what is equivalent to 5 x a
1. 5a
2. a^5
3. a x a x a x a x a
4. 5^a

Answer:

C. Both f(x) and its inverse function intersect at point (2, 2).

Step-by-step explanation:

First of all, let's begin defining f(x) = y.

Since the linear function f(x) intersects at

• 6 on the y-axis; and

• 3 on the x-axis;

we can deduce the following equation:

6x + 3y = 6(3)

6x + 3y = 18

3y = -6x + 18

y = -6x/3 + 18/3

y = -2x + 6

f(x) = -2x + 6

Then, we'd want to find the inverse of f(x), which is f`¹(x).

f(x) = -2x + 6

y = -2x + 6

Interchange the variable y to x and vice versa.

x = -2y + 6

2y = -x + 6

y = (-1/2)x + 3

f`¹(x) = (-1/2)x + 3

Since both f(x) and its inverse function are equal to y, set them both as equal.

f(x) = f`¹(x)

-2x + 6 = (-1/2)x + 3

-2x + (1/2)x = 3 - 6

(-3/2)x = -3

x = 2

Substitute x = 2 into y = -2x + 6.

y = -2(2) + 6

y = -4 + 6

y = 2

Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).

I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.

Answer:

b

Step-by-step explanation:

Answer:

ABE

DBC

CBE

Step-by-step explanation:

They all have B as the middle one, and B is the vertex

I think

Answer:

QST = 2x= 2*20 = 40°

Step-by-step explanation:

RSQ+QST= RST

we know that RST is 124

So,

84+2x= 124

Bringing 84 to the other side it becomes negative

2x= 124-84

= 40

Therefore,

x= 40/2

= 20 °

Here's your answer :)

Answer:

The second answer

Step-by-step explanation:

Answer:

116 degrees.

Step-by-step explanation:

Answer:

Not sure what your choices are but.. assuming its finding these,

Inverse: If tomorrow is not Wednesday, then today is not Thursday.

Contrapositive: If Today is not Thursday, then tomorrow is not Wednesday.

Converse: If tomorrow is Wednesday, then today is Thursday. 

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

This is an arithmetic sequence. The explicit formula for an arithmetic sequence is aₙ = a₁ + (n - 1)d where a₁ is the first term and d is the common difference. In this case a₁ = 9 and d = 6 so we have:

aₙ = 9 + (n - 1) * 6

aₙ = 9 + 6n - 6

aₙ 6n + 3

Answer:

b = 7

Step-by-step explanation:

4b + 11 = 39

Subtract 11 to both sides

4b = 39-11

4b = 28

Dividing both sides by 4

b = 7

Answer:

B.

Step-by-step explanation:

= [tex]\sqrt[4]{9} ^{x/2}[/tex]

= Since [tex]\sqrt[4]{} = 1/4[/tex]

= So,  [tex]9^{1/4*x/2}[/tex]

= [tex]9^{\frac{x}{8}[/tex]

Answer:

option B

Step-by-step explanation:

[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]

Answer:

Step-by-step explanation:

We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.

[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,

a = 17, b = 15 and C = 35 degrees.  Filling in:

[tex]A=\frac{1}{2}(17)(15)sin35[/tex]

Do that on your calculator in degree mode and you'll find the area to be

73.1 meters squared

Answer:

−10d^4+17d^2s−6s^2

Answer:

C. The answer is correct

Step-by-step Explanation:

One of the rules that applies when simplifying radical expressions, is that, only like radicals can be added together or subtracted from each other. In other words, the radicand, which is the number inside the "√" must be the same for two or more radicals to be added together or subtracted from each other.

In the expression given in the question, step 1 and step 2 are correct, as well as the final answer.

The final answer is correct because only like radicals can be added as 3√19 and 8√38 are unlike radicals. Their radicands, √19 and √38, are not the same, hence, the radicals do not need to be added.

The answer "3√19 + 8√38" is correct.

Answer:

[tex]18 \:ft^2[/tex]

Step-by-step explanation:

The area of a trapezoid.

