What is the range of the function g(x) = –3sec(2x + 4) – 1?

(–∞, –2] ∪ [0, ∞)
(–∞, –4] ∪ [0, ∞)
(–∞, –4] ∪ [2, ∞)
(–∞, –5] ∪ [1, ∞)

Answers

Answer 1

The range of the function g(x) will be (–∞, –4] ∪ [2, ∞). Option C is correct.

What is the difference between domain and range?

The domain denotes all potential x values, while the range denotes all possible y values.

When we plot the graph of the given function we will get the maximum and the minimum value till we get the function plot. The difference in the value of those coordinates is the range of the function.

The range of the function g(x) will be (–∞, –4] ∪ [2, ∞).

Hence option C is correct.

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What Is The Range Of The Function G(x) = 3sec(2x + 4) 1? (, 2] [0, ) (, 4] [0, ) (, 4] [2, ) (, 5] [1,

Related Questions

what is the value of the fourth term in a geometric sequence for which a1=10 and r =0.5

Answers

Answer: 1.25

Step-by-step explanation:

The explicit formula for the sequence is [tex]a_{n}=10(0.5)^{n-1}[/tex]

Substituting in n=4,

[tex]a_{4}=10(0.5)^{4-1}=\boxed{1.25}[/tex]

The polynomial f(x) has degree 3. Choose each statement that could describe all zeros of f.

Answers

The true statements are

(a) -one zero with multiplicity 3(d) -one zero with multiplicity 1 and one zero with multiplicity 2(l) -Three zeros with multiplicity 1

Missing information in the question

-one zero with multiplicity 3

-one zero with multiplicity 4

-one zero with multiplicity 5

-one zero with multiplicity 1 and one zero with multiplicity 2

-one zero with multiplicity 1 and one zero with multiplicity 3

-one zero with multiplicity 2 and two zeros with multiplicity 1

-one zero with multiplicity 2 and three zeros with multiplicity 1

-Two zeros with multiplicity 2

-Two zero with multiplicity 2 and two zeros with multiplicity 1

-Two zero with multiplicity 2 and three zeros with multiplicity 1

-Two zero with multiplicity 1

-Three zeros with multiplicity 1

-Four zeros with multiplicity 1

-Five zeros with multiplicity 1

How to determine the true statements?

The function is given as:

f(x)

And it has a degree of 3

This means that

The total multiplicity of the zeros of the function is 3 It cannot have more than three zeros i.e. it can have 1, 2 or 3 zeros

Using the above highlight as a guide, the true statements are (a), (d),and (l)

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simplify: (-291) × 134​

Answers

Answer:

-38,994

Step-by-step explanation:

-291*134

=-38,994

Answer:

-38,994

Step-by-step explanation:

(-291) × 134

Apply PEMDAS.

Remember,

- × - = +- × 1 = -

Solution:

Evaluating,we obtain

(-291) × 134-38,994


Find the reciprocal of 8 2/5

Answers

[tex]\huge\underline\red{Answer -}[/tex]

[tex]\bold{8 \frac{2}{5} }\: \\\\ \implies \: \frac{5 × 8 + 2}{5} \: \\ \\ \implies \: \frac{ 40 + 2}{5} \\\\ \implies \frac{42}{5} \\\\ \rightarrow \:\boxed {reciprocal \: = \frac{5}{42} } \\ \\[/tex]

hope helpful ~

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{8 \dfrac{2}{5}}\\\\\mathsf{= \dfrac{8\times5+2}{5}}\\\\\mathsf{= \dfrac{40 + 2}{5}}\\\\\mathsf{= \dfrac{42}{5}}\\\\\mathsf{=\dfrac{5}{42}}\\\\\huge\text{Therefore, the answer should be: \boxed{\mathsf{\dfrac{5}{42}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which measure of center is shown in a box plot?
mean
median
mode
range

Answers

3,0
5,1
3,1
4,1 is the correct answer

Answer:

  (b)  median

Step-by-step explanation:

A box-plot is a graphical representation of the 5-number summary of a data set. It includes the minimum, maximum, median, and 1st and 3rd quartiles.

__

The measure of center shown in a box plot is the median.

Fill in the blanks find P A And si

Answers

The answer will be Rs. 4330.

Step-by-step explanation:

Because if you subtract 340 from 4670, you will get the answer which is 4330.


Barbara buys a box of pens for $4. For every additional box she buys, she gets a $1 discount. Which expression represents the total cost of the -
pens, c, as a function of the number of boxes, b?

