can someone help me state domain and range

Can Someone Help Me State Domain And Range

Answers

Answer 1

Answer:

The domain and range is (as inequalities):

[tex]x\leq 3\text{ and } -\infty < y < \infty[/tex]

Or in interval notation:

[tex]D=(-\infty, 3]\text{ and } R=(-\infty, \infty)[/tex]

Step-by-step explanation:

Recall that the domain is simply the set of all x-values of the function.

From the graph, we can see that the function is defined for all x-values less than or equal to 3.

Therefore, the domain is:

[tex]x\leq 3[/tex]

The range is the set of all y-values of the function.

From the graph, we can see that the range will extend infinitely in both directions.

Therefore, the range is all real numbers. As an inequality:

[tex]-\infty < y < \infty[/tex]

Or in interval notation, the domain is:

[tex](-\infty, 3][/tex]

And the range is:

[tex](-\infty, \infty)[/tex]


Related Questions

Which fraction is the largest? 7/9 3/4 1/2 2/3

Answers

Rewrite the fractions as decimals by dividing:

7/8 = 0.7777

3/4 = 0.75

1/2 = 0.5

2/3 = 0.666

0.777 is the largest number so 7/9 is the largest fraction.

Answer: 7/9

Answer:

2/3

Step-by-step explanation:

L.C.M:36

7/9:28/36

3/4:27/36

1/2:1836

2/3:36/36

FOR EASY BRAINLIEST ANSWER QUESTION BELOW!

1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition

Answers

Answer:

56

Step-by-step explanation:

The equation of a line is 2(y + 1) = 10x + 3.
The y-intercept of the line is
, and the slope of the line is

Answers

Answer:

y intercept is (0,-0.5) and the slope is 5.

Step-by-step explanation:

Let's rewrite the equation in slope intercept form.

Step 1: divide both sides by two:

[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]

Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]

Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]

[tex]y=\frac{10x+3}{2}-1[/tex]

[tex]y = 5x - \frac{1}{2}[/tex]

Find the slope of the line that passes through (9, 6) and (5, 5).

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)

m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

Calculate the average rate of change of a function over a specified interval. Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?

Answers

Given:

The interval is [2,9].

To find:

The average rate of change in f(x) over the interval [2,9].

Solution:

The average rate of change in f(x) over the interval [a,b] is defined as:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

In the interval [2,9], the value of a is 2 and the value of b is 9.

Using the above formula, the average rate of change in f(x) over the interval [2,9] is:

[tex]m=\dfrac{f(9)-f(2)}{9-2}[/tex]

[tex]m=\dfrac{f(9)-f(2)}{7}[/tex]

Therefore, the required expression for the average rate of change in f(x) over the interval [2,9] is [tex]\dfrac{f(9)-f(2)}{9-2}[/tex], it is also written is [tex]\dfrac{f(9)-f(2)}{7}[/tex].

Answer:

D

Step-by-step explanation:

right on edge

The 20th term of an arithmetic progression 1,5,9,13......​

Answers

Answer:

a₂₀ = 77

Step-by-step explanation:

There is a common difference between consecutive terms , that is

5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 4 , then

a₂₀ = 1 + (19 × 4) = 1 + 76 = 77

solve (algebra 1)− 0.32 + 0.18 = 0.25 − 1.95

Answers

Answer:

0.50=1.7. They do not equal each other

Step-by-step explanation:

Thats what I got from this question

When two parallel lines are cut by a transversal then the interior angles on the same side of the transversal are

Answers

Answer:

Same side interior angles

Step-by-step explanation:

Same side interior angles are interior angles and on the same side. Sorry don't know how to better explain.

A cylinder has a volume of 245x cubic units and a helght of 5 units. The diameter of the cylinder is
7 units
14 units
49 units

Answers

Answer:

Diameter = 14 units

Step-by-step explanation:

Volume ofa cylinder = πr²h

Volume of the cylinder = 245π cubic units

Height = 5 units

Volume of a cylinder = πr²h

245π = π × r² × 5

245π = 5r²π

Divide both sides by π

245π / π = 5r²π / π

245 = 5r²

r² = 245/5

= 49

r² = 49

r = √49

r = 7 units

Diameter = 2 × radius

= 2 × 7 units

= 14 units

Diameter = 14 units

(c) 0.34 L = _________________ ml ​

Answers

Answer:

340 ml

Step-by-step explanation:

help pls!!

The functionſ is defined by f(x) = x(x + 3). If f(a) = 40 and a > 0, what is the value of a ?
A) 3
B) 5
C) 7
D) 8

Answers

Answer:

B) 5

Step-by-step explanation:

We are given the function:

[tex]f(x)=x(x+3)[/tex]

We are given that f(a) = 40 and a > 0 and we want to determine the value of a.

