Sketch the graph of the function by first making a table of
values.

[tex]f(x)=-x+3, -3\leq x\leq 3[/tex]

Answer:

$27,072.88

Step-by-step explanation:

$3,307,673,720,131 ÷ $122,176,626

x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

The single percentage change is 6.85%.

Here it is given that there is a 19% decrease and a 15% increase. And we have to find a single percentage change.

The formula of single percentage is

a + b + a .b/ 100

So let's take a = -19 as there is a decrease in the percentage and b = 15 as there is an increase.

So we get a single percentage = -19 + 15 - (19×15)/ 100

                                                    = - 4 -2.85

                                                    = -6.85

Therefore the single percentage change is 6.85%.

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Answer:

35.

Step-by-step explanation:

The term "absolute value" asks for the number without any negativity, e.g. distance. Even if you go backwards from your original spot, you still move.

Let J be the intersection of the diagonals

[tex]pj = \frac{po}{2} = \frac{6}{2} = 3[/tex]

[tex]rj = \frac{rq}{2} = \frac{8}{2} = 4[/tex]

Applying the Pythagorean theorem:

[tex](pr) {}^{2} = (pj) {}^{2} +( {rj})^{2} \\ pr = \sqrt{(3) {}^{2} + (4) {}^{2} } = \sqrt{9 + 16} \\ pr = \sqrt{25} = 5[/tex]

The simplification of the given expression using laws of Indices is :

[tex]\frac{y^{14}}{z^{14}}[/tex]

How to use Laws of Indices?

We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.

The above can be expressed as :

[(y⁻² * z³)/(z⁻⁴ * y⁵)]^(-2)

Collecting like terms and When two terms that are divided have the same base and different exponents, we keep the base and subtract the exponents, hence :

= [(y⁻² * z³)/(z⁻⁴ * y⁵)]²

= [(z⁻⁴ * y⁵)/(y⁻² * z³)]²

= [(z⁻⁴/z³) x (y⁵/y⁻²)]²

= [z^{-4-3} x y^{5+2}]²

= [z^{-7} x y^{7}]²

Then both numerator and denominator exponents multiply by 2, hence the equivalent expression is :

= [tex][\frac{y^{7}}{z^{7}}]^{2} = \frac{y^{14}}{z^{14}}[/tex]

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Answer:

(-11, 11]

Step-by-step explanation:

The domain of a graph is the set of x-values.

An open circle means the endpoint is not included, whereas a closed circle means the endpoint is included.

Answer:

Step-by-step explanation:

C

The value of the maximum profit of the function is 680

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the profit function is given as

P(x) = 230 + 30x - 0.5x^2

Differentiate the function

So, we have

P'(x) = 0 + 30 - x

Evaluate the like terms in the function

So, we have

P'(x) = 30 - x

Set the function to 0

So, we have

30 - x = 0

Evaluate

x = 30

Substitute x = 30 in the equation P(x) = 230 + 30x - 0.5x^2

So, we have

P(30) = 230 + 30 x 30 - 0.5 x 30^2

Evaluate

P(30) = 680

Rewrite as

Pmax = 680

Hence, the value of the maximum profit of the function is 680

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The simplification of the given expression 2 √-24+6 is 9.8 i + 6.

Complex numbers are helpful in finding the square root of negative numbers.

A complex number is the sum of a real number and an imaginary number.

Given the expression,

2 √-24+6

Now,

2 √-24+6 = 2√(-1 × 24) + 6

⇒ 2 √(-1) × √24 + 6

Since √(-1) is an imaginary number and is denoted by "i".

So,

2 √(-1) × √24 + 6 = 2i × √24 + 6

⇒ 2√24 i + 6

⇒ √4 × √24 i + 6

⇒ √(4×24) i + 6

⇒ √96 i + 6

⇒ 9.8 i + 6

Hence "The simplification of the given expression 2 √-24+6 is 9.8 i + 6".

