What are the domain and range of the function f(x)=-log(5-x)+9?

The products of the polynomials are:

To do this, we multiply each pair of polynomial as follows:

Pair 1: (xy + 9y + 2) and (xy – 3)

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

Pair 2: (2xy + x + y) and (3xy² - y)

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

Pair 3: (x – y) and (x + 3y)

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

Pair 4: (xy + 3x + 2) and (xy – 9)

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9)  = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18

Pair 5: (x² + 3xy - 2) and (xy + 3)

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6

Pair 6: (x + 3y) and (x – 3y)

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²

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Answer:

The answer is 4188.79 ft^3.

Step-by-step explanation:

The formula is V=4/3πr^3. The radius is 10, turning that into V=4/3π10^3. 10^3 is 1000, and 1000 times 4/3 is 1333.33. 1333.33 times 3.14 (or π) is equal to 4188.79 ft ^3 rounded to the nearest 100th. I hope this helps! :)

Answer:

The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.

...

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Sin 0 Degree Trigonometry Formulas

Inverse Cosine Law of Sines Formula

Answer:

Answer:11

Step-by-Step Answer:

When we multiply 11 with 1\2 then thier answer will be 11\2

Answer: 45 degrees

Step-by-step explanation:

90-45 = 45

The correct answer is option C which is  [tex]\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right][/tex].

Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.

The multiplication of the matrix will be calculated as:-

M = [tex]\dfrac{1}{2}\left[\begin{array}{cc}12&64&\\78&30&\\\end{array}\right][/tex]

M  =    [tex]\left[\begin{array}{cc}\dfrac{12}{2}&\dfrac{64}{2}&\\\dfrac{78}{2}&\dfrac{30}{2}&\\\end{array}\right][/tex]

M =     [tex]\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right][/tex].

Therefore the correct answer is option C which is  [tex]\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right][/tex].

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Answer:

Step-by-step explanation:

2(6²)-3(6)+2=y

(2x36)-18+2=y

72-18+2=y

y=52 BODMAS

It may also be 56 tho im not sure if thats right

Put x in Equation

Answer:

[tex] 56\: in^2[/tex]

Step-by-step explanation:

Answer:

I think it's 160...

Step-by-step explanation:

1/4 of 1000 is 250

250

- 90

____

160

Answer:

x = 100

Step-by-step explanation:

[tex]4x^{2} -371=29\\[/tex]

      + 371   +371

[tex]4x^{2} =400[/tex]

[tex]\sqrt{4x^{2} } =\sqrt{400}[/tex]

[tex]4x=400[/tex]

Divide both sides by 4.

x = 100

Hope it helps!

Answer:

  84 cm²

Step-by-step explanation:

The figure has a uniform horizontal cross section, so its area is the product of that cross section length and its vertical dimension.

__

  A = bh

  A = (6 cm)(14 cm) = 84 cm²

The area of the shape is 84 square centimeters.

_____

Additional comment

You could decompose the figure into a rectangle with base 6 and height 8, and a parallelogram with base 6 and height 14-8=6. The area formula is the same for each: A = bh, so the area of the composite figure is ...

  A = 6×8 +6×(14 -8)

  = 6×(8 +(14 -8))

  = 6×14 . . . . same as above.

The similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

It is defined as a three-dimensional space enclosed by an object or thing.

Part 1:

Volume of larger solid = (512) cubic cm

Volume of small solid = 2197 cubic cm

Ratio of the volumes = 512/2197

Taking cube root:

Similarity ratio = 8/13

Part 2:

Similarity ratio by taking the cube root of each volume = 8/13

Taking the square of the above ratio:

= 64/169

Part 3:

64/169  = 960/SA(larger)

SA(larger) = 2535 square cm

Thus, the similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

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Step-by-step explanation:

a rhombus is a parallelogram with 4 identical sides.

it has therefore two pairs of equal angles.

as any quadrilateral the sum of all interior angles is 360°.

