Expand and simplify (4x+3)(2x-5)

Answer:

12.5

Step-by-step explanation:

to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)

25/2=12.5

Answer:

Correct answers are:

g(x) has the maximum greatest value.

h(x) has a a range of all negative numbers.

Step-by-step explanation:

Let us learn about the domain and range of a function first.

Domain of a function is the input that we give to the function for which there is a valid output.

For example, let us consider a function:

[tex]y=F(x) = x^2[/tex]

So, the value of 'x' that we provide to the function is known as the domain of function.

Range of a function is the output value when any input is given to the function.

For example,

[tex]y=F(x) = x^2[/tex]

Let us put x = 4, which will be in the domain of function.

the output will be y = 16 which will be in the range of the function.

Now, let us consider the given functions f(x), g(x) and h(x).

Domain of f(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1, 2}

Range of f(x) = [tex]\{4, 4\frac{1}2, 5\frac{1}2, 6\}[/tex]

Max value of f(x) = 6

Domain of g(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1, 2}

Range of g(x) = [tex]\{6, 6\frac{1}2, 7\frac{1}2, 8\}[/tex]

Max value of g(x) = 8

Domain of h(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1}

Range of h(x) = [tex]\{-3, -2\frac{1}2, -1\frac{1}2\}[/tex]

Max value of h(x) = [tex]-1\frac{1}2[/tex]

For x = 2, the value of h(x) is not given i.e. it is not defined at x = 2, so it is not in the domain. So, domain of all the three functions is not same.

So, the correct options are:

g(x) has the maximum greatest value.

h(x) has a a range of all negative numbers.

Answer:

B,D

Step-by-step explanation:

Edge 2020 100%

Work Shown:

A = area of circle

A = pi*r^2

A = pi*24^2 ... plug in given radius r = 24

A = pi*576

A = 576pi .... exact area in terms of pi

A = 576*3.14 .... replace pi with its approximation

A = 1808.64

A = 1809 ..... rounding to nearest square inch

Answer:

76%

Step-by-step explanation:

First, we need to see how many total squares (parts) there are. There are 50.

Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.

Our fraction is 38/50, which is 76%.

Hope this helped!

Answer: 76 percent

Step-by-step explanation:

We have two squares divided into exactly 25 indentical parts

In the first one 25 squares are shaded wich means 25/25

The second one we only 13 shaded square wich means 13/25

So in total we have 50 squares with 38 shaded ones

Wich means 38/50

38/50= 0.76

Multiply bu 100 to get the percentage wich 76 percent

Answer:

equation= s+26=42

to solve,subtract 26 from both sides

Step-by-step explanation:

lets say the number is S

to increase is to add

S+26=42

solution

S+26(-26)=42-26

S=16

Answer:

Explanation: Correct on Edg 2020.

Answer:

4    -6

Step-by-step explanation:

have a great day!

Multiply the first equation by 2/3 and the second equation by -1.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

3x - (1/4)y = 15

(2/3)x - (1/6)y = 6

Multiply the equation 1 by 2/3, then we have

(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15

x - (1/6)y = 10

Multiply the equation 2 by -1, then we have

(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6

- (2/3) x + (1/6)y = - 6

Multiply the first equation by 2/3 and the second equation by -1.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ3

Answer:

f(-1) = -8

f(1) =  -12

Answer:

26 - 7(n-1)

Step-by-step explanation:

subtract n times 7 from the start value.

But if we want to call the first term n=1, we have to subtract 1 from n.

Answer:

0.9^10

Step-by-step explanation:

The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9

There are 10 questions  that are independent from each other .

The probability to be answered correctly is 0.9  each.  So the probability to answer correctly to all of them is

P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10

Answer:

Step-by-step explanation:

Rewrite the function f(x) = 8√x as y = 8√x.

To find the inverse function, do the following:

1) Interchange x and y.  We get x = 8√y

                                                                             x                        x^2

2) Solve this result for y:  (x/8) = √y  =>  y = ( -------- )^2, or y = ---------

                                                                             8                        64

Answer:

C)

Step-by-step explanation:

The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.

