(-1,5),(0,6),(-1,7),(2,9) what is the domain range and is it a function ?

Answers

Answer 1
(x,y)
domain is input or x
range is output or y


(x,y)
(-1,5)
(0,6)
(-1,7)
(2,9)

the domain is D={-1,0,2}
range is R={5,6,7,9}

it isi a function if no x repeats with a differnt y
we see that we have (-1,5) and (-1,7)
-1 repeats with 5 and 7
it is not a function

Related Questions

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

Answers

it would be 1*4=4  4*5=20 so then you would add 1+20=21
1 lb cran: 4
4 lb alm: 20
24 dollars for 5 lb
24/5 is 4.8
$4.80 per lb

Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle?

68°
78°
88°
98°

Answers

We know the sum of all the angles in a quadilateral is equal to 360. so,
it would be: 360 - (55+117+120)

 = 360 - 292
 = 68 degrees

So, option A is your answer.

Hope this helps!

The measure of the fourth interior angle of the given quadrilateral is: B. 68°

What is the Sum of a Quadrilateral?

The sum of all the interior angles of a quadrilateral equals 360 degrees.

The given interior angles of the quadrilateral are: 55°, 117°, and 120°

The measure of the fourth interior angle = 360 - 55 - 117 - 120

The measure of the fourth interior angle = 68 degrees.

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Use the Laplace transform to solve the given initial value problem. y' + 6y = e^4t ; y(0)=2 ...?

Answers

Final answer:

The Laplace transform method is applied to solve the differential equation y' + 6y = e^4t with the initial condition y(0)=2. After transforming, simplifying, and solving for Y(s), we use inverse Laplace transform to find the solution y(t) in the time domain.

Explanation:

Laplace transform is a powerful tool in the field of mathematics used for solving differential equations. To solve the given initial value problem y' + 6y = e^4t ; y(0)=2, we can start by taking the Laplace transform of both sides of the equation.

The Laplace transform of y' is sY(s) - y(0) and the Laplace transform of y is Y(s). Therefore, the Laplace transform of y' + 6y gives sY(s) - y(0) + 6Y(s). Given that y(0)=2, this simplifies to sY(s) + 6Y(s) - 2.

On the right-hand side, the Laplace transform of e^4t is 1/(s-4). Thus, we have the equation sY(s) + 6Y(s) - 2 = 1/(s-4).

By solving for Y(s), we can find the inverse Laplace transform to get the solution y(t) in the time domain.

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What is 8.24 written as a percent?

Answers

8.24 written as a percent is 824%. All you have to do to create a percentage is move the decimal two places to the right and two places to the left the convert a percentage to a number.
824% i had this problem before can i please have brainiest answer :D

Jim earns $1,600 per month after taxes. He is working on his budget and has the first three categories finished.

Housing $576
Food $272
Transportation $320

Why will he have a problem with the rest of his budget?

He is budgeting too much for transportation.

He has used the highest recommended percentages to calculate the amounts for the three categories.

He is budgeting too much for housing.

He has used the lowest recommended percentages to calculate the amounts for the three categories.

Answers

He has used the lowest recommended percentages to calculate the amounts for the three categories.

When budgeting, it is useful to use percentages slightly higher than the minimum to compensate for uncertainties. 

B.

He has used the highest recommended percentages to calculate the amounts for the three categories.

Let p: The integer has one digit.
Let q: The integer is less than 10.
Which represents "The integer has one digit if and only if the integer is less than 10”?

p ∨ q
p ∧ q
p → q
p ↔ q

Answers

Answer:

p ↔ q

Step-by-step explanation:

Given :

Let p: The integer has one digit.

Let q: The integer is less than 10.

To Find:Which represents "The integer has one digit if and only if the integer is less than 10”?

Solution:

1. p ∧ q denotes “p and q”

2.p ∨ q denotes “p or q" (or both)

3.p → q denotes “if p then q”

4. Biconditional p ↔ q denotes “p if and only if q"

Thus Biconditional p ↔ q represents "The integer has one digit if and only if the integer is less than 10”

Hence Option D is correct p ↔ q

Find the lim [(ln(x+5) - ln5) / x ] as x approaches 0
...?