(and yes, as add-on, the diagonals bisect each other at right angles).

so, one interior angle is 79°.

that means it has a twin that is also 79°.

together they have 79×2 = 158°.

that leaves

360 - 158 = 202°

for the other 2 angles (they must be equal too).

so, each of them has

202/2 = 101°

so, the other 3 angles are

79°, 101°, 101°

The solution to the equation 4 + √(5x + 66) = x + 10 is x = -10 and x = 3

From the question, we have the following parameters that can be used in our computation:

4 + √(5x + 66) = x + 10

Subtract 4 from both sides

So, we have

√(5x + 66) = x + 6

Take the square of both sides

5x + 66 = x² + 12x + 36

So, we have

x² + 7x - 30 = 0

When expanded, we have

x² + 10x - 3x - 30 = 0

So, we have

(x + 10)(x - 3) = 0

Solve for x

x = -10 and x = 3

Hence, the solution to the equation 4 + √(5x + 66) = x + 10 is x = -10 and x = 3

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The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².

Area of a circle = πr² (radius of the circle = r).

Given the following:

Radius of the circle = √((radius of sphere)² - (distance of the  plane  from  the  center of sphere²)) = √(8² - 7²)

Radius of the circle = 3.87 cm

Area of the circle = π(3.87²) ≈ 15π cm².

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Answer:

Always

Step-by-step explanation:

The alternate interiors are the orange pair and the green pair in between lines a and b. They've got symmetry! Rotating one of those lines 180 degrees won't change the picture or the angles of intersection, but it will flip one onto the other. Anyway, there's you answer above, if that's all you're looking for.

Answer:

Let us assume your secret number is 12, and we can simply write down ALL the factors of 12:

1, 12

2, 6

3, 4

Answer:

I think A sorry if wrong

Step-by-step explanation:

have a good day

The total time spent in minutes is 110 minutes

The given parameters are:

The total time is calculated as:

Total = Erica + Sean

So, we have:

Total = 1 hour, 15 minutes + 35 minutes

1 hour = 60 minutes

So, we have:

Total = 60 minutes + 15 minutes + 35 minutes

Evaluate the sum

Total = 110 minutes

Hence, the total time spent is 110 minutes

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Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

Answer:

9

Step-by-step explanation:

The equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

The correct formats of the equations are:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

To determine the equation, we substitute 4x^4 + 6x^3 - 11 for y in the first equation.

So, we have:

4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

Hence, the equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

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Answer:

a(y=-5x+2500) b(2,380) c(25months)

Step-by-step explanation:

someone point out if I'm wrong. I'm not so sure about "c".

(how I got b)

So 2 years=24 months

y=-5x+2500

So x would be 24.

-5(24)+2500

-120+2500

2,380

Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

A geometric sequence is a sequence of numbers or functions in which successive member differ by a constant term called the common ratio.

Analysis:

For a, the first term is 3/16, second term is 3/8. if we divide the second term by the first we have 2. If we do same with the third and second we still have 2. so this is a geometric sequence

For d, if we divide 9 by 3 we have 3, if we divide 27 by 9 we have 3. so this is a geometric sequence.
For f, if we make x equal to a nonzero integer, we have first term as -16/9, second term as -64/81 and third term as -256/729. if we divide the second term by the first we have -4/9, if we divide the third by the second we have-4/9.

In conclusion, Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

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Answer:

c

Step-by-step explanation:

y goes up by 4, so the each step is by 4, so that is the slope, which is the number before x, and then you subtract 4 to find the y-intercept, and 3-4=-1

Answer:

4

Step-by-step explanation:

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

3+x = 7

Subtract 3 from each side

3+x-3 = 7-3

x = 4

The total length of the trip 190.08 miles

How you do it is to add the 44% of 132 to 132

= (132 + (132×44%))

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.

First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.

132 × 0.44 is 58.08 miles.

Then you add that to the rest of the trip, 132 miles.

= (132 + 58/08

=190.08

The total length of the trip was 190.08 miles.

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Answer: 0.388

8 continuing so draw a line over the eights.