Solve
X =-2 and y=3


3x to the 2nd power times y minus x

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

Out of the given statements, statement a. If 4 is a prime number, then 6 is a prime number is the false one. A prime number is a positive integer that has exactly two distinct natural number divisors: 1 and itself.

For example, the number 2 is a prime number because it can only be divided evenly by 1 and 2. 4 is not a prime number because it can be divided evenly by 1, 2, and 4. 6 can be divided evenly by 1, 2, 3, and 6, so it is not a prime number. Therefore, statement a is false because if 4 is a prime number, 6 is not a prime number.

When determining whether a number is a prime number, it is important to remember that 1 is not a prime number. This is because 1 only has one divisor - itself. Any other number that can be divided evenly by more than two distinct natural numbers is not a prime number.

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The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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Answer:

Step-by-step explanation:

1. brackets

in the bigger bracket there is a smaller one do it first

(45-(6+3))x27= (45-9)x27

2. the bracket again

(45-9)x27 = 36 x 27

3. multiply

36x27=972

Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

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• Can you list down similarities of your experience with your circle of friends?

Answer:

True

True

False

False

Step-by-step explanation:

Not absolutely positive, but I believe this is correct.

Answer:

I think its 61.3

Step-by-step explanation:

dont be mad if its wrong. also 10 has one zero so you move the decimal place once to the right

Answer:

no thank you

Step-by-step explanation:

lol good day

The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

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The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A

The vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.

In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:

\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)

From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).

The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is  \((x - 4)^2 - 20.\)

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Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

Answer:

-5,2

Step-by-step explanation:

make one side equal zero, x2 + 3x - 10

use guess and check to reverse foil and find (x+5)(x-2)

solve and get x = -5 , 2

Answer (it has two solutions):

I hope this helps!

Answer:

one-ninth of 54

Step-by-step explanation

54*1/9=6

36*1/4=9

Answer:

1/9 of 54  is smaller than 1/4 of 36

Step-by-step explanation:

1/9 of 54 is 54/9 and that is 6

1/4 of 36 is 36/4 and that is 9.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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The general form of the equation of a straight line in the slope-intercept form is given to be:

where m is the slope of the line and b is the intercept on the y-axis, that is the y-value when x = 0.

To calculate the slope, we can use the formula:

From the question provided, we have the points:

Using these values, we can calculate the slope to be:

Hence, we have the equation of the line to be:

We currently do not have a value for b. We can find b, however, by substituting a point into the equation. Then we can solve for b. Using the second point, we have:

Therefore, the equation of the line is:

Answer:

OOk

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need help on that too

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

4

Step-by-step explanation:

The slope of a line parallel to 2y - 8x = 10 would have the same slope as 2y - 8x = 10, since parallel lines have the same slope.

So to find the slope of the line that is parallel to 2y - 8x = 10, we have to find the slope of 2y - 8x = 10. We can do this by putting the equation in slope-intercept form.

2y - 8x = 10

Add 8x to both sides.

2y = 8x + 10

Divide both sides by 2.

y = 4x + 5

So we can see that the coefficient of x is 4 when the equation is in slope-intercept form. The slope of the 2x - 8x = 10 is 4. Therefore, the slope of the line that is parallel to 2x - 8x = 10 is 4.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Complete question is attached;

Answer:

Option D: 0.3069

Step-by-step explanation:

Formula for coefficient of variation on the company's stock is;

CV = σ/E(r)

Where σ is the standard deviation and E(r) is expected value of return.

From the attached image, we can find E(r) as;

E(r) = 0.45(25) + 0.5(15) + 0.05(5)

E(r) = 19%

From online calculation, the standard deviation is 5.83%

Thus;

CV = 5.831/19

CV ≈ 0.3069

It's true, any irrational number squared will result in a rational number

A real number that can NOT be made by dividing two integers (an integer has no fractional part).

"Irrational" means "no ratio", so it isn't a rational number. We aren't saying it's crazy!

Its decimal also goes on forever without repeating.

A counterpart problem in measurement would be to find the length of the diagonal of a square whose side is one unit long; there is no subdivision of the unit length that will divide evenly into the length of the diagonal. (See Sidebar: Incommensurables.) It thus became necessary, early in the history of mathematics, to extend the concept of number to include irrational numbers. Irrational numbers such as π can be expressed as an infinite decimal expansion with no regularly repeating digit or group of digits. Together the irrational and rational numbers form the real numbers.

Irrational numbers are those that cannot be expressed as a fraction of integers.

 If we square the irrational numbers then it becomes rational numbers as it can be shown as ratio of integers.

\(\sqrt{3}\)  is a irrational number but by squaring it \((\sqrt{3 )^{2}\) is a rational number

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9514 1404 393

Answer:

  y = 5/3x -5

Step-by-step explanation:

The slope is the ratio of "rise" to "run" for the line. Here, marked points are 5 units apart vertically and 3 units apart horizontally. The slope is ...

  m = rise/run = +5/3 = 5/3

There is a marked point on the y-axis at y = -5. That is the y-intercept. Then your equation is ...

  y = mx + b . . . . . line with slope m and y-intercept b

  y = 5/3x -5 . . . . . line with slope 5/3 and y-intercept -5

Answer:

After applying the distributive property, Ezra's expression was 8y + 16

After he used the commutative property, his expression was 16 + 8y

Step-by-step explanation:

Distributive property rule: a(x+y) = ax + ay
   Not much to explain here

Commutative property rule: a + b = b + a   or  xy = yx
   We use addition rule in this case, simply place 16 in front of 8y

Answer:

2.5896

Explanation:

Zero power rule: The zero exponent rule states that any number raised to a power of zero equals one.

10^0 is 1, so nothing changes

Answer:

30

Step-by-step explanation:

(86-32)/1.8 =30