Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.

Answers

Answer 1

Answer:

D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.

Step-by-step explanation:

Find the complete diagram attached

First we need to get the derivative of the functions

For the function f(x) = 5x - 6

Using the formula

If f(x) = axⁿ

f'(x) = naxⁿ⁻¹

For the function f(x) = 5x - 6

f'(x) = 1(5)x¹⁻¹

f'(x) = 5x⁰

f'(x) = 5

For the function f(x) =x²-2

f'(x) = 2x²⁻¹

f'(x) = 2x

For the function f(x) = 4x+10

f'(x) = 1(4)x¹⁻¹

f'(x) = 4x⁰

f'(x) = 4

Get the domain

The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.

Hence Option D is correct

Given F Of X Equals 5 Times X Minus 6 For X Less Than 3, Equals X Squared For X Between 3 And 5 Inclusive,
Answer 2

Answer:

Was the answer above correct????

Step-by-step explanation:


Related Questions

5 of the 25 players on the soccer team are 7th graders. Find the Percent of 7th graders

Answers

Answer:
20%

Step-by-step explanation:
5 divided by 25 multiplied by 100 will give you 20%.

Help finding angle 1,2,3

Answers

1=52
2= 52
3=65
I think but idrk

What is the solution and graph for the following inequality?
5x + 2 > -48

Answers

Answer:

x > -10

Step-by-step explanation:

First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.

what is the solution to the equation below?

Answers

The answer is B. x=-7

Explanation:

I just substituted x for all of the answer choices until I found the right one.

Please mark Brainliest!

so first you have to subtract 12 from both sides
this will give you
:square root(1-5x)=6
then we must square both sides to get
: 1-5x=36
we then subtract 1
:-5x=35
and divide by -5 to get a final answer of

:x=-7

Here is a picture of a circle. Each square represents 1 square unit.
Explain why the area of the circle is less than 4 square units.

Answers

Answer:

No picture?

Step-by-step explanation:

i need a picture to anwser

In football A field goal counts three points and extra point after touchdowns Count as one point a kicker score 30 points on 16 kicks how many of the Kicks are field goals

Answers

Answer:

2

Step-by-step explanation:

3x30=90

15x3=45

90/45=2

Answer:

He makes 14 field goals and 7 extra point kicks

Step-by-step explanation:

f=#of field goals

e=extra kick points

f+e=21

3f+1e=49

subtract top from bottom

2f=28

f=14

Good luck!

2x+5+3x+6= combine like terms to simplify each expression

Answers

Answer:

5x +11

Step-by-step explanation:

Answer:

5x+11

Step-by-step explanation:

Please give brainliest

1/6x + 3/2 slope of line

Answers

Answer: m=1/6

Step-by-step explanation:

Which property of equality would you use -to solve the equation math8n=16

Answers

Answer:

im not sure but i do know that the letter n would be 2

Step-by-step explanation:

PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111

Answers

expand the brackets
5t+15=-3.5
move values to the other side
5t=11.5
t=2.3

Answer:

2.3

Step-by-step explanation:

Your beginning equation is 5 (t + 3) = -3.5. You start by dividing by 5. This leaves you with t + 3 = 0.7. If you add 3 you get 2.3

Find the value of x.
3x-10
25
X+15

Answers

Value of x is 3x-10 25 x * 15
The answer should be 25

This is under the Category Exponent Rules (Variable and Coefficients)

Help Simplify (−10x^2)(-2x^4)

Answers

Answer:

20x^6

Step-by-step explanation:

multiply bases and add exponents

this months rainfall is 30% less than last months total of 3.5 inches.

PLZZZZ ANSWWERRR ASAPPP MARKING BRAINLIEST

Answers

Answer:

1.05

Step-by-step explanation:

3.5x.30=1.05

Answer:

1.05

Step-by-step explanation:

You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.

Matsuki is very very bored...

34 + 35 x (60/2) - (40/2) = ?

