What function is shown in the graph?

A) y = -2x

B) y = 2-x

C) y = 2x – 5

D) y = 2x – 5

Answer:   [tex]\bold{c)\quad f^{-1}(x)=\dfrac{ln(x)}{2}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=e^{2x}\\\\\text{Swap the x's and y's:}\\x=e^{2y}\\\\\text{Apply ln to both sides:}\\ln\ x=ln\ e^{2y}\\\\\text{ln e cancels out}\\ln\ x=2y\\\\\text{Divide both sides by 2:}\\\dfrac{ln\ x}{2}=y[/tex]

Answer:

D. 21

Step-by-step explanation:

28-21=7

28-7=21

Answer:

cos(18°)=sin(72°)

Step-by-step explanation:

we know that

In a right triangle

cos(A)=sin(B)

If A and B are complementary angles

so

A+B=90°

In this problem

A=18°

B=90-18=72°

therefore

cos(18°)=sin(72°)

The answer is A.)(-3,1) , (-3,5) , (0,5)

Hope this helps! :)

Let's do this in steps, show your work!

#1. We need to move all terms to one side.

x^2 - 7x = 0

#2. Then factor out the common term x.

x(x - 7) = 0.

#3. Simplify to get..

x = 0, 7.

If you need help with any other question let me know.

92%. 23 divided by 25 is .92 pretty much meaning he got a 92 on that math test (A-)

Devon answered 92% of the problems that were applied on test correctly.

Percentage is a way of expressing a proportion or a fraction as a portion of 100. It is commonly used to compare quantities, indicate relative amounts, or express the part-to-whole relationship.

The term "percent" originates from the Latin phrase "per centum," meaning "by the hundred." It is represented by the symbol "%".

We know that;

Percent = Correct answers/Total answers * 100/1

= 23/25 * 100/1

92%

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Answer:

-3x

Step-by-step explanation:

    x                            x

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

x^2 -4x + 4            x^2-3x+2

          x                            x

= ----------------  -  --------------------

   (x -2)^2            (x - 2)(x - 1)

       x (x-1)  - x(x +2)                       

= ----------------------------

         (x -2)^2 (x - 1)

     x^2 -x -x^2 - 2x                    

= --------------------------

     (x -2)^2 (x - 1)

          -3x                    

= -----------------------

     (x -2)^2 (x - 1)

Therefore; the missing term is -3x

Hey there!

The correct answer should be 12

Since there are 3 different pizza sizes & 4 different toppings, all we have to is multiply 3 by 4 (number of pizza sizes multiplied by the number of toppings)

3 * 4 = 12

Here is the work:

1. Small with pepperoni

2. Medium with pepperoni

3. Large with pepperoni

4. Small with sausage

5. Medium with sausage

6. Large with sausage

7. Small with green pepper

8. Medium with green pepper

9. Large with green pepper

10. Small with mushroom

11. Medium with mushroom

12. Large with mushroom

As you can see, there are 12 options

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

The answer in the attached figure

Step-by-step explanation:

we have

[tex]4x + 2y = -2[/tex] -----> equation A

[tex]x-3y=24[/tex] -----> equation B

Isolate the variable x in the equation B

[tex]x=3y+24[/tex] ----> substitute in the equation A and solve for y

[tex]4(3y+24) + 2y = -2[/tex]

[tex]12y+96+ 2y = -2[/tex]

[tex]14y = -2-96[/tex]

[tex]14y = -98[/tex]

[tex]y = -7[/tex]

Find the value of x

[tex]x=3(-7)+24=3[/tex]

The solution of the system of equations is the point (3,-7)

Answer:

80

Step-by-step explanation:

times it all

Answer:

68 in^2

Step-by-step explanation:

Bottom and Top

base of parallelogram  = 4*4 = 16

Since there are two of them, the area = 2 * 16 = 32

left and right faces

I think you have to assume this is a  rectangle. We do not know the height for a parallelogram.

Area = l*w

Area = 4 * 2.5

Area = 10 in^2

But there are two of them.

Area = 2* 10 = 20 in^2

Front and back faces

The area is the area of a parallelogram

Area = b * h

Area = 2 * 4

Area = 8 in^2

But there are 2 of them

The area for 2 is 8*2 = 16 in^2

Total Area

Total Area = 16 + 20 + 32

Total Area = 68 in^2  

Final answer:

Algebra and algorithm are mathematical terms originating from al-Khwarizmi, a prominent Arab mathematician.

Explanation:

Algebra and algorithm are two mathematical terms that originated from the Arabic mathematician al-Khwarizmi. Al-Khwarizmi's work in the ninth-century book 'ilm al-jabr wa'l-muqabala laid the foundation for these terms and significantly influenced the field of mathematics.

Answer:

D) MNO

Step-by-step explanation:

A) and B) are over the y axis

C) is over both axes

D) is correct: it is a reflection over the x axis.

Answer:

The answer is D

Step-by-step explanation:

Answer:

The correct answer is (FALSE)

Step-by-step explanation:

(APEX)

The statement is false. Credit Unions are subject to federal regulations and are overseen by the National Credit Union Administration (NCUA) in the United States.

The statement, 'Credit unions are not subject to federal regulations,' is False. Credit unions, like other financial institutions, must adhere to several federal regulations. The National Credit Union Administration (NCUA) is the federal agency that charters and supervises federal credit unions in the United States. Among other duties, it's their role to administer the National Credit Union Share Insurance Fund (NCUSIF), which provides deposit insurance for credit union members, much like the FDIC does for bank customers.

