Given f(x) = -x^2 - 2x + 4, find each of the following,

Symmetric point:
Minimum of f:
Maximum of f:
Is f a one-to-one
Does f have an inverse?
Increasing on
Decreasing on

Answers

Answer 1

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

Answer 2

Answer:

Given f(x) = -x^2 - 2x + 4, find each of the following,

Step-by-step explanation:

f(x) = -x²-2x+4

f(2) = (-2)²-2×2+4

f(2) = 4-4+4

f(2) = 4


Related Questions

which equation has the solutions x equals 1 plus or minus the square root of 5​

Answers

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

I need help with this question please

Answers

9514 1404 393

Answer:

  y = -x -2

Step-by-step explanation:

The line crosses the y-axis at y = -2, so that is the y-intercept.

The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.

  m = rise/run = -3/3 = -1

Then the slope-intercept equation is ...

  y = mx +b . . . . . slope m, y-intercept b

  y = -x -2 . . . . . . . using m=-1, b=-2

giving brainliest !!!!!!!

Answers

Answer:

6 square inches

Step-by-step explanation:

6(1*1) = 6 in^2

Answer:

hi

Step-by-step explanation:

i think 6×1in²=6

i hope it is true

hope it helps

have a nice day

Mr. Brady is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. Clue 2 says that Clue 3 is located 5 units south of the flagpole. N -4 -2 o N 4 6 X -2 -4 Plot the locations of the flagpole and the 3 clues on the coordinate grid and show the path students will follow with straight lines. Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 to Clue 3? Round to the nearest foot if necessary. ​

Answers

Answer:

The figure is attached and the total distance is 1031 feet.

Step-by-step explanation:

The graph is indicated in the attached figure.

For calculation of distance consider following

Point Flagpole is (0,0)

Point Clue1 is (0,5)

Point Clue2 is (6,0)

Point Clue3 is (0,-5)

So the distance is calculated as follows

[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values

[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]

So the total distance travelled is 1031 feet.

I need Help please in this problem

Answers

Answer:

Answer the question yourself and stop being lazy!

Step-by-step explanation:

Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the tem is
positive, find
1) the value of b. (8)
ii) the first term and common ratio. (18,2/3)
(2009)​

Answers

Answer:

1. b = 8

2. First term (T₁) = 18

Common ratio (r) = 2/3

Step-by-step explanation:

1. Determination of the value of b.

2b+2, b+4, b

First term (T₁) = 2b + 2

2nd term (T₂) = b + 4

3rd term (T₃) = b

The value of b can be obtained as follow:

Common ratio = T₂/T₁ = T₃/T₂

T₂/T₁ = T₃/T₂

(b + 4)/(2b + 2) = b/(b + 4)

Cross multiply

(b + 4)(b + 4) = b(2b + 2)

Expand

b(b + 4) + 4(b + 4) = b(2b + 2)

b² + 4b + 4b + 16 = 2b² + 2b

b² + 8b + 16 = 2b² + 2b

Rearrange

2b² – b² + 2b – 8b – 16 = 0

b² – 6b – 16 = 0

Solving by factorisation

b² – 8b + 2b – 16 = 0

b(b – 8) + 2(b – 8) = 0

(b – 8)(b + 2) = 0

b – 8 = 0 or b + 2 = 0

b = 8 or b = –2

Since each of the terms are positive, therefore, b is 8.

2. Determination of the first term and common ratio.

2b+2, b+4, b

First term (T₁) = 2b + 2

b = 8

First term (T₁) = 2(8) + 2

First term (T₁) = 16 + 2

First term (T₁) = 18

2nd term (T₂) = b + 4

b = 8

2nd term (T₂) = 8 + 4

2nd term (T₂) = 12

Common ratio (r) = T₂/T₁

First term (T₁) = 18

2nd term (T₂) = 12

Common ratio (r) = 12/18

Common ratio (r) = 2/3

Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.

Answers

Answer:

a. Peaches cost more by pound because the line it forms is steeper

b. draw a line that is less steep than the plums and under the plums line

5th grade math. correct answer will be marked brainliest

Answers

9 is what you put in the first box and 1 in the other

easton is paid $418.96 weekly. what is his average monthly net, or take-home pay?

Answers

Answer:

293.27

Step-by-step explanation:

418.96 x  .7 = 293.27

If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.

