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Q: Describe the graph of a function g by observing the graph of the base function f.
(question and answers pictured)

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Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

Answers:

[tex]\displaystyle \lim_{x\to -3^{+}} h(x) = 1\\\\\displaystyle \lim_{x\to -3^{-}} h(x) = 1\\\\\displaystyle \lim_{x\to -3} h(x) = 1\\\\\displaystyle \lim_{x\to 0^{+}} h(x) = 0\\\\\displaystyle \lim_{x\to 0^{-}} h(x) = 3\\\\\displaystyle \lim_{x\to 2^{-}} h(x) = \infty\\\\\displaystyle \lim_{x\to 2^{+}} h(x) = \infty\\\\[/tex]

The limit exists at -3

The limit does not exist at 0

The limit exists at 2, assuming your teacher allows positive infinity to be an answer (otherwise, the limit doesn't exist).

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Explanation:

If we start on the left side of x = -3, and approach toward x = -3 itself, then we will approach y = 1. Imagine it's like a car on a roller coaster able to move along the curve. If the car is to the left of x = -3, then it goes uphill slowly approaching that limiting value.

If we start on the right side of x = -3, and approach -3 itself, then we approach the same y value as before

So that's how I'm getting

[tex]\displaystyle \lim_{x\to -3^{+}} h(x) = 1\\\\\displaystyle \lim_{x\to -3^{-}} h(x) = 1\\\\\displaystyle \lim_{x\to -3} h(x) = 1\\\\[/tex]

The third limit is basically the combination of the first two limits. If the LHL (left hand limit) and the RHL (right hand limit) are equal, then the limit exists.

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We see that the LHL and RHL at x = 0 aren't the same. So the limit does not exist at x = 0

The LHL for x = 0 is 3 while the RHL for x = 0 is 0.

That explains why

[tex]\displaystyle \lim_{x\to 0^{+}} h(x) = 0\\\\\displaystyle \lim_{x\to 0^{-}} h(x) = 3\\\\\\\displaystyle \lim_{x\to 0} h(x) = \text{DNE}\\\\\\[/tex]

DNE means does not exist

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Lastly, when we approach x = 2 from the left, we head upward toward positive infinity.

So [tex]\displaystyle \lim_{x\to 2^{-}} h(x) = \infty\\\\[/tex]

Also, [tex]\displaystyle \lim_{x\to 2^{+}} h(x) = \infty\\\\[/tex] because we're heading upward forever when approaching x = 2 from the right side.

We can then say [tex]\displaystyle \lim_{x\to 2} h(x) = \infty\\\\[/tex]

Answer:

y -2 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -2 = 3(x-4)

Answer:

25 days

Step-by-step explanation:

6.50 x 8 = 52

52 ÷ 5 = 10.4

10.4 × 4 = 41.6

1040 ÷ 41.6 = 25

Answer:

70

Step-by-step explanation:

X is equal to 70 degrees because angle x and the angle that is 70 degrees are alternate interior angles.

These are alternate interior angles. If two angles are alternate interior angles they are congruent. That means x is also 70 degrees.

Answer:

-15

Step-by-step explanation:

So it's a-1-2x.

rewrite as -4-1-(2*5)

-4-1-10

-4+-1-10

-5+-10

-15

Answer:

- 15

Step-by-step explanation:

a - 1 - 2 x

- 4 - 1 - 2 ( 5 )

- 5 - 10

- 1 5

Answer:

?

Step-by-step explanation:

i font know what to say to arrange

Step-by-step explanation:

5

Sigma (10(n-1) + 3)

n=1

Answer:

28.5

Step-by-step explanation:

X*2/3=19, X=19/(2/3)=57/2=28.5

Answer:

The number is 28.5

Step-by-step explanation:

Let the number be x

Two - third of the number is 19 means

                                                            [tex]\frac{2}{3} \ of \ x = 19[/tex]

Solve for x

[tex]\frac{2}{3} \times x = 19\\\\2 \times x = 19 \times 3\\\\x = \frac{19 \times 3}{2} = 28.5[/tex]

Answer:

Sometimes

Step-by-step explanation:

Constraint

This is regarded as issues/inequalities that is perculiar to the feasible region in a linear-programming problem.

Feasible region

This is simply known as the set of points that answers to(satisfy) the constraints found in a linear-programming problem.

Feasible Solutions is simply equals to solutions that meets all the constraints requirements.

Feasible Region is simply known as the shaded region that is usually called the feasible solution region. It feasible solution point is regarded as any point on or within the boundary of the feasible region.

Optimal Solution for a Linear Programming Problem

Due to the fact that feasible solution gives the best possible value of the objective function, the steps taken includes evaluation of the objective function for each feasible solution and selection of an arbitrary value for profit contribution and knowing all the feasible solutions.

