Find the absolute maximum of f on [-10,7].
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum of f is f(_) = _.
(Type integers or fractions.)
B. There is no absolute maximum

Answers

Answer 1

A. The absolute maximum of the function f(x) is : f(-8) = 4.

We are given a graph of the function f(x).The domain of the function f(x) as seen from the graph is [-10, 7].The range of the function f(x) as seen from the graph is [-10, 4].We need to find the absolute maximum of the function f(x).From the graph, we can clearly figure out that the function has an absolute maximum value equal to 4.The function f(x) achieves a maximum y-value equal to 4 at an x-value of -8.Thus, the absolute maximum of the function f(x) is : f(-8) = 4.

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Related Questions

−5x≤−15 or 7x−17≥32 please help me!!! This is due tonight and I need to get my grade up because I have under 60% in math class!! :(

Answers

Answer:1. x≥3 2. x≥7

Step-by-step explanation:

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
F(x) = x2 + 2

F(x - h) =

Answers

Based on the domain, the equation of the function f(x) is F(x - h) = x^2 - 2xh + h^2 + 2

What is the domain of a function?

The domain of the function is the set of input values of the graph

How to determine the solution of the function f(x)?

The equation of the function is given as

F(x) = x^2 + 2

The required function is given as

F(x - h)

The above means that the value of x in the function F(x) = x^2 + 2 is x - h

i.e.

x = x - h

So, we substitute x - h for x in the equation F(x) = x^2 + 2

This gives

F(x - h) = (x - h)^2 + 2

Evaluate the exponent

So, we have

F(x - h) = x^2 - 2xh + h^2 + 2

The above equation cannot be further simplified

Hence, the solution of the function f(x) at the given domain is F(x - h) = x^2 - 2xh + h^2 + 2

Answers

Velocity differs from speed. Distance divided by time is the dimension of speed.

The speed of the vehicle while driving from home to the lake was 50 miles per hour.

What is Speed?The speed of an object, sometimes known as "v" in daily speech and kinematics, is a scalar quantity that measures how much its position changes over time or how much it changes per unit of time.

The distance traveled by an object during a time interval is equal to the duration of the interval divided by the object's speed, with the instantaneous speed being the upper limit of the average speed as the interval's duration becomes closer to zero.

Velocity differs from speed. Distance divided by time is the dimension of speed.

The meter per second (m/s) is the SI unit of speed, although the kilometer per hour (km/h) or, in the US and UK, miles per hour, is the most widely used measure in daily life (mph). The knot is a popular choice for air and sea travel.

From Home to Lake,

Let the speed of driving be 'x' miles per hour,

Time taken = 2 hours

Speed = Distance/Time

⇒ Distance = Speed x Time = 2x ..................(1)

From Lake to Home,

Distance will be the same (as the same route is taken),

Speed = (x-25) miles per hour

Time = 2 + 2 = 4 hours

So, Distance = Speed x Time = 4(x-25) ....................(2)

On equating (1) and (2),

2x = 4(x-25)

simplifying the above equation, we get

⇒ 2x = 4x - 100

⇒ 4x - 2x = 100

⇒ 2x = 100

⇒ x = 100/2

⇒ x = 50

Therefore, the speed of the vehicle while driving from home to the lake was 50 miles per hour.

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heyyyyyyyyyyyyyyyyyyy

Answers

The statement says that Kristen read a total of 18 books over 3 months.

And then ask us to calculate the numbers of books that he will read in a period of 5 months.

In order to calculate that, we must determine first how many books Kristen read in a month.

# of books that Kristen read in a month = 18 books / 3 months = 6 books / month

So, in order to calculate the number of books that Kristen read in 5 month, we just multiply:

5 months * 6 books/month = 30 books (answer)

Which expression represents the distance between 14.6 and −5.2 on the number line?

A. |-5.2 + 14.6|

B. |5.2 - 14.6|

C. |14.6 - {-5.2}

Answers

Answer:

The correct expression is

C. |14.6 - (-5.2)|

Question 1 (1 point)
write an equation (slope-intercept form) of the line
passing through the point (-20, 4)
that is perpendicular to the line
2x + 5y = 10.
y =
Blank 1:

Answers

The an equation (slope-intercept form) of the line is 2y = 5x + 108.

