Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)
Answer:
Step-by-step explanation:
I think we need to define domain and range first.
Domain is the set of all x values where the function f(x) exists or is defined.
Range is the set of all y values that will result from substituting all x values (the domain) into the function.
So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.
So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.
The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.
The domain as an inequality would be -∞ < x < ∞
The range as an inequality would be -∞ < y < ∞
As a set notation:
Domain {x | -∞ < x < ∞}
Range {y | -∞ < x < ∞}
In interval notation:
Domain (-∞ , ∞)
Range (-∞ , ∞)
End behavior:
As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of on and to a whole 100m. Please help.
round it to a whole number of 100 m witch i think would be 15700 m
also i dint realize it said round it to a whole number and to 100 m so it would also be a whole number of 16000 i think if not this than 20000
If T is the midpoint of SU, what are ST, TU, and SU.
*Question 16*
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32
x = 16
ST = 5x = 80
So TU = 80 and SU=160
Answer: Second choice
What is an equation of the line in point-slope form?
(3.8) and (7,5)
Tessa works for the park service in her town. She paid $21 for 3/4ton of wood chips to cover flower beds in the park. She want to know the cost of the wood chips on dollars per ton. What is the price per ton?
Answer:28
Step-by-step explanation:
The cost of the wood chips on dollars per ton is $28.
Given that, Tessa paid $21 for 3/4 ton of wood chips to cover flower beds in the park.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Let the cost of the wood chips on dollars per ton be x.
Now, the cost of the wood chips on dollars per ton = Cost of 3/4 ton of wood chips to cover flower beds in the park ÷ 3/4
x = 21 ÷ 3/4
= 21 × 4/3
= 28
Therefore, the cost of the wood chips on dollars per ton is $28.
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how much does it cost to buy 10 computer mice that cost 24.75 apiece?
How much does it cost to buy 10 computer mice (not the living thing :) ) that are $24.75 each.
10(24.75)=247.5
It will cost $247.5
It would be $247.50
Step-by-step explanation:
24.75 x 10
PLEASE SOLVE IF YOU CAN! Use order of operations to solve!! 6x3-^2-3^4x9+4^0
1. Write 58,927 in scientific notation.
Hint: move the decimal 4 places.
2. Write 1,304,000,000 in scientific notation
Hint: move the decimal 9 places.
Answer:
58,927= 5.8927
1,304,000,000= 1.304
The ratio of boys to girls in the sixth grade is 2:3
1)If there are 24 boys, how many girls are there?
2)If there are 80 students, how many are girls?
Answer:
3*16=48 girls (further explination below)
Step-by-step explanation:
80/(2+3)=16, so since 3 in the ratio is for girls, there are 3*16=48 girls.
This is my first time answering :) your welcome
Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob’s checking account?
Answer:
$702.53
Step-by-step explanation:
178.74
36,52+18.92+25.93=81.37
178.74-81.37=97.37
300+100+205.16=605.16
605.16+97.37=702.53
The final balance is 702.53 dollars.
Round 8015.80930968 to the nearest ten.
Answer:
8015.81
Step-by-step explanation:
because 9 is greater than 5, the 0 is increased by 1 and the rest of the numbers on the right had to be removed
B is the midpoint of AC
А
B
If:
AB = 62 – 7 and
BC = 5x - 3
Find AC
Answer:
AC = 110Step-by-step explanation:
B being the midpoint of AC means:
AB = BC = 0.5AC
AB = 0.5AC ⇒ AC = 2AB
AC = 2(62 - 7) = 2×55 = 110
Metric mania
How many shoes would it take to make 1 kilometer
Answer:
Well since my shoe is 8.5 inches, you will take 4 whole shoes to make a meter. Therefore, you will have to take 4,000 shoes to make a kilometer because 1 kilometer=1000. (:
Step-by-step explanation:
PLEASE ANSWER ASAP I GIVE BRAINLIEST
Answer:
.35
Step-by-step explanation:
You just multiply the two fractions together.
Write an
equivalent expression by distributing the
sign outside the parentheses:
-(7v+1.1)
-(7v + 1.1) = -7v - 1.1
The equivalent value of the expression is A = -7v - 1.1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = - ( 7v + 1.1 ) be equation (1)
Multiply by the value -1 throughout the brackets , we get
A = -1 ( 7v ) - ( 1.1 )
On simplifying , we get
A = -7v - 1.1
Hence , the expression is A = -7v - 1.1
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Which list shows the numbers in order from
greatest to least
A. 32.25, 322 32.5, 32
B. 323, 32.25,325, 32
C. 32, 325,32.25, 32
D. 323, 325,324 32.25
Answer:
A
Step-by-step explanation:
Please help!