:)

Answer:

4/17

Step-by-step explanation:

There are 4 suits in the standard deck and 13 cards in each suit. The first pick doesn't matter as it doesn't specify which suit we need. Now that we have picked the first card, it will not be replaced, meaning there are now 51 cards, and importantly, only 12 cards left in the same suit as the one we picked. This means the probability that the next card we pick is in the same suit is 12 out of 51, or 12/51, which can be simplified to 4/17.

Answer:

4/17

Step-by-step explanation:

There are 52 cards in a standard deck.

There are 4 suits and 13 cards of each suit in a deck.

You select the first card, and it will be a card of one of the 4 suits.

Now you need to select a second card. You want it to be the same suit as the first card.

There are 51 cards left in the deck and 12 cards left of the same suit as the first card.

p(same suit) = 12/51 = 4/17

Answer:

304 miles

Step-by-step explanation:

Distance = rate times time

changing 4 hours 45 minutes to decimal form

4 45/60 = 4.75

D = 64 mph * 4.75

   =304 miles

Answer:

Null and alternative hypothesis:

[tex]H_0: \pi=0.41\\\\H_a:\pi>0.41[/tex]

Step-by-step explanation:

To perform this hypothesis test we need a sample outcome that is not given in the question (sample size and proportion).

Although, the null and alternative hypothesis can be stated:

- The alternative hypothesis reflects the publisher belief, stating that the population proportion of readers that own a personal computer is significantly higher than 0.41.

- The null hypothesis states the opposite: that the proportion is not signifcantly higher than 0.41.

This can be written as:

[tex]H_0: \pi=0.41\\\\H_a:\pi>0.41[/tex]

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  [tex]0.555 < p < 0.777[/tex]

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             [tex]\r p = \frac{0.555 + 0.777}{2}[/tex]

            [tex]\r p =0.666[/tex]

Generally the margin of error is mathematically represented as

            [tex]E = \frac{1}{2} * K[/tex]

Where  K is the length of the confidence interval which iis mathematically represented as

           [tex]K = 0.777 -0.555[/tex]

         [tex]K = 0.222[/tex]

Hence  

          [tex]ME = \frac{1}{2} * 0.222[/tex]

           [tex]ME = 0.111[/tex]

So the confidence interval can now be represented as

        [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Answer:

[tex]Probability = \frac{3\\}{14}[/tex]

Step-by-step explanation:

Given

Republicans = 10

Democrats = 6

Total = Republicans + Democrats = 10 + 6 = 16

Selection = 3

Required

Probability that all selected members are Republicans

This implies that all selected members are republicans and none are republicans

This is calculated by (Number of ways of selecting 3 republicans * Number of ways of selecting 0 Democrats) / (Total number of possible selections)

First; the number of ways the 3 republicans from 10 can be selected needs to be calculated;

[tex]^{10}C_3 = \frac{10!}{(10-3)!3!}[/tex]

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

[tex]^{10}C_3 = \frac{10*9*8*7!}{3!7!}[/tex]

Divide numerator and denominator by 7!

[tex]^{10}C_3 = \frac{10*9*8}{3*2*1}[/tex]

[tex]^{10}C_3 = \frac{720}{6}[/tex]

[tex]^{10}C_3 = 120[/tex]

Next, the number of ways that 0 republicans can be selected from 6 will be calculated

[tex]^6C_0 = \frac{6!}{(6-0)!0!}[/tex]

[tex]^6C_0 = \frac{6!}{6!0!}[/tex]

[tex]^6C_0 = 1[/tex]

Next, the total number of possible selection will be calculated; In other words number of ways of selecting 3 politicians fro a group of 16

[tex]^{16}C_3 = \frac{16!}{(16-3)!3!}[/tex]

[tex]^{16}C_3 = \frac{16!}{13!3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14*13!}{13!3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14}{3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14}{3*2*1}[/tex]

[tex]^{16}C_3 = \frac{3360}{6}[/tex]