What is described as the slope-intercept form?A line's equation can be written in a variety of ways, each of which is valid. The slope-intercept form of such a line is a way of writing a line's equation so that the slope and y-intercept are easily recognizable. The slope of the line is its steepness, and the y-intercept is the point where line intersects the y-axis.

For the given question;

The equation of the perpendicular line is given as 2x + 5y = 10.

The passing points of the line (-20, 4)

(x₁, y₁) = (-20, 4)

The equation of line in slope-intercept form is given as; y = mx + c.

Where, c is the y intercept and m is the slope.

The relation of the slope of two perpendicular lines are-

m₁ x m₂ = -1

The equation of line is-

2x + 5y = 10; find m₁

5y = -2x + 10

y = (-2/5)x + 10

Comparing with standard form.

m₁ = (-2/5)

Then, m₁ x m₂ = -1

(-2/5) x m₂ = -1

m₂ = 5/2

Put in the equation of line;

y - y₁ = m(x - x₁)

Put the values;

y - 4 = (5/2) (x + 20)

Solving;

2y - 8 = 5x + 100

2y = 5x + 108

Thus, the an equation (slope-intercept form) of the line is 2y = 5x + 108.

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How do u determine the value of the ratio?

Answers

Answer:

Step-by-step explanation:

Divide data A by data B to find your ratio. In the example above, 5/10 = 0.5. Multiply by 100 if you want a percentage. If you want your ratio as a percentage, multiply the answer by 100.

I WILL GIVE YOU BRAINLIEST PLEASE HELPPPP

Answers

-50.415

Two negatives make a positive.

-63.7 + 13.285 = -50.415

The parent function f(x)=3√x is transformed to g(x)=f(x+2)-4 which is the graph of g

Answers

the answer for this is A

What is the reason for each step in the solution of the equation?
4x−1=−2(x+1)

Answers

It’s 59 and and I know I got the answer correctly

Find the LCD for:

2/x²-x-12, 1/x² - 16

Answers

The LCD for the expressions is (x + 3)(x² - 16)

How to calculate the LCD for the expressions?

The expressions are given as

2/x² - x - 12 and 1/x² - 16

Write out the denominator of the expressions

This is represented as

x² - x - 12 and x² - 16

Factorize the above denominators

This gives

x² - x - 12 = (x+3)(x-4)

x² - 16 = (x-4)(x+4)

Multiply the common factors without repetition

LCD = (x+3)(x-4)(x+4)

Evaluate the products

LCD = (x + 3)(x² - 16)

Hence, the LCD in this case is (x + 3)(x² - 16)

Answers

In the graph we can see that the person wrote 300 words after 4 minutes. so the rate is:

[tex]\frac{300}{4}=75[/tex]

75 words per minute

PLS HELP I NEED IT IM GOING TO GET AGRDE ON THIS PLE HELP

Answers

Answer: The answer is 6 presents

Step-by-step explanation: Here is the math: He used 25 cm of tape to wrap 5 presents, so that is 25/5= 5 cm of tape per present. Now you take 30 cm of tape and divide it by 5 = 6 presents wrapped with 30 cm of tape.

Which equation represents this graph?

Answers

In the picture there is a graph with one line. The equation of the line is x+2y=1.

Given that,

In the picture there is a graph with one line.

We have to find the equation of the line in the graph.

The points on line are (2,1) and (0,3).

The slope of the line formula is

m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m=(3-2)/(0-2)

m=1/(-2)

m=-1/2

The equation of the line formula is y=mx+b

Take point (2,1) as (x,y).

2=(-1/2)1+b

1=-1/2+b

b=1-1/2

b=2-1/2

b=1/2

The equation of the line is y=-1/2x+1/2

2y=-x+1

x+2y=1

Therefore, the equation of the line is x+2y=1.

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provide the correct reason for the statement in line 3. (please help)

Answers

The property that completes the proof is the segment addition postulate

How to determine the statement that represents the reason in the proof?

The given parameters in the question are:

The point C is the midpoint of AE

BC = CD

The above implies that

AC = CE

And it also means that:

The line segment BC and the line segment CD have equal lengths

Using the above as a guide, we have the following equations

AB + BC = AC

CD + DE = CE

The above equations are true because of the segment addition postulate

This postulate states that:

For any two points (A and C) located on a line segment and a third point (b) between the initial points. The lengths between the points can be represented as AB + BC = AC

Hence, the statement that represents the reason 3 in the proof is (b) segment addition postulate

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Answer the question.
A juice drink contains 24% real fruit juice. Find the amount of real fruit juice in 8 ounces of the drink. (Include units in your answer. More information.)