Connor is 4 years younger than his brother.
Translate the verbal description into an equation. Use the variable c to
represent Connor's age and b to represent his brother's age.
A.c=b-4
B.b=c-4
C.b=4c
D.c=b+4
Answer:
A. c=b-4
Step-by-step explanation:
7y-9=3y+27 y= please help!
Answer:
Y=9
Step-by-step explanation:
Single out the variable, so subtract 3y from both sides.
7y-9-3y=3y+27-3y
4y-9=27
Then move the value to one side, so add 9 to both sides.
4y-9+9=27+9
4y=36
Then divide 36 by 4
4y/4=36/4
y=9
Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .
A. one solution
B. no solution
C. many solutions
Answer:
one-solution
Step-by-step explanation:
I took the test.
Which of the following is supporting evidence of the given statement?
When dividing two numbers, the quotient is always less than the dividend.
A. −3÷(−14)=12
B. 14÷(−3)=−112
C. 3÷14=12
D. −14÷3=−112
Answer:
B
Step-by-step explanation:
killa queen disan no bakuda bites za dusto
The perimeter of a rectangle is 96 feet. The
length is twice the width. What is the length?
Answer:
Step-by-step explanation:
THE LENGTH OF THE RECTANGLE IS SIX LESS THAN TWICE THE WIDTH. FIND THE DIMENSIONS OF THE RECTANGLE. W=18 FOR THE WIDTH. 2*18-6=36-6=30 FOR THE LENGTH. (sorry caps)
1. Draw diagrams illustrating the relationship between the following sets of real numbers: (a) rational and irrational numbers (b) rational numbers and integers (c) irrational numbers and whole numbers (d) integers and whole numbers
Answer:
umm there is no answer u have to make a diagram of the rational and irratinal or the area of numbers its not a letter u have to make a diagram
Step-by-step explanation:
-5x - 2y = 13
-4x + y = 0
Solve by substation
Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
-4x + y = 0
+4x +4x
y=4x
-5x - 2y = 13
+5x +5x
-2y = 5x+13
-2(4x) = 5x+13
-8x=5x+13
-5x -5x
-13x/-13=13/-13
x=-1
Thus:
y=4x
y=4(-1)
y=-4
Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. How much did thier night out cost if the tax rate is 8%?
Answer:
their night cost them $33.21
Step-by-step explanation:
㏒ x = 5-x solve the equation
Answer:
x = 10 ^ 5 - x
Step-by-step explanation:
You need to invest in a graphing calculator my friend.
log10(x)=5-x
10^log10(x) = 10^5-x
x = 10^5-x
The Ratio of cats to dogs is 3:4. if there are 12 cats, how many dogs are there?
1. 6 dogs
2. 20 dogs
3. 16 dogs
4. 12 dogs
Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.
(16 – 5) + (12 – 11)
Answer:
Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.
Step-by-step explanation:
11+1=12
q(x)=4/5x-9 q(x)=3 PLEASE HELP
Answer:
x = 15
Step-by-step explanation:
Put the given information in the equation and solve for the variable.
3 = 4/5x - 9
12 = 4/5x . . . . . . . . . . . . . . add 9 to get the x term by itself
(5/4)(12) = (5/4)(4/5)x . . . . multiply by the inverse of the x coefficient
15 = x
how many times can 26 go into 57
Answer:
2 point something times
Answer:
2 times
I hope this helps!
Maya has a smart phone data plan that cost $50 per month that includes 2GB of data,but will charge an extra $15 per GB over the limit?how much would kaya have to pay in a month where she used ent over by x GB
There are two conditions :
1) If data consumed is less than or equal to 2 GB.
2) if data consumed is more than 2 GB.
Change in 1st condition is constant i.e $50.
Now, charge in 2nd condition is given by :
[tex]C=15x+50[/tex]
So, money she have to pay in a month where she used ent over by x GB is :
[tex]C(x) = \$50\ , \ 0 \leq x \leq 2\\or\\C(x ) = \$\ (50+15x )\ ,\ x \geq 3[/tex]
Hence, this is the required solution.