If f(x) = 2x - 1, find f'(x).​

9514 1404 393

Answer:

  A) r = d/t

  B) 221,760 ft/h

  C) 42 mi/h

  D) miles; the number is more comprehensible

Step-by-step explanation:

A) Given d = rt

Divide by the coefficient of r to solve for r.

  r = d/t

__

B) Fill in the given numbers to find the rate in ft/h.

  r = (665,280 ft)/(3 h) = 221.760 ft/h

__

C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.

  (221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h

__

D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.

Answer:

Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.

Step-by-step explanation:

i hope my answer to be appreciated!!

Answer:

First number = 147

Second number = 105

Step-by-step explanation:

Let the two numbers be 7x and 5x

7x - 5x = 42

2x = 42

x = 21

First number = 7x = 7 x 21 = 147

Second number = 5x = 5 x 21 = 105

Hope this helps!

Answer:

y = - 2x + 5

Step-by-step explanation:

m , ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~

m = - 2 and ( 4 , - 3 )

y - ( - 3 ) = - 2( x - 4 )

y + 3 = - 2x + 8

y = - 2x + 5

Answer:

Step-by-step explanation:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

none

Step-by-step explanation:

that's not the correct sign

Answer: [tex]\text{m}\angle T=45^{\circ}[/tex]

Step-by-step explanation:

Given: In ΔSTU, [tex]\text{m}\angle S = (2x+10)^{\circ}[/tex] , [tex]\text{m}\angle T = (3x-9)^{\circ}[/tex], [tex]\text{m}\angle U = (6x-19)^{\circ}[/tex]

To find: [tex]\text{m}\angle T[/tex].

We know that the sum of all the angles of a triangle is [tex]180^{\circ}[/tex].

In ΔSTU,

[tex]\text{m}\angle S+\text{m}\angle T+\text{m}\angle U=180^{\circ}\\\\ 2x+10+3x-9+6x-19=180\\\\ 11x-18=180\\\\11x =180+18\\\\11x=198\\\\x=\frac{198}{11}\\\\ x=18[/tex]

[tex]\text{m}\angle T = (3(18)-9)^{\circ}\\\\=(54-9)^{\circ}\\\\= 45^{\circ}[/tex]

Hence, [tex]\text{m}\angle T=45^{\circ}[/tex]

Answer:

y = 5

Step-by-step explanation:

3y - 2 = 13

We are solving for y, so we want to isolate it.

Add 2 to both sides.

3y = 15

Continue isolating y by dividing both sides by 3.

y = 5

Check your answer by plugging it back into the original equation.

3y - 2 = 13

3(5) - 2 = 13

Multiply.

15 - 2 = 13

Subtract.

13 = 13

Your answer is correct.

Hope this helps!

Answer:

y = 5

Step-by-step explanation:

Get y by itself:

3y - 2 = 13

     +2    +2

3y = 15

Divide by 3:

3y = 13

÷ 3    ÷ 3

y = 5

Answer:

-32..............

......

Answer:

-32.

Step-by-step explanation:

This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.

Answer:

Step-by-step explanation:

Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.

Answer:

980.1769079 cm^2

2261.946711cm^3

Step-by-step explanation:

Step-by-step explanation:

4*2-7x=-3

8-7x=-3

-7x=-3-8

-7x=-11

x=-11/-7

x=1.5714...

Answer:

Step-by-step explanation:

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

[tex]{ \tt{slope = \frac{ - 4 - 4}{ - 1 - ( - 1)} }} \\ = { \red{ \tt{! \: math \: error}}}[/tex]

Answer:

13/12 x²

Step-by-step explanation:

x / 12 x + x²

Rewrite

x / 12 x + x + x²

Write the division as fraction

1/12 x + x + x²

Calculate the product

1/12 x² + x²

calculate the sum

13/12 x²

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, fig. B to fig. A

Consider the horizontal lengths, then

scale factor = [tex]\frac{8}{4}[/tex] = 2

Answer/Step-by-step explanation:

Mean is a measure of center tendency which can be said to be the average value of a set of data. It can be referred to as the commonest value in a data set. It is the sum of all data values in a given set divided by the number of values.

For example, a test score for a class of 5 is given as 5, 6, 2, 4, 7

The mean = sum of all values/number of data values

= (5 + 6 + 2 + 4 + 7)/5

= 24/5

Mean = 4.8

Answer:

56

Step-by-step explanation:

Answer:

2 hours and 32 minutes

Step-by-step explanation:

John Read a book at 11:32 and stopped at 2:14

What you have to do is add minutes up and hours up until you get to 2:14pm and all the hours and minutes it took to get there you add up and thats ur answer :)

Answer:

12

Step-by-step explanation:

Jeffrey made scale drawings of the house a lot

He used a scale of 7 inches: 4 feet

The actual width of the backyard is 48

Therefore the width of the backyard in the drawing is

= 48/4

= 12

Answer:

It's A

Step-by-step explanation:

B is out, because each step increases the value linearly by 1

C is out, because each step increases the value linearly by 9

D is out, because each step increases the value linearly by 6

A increases fivefold per step

I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it

Answer and Step-by-step explanation:

(4 × 5 + 2)(3 - (2 × 3))

I think this is it but I'm not sure.

22 × -3 = -66 is I think the answer.

