Are the statements about the graph of function f true or false?

Step-by-step explanation:

Q5. Let the cost of 28subscriptions be $s.

Words: 1subscription/28subscription = $21/$28

Numbers: 1/28 = 21/s

Cross multiply and solve: 1 x s = 21 x 28

s = 588

Answer with label: $588

Q6.

Words: 2inches/3.6inches = 2.5hours/bhours

Numbers: 2/3.6 = 2.5/b

Cross multiply and solve:

2 x b = 2.5 x 3.6

2b = 9

b = 4.5

Answer with label: 4.5hours

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

Answer:

The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.

Step-by-step explanation:

Answer:

2. [tex]3x^2-13x-10[/tex]

Step-by-step explanation:

Expand (x−5)(3x+2) using the FOIL Method.

Step 2: Apply the distributive property.

[tex]x(3x+2)-5(3x+2)[/tex]

Step 3: Apply the distributive property.

[tex]x(3x)+x(2)-5(3x+2)[/tex]

Step 4: Apply the distributive property.

[tex]x(3x)+x(2)-5(3x)-5(2)[/tex]

Simplify and combine like terms.

Step 5: Simplify each term.

[tex]3x^2+2x-15x-10[/tex]

Step 6: Subtract 15x from 2x.

[tex]3x^2-13x-10[/tex]

Answer: 132 m/s

Step-by-step explanation:

Also known as "fast"

Answer: 132m/s

Step-by-step explanation:

Use the formula: speed = distance/time

Plug in your numbers: speed = 528/4

Solve: speed = 132m/s

Answer:

A and D are the correct answers

Answer:

First, second and fourth are correct;

The third might be correct since fractions and ratios can often represent the same information in different ways and in some cases even in the same way, but this may not always be true.

Answer:

stock index

Step-by-step explanation:

Answer:

stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​    (Please mark me brainliest)

Step-by-step explanation:

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

Answer:

2 ( x^2 + 3 )

Step-by-step explanation:

Answer:

Step-by-step explanation:3x-8y=32

Answer:

7m + 5

Step-by-step explanation:

1) Simplify.

(12m + 1) - 1 (5m - 4) -> (12m + 1) - 5m + 4

2) Eliminate unnecessary parenthesis.

(12m + 1) - 5m + 4 -> 12m + 1 - 5m + 4.

3) Combine like terms.

12m - 5m = 7m, 4 + 1 =5 -> 7m + 5

The solution is 7m + 5

Oksuru   k diyaf         ramincok ani kasilm asiyla olusan bir refle kstir.

Answer:

Therefore, the correct option is;

x = 2

Step-by-step explanation:

Let x represent the number of tiles, and let 1 represent the positive 1 tiles

Let the and operator represent addition we have;

3 × x + 8 × 1 = 4 × x + 6 × 1

We simplify as follows;

3·x + 8 = 4·x + 6

We move and place like terms together as follows;

4·x - 3·x = 8 - 6

From which we have;

x = 2

Therefore, the correct option is x = 2

Step-by-step explanation:   

Edge 2021

verified

Answer: no solution

Answer:

Quads 1 and 2

Step-by-step explanation:

Option A or quadrants 1 and 2 is the correct answer:)

Answer:

C

Step-by-step explanation:

500+450=950

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

Answer:

B. 9

Step-by-step explanation:

3^4/3^2

lets expand it

3 * 3 * 3 * 3/ 3 * 3

just get rid the 3's needed to get rid of the denominator which is 2, so get rid of 2 threes from the top

3 * 3 = 9

And it's okay, I dislike math too. Hope you feel better.

Answer:

b

Step-by-step explanation:

Answer:

C. 7/9 and 0.7 (with bar notation)

Step-by-step explanation:

The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

Answer: answer is E

Step-by-step explanation: because it slope is -6(x) and intercept is (+)9

Answer: 201.06

Step-by-step explanation: The formula is pi times the radius squared.

===========================================================

Explanation:

Check out figure 1 in the attached images below. In this figure, I've plotted the function y = 6/(2x-3) on a 2D grid system. The function curve is in blue. Then I've plotted (2,0) and (3,0) on the x axis. Point A is somewhere between those endpoints. Point A is also on the x axis. Directly above A is point B such that B is on the blue function curve.

The distance from A to B is found by subtracting the y values of each point.

The y coordinate of A is y = 0. The y coordinate of B is y = 6/(2x-3)

Therefore, the distance from A to B is 6/(2x-3) units. This will form the radius of each cylindrical slice as figure 2 shows. Note the color coding to help see how the 2D view corresponds to the 3D view. The xy plane has been laid flat on the floor. So we're viewing the function curve at a downward angle now. Each of those gray cylinders combine to form an approximate 3D volume. The more cylinders we have, and the finer the cuts, the more accurate the total volume.

So it comes down to finding the volume of each cylindrical slice and adding up the volumes. This is effectively what integral calculus is all about.

------------------------------------

Since the radius of each cylinder is y = 6/(2x-3), this means r = 6/(2x-3) is plugged into the formula

V = pi*r^2*h

which is the volume of a cylinder formula

The height of each cylinder is delta x, which we'll use dx for short. So this is where the dx comes from in integrals.

This is what the integral will look like

[tex]\displaystyle V = \int_{2}^{3} \pi*\left(\frac{6}{2x-3}\right)^2dx[/tex]

which turns into

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx[/tex]

after a bit of algebra. We're able to factor the 36pi out because it's a constant

From here we use u-substitution. Let u = 2x-3

This leads to du/dx = 2 which can be solved to dx = du/2

Since u = 2x-3, the lower endpoint x = 2 leads to

u = 2x-3 = 2*2-3 = 1

and x = 3 leads to

u = 2x-3 = 2*3-3 = 3

So the interval 2 < x < 3 turns into 1 < u < 3

After using u-sub, making the proper replacements, and integrating, we get

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx\\\\\\\displaystyle V = 36\pi\int_{1}^{3}\frac{1}{u^2}\frac{du}{2}\\\\\\\displaystyle V = 36\pi*\frac{1}{2}\int_{1}^{3}\frac{1}{u^2}du\\\\\\\displaystyle V = 18\pi\int_{1}^{3}u^{-2}du\\\\\\\displaystyle V = 18\pi\left[-u^{-1}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\[/tex]

Let's evaluate that to get the following

[tex]\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[\left(-\frac{1}{3}+C\right)-\left(-\frac{1}{1}+C\right)\right]\\\\\\\displaystyle V = 18\pi\left(-\frac{1}{3}+1\right)\\\\\\\displaystyle V = 18\pi\left(\frac{2}{3}\right)\\\\\\\displaystyle V = 12\pi\\\\\\[/tex]

So the 3D volume formed by rotating that region (under the curve from x = 2 to x = 3) is exactly 12pi cubic units

Answer:

Step-by-step explanation:

D = { - 4 , 0 , 2 , 7 }

R = { - 8 , - 1 , 3 }

Yes the relation is a function.

Answer:

20 mobile sets.

Step-by-step explanation:

Every mobile set costs:

40000 / 8

= 5000 Rs.

Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:

100,000 / 5000

= 20 mobile sets.

Hope this helped!

Answer:

That ain't normal

Step-by-step explanation: