which of the following correctly represents the complete factored form of the polynomial f(x)=x^3-x^2-4x-6

Answer:

8.2

Step-by-step explanation:

(4.5)^2+(6.9)^2=c^2

20.25+47.61=67.86

sqrt of 67.86= 8.2 (rounded already) :)

answer:

the answer is A, 5.7ft

step by step:

use trig, 7 is hypotenuse, 4 is opposite, theta(angle) is against wall. you have opp and hyp, sOH cah toa, so use sin. sinø=opp/hyp=4/7

therefore ø= sin^-1(4/7)= 34.85°

onto the next triangle with the ten foot ladder. since she wants it at the same angle from the wall,use 34.85°. you have the hypotenuse, the ladder, 10ft. so you once again use sin.

sin(34.84°) = opp/hyp

rearrange for opposite, the length from the house to the base of the ladder.

opp= sin(34.85°)(10)

opp=5.733ft, then round to 5.7ft.

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/\(12\sqrt{2} \\\)

×12 root 2

sin(45) times 12 root 2=  12

x=12

The number of lights L that are on after t minutes of the stage shows is,

A. L = (1/2)t + 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, When the show starts, 10 lights are on which is a constant in out function.

Every 30 seconds or (1/2) a minute 1 more light comes on.

∴  The function best models the number of lights that are on after t minutes of the stage shows is,

L = (1/2)t + 10.

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Answer:

mark me branlist plz

Step-by-step explanation:

3x^2-3 step 1 - 3(2)^2-3=9

step 2 x=2, y=(2)^3- 3(2)+4

(2,6)

step 3 y=mx+b

6=9(2) +b

b=-12

y=9x-12 yr welcome have a great day

Answer:

5x^2 - 8 I think

Step-by-step explanation:

hope this helps

Answer:

Expanded form

Step-by-step explanation:

Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.

Answer:

none

Step-by-step explanation:

Answer:

We know that Jada has 12 books checked out, and Hon has one third less than that.

one-third of a number is equal to the number divided by 3, in this case, we have the number 12, so a third of 12 is: 12/3 = 4

then if Hon has a third less than 12, Hon has 12 - 4 = 8 books checked out.

Also can u pls mark me brainliest im new

Answer:

210

Step-by-step explanation:

3*10*7

30*7

210

Remember when multiplying even number of negative terms, it cancels out the negative.

Answer:

Step-by-step explanation: 3x^2 + 300 = 0

is a monomial expresion.

Answer:720

Step-by-step explanation:Now let's imagine we are filling them with letters. There are six places we can put the first letter, so after we've placed one letter, we have six different outcomes.

There are then five remaining gaps for the second letter, so we have 5*6=30 different outcomes after two letters.

There are four spaces for the third letter, three for the fourth letter, two for the fifth letter and finally we have to put the sixth letter in the remaining gap.

So we end up with 6*5*4*3*2*1=720 ways to arrange six different letters.

This is called the factorial function, and is denoted by an exclamation mark. The factorial function is defined as the number of ways to arrange n different options and is calculated as n! = 1*2*3*…*(n-1)*n, with a extra bit that 0!=1 as there is one way to arrange a set of 0 objects (this comes into play later in statistics).

Answer:

(9, 4).

Step-by-step explanation:

To find the corresponding point of the function f(x)+5 when (9,-1) is on the graph of f(x), we simply add 5 to the y-coordinate of the point.

If (9,-1) is on the graph of f(x), then the corresponding point on the graph of f(x)+5 would be (9, -1+5), which simplifies to (9, 4).

Therefore, the corresponding point of the function f(x)+5 is (9, 4).

2x + x^2 + 2 is the same as x^2 + 2x + 2

This just means we add both functions.

(2x) + (x^2 + 2)

Solution:

(2x) + (x^2 + 2)

x^2 + 2x + 2

We cannot simplify any further.

Therefore, the answer is C.

Best of Luck!

Answer:

the fourth one

Step-by-step explanation:

hope it helped!!!

Answer:

4(-3x + 4) = 58

expand

-12x + 16 =58

-12x = 58 - 16

-12x = 42

divide both sides by -12

x = -3.5

.　