Answers

Answer:

Step-by-step explanation:

(-7x^2+3)-(-4x-3)
(−7x
2
+3)−(−4x−3)

Answers

Answer:

-28x^3-28x^2+16x+15

Step-by-step explanation:-28x^3-28x^2+16x+15

Given statements:
If a shape is a parallelogram, then opposite angles are congruent.
. A rhombus is a parallelogram.
Which is a logical conclusion from the given statements?
O A rhombus has opposite angles that are congruent.
O The opposite sides of a rhombus are congruent.
O The diagonals of a rhombus are congruent.
O A rhombus is a quadrilateral.

Answers

The logical conclusion from the statement is that

B. The opposite sides of a rhombus are congruent.

How to deduce the information?

From the information given, if shape is a parallelogram, then opposite angles are congruent.

In this case, since the rhombus is a parallelogram, then the opposite sides of a rhombus are congruent.

In conclusion, the correct option is B.

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Please help me find the area of this trapeziod.

Answers

Answer:

37.5 m

Step-by-step explanation:

Since the trapezoid area formula is ((base 1+base 2)/2)*height, we can plug in the values.

((8+7)/2)*5

(15/2)*5

7.5*5=37.5

Now we add the unit, "m" to get 37.5 m!

Over what interval is the function in this graph increasing? A. –5 ≤ x ≤ 5 B. –3 ≤ x ≤ 2 C. –4 ≤ x ≤ –2 D. –2 ≤ x ≤ 3

Answers

The function in this graph is increasing in the interval   –2 ≤ x ≤ 3 , Option D is the right answer.

What is a function ?

A function is a mathematical statement used to relate a dependent and an independent variable.

From the graph it can be seen that the graph is increasing in the interval

–2 ≤ x ≤ 3

The graph is said to be increasing when the value of y is getting more and more positive

As  –2 ≤ x ≤ 3 , y varies from -3 to +3

Therefore Option D is the right answer.

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Answer:

–2 ≤ x ≤ 3

Step-by-step explanation:

If f(x) = 3x + 2 what is f(5)?

Answers

Answer:

f(1)= 3×1 + 2 = 5

....

.....

....

f(5)= 3×5 + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Given: f(x) = 3x + 2

We are asked to find the value of the function when the value of x is 5

Substitute 5 as the value of x in the function:

⇒ f(x) = 3x + 2

⇒ f(5) = 3(5) + 2 [multiply]

⇒ f(5) = 15 + 2 [add]

f(5) = 17

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if the figure forms the base of a right solid 110 centimeters high, find the surphase area.​

Answers

the answer should be 5 inches I guess

Given the exponential growth function f ( x ) = 75 ( 1.02 ) x f ( x ) = 75 ( 1.02 ) x What is the initial value of the function? What is the growth factor, or growth rate of the function (as a percent)? %

Answers

Answer:

Step-by-step explanation:

The initial vale is when x = 0

-  That is 75,

The growth factor is 2%.

Dakota has four yardsticks and two 12-inch rulers.If she lays all four of the yardsticks and both rulers end-to-end,what is the maximum number of feet she can measure accurately at once? PLEASE EXPLAIN
E.12 ft
F.14ft
G.16 ft
H.!8ft

Answers

Answer:

[tex]\huge\boxed{\sf 14\ ft}[/tex]

Step-by-step explanation:

Yard sticks = 4

12-inch rulers = 2

All are placed end to end.

Converting yard and inch to feet:4 yardsticks into feets:

We know that,

1 yard = 3 feet

4 yards = 3 × 4 feet

4 yards = 12 feet

2 12-inch ruler into feet:

We know that:

1 inch = 0.083 feet

24 inch = 0.083 × 24 feet

24 inch = 2 feet

The maximum number of feet she can measure exactly:

= 4 yardsticks + 2 12-inch rules

= 12 ft + 2 ft

= 14 ft

[tex]\rule[225]{225}{2}[/tex]

A linear function contains the following points: 0,-3 and 6,15.
WHat is the slope and y-intercept

Answers

The slope of the linear function is 3 and the y-intercept is -3 if the linear function contains the following points: (0,-3) and (6,15)

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

A linear function contains the following points: (0,-3) and (6,15)

The slope:

[tex]\rm m =\dfrac{15-(-3)}{6-0}[/tex]

m = 18/6

m = 3

The equation of a line:

y = mx + c

Plug x = 0, y = -3

-3 = c

Thus, the slope of the linear function is 3 and the y-intercept is -3 if the linear function contains the following points: (0,-3) and (6,15)

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The image of a point K(1,2) after translation is K¹ (-1,2). what is the coordinate of the point R whose image is R¹ (-3,3) after undergoing the same translation. ​

Answers

Sorry big bro people do this a lot 24

Explain how to graph a scatterplot and its regression line using a regression calculator

Answers

Press the Linear Regression button to generate the regression line.

