Determine whether
the graph below is that of a function by
using the vertical-line test. If it is, use the graph to find
(a) its domain and range.
(b) the intercepts, if any.
(c) any symmetry with respect to the x-axis, y-axis, or the
origin.

[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]

The percent of the computer programmer’s salary deducted for income tax is 17%.

What is percentage of a number?

A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."

Given, weekly wage is $1350 and deduction amount for income tax is $229.50.

The percent of deduction is

[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]

Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.

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Answer:

4, 3, 0

Step-by-step explanation:

Let f(y)=x.

[tex]x=-\frac{1}{2}\sqrt{y+3} \\ \\ -2x=\sqrt{y+3} \\ \\ 4x^2=y+3 \\ \\ y=f^{-1}(x)=\boxed{4}x^2-\boxed{3}[/tex]

The domain of the inverse is the same as the range of the original function. For the original function, we know that it is decreasing, so the range is

[tex]y\leq -\frac{1}{2}\sqrt{-3+3}=0[/tex]

and hence the domain of our inverse is

[tex]x \leq 0[/tex]

Answer: 0.679 liters

Step-by-step explanation:

A centiliter is a measure of volume equal to one hundredth of a liter

Hence,

53,1*0.01=

0.531 liters

A deciliter is a measure of volume equal to one tenth of a liter

Hence,

7.9*0.1=

0.79 liters

0.531+0.79=

1.321 liters

2-1.321=

0.679 liters

The required length of the hose is 20 feet.

Given,

a = 16 feet

b = 12 feet

c = ?  (the required length of hose)

we can use the formula

c = √(a²+b²)

⇒  c = √(16²+12²) feet

        = 20 feet.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle.

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

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Answer:

[tex]y=-(x+6)^2[/tex]

Step-by-step explanation:

Shifting 6 units left, we get:

[tex]x^2 \longrightarrow (x+6)^2[/tex]

Reflecting over the y-axis. we get:

[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]

So, the final equation is

[tex]y=-(x+6)^2[/tex]

Answer: The answer will be in the explanation

Step-by-step explanation:

In step 2 she made the mistake of not dividing the 12/2 and replacing 5 with -13. In step 4 she made the mistake of removing the coefficient. The correct way to do it is this way. Look below on how to do it correctly!

(\sqrt[3]{125}-12/2)(4-6)^2

(5-12/2)(4-6)

(5-6)(4-6)^2

-1(4-6)^2

-1+4

3

Hope this helps owo

The domain and range of of the graph in interval notation are [-4,3) and (-5,5).

The domain are the independent variables for which an expression or equation exists while the range are the dependent variables for which an expression or equation exists.

The given graph is a piecewise function since there are several lines that make up the graph.

Te domain are values of the function lying along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.

Based on the explanation, we can conclude that the domain of the graph in interval notation will be [-4,3) and the range of the graph will be (-5,5).

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Answer:

27.6​ is 40%​ of 69.

Step-by-step explanation:

Step-by-step explanation: I hope this helps.

Answer: The answer is B.

When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

We are given that:

E and f are the points on a number line.

We are also given that the distance between E and F is:

EF = 15 units

Now, we know that E lies at 4

E = 4

We need to find the location of the point F

Now, since we also know that:

EF = F ± E

Substituting the values:

15 = F ± 4

We get that:

15 = F + 4   or   15 = F - 4

F = 15 - 4    or   F = 15 + 4

F = 11           or   F = 19

Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

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Answer:

1: 60 2: 45

Step-by-step explanation:

60, 90, 30 triangle

45 45 90 triangle

The length of the segments AB and BC if AC = 20  then:

AB = 12cm

BC = 8cm

In geometry, a line segment is defined as two different points on a line. In contrast, a line segment is a piece of a line that connects two points. A line has no endpoints and runs indefinitely in both directions, whereas a line segment has two fixed as well as definite endpoints.

Yes. A ray is not the same as a line segment. A ray has one endpoint, but a line segment has two. The ray's one end extends indefinitely, whereas the endpoints of a line segment are always specified and fixed.

We know that:

a:b=c:d as a/b=c/d

AB:BC = 3:2

is AB/BC=3/2

AB=3/2*BC

AC=20=AB+BC

So,

20=3/2*BC+BC

13/2BC=20

BC=8cm

AB=20-8=12cm

The length of the segments AB and BC if AC = 20  then:

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The groups of words that are listed in alphabetical order will be B. peak, pearl, peanut, peasant.

It should be noted that alphabetical order simply had to do with the arrangement based on the alphabet.

In this case, the groups of words that are listed in alphabetical order will be peak, pearl, peanut, peasant.

Therefore, the correct option is B.

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Answer: 20

Step-by-step explanation:

because 8+12=20

Step-by-step explanation:

for 1m=3.60

for 4.5m

4.5(3.60)=16.30

16.40 is the cost!!!!

Answer:

Easy. 1+x=9 sounds like the highest factor for x

Answer:

From these problems, we have that:

Hence the algebraic expression is: 10 + 9y.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the expression is:

(10 - 3y) - 1.

When y = 3:

(10 - 3 x 3) - 1 = 1 - 1 = 0.

The quotient between two amounts a and b is given by a divided by b. For example, the quotient between 10 and 2 is:

10/2 = 5.

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Answer: it would take 19 months to get to 155

Step-by-step explanation:

If Beau weighed two more each month and wanted to get to 155 then you count by two's and see that it would take 19 months to weight 155

If that was the question, I hope this helps

if that was not the question, I am sorry and will try to help more.

Answer:

x = 5, -1

find the roots and the x

Answer:

Breadth of stamp=3 cm

Length of stamp=4 cm

Area of stamp = Area of rectangle = l*b = 3*4 = 12 cm^2

Side of square card = 12 cm

Area of card = Area of square = side^2 = 12^2 = 144 cm^2

No. of stamps that can be filled in card

= Area of card / Area of stamp

= 144/12

= 12

:. 12 stamps can be filled in a card of side 12 cm.

Gillian earned  $42.75 last week.

Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.

...

There are 7 arithmetic operators in Python :

Addition.

Subtraction.

Multiplication.

Division.

Modulus.

Exponentiation.

Floor division.

Gillian work

2.2 hours+3.5 hours= 5.7 hours

5.7 hours× $7.50 =  $42.75

Therefore Gillian earned $42.75

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Answer:

h = -13

Step-by-step explanation:

Use PEMDAS to solve this problem.

11h - 5(h + 3) = -63

~Use distributive property to simplify [ a(b + c) = ab + ac ]

11h - 5h + 15 = -63

~Combine like terms

6h + 15 = -63

~Subtract 15 to both sides

6h = -78

~Divide 6 to both sides

h = -13

Best of Luck!

Answer:

Step-by-step explanation:

11h - 5(h + 3) = -63

-Multiply parenthesis so

-5(h) + -5(3) = -5h - 15

New equation: 11h - 5h - 15= -63

                                   +15  +15

(add 15 to both sides)

[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]

h = -8

Answer:

-1.5

Step-by-step explanation:

Let x be the number

(4x+6)÷2 =-3

2(2x+6)÷2=3

2x+6=3

2x=3-6

2x=-3

x=-3÷2

x=--1.5

Answer:

5; 12; 24; 12.

Step-by-step explanation:

1) if D is midpoint, then 2*CD=CE, it means

2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;

3) CD=x+7; ⇒ CD=12;

CE=5x-1; ⇒ CE=24;

DE=CD; ⇒ DE=12.