Answers

Answer:

i think it is 24.76% of real jucie

Step-by-step explanation:

because the rest is not real jucie

11 of 25 students in class own a dog.What is the ratio of students who own a dog to students in the class?What is the ratio of students who own a dog to students who DON'T own a dog?

Answers

Answer:

(a)11:25

(b)11:14

Explanation:

he total number of students in the class = 25

The number of students that own a dog = 11

do not 25-11=14

(a)The ratio of students who own a dog to students in the class will be:

[tex]=11\colon25[/tex]

(b)The ratio of students who own a dog to students who DON'T own a dog will be:

[tex]=11\colon14[/tex]

What is the area, in square inches, of a square whose perimeter is 44 inches?

Answers

Answer:

The area is 121 square inches

Explanation:

The perimeter of a square is given as:

P = 4l

where l is the length of its sides

Given that the perimeter is 44 inches, we have:

44 = 4l

l = 44/4 = 11

The length of it's sides is 11 inches.

The area is given as:

[tex]\begin{gathered} A=l^2 \\ \\ =11^2 \\ =121 \end{gathered}[/tex]

The area is 121 square inches.

Answer:121 square inches.

Step-by-step explanation:

If 2 tan x 1- tan2 x 1 V3 then x can equal: + MT B. X= A. x=112 x- 7 C. X = ST D. X=

Answers

Solve for x

[tex]\frac{2\tan (x)}{1-tan^2(x)}=\frac{1}{\sqrt[]{3}}[/tex]

Step 1: Let tan(x) represent y

[tex]\begin{gathered} \frac{2y}{1-y^2}=\frac{1}{\sqrt[]{3}} \\ \text{cross multiply} \\ 1-y^2=2\sqrt[]{3}y \\ y^2+2\sqrt[]{3}y-1=0 \end{gathered}[/tex]

Step 2: Using quadratic equation solve for y

[tex]\begin{gathered} y^2+2\sqrt[]{3}y-1=0 \\ y=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ a=1,b=2\sqrt[]{3},c=-1 \\ y=\frac{-2\sqrt[]{3}\pm\sqrt[]{(2\sqrt[]{3})^2-4(1)(-1)}}{2(1)} \\ y=\frac{-2\sqrt[]{3}\pm\sqrt[]{12+4}}{2} \\ y=\frac{-2\sqrt[]{3}\pm\sqrt[]{16}}{2} \\ y=\frac{2(-\sqrt[]{3}\pm2)}{2} \\ y=-\sqrt[]{3}\pm2 \end{gathered}[/tex]

Since the y represents tan x

[tex]\begin{gathered} \tan \mleft(x\mright)=-\sqrt{3}-2,\: \tan \mleft(x\mright)=2-\sqrt{3} \\ x=\arctan \mleft(-\sqrt{3}-2\mright)+\pi n,\: x=\arctan \mleft(2-\sqrt{3}\mright)+\pi n \\ x\text{ in degrees} \\ \: x=-75^{\circ\: }+180^{\circ\: }n,\: x=15^{\circ\: }+180^{\circ\: }n \\ \: x=15^{\circ\: }+180^{\circ\: }n \end{gathered}[/tex]

Therefore the correct answer is

[tex]x=\frac{\pi}{12}+n\pi[/tex]

Hence the correct answer is Option B

Help please!!!!!!!!!!!!!

Answers

19625/12 lb

Convert into improper fractions for easier calculation. Then convert the units from cubic feet to pounds using the given conversion factor.

See details:

What’s the correct answer answer now for brainlist

Answers

the answer to this would be D

(2-√3)²=7-4√3
How we solve this question ?
Hurry answer please

Answers

Please mark me as brainliest
Proved using the formulae
Refer to pic

Question
Two sides of a right triangle have lengths of 5 inches and 12 inches. Which of the following could be the
length, in inches, of the third side of the triangle?
A 3
B 8
C 13
D 17

Answers

Answer: C

a^2+b^2=c^2
5^2+12^2=c^2
25+144=c^2
169=c^2
Square root 169=c
13=c

13*13=169

12 eggs cost 3 dollers how much is one egg

Answers

Answer: 25 cents

Work Shown:

12 eggs = 3 dollars

12/12 eggs = 3/12 dollars

1 egg = 0.25 dollars

1 egg = 25 cents

Answer:

.25 cents

Step-by-step explanation:

3/12= .25

.25 x 12= 4.00

What is the rate of return when 10 shares of Stock
A, purchased for $30/share, are sold for $380? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth.