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Answer:

Step-by-step explanation:

new position is (-5, 4)

Answer:

1b= 1080 degrees

2a= pentagon is 540 degrees inside. Add all values and you get 377

540-377= 163

Answer:

Rational

Step-by-step explanation:

its not a whole number

Answer:

C - 1/81

Step-by-step explanation

There are 6 sides on a standard die (1, 2, 3, 4, 5, 6). Out of these numbers, only 3 and 6 are divisible by 3. Therefore, 2/6 numbers would be divisible by 3. As the die is rolled 4 times, we multiply 2/6 4 times - (2/6)(2/6)(2/6)(2/6) to get 1/81. The probability that the die shows a number divisible by three all four times is 1/81. Hope that helps!

Answer: 11

Step-by-step explanation:

Just go through the order of operations. (PEMDAS)

Evaluate the exponent first,

X=3

3^1=3

then multiply 2 and 3, which gives you 6

then finally add 5

this gives you the answer of 11

The answer to this question is:

A certain type of sailboat travels at 7 nautical miles per hour.

A summer camp provides 3 meals for each camper.

The amount of units of the first quantity that correspond to one unit of the second quantity is shown as the unit rate.

Nadia pays $30 for 2 baseball tickets.

i.e. the price for two baseball tickets is $30,

By the above definition,

It is not a unit rate,

A certain type of sailboat travels at 7 nautical miles per hour.

i.e., 7 nautical miles are covered in 1 hour,

By the above definition,

It is a unit rate,

The cost of 3 hot chocolates is $2.

i.e., there are 3 chocolates for every 2 dollars.

By the above definition,

It is not a unit rate,

A summer camp provides 3 meals for each camper.

i.e., 3 meals are provided for every camper,

By the above definition,

It is a unit rate.

Therefore,

are the options that describe unit rates.

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The value of f (1) is 5.

The value of f (-7) is - 35.

The value of f (y + 2) is (-y²- 5y + 1).

What is Function?

A relation between a set of inputs having one output each is called Function.

The function is given as;

⇒ f(x) = -x² - x + 7

Now, To find value of f (1), substitute the value of x = 1 in given function and then calculate as;

⇒ f(x) = -x² - x + 7

⇒ f (1) = - (1)² - 1 + 7

⇒ f (1) = - 1 - 1 + 7

⇒ f (1) = 5

Hence, The value of f (1) is 5.

To find value of f (-7), substitute the value of x = -7 in given function and then calculate as;

⇒ f(x) = -x² - x + 7

⇒ f(-7) = -(-7)² - (-7) + 7

⇒ f(-7) = -49 + 7 + 7

⇒ f(-7) = - 35

Hence, The value of f (-7) is - 35.

To find value of f (y + 2), substitute the value of x = y+2 in given function and then calculate as;

⇒ f(x) = -x² - x + 7

⇒ f(y + 2) = -(y + 2)² - (y + 2) + 7

⇒ f(y + 2) = - (y² + 4y + 4) - y - 2 + 7

⇒ f(y + 2) = - y² - 4y - 4 - y - 2 + 7

⇒ f(y + 2) = -  y² - 5y + 1

Hence, The value of f (y + 2) is (-y²- 5y + 1).

So, The value of f (1) is 5.

The value of f (-7) is - 35.

The value of f (y + 2) is (-y²- 5y + 1).

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The distance between base of tree and swing set is 24 feet.

We are given the angle of depression and the vertical height. Joining the three points, which are top and base of tree and swing set forms a right angled triangle. The height of tree will be perpendicular of triangle and base will be the distance between base of tree and swing set.

The angle at the swing set will be equal to 30.26°, as alternate angles are equal.

So, the angle formed can be related with perpendicular and base by -

tan theta = perpendicular ÷ base

Keep the values in formula to find the value of base

Base = perpendicular ÷ tan theta

Base = 14 ÷ tan 30.26°

Base = 14 ÷ 0.5834

Performing division

Base = 24

Hence, the distance between  base of tree and swing set is 24 feet.

