If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f '(5).

Answer:

x = 7.5

Step-by-step explanation:

Step 1: Subtract x from both sides.

1.5x−0.5−x=x+3.25−x

0.5x−0.5=3.25

Step 2: Add 0.5 to both sides.

0.5x−0.5+0.5=3.25+0.5

0.5x=3.75

Step 3: Divide both sides by 0.5

0.5x ÷ 0.5 = 3.75 ÷ 0.5

Hoped this helped!

☆*: .｡. o(≧▽≦)o .｡.:*☆

Answer:  The distance is 30

Step-by-step explanation:

To find the distance between the two points,find the difference between the x and y values, square them and add them to find their square root.

10 - (-14) = 24

-16 - 2=   -18

24^2 + 18^2 = d^2  where d is the distance

576 + 324 = d^2  

900 =d^2

d = [tex]\sqrt{900}[/tex]

d= 30

Answer:

d=30

Step-by-step explanation:

distance between 2 points: d

d=√(x2-x1)²+(y2-y1)²     (-16,10) and (2,-14)

d=√(2-(-16)²+(-14-10)²

d=√18²+(-24)²

d=√324+576

d=√900

d=30

Answer:

I don't really understand what this means but the advantage of buying a new vehicle gives you a better car and if its better you can use less gas on it or maybe it goes faster and has more ways to drive it.

Step-by-step explanation:

Answer:

Measured and Counted.

Step-by-step explanation:

Continuous data are usually “Measured”, but discrete data are usually “Counted”.

The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.

Answer:

x = 135°

Step-by-step explanation:

Sum of interior angles of a pentagon is 540°

x + 80 + 110 + 95 + 120 = 540

--> x = 540 - 80 - 110 - 95 - 120 = 135

Answer:

-49

Step-by-step explanation:

0-112+63=x

-112+63=x

-49=x

Answer:

-49 aka 49 feet below the surface/

Step-by-step explanation:

112-63=49 but make it negitave.

Answer:

Nick get = $10

Pam get = $28.25

Step-by-step explanation:

Given:

Total amount paid = $38.25

Nick work = 1 hour 5 minutes = 1.0833 hr

Pam work = 3 hour

Find:

Amount they get

Computation:

Assume each get x in 1 hour

So,

3x + 1.0833x = 38.25

4.0833x = 38.25

x = 9.3674

Nick get = 1.0833(9.3674) = 10.14 = $10

Pam get = $38.25 - $10 = $28.25

Answer:

Circle

Step-by-step explanation:

just took test and got it correct

Circle is the set of all points in a plane is equidistant at a given distance from a point.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”.

Since, we know that

A two dimensional figure in which the set of all the points in a plane is equidistant from a given is called circle.

Therefore, option B is correct.

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Answer:

2 3/4 gallons in each container

Step-by-step explanation:

Gallons of water = 11

Containers = 4

Larry pours 11 gallons of water equally into 4 containers

Gallons of water in each container = Total gallons of water / number of containers

= 11 / 4

= 2 3/4

There are 2 3/4 gallons of water in each containers

The equation is

Gallons of water in each container = Total gallons of water / number of containers

Answer:

30.4

Step-by-step explanation:

2 times 15.2

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Step-by-step explanation:

plz forgive me if my answer is wrong

Domain = looking for the very far left value and the very far right value on the x-axis, and only x-axis, so the farthest left x-axis value and the farthest right x-axis value.

Range = very bottom y-value, and very top y-value

In both cases, if the arrows extend forever then that means you could have the value of infinity.

Answer:

It's TRUE!

CLOSURE PROPERTY IS USED !

Given :

The number of goals they scored over the first 7 games of the season are :

3, 7, 3, 0, 5, 8, 2 .

To Find :

The mean number of goals the Strikers scored each game .

Solution :

We know , mean of numbers is given by :

[tex]M=\dfrac{\text{Sum of all numbers}}{\text{Total numbers}}\\\\M = \dfrac{3+7+3+0+5+8+2}{7}\\\\M=\dfrac{28}{7}\\\\M=4[/tex]

Therefore , the mean number of goals the Strikers scored each game is 4 .

Hence , this is the required solution .

Answer:

x = 45

45 years old

Step-by-step explanation:

x + 3 = 4(x - 33)

x + 3 = 4x - 132

x - 4x = - 132 - 3

-3x = -135

x = -135/-3

x = 45

Answer:

≤

Step-by-step explanation:

First we solve 5(x + 2) ≥ 2(x + 8).

