Could someone please help? I literally can’t figure this out

Answer:

f(5) = 2

f'(5) = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Tangent line to a function y = f(x) on a point (5, 2) passes through two points (5, 2) and (0, 1)

Let the equation of the line is,

y - y' = m(x - x')

Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                                                                   = [tex]\frac{2-1}{5-0}[/tex]

                                                                                   = [tex]\frac{1}{5}[/tex]

Therefore, equation of the line passing through (0, 1) and slope = [tex]\frac{1}{5}[/tex] will be,

y - 1 = [tex]\frac{1}{5}(x-0)[/tex]

y = [tex]\frac{x}{5}+1[/tex]

Function representing equation will be,

f(x) = [tex]\frac{x}{5}+1[/tex]

At x = 5,

f(5) = [tex]\frac{5}{5}+1[/tex]

     = 1 + 1

     = 2

f(5) = 2

f'(x) = [tex]\frac{d}{dx}(\frac{x}{5}+1)[/tex]

       = [tex]\frac{1}{5}[/tex]

Therefore, f'(5) = [tex]\frac{1}{5}[/tex] will be the answer.

Answer:

The inequality to describe the problem is 15 +c >25.

We must sell more than 5 cones to make a profit

Step-by-step explanation:

From this problem,  we can see that we need to sell a number of cones (c), that when added to the 15 cones that we have already sold, the result will be greater than 25.

To set up the inequality sign, we need to, first of all, know the inequality sign that we will be using. From the preceding statement, we can see that we need to sell greater than a certain number of cones.  

This should tell us that we will be needing the greater-than sign (>).

The next step is to know the format the equation should take:

We have sold 15 cones; We need to sell c more to make it greater than 25.

This will be 15 +c >25.

The inequality to describe the problem is 15 +c >25.

from this, we can see that c > 5 cones.

We must sell more than 5 cones to make a profit

Answer:

-2[tex]\sqrt{3x}[/tex] + 2[tex]\sqrt{15x}[/tex]

Step-by-step explanation:

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

B(x1+x2/2 , y1+y2/2)   , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

Answer:

D

1/2 is 0.5

5/8 is 0.625

Which one is less than 0.625 and greater than 0.5?

0.6

Answer:

8

Step-by-step explanation:

Answer:

The coordinates of point S are (4,-7).

Step-by-step explanation:

Given the locations of points S and T, the midpoint coordinates are set by midpoint formulas:

[tex]\bar x = \frac{x_{S}+x_{T}}{2}[/tex] and [tex]\bar y = \frac{y_{S}+y_{T}}{2}[/tex]

Where:

[tex]x_{S}[/tex], [tex]x_{T}[/tex] - x-Components of S and T.

[tex]y_{S}[/tex], [tex]y_{T}[/tex] - y-Components of S and T.

The coordinates of S are cleared:

[tex]x_{S} = 2\cdot \bar x -x_{T}[/tex]

[tex]y_{S} = 2\cdot \bar y - y_{T}[/tex]

If [tex]\bar x = 2[/tex], [tex]\bar y = -2[/tex], [tex]x_{T} = 0[/tex] and [tex]y_{T} = 3[/tex], the equations are now solved:

[tex]x_{S} = 2\cdot (2) -0[/tex]

[tex]x_{S} = 4[/tex]

[tex]y_{S} = 2\cdot (-2)-3[/tex]

[tex]y_{S} = -7[/tex]

The coordinates of point S are (4,-7).

Answer:

3/4

Step-by-step explanation:

Answer:

`13.902

Step-by-step explanation:

The absolute value is defined as

[tex]|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]

So for example, if x = 3, then |x| = |3| = 3, since 3 is positive. On the other hand, if x = -5, then |x| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.

For the inequality |7 + 8x| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.

• If 7 + 8x ≥ 0, then |7 + 8x| = 7 + 8x, so that

[tex]|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14[/tex]

• Otherwise, if 7 + 8x < 0, then |7 + 8x| = -(7 + 8x), so that

[tex]|7+8x|>5\implies-(7+8x)>5\implies7+8x<-5\implies8x<-12\implies x<-\dfrac32[/tex]

The solution to the inequality is the union of these two intervals.

Answer:

Width of Teacher desk = 30 in

Step-by-step explanation:

Given:

Length of student desk = 30 in

Width of student desk = 18 in

Length of teacher desk = 50 in

Find:

Width of Teacher desk

Computation:

Assume,

Width of Teacher desk = x

Teacher desk is similar to student desk

Length of student desk / Width of student desk = Length of teacher desk /  Width of Teacher desk

30 / 18 = 50 / x

x = [(50)(18)] / 30

Width of Teacher desk = 30 in

Answer:

The answer is 153.86

Step-by-step explanation:

A= 3.14 x12.25>2

A= 38.465 x 4

A= 153.86

Answer:

-40

Step-by-step explanation:

The team won 16 games and lost 8 games.