Answers

I believe the answer is 1064.

P.s. your cute matsuki <3

combine like terms to simplify each expression. 1: 3/4z(3)+4-1/4z(3). 2: 3.4m+2.4m. 3: 4.2n+5-3.2n. 4: q(5)+q(5)+q(5). 5: 3x+1/4+2y+1/4+7x-y. 6: 1.5z(2)+4.5+6z-0.3-3z+z(2)

Answers

Explanation and steps to the expressions are marked in order in the images below.

1. Answer is 3z/2 + 4

2. Answer is 5.8m

3. Answer is n + 5

4. Answer is 15q

5. Answer is 10x + 1/2 + y

6. Answer is 8z + 4.2

The maximum is five images, so I cannot add the last explanation and steps for the last expression.

I have no clue what to put in all of these boxes help me

Answers

Put 100. In the first box

i dont think it right i only could do the first one i dint know the last one cuz ...

A line with a slope of 5 passes through the point (2, 5). What is its equation in
slope-intercept form?

Answers

Answer:

        y = 5x - 5

Step-by-step explanation:

slope-intercept form of equation:  y = mx + b

where m is slope and b is y-intercept

If line y=ax+b passes through point (x₀,y₀) that means

that the equation y₀=ax₀+b is true

(2, 5)    ⇒   x=2,   y=5

m = 5

So:

              5 = 5×2 + b

               5 = 10 + b

               b = -5

Therefore equation in  slope-intercept form:

                                                                      y = 5x + (-5)

                                                                      y = 5x - 5                          

The equation of the line in slope-intercept form is y = 5x - 5.

Given that the slope of the line is 5 and it passes through the point (2, 5), we can use the point-slope form of a linear equation to find the equation of the line.

The point-slope form is given by:

y - y1 = m(x - x1),

where (x1, y1) is the given point and m is the slope.

Substituting the values, we have:

y - 5 = 5(x - 2).

Now, let's simplify this equation:

y - 5 = 5x - 10.

Next, let's isolate y:

y = 5x - 10 + 5.

Simplifying further:

y = 5x - 5.

So, the equation of the line in slope-intercept form is y = 5x - 5.

Learn more about slope-intercept form here:

https://brainly.com/question/29146348

#SPJ2

Enter the sum in simplest form. pls answer I give brainliest

Answers

11/12 -5/12 would equal 7/12. 7/12 can not be simplified, because seven and twelve can not be divided by the same number to get smaller numbers. 7/12 is the simpliest form

Answer:

1/2

the 1 goes on top and the 2 goes at the bottom

What are the vertices of triangle A'B'C' produced by (x, y) -> (x+5, y-2)?

Answers

Answer:

The vertices of triangle A'B'C' produced by (x, y)  →  (x+5, y-2)  will be:

A'(8, -2) B'(8, 0) C'(5, -5)

Step-by-step explanation:

Given the vertices of an original triangle ΔABC such that

A = (3, 0)B = (3, 2)C = (0, -3)

As the rule of translation is given by

Translation: (x, y)  →  (x+5, y-2)

So, after the translation the vertices of the original triangle ΔABC will be translated as:

A = (3, 0)  → (x+5, y-2)  ⇒ (3+5, 0-2) = A'(8, -2)

B = (3, 2)  →  (x+5, y-2)  ⇒ (3+5, 2-2) = B'(8, 0)

C = (0, -3) → (x+5, y-2)  ⇒ (0+5, -3-2) = C'(5, -5)

Therefore, the vertices of triangle A'B'C' produced by (x, y)  →  (x+5, y-2)  will be:

A'(8, -2) B'(8, 0) C'(5, -5)

plzzzzzzzzzzzzzzzzzzzzzzz

Answers

Option C. Please mark me as brainliest.


Esther deposited $5,000 into an account that grows at a rate of 8% per year. To the nearest cent, how much will be in the
account after 5 years?

Answers

Answer:

The total amount after five years =  $7,000

Step-by-step explanation:

Step(i):-

Given Esther deposited $5,000 into an account

Principal amount 'P' = 5000

Given rate of interest (R) = 8%

r = R / 100 = 0.08 per year

Step(ii):-

The total amount after 5 years

            [tex]A = P( 1 + r t )[/tex]

          [tex]A = 5000(1+ (0.08 X 5) = 7000[/tex]

Final answer:-

The total amount after five years =  $7,000

What is the solution of....

Answers

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

[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]

[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]

[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]

[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]

[tex] \bf \implies \: 7x = 21 \times 4[/tex]

[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]

[tex] \bf \implies \: x = 3 \times 4[/tex]

[tex] \bf \implies \: x = 12[/tex]

ᴏᴘᴛɪᴏɴ () x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ

[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]

Match each expression to the description shown. Answers may be used more than once.

Answers

Ok so 2(x+1) would be two times the sum of a number and one. “Sum of a number and one” is just “x+1” and then it’s two times that because the two is outside of the parentheses.

And then 2x+1 would be the product of two and a number increased by 1. The product is two and a number is 2x and then increased by 1 is the +1

5. Choose the best answer.
Find the slope and y-intercept of the equation; then choose the equation in slope-Intercept form.
3.3x– 3y = 2.4
slope
y -intercept
slope-intercept form

Answers

The slope-intercept form: y = mx + b

So we need to "solve" given equation for y

3.3x - 3y = 2.4           {subtracting 3.3x from both sides}

- 3y = 2.4 - 3.3x        {dividing both sides by (-3)}

  y = -0.8 + 1.1x

Therefore:

Slope:                         m = 1.1y -intercept :               b = - 0.8slope-intercept form:   y = 1.1x - 0.8

combine these radicals
[tex] - 12 \sqrt{12} - 2 \sqrt{3} [/tex]

Answers

242 x4635 where you can get the red yellow
20.43466 I hope this helps

in an 7th grade class with 80 people, seven tenths of the students wore shorts, how many students wore shorts

Answers

Answer:

56

Step-by-step explanation:

80 x (7 / 10) = 56

80 times 7=560

560/10=56

Answer: 56

Solve for W: P=2L + 2W

A. W=P-L
B. W= 1/2P - L
C. W= 1/2 P + L
D. W= 2P - L​

Answers

Answer:

B

Step-by-step explanation:

[tex]P=2L+2W[/tex]

[tex]P-2L=2W[/tex] (Subtract 2L from both sides of the equation)

[tex]2W=P-2L[/tex] (Symmetric Property of Equality)

[tex]W=\frac{P-2L}{2}[/tex] (Divide both sides of the equation by 2)

[tex]W=\frac{P}{2} -\frac{2L}{2}[/tex] ("Split" the fractions)

[tex]W=\frac{1}{2}P-L[/tex] (Simplify)

Hope this helps!

Which of the following best shows the commutative property of addition?

4 + 5 = 5 + 4

4 + 5 = 9

4 + 5 = 4 - (-5)

4 + 5 = 4 + (2 + 3)

Answers

Answer:

it is A

Step-by-step explanation:

No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4


Find the slope using points: (2,5) and (8,9)

Answers

Answer: The slope is 2/3:)

Step-by-step explanation: (2,5) and (8,9)

9-5 =4 /2=2

8-2 =6 /2= 3

Answer: 2/3 or 4/6.

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

(9 - 5) / (8-2)

= 4/6, which reduces to 2/3.

The slope of the line between the two given points is 4/6, or 2/3 in simplest terms.

I need help with this please

Answers

Answer:

b

Step-by-step explanation:

there's a property for Alternate Interior Angles

Answer:

Choice B

Step-by-step explanation:

The reason why < 3 is equal to < 6 is because they are alternate interior angles.

The first choice are supplementary angles they add up to 180 so they can't be equal.

The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.

The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.

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