Answers

Use [tex]\lim_{x \to 0}\frac{ \ln{( 1+x )}}{x}=1 [/tex]

[tex] \lim_{x \to 0}\frac{\ln(x+5) - \ln5}{x} \\ \\ \lim_{x \to 0}\frac{ \ln{ \frac{x+5}{5} }}{x} \\ \\ \lim_{x \to 0}\frac{ \ln{( 1+\frac{x}{5} )}}{x} \\ \\ \lim_{x \to 0}\frac{ \ln{( 1+\frac{x}{5} )}}{\frac{x}{5}\times 5} \\ \\ \frac{1}{5} \lim_{x \to 0}\frac{ \ln{( 1+\frac{x}{5} )}}{\frac{x}{5}} \\ \\ \frac{1}{5} \times 1 \\ \\\frac{1}{5}[/tex]
Final answer:

To find the limit of the given expression [(ln(x+5) - ln5) / x ] as x approaches 0, we can apply L'Hospital's Rule.

Explanation:

To find the limit of the given expression, we can use L'Hospital's Rule. Let's first rewrite the expression:

[ln(x+5) - ln(5)] / x

As x approaches 0, when plugging in 0, we get an indeterminate form of 0/0. So, we can apply L'Hospital's Rule:

lim [(ln(x+5) - ln5) / x ] as x approaches 0 = lim [(1/(x+5)) / 1]

= lim (1 / (x+5)) as x approaches 0

Since x approaches 0, the expression approaches 1 / (0+5) = 1/5.

How many meters are equivalent to 375 centimeters

Answers

We Know, 1 cm = 1/100 m
Then, 375 cm = 375/100 m = 3.75 m

So, your final answer is 3.75 m

Hope this helps!

The matrix C=[1,-2_-3,7] was used to encode a phrase to [7,-28,-25,-35,-2_-21,107,90,123,17]. Find C^-1 and use it to decode the matrix.

Answers

[tex]C= \left[\begin{array}{cc}1&-2\\-3&7\end{array}\right] \\ C^{-1}= \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \\ \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \times \left[\begin{array}{ccccc}7&-28&-25&-35&-2\\-21&107&90&123&17\end{array}\right] \\ =\left[\begin{array}{ccccc}49-42&-196+214&-175+180&-245+246&-14+34\\21-21&-84+107&-75+90&-105+123&-6+17\end{array}\right] \\ =\left[\begin{array}{ccccc}7&18&5&1&20\\0&23&15&18&11\end{array}\right] [/tex]
is the required matrix.

What is 20 + 10? (Nobody answer this)

Answers

30. 30 is the answer to this question.












1 way to solve this is:
Remove the zeros and add normally. Then add 1 zero next to the answer.
Another way: 
Add 20+10.

Answer: 30

Select the graph of the solution. Click until the correct graph appears.
x ≥ 4

Answers

Answer:

The answer is the option B

see the attached figure

Step-by-step explanation:

we have

[tex]x\geq4[/tex]

The solution is the interval ------> [4,∞)

All real numbers greater than or equal to [tex]4[/tex]

therefore

the answer  in the attached figure

What is the slope of the line? y = 3x + 9



A. 9


B. 3


C. 12


D. 6

Answers

The slope of the line is 3
y=mx+b
m=slope
y=3x+9
slope=3

answer is 3, B

What is the value of x in the diagram?

(Diagram in the following post)

A. 1/2
B. 4/21
C. 2
D. 4

Answers

Answer:

The answer is 2 so C

Step-by-step explanation:


The correct answer is D. 4, The value of x is 4.

To find the value of [tex]\( x \)[/tex] in the diagram, we need to apply the properties of similar triangles. Assuming the diagram shows two similar triangles with corresponding sides labeled, we can set up a proportion between the sides of the similar triangles.