Subtraction is one of the four basic arithmetic operations that is used to find the difference.

A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were lost?

The team lost n games.

The team won 8 more games than it lost, so it won n + 8.

The total number of games the team played was n + n + 8, or 2n + 8.

The team played a total of 24 games, so

2n + 8 = 24

We now solve for n.

2n + 8 = 24

2n = 16

n = 8 (lost games)

n + 8 = 8 + 8 = 16 (won games)

Hence, The team won 16 games and lost 8 games.

Learn more about subtraction here;

https://brainly.com/question/11328248

#SPJ2

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Explanation:

The word "combine" has three vowels o, i, and e.

One grouping of the three vowels together leads to oie, which we'll replace with Z for now.

So we have the "word" Zcmbn after taking out the vowels and replacing with Z temporarily. There are 5 letters in Zcmbn making 5! = 5*4*3*2*1 = 120 different permutations.

Within any permutation of Zcmbn, there are 3! = 3*2*1 = 6 ways to arrange the sequence oie

So overall there are 6*120 = 720 different ways to arrange the word "combine" such that all the vowels stick together.

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

Given the coordinates:

(3,−1) and (4,7)

To find:

The equation of line passing through the given points.

Solution:

Let us have a look at the slope intercept form of a line:

[tex]y=mx+c[/tex]

c is the y intercept.

Where [tex]m[/tex] is the slope of the line passing through the points [tex](x_1,y_1),(x_2,y_2)[/tex]

Formula for slope is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]x_1 = 3\\y_1 = -1\\x_2 = 4\\y_2 = 7[/tex]

[tex]m=\dfrac{7-(-1)}{4-3}\\\Rightarrow m = 8[/tex]

So, equation of line becomes:

[tex]y=8x+c[/tex]

Let us put (4, 7) to find the value of c:

[tex]7=8\times 4 +c\\\Rightarrow c = -25[/tex]

So, the equation is:

[tex]y=8x-25[/tex]

The equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

Given information:

The given line passes through the points (3.-1), and (4,7).

It is required to write the equation of the line.

Use the two-point form of a line to write the equation of the line:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-1)=\dfrac{7-(-1)}{4-3}(x-3)\\y+1=8(x-3)\\y+1=8x-24\\y=8x-25[/tex]

From the above equation of the line, the slope is equal to 8.

Therefore, the equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

For more details, refer to the link:

https://brainly.com/question/19082942

Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11

Answer:

100 miles

Step-by-step explanation:

2 rides = 10$

3.5$=10 miles x 10=35$=100 miles

Answer:

D. 1x8

Step-by-step explanation:

7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.

hope this helps! :)

Answer:

it would be 5.75

Hope this helps! :)

(make brainliest if it helped!!)

Answer:

[tex]x = -\frac{1}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

31.1

Step-by-step explanation:

Answer:

31.1

Step-by-step explanation:

124.4 / 4

= 0.1 * (1244/4)

= 0.1 * 311

= 31.1.

Answer:

R(-2,0)

S(0,-4)

T(-4,-3)

Step-by-step explanation:

So first you gotta subtract 2 from each x value and 1 from each y value. After you do that, you get:

R(0,2)

S(-4,0)

T(-3,4)

then i put it all onto a graph, and rotated it 90* counterclockwise, from the origin, which puts it in quadrant 3, with the final coordinates above.

Answer:

$252.50

Step-by-step explanation:

Furture value$252.50

Total Deposits: $200

Interest Earned: $52.50

Answer:

they are parallely far apart

Answer:

6

Step-by-step explanation:

Since the x coordinates are the same, we are only concerned about the y coordinates

Find the difference between -1 and 5

5 - -1

5+1

6

The distance is 6

Answer:

[tex]8^{6}[/tex]

Step-by-step explanation:

power to power rule: multiply the bases

Answer:

262144

Step-by-step explanation:

(8²)³

When there is a power on top of a power, In this case (^2)^3, you DON'T Multiply 2 three times. You multiply two WITH 3.

SO,

(8²)³

=  8^6

Final answer =262144

Answer:

No

Step-by-step explanation:

Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)

The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]

Plug in the values we know.

[tex]V=\pi (5)^2\frac{6}{3}[/tex]

[tex]V=\pi*25*2[/tex]

[tex]V=50\pi[/tex]

[tex]V=157[/tex]

^ If 3.14 was used for [tex]\pi[/tex]

Hope this helps.

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