[tex](a+b)h\frac{1}{2}[/tex]

[tex](8+4)3 \times \frac{1}{2}[/tex]

[tex](12)3 \times \frac{1}{2}[/tex]

[tex]36 \times \frac{1}{2}[/tex]

[tex]=18[/tex]

Answer: [tex](x^2+9)^2[/tex]

Step-by-step explanation:

Rewrite it in the form [tex]a^2+2ab+b^2[/tex] , where [tex]a=x^2 and b=9.[/tex]

[tex](x^2)^2+2(x^2)(9)+9^2[/tex]

Use Square of Sum: [tex](a+b)^2= a^2+2ab+b^2[/tex]

[tex](x^2+9)^2[/tex]

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Formula of surface area: T.S.A = ph + 2b

p: represents the perimeter of the base, h

h: the height of the prism and B

B: the area of the base.

6 + 8 + 10 = 24

24 x 17 = 408cm^2

Formula of Volume:

V: of a prism is the area of the base

B: times the height h

h: height

V=Bh

8 x 7 = 56cm^3

Answer:

3 the patten is the previous subtracted about decrease by 3

Step-by-step explanation: the pattern decrease the number subtracted by 3 so it starts with 15 and goes to 12 then to 9 so the last one would be six and 9 - 6 = 3

Answer:

First solve the first one

2/x -3/x = 1

Multiply through by x

2/x×x -3/x×x = x

You will get

2 - 3 = x

x = - 1

Substitute x into the second Equation

1/x - 2/y = 2

x = 1

1/1 -2/y = 2

-2/y = 2-1

-2/y = 1

y = -2

Therefore x = - 1 and y = - 2

Hope this helps.

Answer: the correct answers is $14.50

Step-by-step explanation:

The amount that the cafe pays per hour will be $14.50 per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given,

The rate of the library = $13 per hour.

For 12.5 hours.

Earning from library = 13 x 12.5 = $162.5

Cafe pay per hour = x

For 20.5 hours.

Earning from cafe = 20.5x

Total earning = 162.5 + 20.5x

20.5x = 459.75 - 162.5

x = 14.5

Hence "The amount that the cafe pays per hour will be $14.50 per hour".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

Answer:

There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters

Step-by-step explanation:

The parameters given are

Distance between two cones = 10 m

Number of cones = 4

Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = [tex]\binom{4}{2}[/tex] = 6

Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.

Answer:

x = -0.62 and x = 4.29

These values are approximations !

Step-by-step explanation:

You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?

Anyway, to solve it, you can still use the ABC formula.

3x²-11x-6=0

a = 3

b =-11

c = -6

x = [11 + √{121 -4(3 *-6)} ]/ 2*3

x = [11 + √{121 -4(-24)} ]/ 6

x = [11 + √{121 + 96} ]/ 6

x = [11 + √{217} ]/ 6

x = 4.29 This is an approximation !

x = [11 - √{121 -4(3 *-6)} ]/ 2*3

x = [11 - √{121 -4(-24)} ]/ 6

x = [11 - √{121 + 96} ]/ 6

x = [11 - √{217} ]/ 6

x = -0.62 This is an approximation !

extra: see the graph.

Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

Answer:

0.15p+3=9

Lyda ordered 40 photos or p=40

Step-by-step explanation:

The formula for this is:

0.15p+3

Where p is the amount of pictures ordered.

0.15p+3=9

Subtract 3 from both sides

0.15p=6

Divide both sides by 0.15

p=40

Lyda ordered 40 photos

Answer:

About 7 brown M&M's.

Step-by-step explanation:

To find 14% of 52, multiply 0.14 * 52. This equals 7.28, round to 7.

Answer:

y = 1/4 x -3

Step-by-step explanation:

The y intercept ( or where it crosses the y axis ) is -3

Pick 2 points to find the slope

(0,-3) and (4,-2)

The slope is

m = (y2-y1)/(x2-x1)

   = (-2 --3)/ (4-0)

   = (-2+3)/4

   1/4

The slope intercept form of the equation is

y = mx+b where m is the slope and b is the y intercept

y = 1/4 x -3

Answer:

Step-by-step explanation:

[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]

hope this helps

Answer:

y = 1/4x

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (2-1)/(8-4)

    = 1/4

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 1/4x +b

Substitute a point into the equation

1 = 1/4(4) +b

1 = 1+b

b= 0

y = 1/4x