We have given that, regression line using a regression calculator

We have to determine how to graph a scatterplot and its regression line using a regression calculator.

Before entering data into the regression calculator, it is important to determine which variable should be associated with the x-axis and which with the y-axis.

What is the regression line?

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

Enter the data pairs.

Press the Linear Regression button to generate the regression line.

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4x^2 +16x -20 = 0
What is x

Answers

Answer:

x = 1, -5

Step-by-step explanation:

4(x^2 + 4x - 5) = 0

4(x - 1)(x + 5) = 0

x = 1, -5

Move the slider on the graph on the right to graph each function:

For the function: y = StartRoot x minus 7 EndRoot + 1

The domain is : x ≥

The range is: y ≥

Answers

Answer:

domain: x ≥ 7 . . . [7, ∞) in interval notationrange: y ≥ 1 . . . [1, ∞) in interval notation

Step-by-step explanation:

You want the domain and range of the function y = √(x -7) +1.

Domain

The domain is the horizontal extent of the graph. The graph of the given function extends to the right from x=7, which is included in the solution set.

The domain is x ≥ 7.

Range

The range is the vertical extent of the graph. The graph of the given function extends upward from y=1, which is included in the solution set.

The range is y ≥ 1.

Answer: domain: 7

range: 1

Step-by-step explanation:

2x-3<1 or 3x-1<17
Solve compound inequality

Answers

The union consists of all of the elements that are contained in each interval.

Inequality Form:

x<6

Interval Notation:

(−∞,6)

I need to use factorial the! When you use the binomial probability formula and I need to show step-by-step for for a through c


Given the number of trials and the probability of success, determine the probability indicated: (Hint use binomial distribution formula use factorials ! in showing your work)

n = 15, p = 0.4, find P(4 successes)
n = 12, p = 0.2, find P(2 success )
n = 20, p = 0.05, find P(at most 3 successes)

(hint for c.
P (at most 3 successes) = P(x ≤3)= P(x= 0) + P(x = 1)+ P(x = 2)+ P(x = 3)


Answers

Using the binomial distribution, it is found that the probabilities are:

P(X = 4) = 0.1268.P(X = 2) = 0.2835.[tex]P(X \leq 3) = 0.9841[/tex]

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

Exercise 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228[/tex]

Exercise 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835[/tex]

Exercise 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Using the binomial formula for each value and adding them:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841[/tex]

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James has available a 10% alcohol solution and a 60% alcohol solution find how many liters of each solution he shouldn’t mix to make 50 L of a 40% alcohol solution

Answers

He did take over 50l of alabocol and drank the rest so it got to 20

Answer:

20 L

Step-by-step explanation:

I am guessing that you meant should instead of shouldn't.

To solve this we can set the amount of 10% solution needed equal to x. This means that the 60% solution will be the remaining amount needed, so 50 L - x.

We can do 10%*x+60%*(50-x)=50*40%. Solving for x we get:

0.1*x+0.6*50-0.6*x=50*0.4

0.1*x+30-0.6*x=20

-0.5*x=-10

x=20

If a heart beats 36 times in 30 seconds, how many times will it beat in 60 seconds

Answers

72 reasoning is 60 is double 30 so 36 *2 is 72
Just like the first person said if it were to beat 36 times in 30 seconds then just multiply 36 by 2 and it will give you 72. So in conclusion the heart beats 72 times in 60 seconds.

As a summer job, Bart is picking strawberries at his uncle's farm. He can pick 6
gallons of strawberries in 9 minutes, and his uncles pays him $5 for 2 bushels. How
much does Bart make per hour picking strawberries?
Given: 8 gallons = 1 bushel & 60 minutes = 1 hour

Answers

Answer:

125

Step-by-step explanation:

All the work is in picture attat

An 8-pack of clay pots costs $15.76. What is the unit price?

Answers

Here
Clay pots =8
Price =$15.76
Then unit price =15.6/8
=$1.95

Given sin⁡θ=1/2 determine the value of sec θ. 0°<θ<90°
Given Choices

2/√3
√3/2
2
1

Answers

Answer:

[tex]sec(\theta)=\frac{2}{\sqrt3}[/tex]

Step-by-step explanation:

Given [tex]sin(\theta)=\frac{1}{2}[/tex] , to find [tex]sec(\theta)[/tex], it will be helpful to visualize a right triangle (triangle with a 90 degree angle) associated with that particular θ.  There are a few ways to go about this:

A general solution method

All of the basic trigonometric functions, applied to an angle) are a ratio of two specific sides of any right triangle that holds that angle.