\( \sf \: ⇏4( - 3x + 4) = 58\)

\( \: \: \)

\( \sf \: ⇏ - 12x + 16 = 58\)

\( \: \: \)

\( \sf \: ⇏12x = 58 - 16\)

\( \: \: \)

\( \sf \: ⇏12x = 42\)

\( \: \: \)

\( \sf \: ⇏ x = 42 \div 12\)

\( \: \: \)

\( \boxed{ \sf \green{⇏x = 3.5}}\)

Answer:

Your answer is: x = 2

So this is your equation answer: x=2 is 2

Step-by-step explanation:

Hope this helped : )

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

Simplifying

8 * 4k + 9 * 5 = (36 + -4) * k + -1(2 * 5)

Multiply 8 * 4

32k + 9 * 5 = (36 + -4) * k + -1(2 * 5)

Multiply 9 * 5

32k + 45 = (36 + -4) * k + -1(2 * 5)

Reorder the terms:

45 + 32k = (36 + -4) * k + -1(2 * 5)

Combine like terms: 36 + -4 = 32

45 + 32k = (32) * k + -1(2 * 5)

Multiply 2 * 5

45 + 32k = 32k + -1(10)

Multiply -1 * 10

45 + 32k = 32k + -10

Reorder the terms:

45 + 32k = -10 + 32k

Add '-32k' to each side of the equation.

45 + 32k + -32k = -10 + 32k + -32k

Combine like terms: 32k + -32k = 0

45 + 0 = -10 + 32k + -32k

45 = -10 + 32k + -32k

Combine like terms: 32k + -32k = 0

45 = -10 + 0

45 = -10

Solving

45 = -10

Answer:

A,B, D

Step-by-step explanation: I just took that test and i got it right

The bisector of an angle construction is illustrated above the perpendicular to a given line. Here option C is the correct answer.

If a line or ray splits an angle into two equal angles, it is said to be an angle bisector. These angles will agree since they are equal.

Think about the angle ∠ABC being bisected by a line MB, as depicted in the accompanying image (a).

The angle ∠ABC is divided by this line MB into two equal angles, the angle ∠ABM and the angle ∠CBM.

The angles ∠ABM and ∠CBM are congruent.

Alternatively put, m ∠ABM  = m ∠CBM.

Since this line MB divides the angle ∠ABC into two equal angles, the angle ∠ABM and the angle ∠CBM, "the bisector of an angle" would be the appropriate response.

Complete question:

Which construction is illustrated above?

A - a perpendicular to a given line at a point on the line

B - an angle congruent to a given angle

C - the bisector of an angle

D - a line segment congruent to a given line segment

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After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

   |                            

   |                            

   |              .            

   |             . .            

   |             . .            

   |             . .            

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . . .        

   |             . . . .        

   |             . . . .        

   |             . . . . .      

   |             . . . . .      

   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

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The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Answer:

C. Method 1 is an observational study because no attempt is made to influence results.

Step-by-step explanation:

Based on the descriptions provided: Method 1 is an observational study because no attempt is made to influence the results. Option 3 is the correct answer.

An observational study is a type of study where researchers observe and collect data without actively intervening or manipulating any variables.

Method 1 involves surveying shoppers and asking them about their detergent use and laundry cleanliness ratings. The researcher is merely collecting data without intervening or manipulating any variables. The study relies on the natural behavior of shoppers and their responses.

Method 2, on the other hand, involves actively creating soiled fabrics and washing them with different detergents. This intervention introduces an element of manipulation, making it more of an experimental study than an observational one.

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Answer:

485

Step-by-step explanation:

first term = 16

second term = 23

common difference= second -. first

=23-16

=7

68 term= a + 67d

=16+67×7

=16 +469

=485

Given,

Inequality : y-5>2x-10

To find,

Draw the graph.

Solution,

We have,

y-5>2x-10

First we simplify the above inequality.

Taking variables to LHS and constant to RHS.

y-2x>5-10

y-2x>-5

The points are (0,-5) and (3,1).

The attached figure shows the graph for the above equation. So, the correct graph is in option (2).

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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