, the probability of acceptance of one shipment, [tex]\alpha[/tex], depends on the probability of meeting the thickness specification of one bearing.

For this case,

The area right to the z-score=0.97790

and the area left to the z-score is 1-0.97790=0.0221.

The value of z-score is -2.01 (from the z-score table)

Let [tex]p[/tex] be the probability that one bearing meets the specification. So

[tex]-2.01=\frac{439.5-500 p}{\sqrt{500 p(1-p)}}[/tex]

On solving

[tex]p=0.9053[/tex]

Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.

The manufactures bearings.

As per the question, the process that a manufacturer bears 90% of the bearings and meet the thickness specifications. The shipment consists of 500 bearings. The shipment if taken has a least 440 and 500 bearings.

the answer is 0.94, 0.20, and 90.53%.

The assumption is that each shipment is randomly taken in a sample of bearings. The chances or the probability that that given shipment are acceptable are 0.94% and the probability that they are more than 285 out of the 300 bearings is 0.205. The part of bearings that must meet the specifications in order to be 99% of shipments is 90.5%.

Learn more about the manufactures bearings.

brainly.com/question/15686369.

Pls help I will give out points and make u the Brainly

Answers

Answer:

x=4

Step-by-step explanation:

thats the answer ^^

Answer:

its the second one

determine if the function f(x)=3^(2x-3) is exponential

Answers

An exponential function gives a variable raised to the power of x, where the variable is a positive real number

Yes, [tex]\underline{f(x) = 3 ^{(2 \cdot x - 3)}}[/tex] is an exponential function

Reason:

An exponential function is a function that can be written in the form;

f(x) = eˣ

Where;

e = Euler's number, which is the number approximately 2.71828

In the general form, an exponential number is a number given in the form;

f(x) = a·bˣ

Where;

b = A positive real number

The given function; [tex]f(x) = 3 ^{(2 \cdot x - 3)} = \dfrac{3^{2\cdot x}}{3^3} = \dfrac{1}{27} \times 9^x[/tex] is an exponential function

Where;

a = [tex]\dfrac{1}{27}[/tex]b = 9

Therefore, the correct response is; Yes, [tex]f(x) = 3 ^{(2 \cdot x - 3)}[/tex] is an exponential function

Learn more here:

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While jumping rope, Juan jumped 24 times in 30 seconds. At this rate, how many times will he jump in 50 seconds?

Answers

Answer:

40

Step-by-step explanation:

In 50 times Juan will jump 40 times.

What is unitary method ?

Unitary method is first finding the value of a single unit and then deriving the required units from the given data.

For example - : A can eat 2 bananas in 2 seconds.So he can eat one banana in 1 second.From this we can calculate how many bananas he can eat in any given time.

According to the given question Juan jumped 24 times in 30 seconds.

∴ In 1 sec Juan will jump 24/30 times which is

= 4/5 times.

So, in 50 secs Juan will jump ( 4/5 × 50 ) = 40 times.

learn more about unitary method here :

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can you help me find the answer please​

Answers

Answer:

Its B (4.69 * 10^8)

Step-by-step explanation:

if u add them all together thats what you get I typed it into a calculator

Help ASAP!!!!!!!!!!!!!!!! (25 POINTS + BRAINLIEST)

A rectangular prism has a square base with side length s units. It also has the curious property that the numerical value of the sum of its edge lengths (in units) is equal to the numerical value of its surface area (in square units).

If one edge of the prism has length 8 units and s 6= 8, then s can be written in the form a + √b, where a and b are integers. Find a + b.

Answers

This is easy solve it I have simplified this question so you can solve it


i do not understand ): please help

Answers

Answer: its 5 and -1  so D

Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables

The answer to this question is d 5,-1

The assets​ (in billions of​ dollars) of the four wealthiest people in a particular country are 47, 30, 28, 18. Assume that samples of size n=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each​ sample, construct a table representing the sampling distribution of the sample mean. In the​ table, values of the sample mean that are the same have been combined.

Answers

Step-by-step explanation:

The 16 possible permutations and their means are:

47, 47: μ = 47

47, 30: μ = 38.5

47, 28: μ = 37.5

47, 18: μ = 32.5

30, 47: μ = 38.5

30, 30: μ = 30

30, 28: μ = 29

30, 18: μ = 24

28, 47: μ = 37.5

28, 30: μ = 29

28, 28: μ = 28

28, 18: μ = 23

18, 47: μ = 32.5

18, 30: μ = 24

18, 28: μ = 23

18, 18: μ = 18

So the frequency distribution of the sample means is:

[tex]\left[\begin{array}{cc}Mean&Frequency\\18&1\\23&2\\24&2\\28&1\\29&2\\30&1\\32.5&2\\37.5&2\\38.5&2\\47&1\end{array}\right][/tex]

The mean of a dataset is the average value of the dataset.