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565x + 2043

I am writing this extra because the app says the answer is to short :)

Answer:

i thank it is 8/9 divided by 2/3 times 3/4

Step-by-step explanation:

The equation of this straight line is y = 50x + 100.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

In order to determine the equation from this graph of a linear equation, we would find the slope of the straight line by using this formula as follows:

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Slope, m = 100/2

Slope, m = 50.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

At point (4, 300), we have:

y = mx + c

300 = 50(4) + c

300 = 200 + c

c = 300 - 200

c = 100.

Therefore, the equation of this straight line is y = 50x + 100.

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Answer:

part A agree because two negatives cancel each other making a positive

part B agree x is still positive and 18 is still negative

Answer:

1651

Step-by-step explanation:

Add up the numbers, and you get your answer. [tex]1585+16.25+49.75=1651[/tex]

Answer:

No solution.

Step-by-step explanation:

There is not an number that I can put in for x and y and get the answer 4 and -4.

Answer:

No solutions

Step-by-step explanation:

Given system of equations:

[tex]9x - y = 4 \\ 9x - y = -4[/tex]

Let us substitute the equation 9x - y = 4 into the second equation:

[tex]\implies 9x - y = -4[/tex]

[tex]\implies 4 = -4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [9x - y} = 4} ][/tex]

But 4 = -4 is not possible, as they are opposite integers. Since 4 ≠ -4, there are no solutions for the given system of equations.

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Answer:

[tex] \sf \: 6 \frac{ 7}{8}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=8+5/2−3−5/8

Solving the whole number parts

8−3=5

Solving the fraction parts

5/2−5/8=?

Find the LCD of 5/2 and 5/8 and rewrite to solve with the equivalent fractions.

LCD = 8

20/8−5/8=15/8

Simplifying the fraction part, 15/8,

15/8=1 7/8

Combining the whole and fraction parts

5+1+7/8= 6 7/8

x = 78

The equation given is

   3[tex](x + 3)^{3/4}[/tex]= 81

first we will divide 3 of the right side to left side number which is 81

i.e 81/3 = 27

So we get the equation

[tex](x + 3)^{3/4}[/tex] =27

We can also write the equation as

[tex](x + 3)^{3/4}[/tex]= [tex]3^{3}[/tex]

[tex][(x + 3)^{1/4]^{3}[/tex]= [tex]3^{3}[/tex]

So from, this we get

[tex](x + 3)^{1/4}[/tex] = 3

Now we have to side with the multiply both power of four(4)

[tex][ (x + 3)^{1/4}]^{4}[/tex]= [tex]3^{4}[/tex]

we get

x + 3 = 81

x = 78

So the value of x is 78.

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On reflecting f(x) = 9x in the x-axis and vertical compression by a factor of 1/3 we get the transformation g(x) where, g(x) = -3x

Transformation of the function means that the curve representing the graph either moves to the left or right or up or down or expansion , compression or reflection of graph happens.

Rules for reflection over x axis  :  for an curve y = f(x) , replace y by -y and keep x as it is, we get -y = f(x) or y = - f(x)

Rules for vertical compression by a factor α : y becomes αy .If f(x) is compressed by a factor of 1/2 the the transformations becomes 1/2(f(x))

Given function is f(x) = 9x

When we reflect f(x) over x axis then the transformations becomes some h(x) where h(x) = -f(x) =-9x

Now we want to vertically compress it by a factor of 1/3 , then this transformation will become g(x) = 1/3(h(x)) = 1/3(-9x) =(-9/3)x =-3x

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Answer:

Not enough information.

Step-by-step explanation:

I don't believe this equation can be solved without more information, what process would you normally use to solve this equation? Do you know how many numbers X is worth? if not I would have to guess the answer would be 4x but i'm not sure that's correct.

Answer:

[tex]f(8) = - 42[/tex]

Step-by-step explanation:

Hi there!

You have to substitute x = 8 into:

[tex]f(x) = 6(1 - x)[/tex]

It then becomes:

[tex]f(8) = 6(1 - 8)[/tex]

Calculate the above

[tex]f(8) = - 42[/tex]