Answers

20% of $250 is $50
So $300

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

39 is what percent of 52?​

Answers

Answer:

1.3 percent

Step-by-step explanation:

What is the quotient of m and 11

Answers

m/11 is the answer due to the fact that their is not a value for m

If 20% of a number is 12, then what is 30% of the same number

Answers

Answer:

18

Step-by-step explanation:

0.2x = 12

Same as: 1/5x = 12

Multiply both sides by 5

x = 60

0.3 * 60 = 18

John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?

Answers

Answer:

0.75 .................

hi, I need to send you a screenshot​

Answers

Whyyy notttt I guessss

what is the poem Caged Bird about?​

Answers

the poem theoretically about a bird who wanted to live freely. he had a family; a mom, a dad, a brother, a sister. they just wanted to fly around and have fun and explore. but then all of a sudden the brother got eating buy mr. purple man. they all had to run. but then the sister got raped by mr. brown.

2x + 8
2 + 3
7x + 21
.
x +4

Answers

Answer:

[tex]60x + 86[/tex]

Step-by-step explanation:

The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?

Answers

Answer: the length is 8

Step-by-step explanation: Because 11 minus 8 is 3

What is the area of this shape?

Answers

Answer:

720

Step-by-step explanation:

square root 3 minus X Minus x squared is equals to x - 2​

Answers

Step-by-step explanation:

I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.

PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW IS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

After how many days will the tank need to be refilled?

Step-by-step explanation:

To answer our question, we first need to figure out what d represents. d is multiplied by 0.035, which is how much the water level decreases daily. Since it decreases daily, the overall amount it decreases depends on how many days have passed. It is logical then to deduce that d represents days (also days starts with d, so we know we're on the right track haha).

The equation equals to 4, the water level at which the tank must be refilled, so we know we are looking for d when the tank must be refilled.

pls help i dont have much time whoever answers correctly ill mark brainliest

What is the area of the trapezoid shown below?

Answers

Answer:

114 it think but maybe not

Step-by-step explanation:

a

Answer : 78

Explanation: Bottom of triangle is 9. Use area of triangle formula to find area of triangle (54). Find area of rectangle (24). Add.

Please I need help. The Median of a data set is 100. Which statement about the data set must be true?

A. The data set has an average of 100

B. Half the data values are greater than 100.

C. The minimum value is 80 and the maximum value is 120

D. Only one of the data points in the data set has a value of 100

Answers

Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.

Step-by-step explanation:

Answer:

B. Half the data values are greater than 100.

Step-by-step explanation:

The median is just another way to say the number in the middle.  So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.

In a walking competition, Marlinda was 15m ahead of Sandra Evliani. Marlinda steps 1m each time Sandra Elviani’s foot steps 0.8m. How many steps does Sandra Elviani have to make to match Marlinda?​

Answers

Answer:

Given that in a walking competition, Marlinda was 15m ahead of Sandra Evliani, and Marlinda steps 1m each time Sandra Elviani's foot steps 0.8m, to determine how many steps does Sandra Elviani have to make to match Marlinda, the following calculation must be performed:

Since Sandra Elviani walks 0.8 meters for every 1 meter that Marlinda walks, and that she has an advantage of 15 meters in the competition, it is impossible that at that rate Sandra can reach her. This is so because for each step of Marlinda, Sandra will be 0.2 meters behind her, increasing the distance (1-0.8).

Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown in the box. Which student(s) offered answer(s) equivalent to the original expression? A. only Danny B. only Irene C. both Carlos and Danny D. both Carlos and Irene​

Answers

Answer:

Step-by-step explanation:

I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.

However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.

28x - 8

This equation can be factorised when divided by 2, into

2(14x - 4)

At the same time, it can be factorised when divided by 4, into

4(7x - 2)

Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.

The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket

Answers

Answer:

$105.13

Step-by-step explanation:

[540.50 - (4 x 30)]/4 = $105.125

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

9, 14, 12,17,15, 20,18
what is the rule for the following pattern?

Answers

Add 5 then subtract 2 on the next number

Can someone please help me!!!

Answers

D
hope this helps :)
it would be D because it’s vertical to the given value

What is the sum of one sixth and thrice of n​

Answers

Answer:

9

Step-by-step explanation:

6+3 is 9

Answer:

what do you mean by thrice of n?

Step-by-step explanation:

Wouldn't we need to know what n equals?

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