Substitute:

[tex]f(a)=40=a(a+3)[/tex]

Distribute:

[tex]a^2+3a=40[/tex]

Subtract 40 from both sides:

[tex]a^2+3a-40=0[/tex]

We can factor using 8 and -5. Hence:

[tex](a+8)(a-5)=0[/tex]

By the Zero Product Property:

[tex]a+8=0\text{ or } a-5=0[/tex]

Solve for each case:

[tex]\displaystyle a=-8\text{ or } a=5[/tex]

Since a > 0, we can eliminate the first solution. Hence:

[tex]a=5[/tex]

Our answer is B.

álgebra 1 solve -2 + 11(17y + 15)

Answers

Answer:   187y + 163

Work Shown:

-2 + 11(17y + 15)

-2 + 11(17y) + 11(15) .... distributive property

-2 + 187y + 165

187y + (-2+165)

187y + 163

Triangle Angle-Sum Theorem

Answers

Answer:

answer is C , 123

Step-by-step explanation:

angle 1 = sum of the interior opposite Angles

1 = 60 + 63

1 = 123

What percentage of temperatures are below 55°? A. 50% B. 25% C. 75% D. 20%

Answers

Step-by-step explanation:

C

im not sure of my answer. hope to help

I think d because others one

nth term of an AP is given by an expression 7n-2,find the common difference of this sequence if fisrt term of sequence is 1? a.2 b.-2 c-7 d7​

Answers

Step-by-step explanation:

there is something wrong with what your write here as problem description.

either there is something missing in the main expression, or in the answer options.

given your nth-term expression 7n-2, none of the 4 answer options can fit.

so, I thought, maybe there was a typo.

the possible interpretations of the expression could be

7n - 2

7(n-2)

[tex] {7}^{n} - 2[/tex]

[tex] {7}^{n - 2} [/tex]

we know that

a1 = 1

a2 = either

a1 + 2 = 3

a1 - 2 = -1

a1 + 7 = 8

a1 - 7 = -6

so, we can eliminate both negative answer options, because they would cause only negative sequence elements, but the main expression (neither of the 4 possibilities) does not allow that.

but also none of the 4 possibilities of the expression delivers any of the 4 values for a2 as described above.

7×2 - 2 = 14 - 2 = 12

7(2-2) = 7×0 = 0

7² - 2 = 49 - 2 = 47

[tex] {7}^{2 - 2} = {7}^{0} = 1[/tex]

similar not for a3.

so, if I consider your answer options right, we have 4 possible arithmetic sequences:

1. 1, 3, 5, 7, 9, 11, 13, 15, ...

2. 1, -1, -3, -5, -7, -9, -11, -13, ...

3. 1, 8, 15, 22, 29, 36, 43, 50, ...

4. 1, -6, -13, -20, -27, -34, -41, ...

the nth term expression is for

a. an = 2n - 1

b. an = 2×(-n) + 3 = 2×(-n + 1) + 1

c. an = 7n - 6

d. an = 7×(-n) + 8 = 7×(-n + 1) + 1

so, please pick the right expression from this list, and then use the answer option with the same letter.

The question is in the photo

Answers

Answer:

Step-by-step explanation:

This is a right triangle because angle V is 90. Draw out a right triangle and put V at the 90 degree angle. It doesn't matter where you put U or T; you get the same cos value for T regardless of how you place your other 2 angles. The things you need to know are that UT is the hypotenuse of the triangle, side VU is across from angle T, and side TV is across from angle U.

The cos ratio is side adjacent to the reference angle over the hypotenuse.

Our reference angle is T, so we are looking for the side next to T that is NOT the hypotenuse. This side measures 33; the hypotenuse measures 65, so the tangent ratio of T is

[tex]tanT=\frac{33}{65}[/tex]

If f(x)=3x^(2)+1 and G(x)=2x-3 what would f(f(x))

Answers

Answer:

f(f(x)) = 27[tex]x^{4}[/tex] + 18x² + 4

Step-by-step explanation:

To find f(f(x)) substitute x = f(x) into f(x) , that is

f(3x² + 1)

= 3(3x² + 1)² + 1 ← expand parenthesis using FOIL

= 3(9[tex]x^{4}[/tex] + 6x² + 1) + 1 ← distribute parenthesis by 3

= 27[tex]x^{4}[/tex] + 18x² + 3 + 1 ← collect like terms

= 27[tex]x^{4}[/tex] + 18x² + 4

Hello,

[tex](fof)(x)=f(f(x))\\\\=3(3x^2+1)^2+1\\\\=3(9x^4+6x^2+1)+1\\\\\boxed{=27x^4+18x^2+4}[/tex]

a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of the obtuse angle?