Let's denote the sides of the smaller triangle as [tex]\( a \), \( b \), and \( c \)[/tex], and the corresponding sides of the larger triangle as [tex]\( ka \), \( kb \), and \( kc \),[/tex] where [tex]\( k \)[/tex] is the scale factor between the two similar triangles.

Given that one side of the larger triangle is 4 times the corresponding side of the smaller triangle, we have [tex]\( k = 4 \)[/tex].

Now, if we let [tex]\( a = 21 \)[/tex] (as per the options given), then the corresponding side of the larger triangle is [tex]\( ka = 4 \times 21 = 84 \).[/tex]

The problem states that the side labeled [tex]\( x \)[/tex] in the larger triangle corresponds to the side labeled [tex]\( 1 \)[/tex] in the smaller triangle. Therefore, we have the proportion:

[tex]\[ \frac{x}{ka} = \frac{1}{a} \][/tex]

Substituting the known values, we get:

[tex]\[ \frac{x}{84} = \frac{1}{21} \][/tex]

To solve for [tex]\( x \)[/tex], we cross-multiply:

[tex]\[ x \times 21 = 84 \times 1 \][/tex]

[tex]\[ 21x = 84 \][/tex]

Now, we divide both sides by 21 to isolate [tex]\( x \)[/tex]:

[tex]\[ x = \frac{84}{21} \][/tex]

[tex]\[ x = 4 \][/tex]

170 percent converted to a fraction equals: ...?

Answers

After finding the simplest form by dividing 100 the fraction equivalent to 170 percent we get 17/10.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.

Here we have to convert:

170 percent into a fraction

Divide it by 100 to condert into fractions,

170/100

Divide both the numerator and denominator by 10

17/10

Since 17 and 10 are co-primes,

Therefore, it is in simplest form.

Hene,

The fraction 17/10 is equivalent to 170%.

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What is the middle term of the product of (5a - 7)(2a - 1)?



-4a
-19a
-24a

Answers

I hope this helps you
(5a - 7)(2a - 1)
= 10a² - 14a - 5a + 7
= 10a² - 19a + 7

Middle term = -19a

wholesale price $3.50 per item and is sold at a retail value of $5.00 what is the gross percentage of the item?

Answers

I'm not completely sure, but i think 30%. $1.50 margin divided by $5 price ?

what is the purpose of a questionnaire

Answers

to understand experiences 

Answer:

It enables you to explore and know more

Step-by-step explanation:

Purpose Of Questionnaire

The main purpose of a questionnaire is to extract data from the respondents. It's a relatively inexpensive, quick, and efficient way of collecting large amount data even when the researcher isn't present to collect those responses first hand

1735/1000 is what in decimal form

Answers

To write 1735/1000 as a decimal you have to divide numerator by the denominator of the fraction. 
We divide now 1735 by 1000 what we write down as 1735/1000 and we get 1.735 1735/1000 as a decimal equals 1.735

Write the number 7/10 as a decimal and describe the process

Answers

The decimal is 0.7
We got the answer by doing
7 divide 10

I hope this helps you :)

Which values of m and b will create a system of equations with no solution? Check all that apply.

y = mx + b

y = –2x + 3/2


[ ] m = –3 and b = -2/3
[ ] m = –2 and b = -1/3
[ ] m = 2 and b = -2/3
[ ] m = –3/2 and b = -2/3
[ ] m = –2 and b = -2/3
[ ] m = 3 and b = -2/3

Answers

2 equations of lines will have no solution if they have same coefficient m but different coefficient b. If they would have same coeficient b they would logicaly be "on on another"

After knowing this we can see that second and fifth option have m=-2 and they also have different coeficients. which means they are the answer

Answer is second and fifth option.

Answer: Answer is second and fifth option.



Step-by-step explanation:  

m = –2 and b =

m = –2 and b =  




Suppose that alpha and beta are int variables. The statement alpha = beta--; is equivalent to the statement(s) ____.
a. alpha = 1 - beta;
b. alpha = beta - 1;
c. beta = beta - 1;
alpha = beta;
d. alpha = beta;
beta = beta - 1

Answers

d. The unary postfix decrement operator, when used in an expression, decrements the value of its operand but has the old value of the operand.

