Evaluate the function: g(x) = -x +4 Find: g(b-3)​

The inverse of the given function is y = x³ + 2

Given the radical function below expressed as;

f(x) = ∛x-2

This can be written as;

y = ∛x-2

Replace y with x

x = ∛y-2

Take the cube of both sides

x³ =y - 2

y = x³ + 2

Hence the inverse of the given function is y = x³ + 2

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Answer:

[tex]f^{-1} (x)=x^{3} +2[/tex]

Step-by-step explanation:

from plato

Less workers = more hours

OR the answer might be worded as

More workers = less hours

Answer:

t+s = 9

4t+9s=51

tulips and succulents combined is 9 plants

the amount of money they have combined is $51

Step-by-step explanation:

rewrite the equation as follows

c2d = a - b

divide both sides by 2d

c = (a - b)/2d

Answer:

The probability of selecting two democrats is 1/380

Step-by-step explanation:

Here we are given the people as,

8 democrats, 8 republicans and 6 independent.

So total number of people are: 8+6+6=20

Probability of choosing first democrat = 1/20

Probability of choosing first democrat = 1/19

Thus P( two democrats in succession ) = 1/20 ×1/19

                                                                = 1/380

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Answer:

I'm not sure what the question is.    I'll offer one simplification that might help.

Step-by-step explanation:

[tex]\sqrt{3} - 3(4*\sqrt{8})[/tex]

One can convert the [tex]\sqrt{8}[/tex] to [tex]\sqrt{2} *\sqrt{4}[/tex] and then that becomes [tex]\sqrt{2} *\2}[/tex]2 or 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{3} - 3(4*\sqrt{2}\sqrt{4})\\[/tex]

[tex]\sqrt{3} - 3(4*2*\sqrt{2})\\[/tex]  See above explanation.

[tex]\sqrt{3} - 24*\sqrt{2})\\[/tex]

Answer:

b.) Subtracting 5 then dividing both sides by -2

Step-by-step explanation:

Given expression:

⇒ -2x + 5 = 9

To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.

When done so:

⇒ -2x = 9 - 5

⇒ -2x = 4

⇒ -2x/-2 = 4/-2

⇒ x = -2

Answer:

there ya go :)

The 9th percentile of the bill amounts is 81.0634.

Population mean, µ = 110.56

Population standard deviation, σ = 22

a) p = 0.09

Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408

Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634

9th percentile = 81.0634

b) p = 0.66

Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125

Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342

66th percentile = 119.6342

c) Median = 0.50

Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0

Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56

Median = 110.56

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The sample size is 289.

Zα/2 = [tex]Z_{0.025}[/tex]

= 1.96  

Sample size = n

n = [Zα/2* σ / E] 2

n = [1.96 * 26 / 3 ]2

n = 288.54

n = 289.

In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.

An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.

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Answer:

The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).

Step-by-step explanation:

Answer:

the sum of all exterior angle is 360 degree

The value of x will be 50°. Then the correct option is D.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

Then the sum of the adjacent angle of the parallelogram is 180 degrees.

Then the value of x that makes ABCD a parallelogram will be

The one angle is x+60°.

Then the another angle will be 70°.

Then we have

x + 60° + 70° = 180°

       x + 130° = 180°

                  x = 50°

Then the correct option is D.

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Answer:

y = - 3x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1)

m = [tex]\frac{-1-2}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - 3x - 1 ← equation of line

Answer:

⇒ π and √ 78

Rational number:

A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...

Irrational number:

A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....

_________________________

Rational numbers.

The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.

18 is a whole number and integer making it rational.

9 is a integer and a whole number = rational.

169 is a integer and whole number = rational.

_____________________________________

Irrational numbers.

√78 ≈ 8.831760866

This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.

Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.

It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.

_____________________________________

Therefore, the number that are irrational is π and √78.

Answer: 4²

Step-by-step explanation:

There is some rule but just remember:

1. parenthesis

2. exponents

3. division/multiplication

4. subtraction/addition

Answer:

Here's your answer guy

Step-by-step explanation:

a)cat

b)8

c)6....

Answer:

(3,3) (-1,-3), you just have to look at the coordinates

Answer: [tex]\sqrt[4]{64}[/tex]

Step-by-step explanation:

[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]

Step-by-step explanation:

please mark me as brainlest

Answer:

.7 I your answer to your question hope it's help

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

35/50 -->    [tex]\frac{7}{10}[/tex]
divide 35 by 5 = 7
divide 50 by 5 = 10

Answer:

given a regular polygon which means that it's all sides are equal and all angles are equal

one angel of a polygon is 3x

the sum of all the angles of a polygon = 360°

3x + 3x + 3x + 3x + 3x + 3x = 360°

18x = 360°

x = 20°

Answer: Hope this helps you I guess.

2

Answer:

2 is the length of BC

Step-by-step explanation:

If we will look at this line, we can determine that unit interval is 1, so we subtract B from C, which is 2, and that's the answer

Answer:

75

Step-by-step explanation:

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Here, we can use an angle rule.

We see that angles [tex](8x+50)[/tex]° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.

This means we can use the rule:

Corresponding angles are equal.

This means that:

[tex]8x + 50 = 130[/tex]

We can now use this equation we have formed to solve for [tex]x[/tex]:

[tex]8x + 50 = 130\\8x = 80\\x = 10[/tex]

Therefore, our final answer is [tex]x=10[/tex].

Answer:

The angles are 18° and 72°

Step-by-step explanation:

Finding the unknown angle

       Let the smaller angle = x

     The larger angle          = 4*x = 4x

x + 4x  = 90

      5x = 90

        x = 90 ÷ 5

       x = 18

Smaller angle = 18°

Larger angle = 4*18 = 72°

Step-by-step explanation:

[tex] = {i}^{31} [/tex]

[tex] = {i}^{28} \times {i}^{3} [/tex]

[tex] = {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)[/tex]

[tex] = ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i[/tex]

[tex] = ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i[/tex]

[tex] = {1}^{7} \times ( - i)[/tex]

[tex] = 1 \times ( - i)[/tex]

[tex] = - i[/tex]

The answer is D.

Answer:

-6, 14, -26, 10x -4, -8x + -2x - 6

Step-by-step explanation:

So F(x) is setting that the values before the lines are equal to x and should be applied to the problem. Dont forget PEMDAS with these tho, they'll try to trick u like that.

So for the first one, f(0) you plug 0 where the x's are.

1.) 8(0)^2 +2(0) -6

0 + 0 - 6 = -6

2.) 8(2) +2(2) - 6

16+ 4-6= 20 - 6= 14

3.) 8(-2) + 2(-2) -6

-16 + -4 -6 = -26

On the ones where they leave the x there, you just have to leave the x. But don't forget distribution tho.

4.) 8(x+1) +2(x+1) -6

8x +8 + 2x + 2 -6

10x +10 -6 = 10x -4

5.) 8(-x) + 2(-x) -6

-8x + -2x -6

Step-by-step explanation:

the given function is f(x) = 8x² + 2x -6

f(0) = 8(0)² + 2(0) -6 = -6

f(2) = 8 (2)² + 2 (2) - 6 = 30

f(-2) = 8 (-2)² + 2 (-2) - 6 = 22

f (x+1) = 8(x+1)² + 2 (x+1) -6

= 8(x² +2x +1 ) + 2x -4

8x² + 16x +8 +2x -4 = 8x² + 18x + 4

f(-x) = 8(-x)² + 2 (-x) - 6

= 8x² -2x -6