#teamtrees #PAW (Plant And Water)

Answer:

98/15

Step-by-step explanation:

[tex](\frac{4}{5} +2)[/tex][tex](3-\frac{2}{3} )[/tex]

=(4 + 5*2)/5  (3*3 -2)/3

=(4+10)/5  (9-2)/3

=(14/5 )(7/3)

if there is no any sign between the two fraction inside bracket then it means to multipli.

=14/5 * 7/3

=14*7/5*3

=98/15

Answer:

$81.10

Step-by-step explanation:

Profit = total revenue - total cost

1 liter = 1000 mm

7 liter = 7000 mm

Number of jars needed = 7000 / 250 = 28

total revenue = number of jars sold x price per jar

28 x  $8.95 = 250.60

Total cost = $155.50 + (0.5 x 28) = 169.50

Profit = 250.60 -  169.50 = 81.10

Answer:

[tex]968[/tex]

Step-by-step explanation:

[tex]4q(q + 3w)^2 [/tex]

[tex]4(2)[(2)+3(3)]^{2} [/tex]

[tex]8[(2)+3(3)]{}^{2} [/tex]

[tex]8(2+9) ^{2} [/tex]

[tex]8 \times 11 ^{2} [/tex]

[tex]8 \times 121[/tex]

[tex]968[/tex]

Answer:

C =(x-3)(x-2)/x

or

x²-5x+6/x

Step-by-step explanation:

2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x

Factorizing the given factors

1) 2x^2 - 4x - 6

= 2x^2 - 6x+2x - 6

= 2x(x-3) +2(x-3)

= (x-3)(2x+2)

2) x^2 - 4

= (x+2) (x-2)

3) 2x^2 + 2x

= 2x( x+1)

Putting the factors

(x-3)(2x+2)/x + 2   *  (x+2) (x-2)/2x( x+1)

= (x-3)(2x+2) (x-2)/2x( x+1)

= 2(x-3)(x+1) (x-2)/2x( x+1)

=(x-3)(x-2)/x

Now multiply

(x-3)(x-2) =x²-5x+6

Then the answer becomes  x²-5x+6/x

Given:

The lengths, in inches, of each fish are listed:

9, 13, 9, 21, 18

To find:

The statement that best represents the meaning of the range for these data.

Solution:

The given data values are:

9, 13, 9, 21, 18

Arrange the data values in ascending order.

9, 9, 13, 18, 21

Here, the maximum value is 21 and the minimum value is 9.

We know that,

[tex]\text{Range}=\text{Maximum value}-\text{Minimum value}[/tex]

[tex]\text{Range}=21-9[/tex]

[tex]\text{Range}=12[/tex]

The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.

Answer:

Hello! answer: 268 square meters

Step-by-step explanation:

To find the total surface area you find the area of each face then add them up so...

10 × 3 = 30

10 × 3 = 30

8 × 3 = 24

8 × 3 = 24

10 × 8 = 80

10 × 8 = 80

Now that I found the area for each face I will just add them up so...

30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!

[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]

The above pieces will form a cuboid, having dimensions :

[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]

[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]

[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]

We know that Surface area of Cuboid is :

[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]

Let's solve,

[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]

[tex]\longrightarrow2[80 + 24 + 30][/tex]

[tex]\longrightarrow2 \times 134[/tex]

[tex]\longrightarrow268 \: m {}^{2} [/tex]

[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]

Answer:

[tex]x[/tex] would be [tex](1/3)[/tex] when [tex]y = 3[/tex].

Step-by-step explanation:

The question states that [tex]x[/tex] varies "inversely" as [tex]y^2[/tex]. In other words, there is a non-zero number [tex]a[/tex] (a constant) such that:

[tex]\displaystyle x = \frac{a}{y^2}[/tex].

The challenging part is to find the value of [tex]a[/tex] in this equation.

Given that [tex]x = 3[/tex] when [tex]y = -1[/tex], replace the [tex]x[/tex] in this equation with [tex]3[/tex] and [tex]y[/tex] with [tex](-1)[/tex]. This equation should still be valid:

[tex]\displaystyle 3 = \frac{a}{(-1)^{2}}[/tex].

Solve for [tex]a[/tex]:

[tex]a = 3 \times (-1)^2 = 3[/tex].

Hence, the relation between [tex]x[/tex] and [tex]y[/tex] becomes:

[tex]\displaystyle x = \frac{3}{y^2}[/tex].

Find the value of [tex]x[/tex] when [tex]y = 3[/tex] by replacing the [tex]y[/tex] in this equation with [tex]3[/tex].

[tex]\displaystyle x = \frac{3}{3^2} = \frac{1}{3}[/tex].

In other words, the value of [tex]x[/tex] would be [tex]\displaystyle \frac{1}{3}[/tex] when [tex]y = 3[/tex].

Answer:

3/10

Step-by-step explanation:

There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10

Answer:

3/13

Step-by-step explanation:

Total cards in a deck=52

There are four cards of each number which in this case is 2,3,4

Total of 2s,3s,and 4s=12

12/52 simplify this and u get

3/13

Hope this helps u

Answer:

A = -7.5   B = -17.5

Step-by-step explanation:

A + B = -25

A = B + 10

Plug the second equation into the first equation:

B + 10 + B = -25

2B = -35

B = -17.5

Plug that value into the first equation:

A - 17.5 = -25

A = -7.5