60% of what number is 13.5?

Answers

You do 13.5 ÷ 6 which is 2.25, and then you multiply by 10 to get 22.5. Hope this helps! Let me know if you have any questions :)

The required, 60 percent of 22.5 is equal to 13.5, as of the given condition.

What is percentage?

The percentage is a way of expressing a fraction or a decimal number as a portion of 100. It is denoted by the symbol '%'. For example, the percentage of 0.75 can be calculated as 0.75 x 100% = 75%. In other words, we are expressing 0.75 as a fraction of 100.

Here,
To find out what number 60% of is equal to 13.5, we can use algebra. Let x be the number we are looking for. Then we can write:

60% of x = 13.5

We can convert 60% to a decimal by dividing by 100:

0.6x = 13.5

Finally, we can solve for x by dividing both sides of the equation by 0.6:

x = 13.5 ÷ 0.6

x = 22.5

Therefore, 60% of 22.5 is equal to 13.5.

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The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground?

Answers

The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground? 

Answer: In order to find the stone’s velocity just before it strikes the ground we will use one of the free fall equations. V = √(2gh). We already have the values needed which are the gravity (9.8 m/s2) and our total height (318 meters). All you have to do is solve for V. You should get 78.95 m/s. 

What is the solution set of the following equation?

4/5x^2=2x-4/5

1. {1, 2}
2. {1, 1/2}
3. {2, 1\2}

Answers

multiply both sides by 5
4x^2=10x-4
divide both sides by 2
2x^2=5x-2
minus 5x from both sides and add 2 to both sides
2x^2-5x+2=0
use quadratic formula
for
ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]

given
2x^2-5x+2=0
a=2
b=-5
c=2
x=[tex] \frac{-(-5)+/- \sqrt{(-5)^2-4(2)(2)} }{2(2)} [/tex]
x=[tex] \frac{5+/- \sqrt{25-16} }{4} [/tex]
x=[tex] \frac{5+/- \sqrt{9} }{4} [/tex]
x=[tex] \frac{5+/- 3}{4} [/tex]
x=(5+3)/4 or (5-3)/4
x=8/4 or 2/4
x=2 or 1/2

3rd option is correct

Answer:

{2, 1\2}

Explanation:

Which of the following is not a combination?

The number of ways a President and Vice President can be chosen from a group of 10 people.
The number of 2 person subcommittees that can be chosen from a 10 person committee.
The number of 2 person teams that can be picked form 10 people.

Answers

The answer is the number of ways a President and Vice President can be chosen from a group of 10 people.

When you're picking people for specific roles, the order in which people are picked matters. That is a permutations situation, not combinations.

For the others, they're situations that can be modeled with combinations since order does not matter. All that matters when you make a subcommittee or a duo-team is who's in it.

When there is the no of ways where the president and the vice president should be selected from the grouping of 10 people does not represent the combination.

The following information should be considered:

In the case when the people are picked out for particular role so here the order should be matter. It should be the situation of permutation, not the combination situation. Based on this, the last 2 options are considered to be the combination

Therefore we can conclude that when there is the no of ways where the president and the vice president should be selected from the grouping of 10 people does not represent the combination.

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Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply.
A. y = -4cos x + 2
B. y = 4sin(x +π/2 ) - 2
C. y = 4sin(x - π/2) - 2
D. y = 4cos(-x) - 2 ...?

Answers

Out of the given options, B (y = 4sin(x +ext{ extpi}/2 ) - 2) and D (y = 4cos(-x) - 2) are equivalent to the function y = 4cos x - 2, due to trigonometric identities and properties.

To determine which of the given options are equivalent to the function y = 4cos x - 2, we need to look at trigonometric identities and properties of cosine and sine functions.

