For each real number x, f(x) is defined to be the smallest of the values of 2x + 3, 3x - 2 and 25 - x. What is the maximum value of f(x)?

Answers

Answer 1

9514 1404 393

Answer:

  17 2/3

Step-by-step explanation:

A calculator or spreadsheet can figure this. The maximum of f(x) is found where 3x-2 intersects 25-x.

  2x +3 = 25 -x

  3x = 22

  x = 22/3 = 7 1/3

  25 -7 1/3 = 17 2/3 . . . . maximum value of f(x)

_____

Note in the graph that the slope of f(x) decreases at about x=5. The expression with the lower positive slope is 2x+3. So, it is that expression that must equal the expression with the negative slope.

For Each Real Number X, F(x) Is Defined To Be The Smallest Of The Values Of 2x + 3, 3x - 2 And 25 - X.

Related Questions

a swimming pool is 8 m long 8 m wide 8 m deep the water resistant paint needed for the pool cost $6 per meter what is the surface area of the pool that needs to be painted​

Answers

Answer:

Two walls are 6*2

Multiply, add the products, round UP and multiply times 6.

NOTE: Why round up? because if you need, for example, 1.22 gallons, you have to get 2 gallons. If you buy just 1 you'll be short, and you can't buy 0.22 of a gallon.

John has 8 different flags that he wants to hang on the wall. How many different ways can the flags be arranged in a row?

Answers

Answer:

40,320 different ways

Step-by-step explanation:

Here, we want to arrange 8 flags in a row

In the row, there will be 8 places

The first place has 8 flags to be chosen from

The second place has 7 and like that

So mathematically, the number of ways that we can arrange the flags is 8 factorial ways

We have this as:

8! = 40,320 different ways

Select all valued equal to -4/5
A -4/ -5
B- -4/ -5
C -4/5
D - -4/5
E 4/-5​

Answers

Answer:

i think c and e since it will end with a negative value

pleasssseee helpppppp ill give brainly (if you send a link ill report you)

Answers

Answer:

sorry i am trying but i don't know what to do

Step-by-step explanation:

Answer:

The answer is 10.4 :)

Step-by-step explanation:

125 + 5 x 10.4 will give you your 180 degree angle, therefore 10.4 should be the correct answer! Hope I could help <3

Help please, I’ll give you brainliest

Answers

Answer:

12

Step-by-step explanation:

Find the slope of the line that passes through the following points: `\left(\frac{2}{5},\frac{2}{3}\right)\ \ \left(-\frac{4}{9},\frac{3}{5}\right)` Show the work/explain!

Answers

Answer:

3/50

Step-by-step explanation:

Slope m = y2-y1/x2-x1

From the coordinate

x1 = 2/5, y1 = 2/3, x2 = -4/9 and y2 = 3/5

Substitute;

m = (3/5 - 2/3)/-4/9-2/3

m = (9-10/15)/(-4-6/9)

m = -1/15/-10/9

m = -1/15 * -9/10

m = 9/150

m = 3/50

Hence the slope of the line passing through the points is 3/50


Part A: How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer.
(5 points

Answers

It has one solution since they cross at one point
The solution is (3,5) because that is where the lines meet meaning they both have the same solution at that point.

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue

It's Homework #1: Odds

Answers

6 ) White
5 ) Not sure but my guess would be “B” don’t take my word on this one tho

Answer:

1/5 ; 7/10

Step-by-step explanation:

1) We have 10 letters, G and B are two letters, so the answer is 2/10, that can be simplify in 1/5

2) we have 7 parts black or white. The total parts are 10, so the answer is 7/10

In 83.41, which digit is in the tens place?

Answers

Answer: 8

Step-by-step explanation:

80 is in the tens place. second digit left of decimal

Answer:

8

Step-by-step explanation:

80 is in the tens place. second digit left of decimal

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

it’s B. 7th degree monomial

Finish solving the equation -13y + 33 = 7.

Answers

Answer:

y = 2

Step-by-step explanation:

-13y + 33 = 7

add -13y to each side of the equation:

33 = 13y + 7

subtract 7 from each side:

13y = 26

divide both sides by 13:

y = 2

-13y + 33 = 7
-13y = 40
y = -3.0769

3. A paint store sells 4 pt of paint for $19. Use a model to write a rate for this situation.
What does this rate mean? Show your work.

Answers

Answer:

4p = 19

p = 4.75

Step-by-step explanation:

p = cost for one pint of paint

What is not a true statement about the transformation shown below

Answers

Answer:

which transformation. ??

i think you didnt put a screenshot or sum

Step-by-step explanation:

I'M GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE QUESTIONS CORRECTLY! PLEASE HELP ME :D

Answers

Answer:

1. 68

2. 22

3. 9

4. 7

Step-by-step explanation:

hahsidijdkejeje

Daniella earns a 7.5% commission on everything she sells at the electronics store where she works. How much did she earn last week if she sold $3,500 in electronics merchandise

Answers

Answer:$262.50

Step-by-step explanation:3500x.075=262.5

PLSSS HELP (What are the square roots of 25?)

Answers

Answer:

5

Step-by-step explanation:

5*5=25

Answer:

The square root of 25 is 5, -5

Step-by-step explanation:

Amelie's dog weighs 47.17 pounds. Amelie's dog weighs 5.3 times as much as Evan's dog.