Answers

Answer:

24.7%

Step-by-step explanation:

You want to know the rate of return if 10 shares of stock purchased at $30 per share are sold for $380 with a commission on the sale of $6.

Return

The net proceeds from the sale will be ...

$380 -6 = $374

Rate of return

The percentage change in stock value is ...

% change = (proceeds/cost -1) × 100%

% change = (374/300 -1) × 100% ≈ 24.7%

The rate of return on the stock is about 24.7%.

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The owners of a house want to knock down the wall between the kitchen and the family room.
The area of the family room is x² + 10 + 24 and the area of the kitchen is x² + 7x + 12. Write an
expression that represents the area of the new combined space.

Answers

Answer:

[tex]2x^2+7x+46[/tex]

Step-by-step explanation:

[tex](x^2+10+24)+(x^2+7x+12) \\ \\ =x^2+34+x^2+7x+12 \\ \\ =2x^2+7x+46[/tex]

the waiters at a restaurant have agreed to give one third of their tips to the kitchen staff if a waiter collects 72$ how much does he end up keeping

Answers

Answer:

Since they are giving one third of it to the staff, they are keeping 2 thirds of it for themselves. Two thirds of 72 is 48.

Answer:

He keeps $48.

Step-by-step explanation:

If he gives away 1/3, he keeps 2/3 so that's what we need to calculate.

First find 1/3 of 72 by dividing by 3: 72/3=24

Now to find 2/3, multiply by 2: 24*2=48

(72/3)*2= $48

If 37% of high school students said that they exercise regularly, find the probability that 5 randomly selected high school students will say that they exercise regularly. Would you consider this event likely or unlikely to occur?

Answers

Very unlikely to occur

1) In this problem, let's find the binomial probability of that event to take place.

[tex]\begin{gathered} P(X=5)=\binom{5}{5}(0.37)^5(1-0.37)^{5-5}= \\ P(X=5)=1\cdot(0.37)^5(1-0.37)^{5-5}= \\ P(X=5)=0.37^5\mleft(0.63\mright)^{5-5} \\ P(X=5)=0.0069343957 \end{gathered}[/tex]

2) Note the binomial probability of that event happening is very very low.

3) So we can state that this event is very unlikely to occur

Lin drew the following dilation of triangle AED and she made triangle ABC

What is The center of dilation is ?

The Scale factor for triangle AED to triangle ABC is?

Answers

1. A, as A is the shared vertex of both triangles. and 2. The original is ABC, and the dilated version is AED. as triangle ABC's half is represented by triangle AED.

How do you calculate a triangle's dilation?

The following is a basic formula to determine a dilated figure's scale factor: Scale factor is equal to the difference between the dimensions of the old and new shapes.

What is the triangle's center of dilation?

A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.

The center, which may be found within, outside, or on a figure, is the only invariant (constant) point under a dilation (k 1).

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in
ABC, ABC is a right angle AB=3 units, and BC=2 units &ABC is dilated by a scale factor of 0.5 with point 8 as the center of dilation, resulting
in the image AABC. Which statement about AB is true?
OA AB is 15 units long but lies on a different line than AB
OB AB is 3 units long but lies on a different line than AB
OC AB is 3 units long and lies on the same line as AB
OD. AB is 1.5 units long and lies on the same line as AB?

Answers

Answer:

A'B' is 1.5 units long and lies on the same line as AB.

Step-by-step explanation:

If AB = 3 units, BC = 2 units and a scale factor of 0.5 is applied, then A'B = 3*0.5 = 1.5 and B'C = 2* 0.5 = 1. Given that the point B is taken as the center of dilation then, segments A'B lies on the same line as AB and B'C lies on the same line as BC.

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Find the absolute maximum of f on [-10,7]. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of f is f(___) = ___. (Type integers or fractions.) B. There is no absolute maximum

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Find the absolute maximum of f on [-10,7].
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum of f is f(_) = _.
(Type integers or fractions.)
B. There is no absolute maximum