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Answer:

For two points (x,a) and (x,b), the distance would be |a-b| or |b-a| both would be the same.

Step-by-step explanation:

What is the rule without an absolute value?  basically we are looking for the difference (which is the answer to a subtraction problem) between the two.

Say the two points are (x,a) and (x,b)  So they have the same x value but different y values.  Now, when you want to take the difference you usually want to subtract the smaller number from the larger, but hat happens if you don't?  So instead subtract the larger number from the smaller number?  I'm gonna show a few examples.

7-5 = 2

5 - 7 = -2

7 - 3 = 4

3 - 7 = -4

As you can see, no matter which order you subtract you will always get the same number, just either positive of negative.  We are going to use that.  Basically, we can have the two in either order, as long as we have them inside of an absolute value, we will always get the same answer.

so, for our two y values, a and b, it doesn't matter which is larger |a-b| = |b-a| and this is the distance.  

The distance between two points that have the same x-coordinate on a coordinate plane can be calculated by taking the absolute difference of their y-coordinates. This calculation will always yield a positive value, reflecting the fact that distance is a scalar quantity.

The distance between two points with the same x-coordinate on a coordinate plane (i.e., two points on a vertical line) can be determined using absolute value. If these points have y-coordinates of y1 and y2, the distance between them (d) is the absolute difference of their y-coordinates. Mathematically, this is expressed as:

d = |y2 - y1|

Here, the symbol '|' surrounding the difference represents the absolute value, which makes any negative result positive. For example, if we have points A(3, 4) and B(3, 1), using our rule, the distance between these points would be |1 - 4| = |-3| = 3 units.

This absolute value method ensures that the distance is always a positive number, regardless of whether y2 is bigger than y1 or not. This essentially reflects the basic principle of distance being a scalar (having only magnitude but not direction).

Answer:

The function is odd.

Step-by-step explanation:

A function is even if the graph of the function is symmetric with respect to the y-axis. A function is odd if the graph of the function is symmetric with respect to the origin. To find if the function is even or odd, we're going to graph the function using DESMOS.

As you can see in the attached picture, the function is symmetric with respect to the origin. Therefore, the function is odd.

Answer:

The answer is D

Step-by-step explanation:

4.8 times 0.5 equals 2.4+ 1.2 = 3.6 which is the total number of miles he ran/walked

Hope it helped!

Because the formula is rise over run, it would be 3/12, and simplified is 1/4.

bc = fg

the letters should correspond with each other

(b is in the middle of abc and f is in the middle efg; c & g are both at the end)

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]

Answer:

l = 9 cm

b = 7 cm

h = 3 cm

Step-by-step explanation:

Formula:-

Volume of cuboid = lbh

l - Length of cuboid

b - breadth of cuboid

h - Height of cuboid

To find the dimensions of prism

Here prism is like a cuboid.

Volume of prism = 189 cm^3

Height h = 3 cm

Volume = lbg

189 = l * b* 3

l * b = 189/3 = 63 = 9 * 7

Therefore l and b may be 9 and 7

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷To find the area you need to multiply length and width.

45*25 = 1125 square inches for the area

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the area of the floor, you need to multiply the length and the width.

Width:25 inches

Length:45 inches

Multiply: 45*25=1125

Final answer:

1125 square inches

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

Option B. 3 bags

Step-by-step explanation:

step 1

Find the area of the flower bed

The area of the flower bed is the area of a triangle

A=(1/2)bh=(1/2)(20)(6)=60 m^2

step 2

Divide the area by 20 square meters to find the number of bags of topsoil

(60)/(20)=3 bags

Answer:

B. 3 Bags

Step-by-step explanation:

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

[tex]\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}[/tex]

Solving the equation we get,

[tex]\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}[/tex]

[tex]9\times 4=3\times n(n -1)[/tex]

[tex]36=3\times n(n -1)[/tex]

[tex]n^2-n-12=0[/tex]

[tex]n^2-4n+3n-12=0[/tex]

[tex]n(n-4)+3(n-4)=0[/tex]

[tex](n-4)(n+3)=0[/tex]

[tex]n=4,-3[/tex]

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

[tex]S=\frac{D}{T}[/tex]

[tex]S_a=\frac{4\times 450}{9}[/tex]

[tex]S_a=200 m/min[/tex]

Brian completes 3 laps in that 9-minute time, so his rate is

[tex]S_b=\frac{3\times 450}{9}[/tex]

[tex]S_b=150 m/min[/tex]

Therefore, Alan: 200 m/min

Brian: 150 m/min

Answer:

Step-by-step explanation:

Answer:

She needs 0,75 ft of wire

Step-by-step explanation:

Hello

She needs (0.30 ft)*(2.5) = 0,75

Best regards

Answer: $20.84

Step-by-step explanation: In order to calculate Tony’s minimum payment you need to calculate how much 15% is of his balance.

138.90 x .15 = $20.84, which is 15% of his balance.

The minimum payment is the greater of 15% or $20, so his minimum payment will be $20.84.

The answer is $188.90. If I am wrong, please correct me.

Answer:

[tex]\large\boxed{\dfrac{C}{d}=\pi}[/tex]

Step-by-step explanation:

We have the radius r = 9.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

The diameter d = 2r.

The ratio of the circumference of the circle to the circle's diameter:

[tex]\dfrac{C}{d}=\dfrac{2\pi r}{2r}=\pi[/tex]