5x + 10 ≥ 2x + 16

3x ≥ 6

x ≥ 2.

Now we place an equal sign into the box:

4(x - 6) = 2(x - 10)

4x - 24 = 2x - 20

2x = 4

x = 2.

For the solution to only have 1 value, the solution must be x = 2.

Therefore we must have x ≥ 2 and x ≤ 2.

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

Answer: 100 dollars

Step-by-step explanation:

Answer: 312

Step-by-step explanation:

First you start with 50 dollar

then multiply 12.50 by 12

then multiply 14.00 by 8

last add everying thing up; 50+150+112

and you get 312 dollars

aka: $312.00

Answer: 3x-x+2=4

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

-18 - 4 =

We are subtracting both number so add them and then give them a negative sign

-( 18+4)

-22

Answer:

-22

Step-by-step explanation:

Answer:

  you're nearly there

Step-by-step explanation:

You have obviously determined the correct entry in the top box of each pair. What you seem to have failed to observe is that the bottom box in each pair needs exactly the same entry as the top box.

_____

You figure this out by looking at the stuff that is outside the box. The numbers and symbols for the second box show how the function indicated outside the first box is evaluated. That is f(x) at the top becomes 4x at the bottom, where x (in this case) is x/4 for both.

Answer:  see below

Step-by-step explanation:

Write each equation in y = mx + b format where m is the slope and b is the y-intercept.

Left side: -4 ≤ x < -1

If you continue the line through the y-axis it will pass through (0, 4) --> b = 4

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (4)   -->    y = -x + 4

Right side: -1 < x < 4

The line passes through (0,0) --> b = 0.

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (0)    -->    y = -x

[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]

Answer:

150 g

Step-by-step explanation:

The 2 part of the ratio represents 60 g , thus

60 g ÷ 2 = 30 g ← value of 1 part of the ratio, then

5 parts = 5 × 30 g = 150 g ← amount of flour required

Answer:

[tex]\mathtt{\Delta K.E = 10500 \ J}[/tex]

Step-by-step explanation:

Given that:

the expression for the change in kinetic energy = [tex]\dfrac{1}{2} \times 350 \times ( 122 -62)[/tex]

Recall that

Kinetic energy K.E = [tex]\dfrac{1}{2}mv^2[/tex]

where,

m = mass of the horse

v = velocity of the horse

The change in kinetic energy between  two instant times can be expressed by the relation

[tex]\Delta K.E = K.E_2 - K.E_1[/tex]

[tex]\Delta K.E =\dfrac{1}{2}mv^2_2- \dfrac{1}{2}mv^2_1[/tex]

[tex]\Delta K.E =\dfrac{1}{2}m(v^2_2-v^2_1)[/tex]

where;

m = 350

[tex]v_2[/tex] = 122

[tex]v_1[/tex]= 62

[tex]\Delta K.E =\dfrac{1}{2} \times 350 \times (122-62)[/tex]

[tex]\Delta K.E =\dfrac{1}{2} \times 350 \times (60)[/tex]

[tex]\Delta K.E = 350 \times 30[/tex]

[tex]\mathtt{\Delta K.E = 10500 \ J}[/tex]

Answer:

5.3× 10⁴= ?

Step-by-step explanation:

10⁴ can also be written as 10×10×10×10= 10000

so, 5.3 × 10000= 53000

Scientific notations are the way through which a very small or a very large number can be written in shorthand. The value of 5.3×10⁴ in standard form is equal to 53,000.

Scientific notations is the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

Given the numerical value 5.3×10⁴ which is needed to be written in the standard form, therefore, we can write,

5.3 × 10⁴

= 5.3 × 10,000

= 53,000

Hence, the value of 5.3×10⁴ in standard form is equal to 53,000.

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Answer:

The correct answer i would think would be A. 1 + -1= 0

Step-by-step explanation:

Answer:

  $800

Step-by-step explanation:

We are told that ...

  0.90 × (weekly income) = $720

Dividing by 0.90 gives ...

  (weekly income) = $720/0.9 = $800

Sally's weekly income is $800.

Answer:

Step-by-step explanation:

d = number of dimes

2.80 = 0.1d + 0.25 (d + 8 )

2.80 = 0.1d + 0.25d + 2            Combine like terms

2.80 = 0.35d + 2                       Subtract 2 from both sides

0.80 = 0.35d                             Divide both sides by 0.35

d ≈ 2.29

No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.