Restrictions must be indicated for rational functions involving a denominator because__________
is not defined​

Step-by-step explanation:

{x : x < 100}

means all numbers smaller than 100. but that includes all negative numbers. so, NO.

{y|y > -0.1}

while this includes all positive numbers, it also includes all numbers between -0.1 and 0. e.g. -0.001

so, NO

{x|x in N}

N is the set of all natural numbers. that is the set of all positive integers.

so, YES

{y : 0 < y < 1}

that is all numbers between 0 and 1. that's are only positive numbers between 0 and 1.

so, YES

{x|x in Z}

Z is the set of all integer numbers (including the negative ones). so, NO

{y : 3 <= y < 22}

ask numbers between 3 and 22, including 3. there are only positive numbers, as there cannot be suddenly a negative number between 2 positive numbers.

so, YES.

Answer:

1216 inches

Step-by-step explanation:

First you multiply ¼ by 76 times 64

which gives you 1216 inches

Step-by-step explanation:

that means the current value of $117,000 is 100 - 35 = 65% of the original price.

65% = $117,000

1% = 65%/65 = 117000/65 = $1,800

100% = 1%×100 = 1800×100 = $180,000

the original (100%) purchase value was $180,000.

The profits last year were $2041.66

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, then let the profit last year be x then we have 2.4x=4900

                            x=4900/2.4

                            x=2041.66

Hence, The profits last year were $2041.66

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Answer:

542.592

Step-by-step explanation:

3.14 x 8 squared + 3.14 x 8 x 13.6

Answer: B

Step-by-step explanation:

its B

Answer:

Translation

Step-by-step explanation:

It only moved, without changing in size, rotating, or being reflected. so its been translated.

Answer:

  C

Step-by-step explanation:

You want the equations of the circle and ellipse in the given figure.

The standard form equation for an ellipse is ...

  [tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

where 'a' and 'b' are the semi-axes in the x-direction and y-direction, respectively.

You will notice that when a=b=r, the ellipse becomes a circle and the equation can be rewritten as ...

  [tex]\dfrac{x^2}{r^2}+\dfrac{y^2}{r^2}=1\ \Longleftrightarrow\ x^2+y^2=r^2[/tex]

Here, the radius is 3, the same as the semi-major axis in the x-direction (a=3). The ellipse axis in the y-direction appears to be about 1/3 that value, so b=1, and the equations of the circle and ellipse are ...

  [tex]x^2+y^2=9\qquad\text{circle}\\\\\dfrac{x^2}{9}+\dfrac{y^2}{1}=1\qquad\text{ellipse}[/tex]

Answer:

18 feet

Step-by-step explanation:

Perimeter=2(l+b)

80=2(w+w+4)

80=2(2w+4)

80=4w+8

80-8=4w

72/4=w

W=18 feet

Answer:

D. 49

Step-by-step explanation:

Answer:

❝ D. 13 feet ❞

Step-by-step explanation:

Here,

According to the properties of rectangle,

→ Diagonals of a rectangle are equal.

So, here the length of other diagonal will be 13 feet too.

D. 13 Feet

Step-by-step explanation:

Answer:

Simple! She earned $280

Step-by-step explanation:

3500 x 2 x 4 = 28000/100 = 280

In 10yrs operating on the same frequency of rate, she's gonna earn;

3500 x 10 x 4 = 140000/100 = $1,400.

Therefore, $1400 dollars is what she's gonna earn in 10 years time.

The set that would be considered as subset V = {1,3,5} i.e set of odd numbers

A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. A set is a collection of objects or elements, grouped in the curly braces, such as {a,b,c,d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

In the set 1,2,3,4,5 contains odd numbers and even numbers. But there are just 2 even numbers and 3 even numbers.

But the subset V of the numbers above must contain 3 numbers, this means that subset V will contain odd numbers from 1 to 5.

Therefore, This means that subset V = { 1,3,5}

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Answer:

hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

=> y+ x = 3

=> y= 3-x

=> x= y = 1

=>3-x =1

=> x = 2

=> y = 2

(2,2)

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

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Answer:

[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]

Step-by-step explanation:

[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]

Answer:

[tex] 21.5 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region =Area of square with side 10 cm - Area of circle with radius 5 cm

[tex] = {10}^{2} - 3.14 {(5)}^{2} \\ = 100 - 3.14 \times 25 \\ = 100 - 78.5 \\ = 21.5 \: {cm}^{2} [/tex]

Answer:

0.0629 dg

Step-by-step explanation:

A centigram is a dekagram multiplied by 1000, so dividing 62.9 by 1,000 will get us 0.0629 dg.

Answer:

units

Step-by-step explanation:

Answer:

Just units

Step-by-step explanation:

The circumference is neither squared nor cubed, and it has to be labeled.

Answer:

1.75%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

sheeeeesh

Answer:(7.-10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

False, the function f(x)=[tex]-3x^3 + x^2 +2x[/tex] does not rises as x grows very small.

First, we need to know that functions are described as laws, expressions or rules that are used to show the relationship between two variables in an equation.

These variables are known as;

The function f(x) =[tex]-3x^3 + x^2 + 2x[/tex]  does not rise as x grows very small. When x approaches negative infinity, the dominant term is [tex]-3x^3[/tex], which becomes increasingly negative.

Therefore, the function decreases as x grows very small in the negative direction.

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Answer:

1

Step-by-step explanation:

a) The number of possible access codes is 1000.

b) The probability of randomly selecting the correct access code on the first try is 1/1000

c) The  probability of not selecting the correct access code on the first try is 999/1000.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

a) There are 10 digits from 0 to 9.

First digit= 10 ways

Second digit= 10 ways

Third Digit = 10 ways

Then, possible outcomes

= 10 x 10 x 10

= 1000  

b) Exactly 1 out of 1000 codes will be correct

Favorable outcomes= 1

so, probability of randomly selecting the correct access code on the first try

= 1/1000

c) The probability of not selecting the correct access code on the first try.

=1- 1/1000

= 999/1000

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Answer:

[tex] \sqrt[4]{16} [/tex]

Answer:

C, neither.

I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C

Hope this helped :)

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

7

Step-by-step explanation:

A coefficient is the front number. A term is separated by the operators such as +, -, etc.

Part A

g(x) = 9.25x

g(8) = 9.25*8

g(8) = 74

He would make $74 before taxes if he worked 8 hours.

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

Part B

g(x) = 9.25x

g(14) = 9.25*14

g(14) = 129.50

He would make $129.50 before taxes if he worked 14 hours.

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

Part C

g(x) = 9.25x

g(27.5) = 9.25*27.5

g(27.5) = 254.375

g(27.5) = 254.38

He would make $254.38 before taxes if he worked 27.5 hours.

Answer:

Solution below.

Step-by-step explanation:

This question is basically asking you to substitute corresponding x values to find g(x).

Given the function from the question:

g(x) = 9.25x where x is the work hours and g(x) is the wages.

Given x = 8,

g(8) = 9.25 * 8 = $74.00

Given x = 14,

g(14) = 9.25 * 14 = $129.50

Given x = 27.5,

g(27.5) = 9.25 * 27.5 = $254.38 (rounded off to nearest cent)

Answer: 1/5 with an exponent of 5.

hope this helps :)