The dataset is given as:

47, 30, 28 and 18

From the above dataset, we can see that the data elements are 4

The sample size is given as:

n = 2

So, the number of different samples is:

[tex]Samples = 4^2[/tex]

[tex]Samples = 16[/tex]

The 16 samples are: {(47,47), (47,30), (47,28), (47,18),(30,47), (30,30), (30,28), (30,18),(28,47), (28,30), (28,28), (28,18),(18,47), (18,30), (18,28), (18,18)}

The mean values of the above samples are: {47, 38.5, 37.5 , 32.5 , 38.5 , 30 , 29 , 24 , 37.5 , 29 , 28 , 23 , 32.5 , 24 , 23 , 18}

Rearrange in ascending order

18, 23, 23, 24, 24, 28, 29,29, 30, 32.5, 32.5, 37.5, 37.5, 38.5, 38.5, 47

So, the table of the sample means is:

Mean             Frequency

18                       1

23                      2

24                      2

28                      1

29                      2

30                      1

32.5                   2

37.5                   2

38.5                   2

47                       1

Total                 16

Read more about sample mean at:

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Write the equation for a line which is parallel to the y-axis but contains the point (3,7).



Help I’ll mark you as the brainliest...there are no other info or answer choices

Answers

Answer:

y=3x-2

Step-by-step explanation:

find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).

A candy store makes 6 1/2 pounds of fudge in 1/4 hr how many pounds of fudge can the store make in 1 hr

Answers

Answer:

26 lbs

Step-by-step explanation:

there are four 1/4 hours in an hour  1/4 x4=1 hour

6 1/2 x4= 26 lbs in an hour

16-3p=3/2p+5 solve for P

Answers

P would equal 22/9 or as a mixed number, 2 4/9.

which number line model represents the expression -2+ (- 7/2)

Answers

Answer: -5.5

Step-by-step explanation:

(; -2= 7/2

-5+ 7 =12

12/2=5


What number is 272 less than 2,744?

Answers

Answer: 2472

Step-by-step explanation: It is just 2744 minus 272

Answer:

2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper

394434
3,757
Hi My name is Ella and I need help

Answers

Answer:

39,443

-

3,757=

36, 3 1 1 4

what fraction is equivilent to 2/-6?

Answers

Answer:

2/6 is equivilent to 1/3

Step-by-step explanation:

You simplify it and then divide by the biggest number that goes into both.After,dividing you get 1/3.Your welcome.

1,826.5 divided by what equals 18265

Answers

Answer:

33361022.5

Step-by-step explanation:

Question 9 of 10 What is the scale factor of ABC to DEF? ​

Answers

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.

On which interval are both the sine and cosine functions increasing?

A (3pi/2, 2pi)
B (pi/2, pi)
C (0, pi)
D (pi, 3pi/2)

Answers

Answer: It’s A

Step-by-step explanation:

On the interval (3π/2, 2π), both the sine and cosine functions are increasing.

What are the values of sine and cosine functions at (0, π/2, π, 3π/2, 2π)?

The values of sine and cosine functions at (0, π/2, π, 3π/2, 2π) are as follows:

sin (0) = 0;          cos (0) = 1

sin (π/2) = 1;        cos (π/2) = 0;

sin (π) = 0;          cos (π) = - 1

sin (3π/2) = - 1;   cos (3π/2) = 0

sin (2π) = 0;       cos (2π) = 1

Therefore, it is clear from the above values of sine and cosine that on the interval (3π/2, 2π), both the sine and cosine functions are increasing.

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1,052.785 rounded to the nearest hundredths place

Answers

Hello! The correct answer is 1,052.79.

You may remember the rounding rule..0-4 goes down, 5-9 goes up..

✨ You underline the "8" in "1,052.785". ✨

We can see, the number behind it is "5", which means 8 goes up once.

**ONLY** the 8 goes up, everything stays.

⌨ Which makes it 1,052.79! ⌨

Therefore, your answer is 1,052.79, I hope this helps you.

✔ Please give me brainiest!! ✔

®

Which answer choice shows these three expressions in order from least to greatest?

Answers

Answer:

Option D.

Step-by-step explanation:

Convert each to a decimal.

pie + 8 = 11.14

5 and the square root of 20 = 22.36

10/ the square root of 3 = 5.77

Now put them in order from least to greatest.

10/ the square root of 3, pie + 8, 5 and the square root of 20.

Option D is your answer!

The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.

Answers

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

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