Answer:

4x^2-9x+7+\frac{x-2}{x^2+x+1}

Step-by-step explanation:

Here is a hopefully helpful answer! :)

Answer:

D

Step-by-step explanation:

Have a nice day :)

Answer:

Yes there is alternative way in solving and arithmetic sequence .An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:

a) The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) 0.81

c) 0.039.

d) 0.101

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that [tex]n = 100, \pi = \frac{81}{100} = 0.81[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 - 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.709[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 + 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.911[/tex]

The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) Give the value of the point estimate described in this scenario.

Sample proportion of [tex]\pi = 0.81[/tex]

c) Give the value of the standard error for the point estimate.

This is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.039[/tex]

The standard error is of 0.039.

d) Give the value of the margin of error if you were to calculate a 99% confidence interval.

This is:

[tex]M = zs = 2.575*0.039 = 0.101[/tex]

Answer:100 degrees

Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.

ABC is 100

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

θ = arc* 2

θ = 50*2 = 100

To learn more about arcs refer to:

https://brainly.com/question/1597355

#SPJ2

Answer:

-8

Step-by-step explanation:

1) Total sum of all angles on a traingle is 180.

2) 65+40=105

3)180-105=75

4) -8+83=75

Answer:

x=-8 degree

Step-by-step explanation:

65 + 40 + x + 83 = 180 degree (sum of interior angles of a triangle)

188 + x = 180

x= 180 - 188

x=-8 degree

5 10 15 20 25 30 35 40 45 50 55 60 65 70 75

The required value of function g is (-4x - 5)/(x+2) and graph is shown below.

The parent function of a function is the simplest form of the function, which satisfies all the conditions of the given function.

Given that,

Parent function f(x) = 3/x,

And function g(x) = f(x + 2) - 4.

To find the graph of function g(x), first determine the value of function g(x),

Substitute x = x+2 in function f(x), to determine g(x),

g(x)  = 3/(x+2) -4

       = 3-4(x+2)/x+2

       = 3 - 4x - 8/(x + 2)

       = (-4x - 5)/(x+2)

The required function g(x) is (-4x - 5)/(x+2) .

The graph of function g(x) is shown below.

To learn more about Parent function on:

https://brainly.com/question/17939507

#SPJ2

Answer:

0.34

Step-by-step explanation:

0.34 + 0.34= 0.68

0.68 + 0.68= 1.36

Answer:

0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dinosaur

Event B: Plush.

The probability that a toy Raymond picks out of a box is a dinosaur is 75%.

This means that [tex]P(A) = 0.75[/tex]

The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%.

This means that [tex]P(A \cap B) = 0.3[/tex]

What is the probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.75} = 0.4[/tex]

0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.

9514 1404 393

Answer:

  6.7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  x^2 = 6^2 +3^2 = 45

  x = √45 ≈ 6.7

The missing side length is about 6.7 units.

Answer:

Step-by-step explanation:

hope it helps

Answer:

The answer is B

Step-by-step explanation:

9514 1404 393

Answer:

  x = (10√3)/3 ≈ 5.7735 m

Step-by-step explanation:

The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...

  BC : AB : AC = 1 : √3 : 2

Then ...

  x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m

Step-by-step explanation:

here is your answer

here is your answer

9514 1404 393

Answer:

  x = 9

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠B = ∠A

  4x -17 = 3x -8

  x = 9 . . . . . . . . . . . add 17-3x to both sides

x = 9

Step-by-step explanation:

In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).

∠B = ∠A. (Both are vertical angle so, both are equal to each other).

Substitute the values

4 x - 17 = 3 x - 8

Add 17 - 3 x to each side

4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x

combine like terms

4 x + 0 - 3 x = 3 x - 3 x - 8 + 17

x = 0 + 9

x = 9

Answer:

42

Step-by-step explanation:

20/100*210

20/100=1/5 or 0.2

1/5 or 0.2*210= 42

Answer:

t = 7

Step-by-step explanation:

There are 7 t's on the left side

7t = 49

Divide by 7

7t/7 = 49/7

t = 7

Answer:

the picture can't clean. so I can't solve the problem

Answer:

I will go with (C)

Step-by-step explanation:

So the interior angle of a 9 -sided polygon is 140 °. We can see that x and one interior angle lie on the same side of a straight line, so their sum must be 180 °. So x = 180 ° − 140 °, or x = 40 °. The correct answer is 40 °.                                Hope this helps!

Answer:  50 degrees

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Explanation:

There's a lot of filler and visual distraction going on here. We only need to focus on the points H, C and E. Also, we need to focus on the circle as well. The other stuff is stuff we can ignore.

We're told that angle HCE is 50 degrees. This is a central angle that subtends, or cuts off, arc HE. By definition of arc measures, arc HE is also 50 degrees.

There's not much else to this problem to be honest.