Remember that the Sine of an angle is defined specifically, the ratio of the opposite side (the side across from the angle in the Sine function), and the hypotenuse (the side across from the right angle).  You might remember this through SohCahToa

[tex]sin(\theta)=\frac{opp}{hyp}[/tex]

In our case, since [tex]sin(\theta)=\frac{1}{2}[/tex] , so  [tex]\frac{opp}{hyp}=\frac{1}{2}[/tex] .  While there are an infinite number of triangles that have that ratio of those sides, they are all "similar" triangles (corresponding angles congruent, and corresponding sides are proportional, yielding common ratios of sides), and for ease, we can consider simply the triangle where the value of the numerator is the length of the opposite side, and the value of the denominator is equal to the hypotenuse.  So, [tex]opp=1[/tex], and [tex]hyp=2[/tex].

While we haven't actually talked about θ yet, we can still set up the triangle that has these sides so that we can visualize what the triangle looks like. (see image)

This triangle represents the triangle for the unknown θ in the original sine function.  We're tasked with finding the secant of that particular unknown θ.

Working toward Secant

Here, it will be helpful to remember either the reciprocal identities for[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex], or the definition of the secant function [tex]sec(\theta)=\frac{hyp}{adj}[/tex].

I find that most people remember the reciprocal identities more easily than keeping track of the definitions, so, since secant is related to cosine, it will be important to remember that [tex]cos(\theta)=\frac{adj}{hyp}[/tex].  From there, take the reciprocal of the cosine-value to get the secant-value (which matches the definition of the secant function).

Either way, it comes down to knowing the lengths of the side adjacent to theta, and the hypotenuse.  We already know the length of the hypotenuse, so we just need the length of the adjacent side.

Applying the Pythagorean Theorem

Fortunately, because it is a right triangle, the Pythagorean Theorem applies: [tex]a^{2} +b^{2} =c^{2}[/tex]  (where c is the length of the hypotenuse, and a & b are the lengths of the legs)

Substituting the known values for the sides we do know...[tex](adj)^{2} +(1)^{2} =(2)^{2}\\(adj)^{2} +1 =4[/tex]

...isolating "adj" by subtraction...

[tex](adj)^2=4-1\\(adj)^2=3[/tex]

...applying the square root property...

[tex]adj=\sqrt{3}[/tex]  or  [tex]adj=-\sqrt{3}[/tex]

Identifying which Quadrant the triangle is in

Since we were given that [tex]0^o < \theta < 90^o[/tex], our triangle is an acute triangle (as drawn in the diagram), and is in quadrant I (indicating that both legs will be measured with a positive value.

Thus, we discard the negative solution and conclude that [tex]adj=\sqrt{3}[/tex].

Finding the final solution

From there, [tex]cos(\theta)=\frac{adj}{hyp}[/tex] implies [tex]cos(\theta)=\frac{\sqrt3}{2}[/tex], and through the reciprocal relationship (or simply the definition of secant, whichever is easier for you to remember), [tex]sec(\theta)=\frac{2}{\sqrt3}[/tex]

Note:  This method did not require knowing what the angle θ was.

Alternative method using the Unit Circle

If you know well the values of special triangles in the unit circle, you may have identified that [tex]sin(\theta)=\frac{1}{2}[/tex]  is associated with [tex]\theta=30^o[/tex].  If so, if you also recall that the ordered pair associated with that point on the unit circle is [tex](\frac{\sqrt3}{2} ,\frac{1}{2} )[/tex], and that the [tex]cos(\theta)=x\text{-coordinate on the unit circle}[/tex], then you can quickly identify that  [tex]cos(\theta)=\frac{\sqrt3}{2}[/tex].

This method still ends the same: recalling the reciprocal relationship between cosine and secant, giving [tex]sec(\theta)=\frac{2}{\sqrt3}[/tex].

convert 0.390 as a fraction

Answers

Answer:

390/1000

This is the answer and hope it helps

39/100 hope it helps

A company has 200 machines. Each machine has 129 probability of not working. If you were to pick 40 machines randomly, the probability that 5 would not be working is and the probability that at least one machine would be working is the probability that all would be working is

Answers

The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.

Given a company has 200 machines. Each machine has a 12% probability of not working.

If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.

So

1) probability that 5 would not be working

C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵

                                ≈ 0.18665

2)  probability that at least one machine would be working

0.88⁴⁰ ≈ 0.00602

3) probability that all would be working

1 - 0.12⁴⁰ ≈ 1.0000

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find arc length
x=t^(3)-2t
y=t^(2)-3
-2>t<2

Answers

Answer:

72

Step-by-step explanation:

I got it right .......

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