How much does Evan's dog weigh?

Answers

Answer:

8.9 lb

Step-by-step explanation:

I divided 47.17 by 5.3

47.17÷5.3= 8.9

then to check my answer I multiplied 8.9 by 5.3 and got 47.17

hope this helps <3

Answer:

8.9 lb

Step-by-step explanation:

took test

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

A) 18°

Step-by-step explanation:

To find the measure of the indicated angle, we can use trigonometric ratios.

Looking at the triangle, we can see that we are given the lengths of the two legs of the triangle, but not the hypotenuse. Since we are not given the hypotenuse, the sine and cosine ratios would not work since both of them require the length of the hypotenuse. We can use the tangent ratio, since it only requires the lengths of the two legs. Remember:

[tex]tan(?)=\frac{opposite}{adjacent}[/tex]

From looking at the image, we can see that the length of the side opposite to the angle is 3, and the length of the side adjacent to the angle is 9. Thus, we can use 3 as out opposite and 9 as out adjacent:

[tex]tan(?)=\frac{3}{9}[/tex]

Now we solve for ?. Lets take the inverse tan of both sides to get rid of the tan on the left side:

[tex]?=tan^{-1}(\frac{3}{9})[/tex]

And we get:

? ≈ 18.4349488° ≈ 18°

So the answer would be 18°, or A.

I hope you find my answer to be helpful. Happy studying.

which expression are equivalent to

A) 1/(-13)^0
B) (-1)^4
C) (-1)^7
D) 1^13
E) 1/13^-1

Answers

Answer:

A.. ....... . . ..........

What is the solution to the proportion?
3/7 = w/42

Answers

6 x 7 = 42
3 x 6 = 18
so w = 18

Answer:

                 

Step-by-step explanation:

Find the surface area of the rectangular prism.
9 cm
15 cm
13 cm

Answers

Answer:

SA = 894 cm²

Step-by-step explanation:

SA = (2 x 15 x 9) + (2 x 13 x 9) + (2 x 15 x 13) = 270 + 234 + 390 = 894 cm²

Answer:

894 cm²

Step-by-step explanation:

[tex]A=2(wl+hl+hw)\\=2(13*15+9*15+9*13)\\=894[/tex]

Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?

A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²

I know that the area is 8π² I just don't know which answer choice it is.

Answers

Answer:

C.

Step-by-step explanation:

Radius = 16 ÷ 2 = 8

[tex]\frac{45}{360} *8^2*\pi =25.1[/tex] (3sf)

You can first find the total area of the circle which is [tex]64\pi[/tex].

Then, you can find the area of the slice of the pizza, if you take the ratio of the angle it creates with the total angle of a circle (360.)

For example, a semicircle's are would be  [tex]\frac{180}{360} *8*\pi[/tex].

Answer:

C. 25.1 in²

Step-by-step explanation:

Hope this helps

How would you find: the number, 3/7 of which is equal to t ?

Answers

Answer:

n = (7/3)t

Step-by-step explanation:

Represente the unknown number by n.  Then write the statement symbolically, as:

(3/7)n = t

and then solve the above equation for n by multiplying both sides by (7/3):

n = (7/3)t

You are working on a banner for Friday's pep rally. The length of the banner is 3 times the width. The length is 15 feet. What is the width?​

Answers

Answer:

5 feet

Step-by-step explanation:

15/3 = 5

Your answer is going to be 5ft

10.What kind of circle would you need and which direction would the arrow go if you graph x < 1.5 on a number line?

closed circle, arrow goes right

open circle, arrow goes right

closed circle, arrow goes left

open circle, arrow goes left

Answers

open circle, arrow goes left

24. A total of 540 beads are shared in the ratio 4:5. The LARGER share of beads is
(A)60
(B) 240
(C) 300
D)432​

Answers

Answer:

C

Step-by-step explanation:

Point F is located at (3, 4) on a coordinate plane. If Point F is reflected across
the x-axis to create Point F', what will the coordinates of F be?

Answers

(-3,4)
Is
The
Correct answer

NEED HELP ASAP
Camille runs every morning before school. On Monday, she ran 2.36 miles. On Tuesday, she ran 4.88 miles. On Wednesday, she ran 3.19 miles. After she ran on Thursday, her total mileage for the week was 12.81 miles. How many miles did she run on Thursday?

Answers

Answer: 2.38

Step-by-step explanation:

Okay so first you add up all the mileage from Monday-Wednesday. After you do that, subtract that number from 12.81 which will give you your answer

Hope this helps :)

please help me and i need the solving to
thank you

Answers

Answer:

<2 would also be 55°

Step-by-step explanation:

this is because the angles are congruent. but im not 100% sure

Mr. Mastrogiacomo is testing the hypothesis that the proportion of households in a large town that have high-speed internet service is equal to 0.7 against the alternative that the proportion is different from 0.7. What is the chief advantage of using a confidence interval to test this hypothesis rather than a significance test

Answers

Step-by-step explanation:

You can use a confidence interval (CI) for hypothesis testing. In the typical case, if the CI for an effect does not span 0 then you can reject the null hypothesis. But a CI can be used for more, whereas reporting whether it has been passed is the limit of the usefulness of a test.

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