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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:

is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!

Answer:

a) 1/(7x-14)

b) 2 (36-y^2)

Step-by-step explanation:

Please let me know if you need explanation

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:

see below

Step-by-step explanation:

From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.

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:

ABE

DBC

CBE

Step-by-step explanation:

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

I think

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:

−10d^4+17d^2s−6s^2

Answer:

If you are talking about the amount of money, it is $664,285.71

If not then lmk

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: (x+2)(x+3)

Step-by-step explanation:

Find the multiples of 6 and then see which two numbers adds up to 5

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:

The mass of the dissolved sugar and water is 11 g.

Step-by-step explanation:

When a substance is dissolved in another, they are mixed together forming a new one, therefore the new substance's mass must be the same as the sum of the individual mass of each substance mixed, because there are no leaks. In this case, there are two substances being mixed, the water which have a mass of 10 grams and the sugar which have a mass of 1 gram, therefore the final solution's mass must be equal to 11 g.

Answer:

The millimeter.

Step-by-step explanation:

The best choice here is the millimeter (mm).

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:

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:

B

Step-by-step explanation:

(There  is 2 sides.)

Answer:

What is 1/4*9=2.25 then 2/5*12=4.8

Step-by-step explanation:

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:

[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:

116 degrees.

Step-by-step explanation:

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:

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:

[tex] \sqrt{19} \: units[/tex]

Step-by-step explanation:

Given is a right angled triangle in which x represents the hypotenuse.

Therefore, by Pythagoras theorem:

[tex]x = \sqrt{( { \sqrt{10} })^{2} + {3}^{2} } \\ \\ = \sqrt{10 + 9} \\ \\ = \sqrt{19} \: units \\ [/tex]

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

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Answer:

       b1 + b2

A = ------------- * h

             2

Step-by-step explanation:

What you have here is fine as is, except that the "1/2" should be enclosed in parentheses:

A = (1/2)(b1 + b2)h.

Alternatively, write:

       b1 + b2

A = ------------- * h

             2