[tex]^{16}C_3 = 560[/tex]

Lastly, the probability is calculated as follows;

[tex]Probability = \frac{^{10}C_3\ *\ ^6C_0}{^{16}C_3}[/tex]

[tex]Probability = \frac{120\ *\ 1}{560}[/tex]

[tex]Probability = \frac{120\\}{560}[/tex]

Simplify fraction to lowest term

[tex]Probability = \frac{3\\}{14}[/tex]

Answer: y=x+2

Step-by-step explanation:

The slope-intercept equation is y=mx+b. The m is slope, and the b is the y-intercept. Since we are given the slope, we can fill it into m. We also know  that the y-intercept is on the y-axis, meaning the x-coordinate is 0. The point we were given is (0,2). This means the y-intercept is 2. Our equation is y=x+2.

Answer:

y=x+2

Step-by-step explanation:

Slope intercept form is:

y=mx+b

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

We know that this line has a slope of 1. Therefore, we can substitute 1 in for m.

y=1x+b

1x is equal to just x, so change 1x to x.

y=x+b

Now we must find the y-intercept, or b.

Y-intercepts are where the line crosses the y axis. The x-coordinate is always a 0.

Therefore, (0,y) is the coordinates of a y-intercept, and the "y" is the y-intercept.

We are given the point:

(0,2)

Since the x-coordinate is a 0, the y-intercept is 2. Substitute 2 in for b.

y=x+b

y=x+2

The equation of the line is y=x+2

Answer:

q = -6

Step-by-step explanation:

given:

9q + (–23) = –77      (add 23 to both sides)

9q = -77 + 23

9q = -54   (divide both sides by 9)

q = (-54)/9

q = -6

Answer:

The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

Step-by-step explanation:

Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.

In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

Answer:

a) P(X>825)

b) This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.

Step-by-step explanation:

We know a priori that 60% of the eligible voters did vote.

From this proportion and a sample size n=1309, we can construct a normal distribution probabilty, that is the approximation of the binomial distribution for large samples.

Its mean and standard deviation are:

[tex]\mu=n\cdot p=1309\cdot 0.6=785.4\\\\\sigma =\sqrt{np(1-p)}=\sqrt{1309\cdot 0.6\cdot 0.4}=\sqrt{314.16}=17.7[/tex]

Now, we have to calculate the probabilty that, in the sample of 1309 voters, at least 825 actually did vote. This is P(X>825).

This can be calculated using the z-score for X=825 for the sampling distribution we calculated prerviously:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{825-785.4}{17.7}=\dfrac{39.6}{17.7}=2.24\\\\\\P(X>825)=P(z>2.24)=0.0126[/tex]

This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.

Answer:

The average number of customers in a line = 2.25

Step-by-step explanation:

We are given;

Mean arrival rate;a = 15 customers per hour

Mean service rate;s = 20 customers per hour

Now, we want to find the average number of customers in the line. It is given by the formula;

N_q = a(W_q) = a²/(s(s - a)

Plugging in relevant values, we have;

N_q = 15²/(20(20 - 15))

N_q = 225/100

N_q = 2.25

Answer:

first number: 9 second number: 63

Step-by-step explanation

lets make a ratio!

since one number is 7 times less than the other, the ratio would be: 1:7.

now to find the answer, you'd have to do 1+7 divided by 72. so basically

x=72/8

then solving that should be simple!

x=9

so 7x would be 63.

Answer:

  2444

Step-by-step explanation:

The total cost is the integral of the marginal cost.

  [tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]

The total cost of producing units 144 through 625 is 2444.

_____

If all you need is a number, a graphing calculator can give you that.

Answer:

The answer is option B.

Hope this helps you

Answer:

The answer is B

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

We can solve the equation by simplifying it.

[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.

[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.

[tex]n = 44[/tex].

Hope this helped!

Answer:

  44

Step-by-step explanation:

  [tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]

Answer:

39 inches

Step-by-step explanation:

sqrt(15^2 + 36^2) = 39

Answer:

It is essential for students

Step-by-step explanation: