QUESTION 2
Consider the hyperbolic function (y + 2)(x − 4) = 3.
2.1 Write down the domain and range of the function.​

Step-by-step explanation:

(-1.5)x × -0.25x = 0.375x²

remember, -×- = +

Answer: $56

Step-by-step explanation:

20% of 70=14

70-14=56

The value of angle P = 119°

The value of angle Q = 61°

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of angle P be = P

Let the value of angle Q = Q

Now , the equation will be

Measure of angle P is three less than twice the measure of angle Q

Substituting the values in the equation , we get

P = 2Q - 3   be equation (1)

And , angle P and angle Q are supplementary

So ,

P + Q = 180°   be equation (2)

Substituting the value of P from equation (2) in equation (1) , we get

2Q - 3 + Q = 180

On simplifying the equation , we get

3Q - 3 = 180

Adding 3 on both sides of the equation , we get

3Q = 183

Divide by 3 on both sides of the equation , we get

Q = 61°

Therefore , the value of Q is 61°

Substitute the value of Q in equation (2) , we get

P + Q = 180°

Subtracting Q on both sides of the equation , we get

P = 180° - 61°

P = 119°

The measure of angle P = 119°

Hence , The value of angle P = 119°

The value of angle Q = 61°

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Here is the two column proof:

    Statement                                        Reason                                              

===================================================

    Statement                                        Reason                                              

Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left

5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5

Frame calculation process in your words but the final answer is each child ate 5 cookies.

Assuming that the football field is a perfect rectangle, we will see that its area is 5,500 square yards.

We assume that the football field has a rectangular shape. Remember that for a rectangle of length L and width W the area is given by the formula below.

A = L*W

In this case, we know that the dimensions of the football field are:

L = 100 yards

W = 55 yards.

Then we just need to replace these values in the area formula that is written above, we will get:

A=  (100 yd)*(55 yd)

A = 5,500 yd²

The area of that football field is 5,500 yd², so the correct option is the second one.

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Answer:

8865= 6000 * 1.05[tex]x^{ttt}[/tex]

Step-by-step explanation:

if it is compound interest you multiply initial saving by 1.05 as this is and increase by 5% to the power of the number of years he has saved for.

8865= 6000 * 1.05[tex]x^{ttt}[/tex]

1.4775=1.05[tex]x^{ttt}[/tex]

to find ttt:

[tex]log _{1.05}[/tex][tex]1.4775= 8.0006=8[/tex]

thus ttt= 8 years

Answer:

47% or .47

Step-by-step explanation:

Answer:

y = -8(x - 2)² + 4

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

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Answer:

It's not a function

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}

For a relation to be a function, the domain (x-values) should NOT repeat values.

Here,

Domain = {6, -4, 5, 4, 6}

The number 6 in domain is repeated. Hence, this relation is not a function.

[tex]\rule[225]{225}{2}[/tex]

Answer:

2/5.

Step-by-step explanation:

1/2 times 4/5 is equal to (1/2) * (4/5), which simplifies to 4/10. Since 4/10 can be simplified to 2/5, the answer is 2/5.

Answer:

the answer is 2/5 or as a decimal 0.4

Answer:

---------------------

It has three different  zeros of multiplicity 1.

Correct choice is C.

AnSwErS:

Target:

1. The probability of rolling a 7 on a 6-sided die.

2. The probability of rolling a 4 on a 6-sided die.

3. The probability of flipping a head on a coin.

4. The probability of drawing a green or red marble from a bag with 6 red, 5 blue, and 3 green marbles.

5. The probability of rolling a number less than 7 on a 6-sided die.

Step-by-step explanation:

HOPE THIS HELPS!!!!

Answer:

  24

Step-by-step explanation:

Given right triangle sides x, 2x-3, and 2x+3, you want to know the length of the side labeled x.

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

  (2x +3)² = (2x -3)² +x²

  4x² +12x +9 = 4x² -12x +9 +x²

  x² -24x = 0 . . . . . subtract 4x² +12x +9

  x(x -24) = 0   ⇒   x = 0 or 24

The length of the side labeled x is 24 units.

__

Additional comment

The triangle is an 8-15-17 triangle scaled up by a factor of 3.

Answer: length=6 feet

Step-by-step explanation:

For this you need to create one equation from the question and use the equation for perimeter.

equation 1 is     2W+2L=P   where perimeter is 43.

equation 2 is w=3L-2.5

-Now you want to take equation two and plug it into equation 1 for w to find L

It will be  2(3L-2.5)+2L=43 and you want to solve for L

distribute the 2   2(3L-2.5)+2L=43

add up the Ls      6L-5+2L=43

add 5 to each side    8L-5=43

divide each side by    8L=48

Then you get L=6

Now use L=6 to plug into equation two to get W(width)

w=3(6)-2.5=18-2.5=15.5

Now plug in both W and L into equation 1 to make sure you get 43

P=2(15.5)+2(6)=32+12=43 this means that w and l are correct and you get the perimeter given. So length (L) is 6.

Answer:

To write the unit form for 1/3, you can simply write "1/3" or use the fraction symbol, which looks like a horizontal line with the numerator above the denominator. For example, you can write the unit form for 1/3 as follows:

1/3

Alternatively, you can use the fraction symbol, like this:

1/3

In both cases, the numerator (the number on top of the fraction) is 1 and the denominator (the number on the bottom of the fraction) is 3. This indicates that the value of the fraction is one-third.

Answer:

Step-by-step explanation:

m/9 - 1 = -2

m/9 = -1

m = -1 × 9

m = -9

------------------------------

check

-9/9 -1 = -2

-2 = -2

the answer is good

Answer:

94.4

Step-by-step explanation:

The coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and

D'(2, -1).

What is translation of points?

By describing how far a point is moved left, right, and up or down, translations are defined.

If we know which way and how far the figure should be moved, we can draw the translation in the coordinate plane. Use P'(x + a, y + b) to translate the point P(x, y) to the right and up, respectively, by a and b units.

For the given graph, the coordinates of ABCD are,

A(-2, 3)

B(-1, 3)

C(-1, 1)

D(-2, 1)

The translation is, (x, y) → (x + 4), y - 2)

So, the coordinates of A'B'C'D' are,

A(-2, 3) → A'(2, 1)

B(-1, 3) → B'(3, 1)

C(-1, 1) → C'(3, -1)

D(-2, 1) → D'(2, -1)

The graph of translation is attached below.

Hence, the coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and

D'(2, -1).

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The federal tax withheld each week for Mike Williams is given as follows:

$37.

Mike Williams salary is given as follows:

$425 a week.

The range that contains the salary, from the table given at the end of the answer, is given as follows:

Between $420 and $430.

The number of allowances that he claims is given as follows:

One allowance.

Hence the federal tax withheld each week is given by the 4th column of the interval between 420 and 430, as he claims one allowance, and the numeric value of this tax is given as follows:

$37.

(which is the weekly amount that he pays in taxes).

The table with the tax information is given by the image shown at the end of the answer.

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Answer:

a rotation 90 degrees clockwise of the orgin

Step-by-step explanation:

Answer:

It will take 48 seconds before the planes are at the same altitude.

When there are at the same altitude, they will be at 3864 feet.

Step-by-step explanation:

Because its right :)

please give brainliest

The Integral value of  (2x+11)/(x²-x-2) is[tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

The given integral is [tex]\int\dx \frac{2x+11}{x^{2} -x-2} dx[/tex]

By partial fractions we divide the integral

Apply the sum rule:

∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx+\int\dx \frac{11}{x^{2} -x-2} dx[/tex]

Let  us calculate the first integral part

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx[/tex]

Let us use the partial fraction of [tex]\frac{x}{x^{2} -x-2} dx:\frac{1}{3(x+1)} +\frac{2}{3(x-2)}[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2\int\dx \frac{1}{3(x+1)} dx+ \frac{2}{3(x-2)} dx[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)[/tex]

Now let us integrate second term.

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=11\int\dx \frac{1}{x^{2} -x-2} dx[/tex]

We can write denominator as x²-x-2= (x-1/2)²-9/4

[tex]=11\int\dx \frac{1}{(x-\frac{1}{2}) ^{2} -\frac{9}{4}} dx[/tex]

We apply u substitution method

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)[/tex]

[tex]=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

Hence, [tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex] is the integral value of of (2x+11)/(x²-x-2).

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Answer: Not sure, Sorry

Note: I try to help people, but i tried and cannot get a right answer.

Message: If this helped you, let me know by giving me a thanks! :)

Answer and step-by-step explanation:

If Bradley bought nine pounds of apples for $8.37, then the price per pound for the apples is $8.37/9 = $0.93.

If Kristen went to the same orchard on the same day and bought four pounds of apples, then she paid $0.93/pound * 4 pounds = $3.72 for the apples.