Answers

Step-by-step explanation:

1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.

2.Clearly it forms a triangle in the parallelogram with three known lengths of side.

3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.

9514 1404 393

Answer:

  114.8°

Step-by-step explanation:

The angles can be found using the Law of Cosines. It tells you ...

  c² = a² +b² -2ab·cos(C)

Then angle C can be found to be ...

  C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))

  C = arccos(-419/1000) ≈ 114.77°

The measure of the obtuse angle is about 114.8°.

EXERCISE NA Amarutactures 1200 scooters in 18 days. How many scooters does mane in 1 day​

Answers

Answer:

66

Step-by-step explanation:

he uses 66 in one day

7x-49=y

Solve for x?

Answers

7x - 49 = y
Add 49 to both sides
7x = y + 49
Diving both sides by 7
x =(y + 49)/7

The solution for x is x = (y + 49)/7.

Given that an equation 7x - 49 = y, we need to determine the equation in for of x,

To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 7x - 49 = y.

Add 49 to both sides of the equation to isolate the term with x:

7x = y + 49.

Divide both sides of the equation by 7 to solve for x:

(7x)/7 = (y + 49)/7.

Simplify:

x = (y + 49)/7.

Therefore, the solution for x is x = (y + 49)/7.

Learn more about equation click;

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Find the missing angle in the image below. Do not include spaces in your answers ** Can somebody help me fr everybody keep giving me the wrong answer

Answers

Answer:

measure of angle V + measure angle W = VUF

Answer:

∠ VUF = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ VUF is an exterior angle of the triangle, then

∠ VUF = 71° + 23° = 94°

People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?

Answers

Step-by-step explanation:

dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd

Answer:

290 foils

Step-by-step explanation:

145,000÷500=290

use the substitution method to solve the system of equations

3x+2y=13

y=x-1

Answers

Answer:

[tex]x=3\\y=2[/tex]

Step-by-step explanation:

[tex]3x+2y=13\\y=x-1[/tex]

Solve for [tex]y=x-1[/tex] for y:

[tex]y=x-1[/tex]

Substitute [tex]x-1[/tex] for y in [tex]3x+2y=13[/tex]:

[tex]3x+2y=13[/tex]

[tex]3x+2(x-1)=13\\[/tex]

[tex]5x-2=13[/tex]

[tex]5x=13+2[/tex]

[tex]5x=15[/tex]

[tex]x=15/5[/tex]

[tex]x=3[/tex]

Substitute 3 for x in [tex]y=x-1[/tex]:

[tex]y=x-1[/tex]

[tex]y=(3)-1[/tex]

[tex]y=2[/tex]

[tex]x=3[/tex] and [tex]y=2[/tex]

hope this helps...

A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?

Answers

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

Find the intersection point between the lines of equations:

2x-y+6=0 and 2x+3y-6=0 ​

Answers

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]

On subtracting the given equations we have,

[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]

Put this value in any equation , we have ,

[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]

Hence the lines will Intersect at ,

[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]

for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x =  − 3 /2  y+ 3  and y= − 2 /3  x + 2

how i did this Step 1: Add -3y to both sides.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

Can someone help me with this math homework please!

Answers

Answer:

the correct options are 1, 2, 5, and 6th

1. and 2.

all functions have a dependant variable y and independent variable x, and the set of dependant variables is called its range whereas the set of independent variables is called its domain.

5. and 6.

In a horizontal line 1 input associates itself with exactly one ouput, even tho the output is constant (same) for all values of x, and that's the property of a function

Answer:

all functions have dependent variables

all functions have an independent variable

a horizontal line Is an example of a functional relationship

write a equation for y=|x| if the graph is translated right by 3 units and down by 1 unit

Answers

Answer:

y=|x -3| -1

Step-by-step explanation:

please say me the answer fast with step by step process​

Answers

Yes I’m sorry but I’m sorry I’m texting back to my sister in

Which segment is adjacent to∠N?

Answers

Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

More about the triangle link is given below.

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Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.



How long will it take Ted and Jacob to clear the field together?

Answers

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's use the formula for the work rate:

Ted's work rate = 1/3 of the field per hour

Jacob's work rate = 1/2 of the field per hour

Together, their work rate.

= (1/3 + 1/2) of the field per hour

Now,

We can simplify the equation for the combined work rate by finding a common denominator:

(1/3 + 1/2)

= (2/6 + 3/6)

= 5/6 of the field per hour

Now we can use the formula for the work rate to solve the time it would take them to clear the field together:

(5/6)t = 1

(where t is the time in hours)

Solving for t:

(5/6)t = 1

t = 6/5

Therefore,

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

Learn more about equations here:

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