Option A: y = -4cos x + 2 is not equivalent since it represents a reflection in the x-axis followed by a vertical shift, which alters the original function's graph completely.Option B: y = 4sin(x +rac{ext{extpi}}{2}) - 2 is equivalent because of the co-function identity sin(x +  rac{ext{ extpi}}{2}) = cos x, which makes the functions identical.Option C: y = 4sin(x -  rac{ext{extpi}}{2}) - 2 is not equivalent because sin(x -  rac{ext{extpi}}{2}) is not equal to cos x.Option D: y = 4cos(-x) - 2 is equivalent due to the even property of the cosine function, which states that cos(-x) = cos x.

write an explicit formula for sequence
The Given Sequence is..
3,-6,12,-24..

Answers

3.(-2)=-6
(-6).(-2)=12
12.(-2)=-24
.
.
.
q=-2
---------------
a(n)=a(1).q^(n-1)
a(n)=3.(-2)^(n-1)

The sum of three consecutive even integers is 66. Which equation represents the scenario?

Answers

2,4,6

consecutive even integers are 2 apart
they are x,x+2, and x+4

sum is 66
x+x+2+x+6=66
that is the equation
the answer is x=20, so the numbers are 20,22,24 if you were interested

The correct option is:

d. x + (x+2) + (x+4) = 66

The scenario involves three consecutive even integers. Let's denote the first even integer as x, the second one as x+2 (since it is the next consecutive even integer), and the third one as x+4 (as it is two more than the second one).

The sum of these three consecutive even integers is given to be 66. Therefore, the equation that represents this scenario is:

x + (x+2) + (x+4) = 66

So, the correct option is:

d. x + (x+2) + (x+4) = 66

The probable question may be:

The sum of three consecutive even integers is 66. Which equation represents the scenario?

a. x=66

b. x+(x+1)+(x+2)=66

c. x+x+x=66

d. x+(x+2)+(x+4)=66

a cinder block is sitting on a platform 20 high. lt weighs 79n. The block has_____ energy. calculate it.

Answers

A cinder block is sitting on a platform 20 m high. It weighs 79 N. The block has Gravitational Potential Energy.

Calculations:
Ep = mgh = mg = Fg
Ep = (Fg)(h)
Ep = (79N)(20 m)
Ep = 1580 J.

I believe the block's potential energy with respect to gravity is 1580 J.

The graph of the function f(x) = (x – 4)(x + 1) is shown below. Which statement about the function is true? The function is increasing for all real values of x where x < 0. The function is increasing for all real values of x where x < –1 and where x > 4. The function is decreasing for all real values of x where –1 < x < 4. The function is decreasing for all real values of x where x < 1.5.

Answers

we have

[tex]f(x)=(x-4)(x+1)[/tex]

using a graph tool  

see the attached figure

we know that

The function is increasing for all real values of x where [tex]x > 1.5[/tex]

and

The function is decreasing for all real values of x where [tex]x < 1.5[/tex]

therefore

Statements

case a) The function is increasing for all real values of x where x < 0

The statement is false

case b) The function is increasing for all real values of x where x < –1 and where x > 4

The statement is false

case c) The function is decreasing for all real values of x where –1 < x < 4

The statement is false

case d) The function is decreasing for all real values of x where x < 1.5

The statement is true

Answer:

The correct option is:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

We are given a function f(x) which is a product of two linear polynomial as:

[tex]f(x)=(x-4)(x+1)[/tex]

Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.

So, the function f(x) will be represented as:

[tex]f(x)=x(x+1)-4(x+1)\\\\f(x)=x^2+x-4x-4\\\\f(x)=x^2-3x-4[/tex]

So, we will plot the graph of the function and check which statements about the function hold true.

1)

The function is increasing for all real values of x where x < 0.

This statement is false.

Since we get from the graph that function f(x) is decreasing for x<0.

2)

The function is increasing for all real values of x where x < –1 and where x > 4.

This option is incorrect as the function is decreasing for x<-1

whereas it is increasing for x>4.

3)

The function is decreasing for all real values of x where –1 < x < 4.

This option is incorrect.

Since, the function is both decreasing as well as increasing in the interval (-1,4).

4)

The function is decreasing for all real values of x where x < 1.5.

This option is correct.

Since it could be observed from the graph that the function is decreasing for x<1.5.

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