Answer:
By the end of this resource, you will be able to identify domain and range from any given contextual situation.
Determining the domain and range from a linear or quadratic contextual situation is similar to determining the independent and dependent variables.
Step-by-step explanation:
Suppose you are interviewing for a job. Your employer offers you the choice of two different options for your pay. The first option is to pay you $10.00 per hour and give you a raise of $.50 per hour at the end of the year. The second option is to pay you $11.50 per hour and give you a raise of $.25 per hour at the end of the year.
First, find a function for each option. To do that, you have to know what the domain and range might be. Let y = the amount you will make at the end of the year and x = the number of hours you work. Thinking about what would be reasonable values for x and y will help determine the domain and range.
First, let's think about the domain. Since x represents the numbers of hours you worked for the year, would it be reasonable to have negative values? If you said NO, you would be correct. We can assume the lowest possible value in the domain would equal zero. So, our domain would be {x| x ≥ 0}.
Now, let’s think about the range. Since y represents your earnings at the end of the year, would it be reasonable to have negative values? If you said NO again, you would be correct. You cannot earn a negative amount. We can assume the lowest possible value in the range would also equal zero. So, our range would be {y | y ≥ 0}. You should be able to relate with this situation since you may have to make a decision in comparing two or more job offers in your future.
It's important to realize that every situation is different and you must think about what is reasonable.
bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil
PLS HELP QUICK
Write an
equivalent expression (simplify): 14h + 12 - 8h - 3
Answer:
22h - 9
Step-by-step explanation:
14h + 12 - 8h - 3
14h + 8h + 12 - 3
22h + 12 - 3
22h + 9
Can you guys pls Help me on this
9514 1404 393
Answer:
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
Step-by-step explanation:
Recognize the following English translations:
"no more than" means "less than or equal to" (≤)
"at least" means "greater than or equal to" (≥)
With these translations and the ones shown in your figure, you have ...
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
15. Enter the missing digit to complete the subtraction statement
2 5 4, 8 1 7
- 1 3 _, 1 2 5
__________
1 1 8, 6 9 2
Emily bought 412 appetizers and she invited 22 people to his party. Use
compatible numbers to estimate the number of appetizers each guest can
have.
OA) 10
OB) 15
OC) 20
OD 25
what is the value of x ? A. 4
B. 8
C. 12
D. 16
Answer:
16 or 12 but I would go with 12
because 16 just kinda flipped me off a little
Step-by-step explanation:
What is the value of each expression 12 x 1/8 in simplest form?
Answer:
1 1/2
Step-by-step explanation:
12 x 1/8 =
12/1 x 1/8 =
12/8 =
3/2 =
1 1/2 (1.5)
*At Step #3, 4 goes into both numbers to get 3/2. But, The simplest form is 1 1/2 (1.5)
PLS I NEED HELP!!!! If the base of a rectangle is 9 cm and the area is 112.3 cm2, what is the height of the rectangle? Round your answer to the nearest tenth.
Answer:
12.5
Step-by-step explanation:
112.3 / 9 = 12.47777......
q(x)= 1/2x - 3; q(x) =-4. Find the value of x
Answer:
[tex]q(x) =-5[/tex]
Step-by-step explanation:
I am solving this using Function Notation.
We are given:
[tex]q(x)= \frac{1}{2}x - 3[/tex]
While we are to find:
[tex]q(x) =-4[/tex]
In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.
So, in this case,
[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]
Would become
[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]
Now we can solve.
[tex]\frac{1}{2}(-4) - 3[/tex]
Use PEMDAS; Parenthesis first;
[tex]\frac{1}{2}(-\frac{4}{1})[/tex]
Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with
[tex](-2) - 3[/tex]
[tex]-5[/tex]
Therefore, the value of x is -5
36 is 70% of what number
Rewrite 2/9 + 5/12 with a common denominator
A square with 20 meters shown as 12 centimeters, how long would a girder appear 15 meters long?
9.6 centimeters
EXPLANATION
20 meters = 12 centimeters
15 meters = x
20 meters/12 centimeters = 15 meters/x
20 meters/0,12 meters = 16 meters/x
1666.66 = 16 meters/x
x = 16 meters : 1666.66
x = 0.096 meters
x = 9.6 centimeters
#LearnWithEXO
.........................
Step-by-step explanation:
→ (1.2*(10^57)) + 1.2*(10^56) → 1.32e+57→ 1.32 × 10^57 1.(drag) → 1.32 and 2. (drag) → 57» 1.32e+57
00.8 is 10 times greater as
z – yx + x; use x = 2, y=-3, and z=4
Step-by-step explanation:
z-yx+x
4-(-3•2) +2
4-(-6)+2
4+6+2
12
Answer:
12
Step-by-step explanation:
4-(-3)•2+2
4+3•2+2
4+6+2
10+2
12
Instructions: Create a table of values for the given function.
Function: f(x) = -4x + 3
Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
find the 21st term of the AP 1,3,5,7,
Answer:
are you Philippines ty points
Answer:
a₂₁ = 41
Step-by-step explanation:
The nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then
a₂₁ = 1 + (20 × 2) = 1 + 40 = 41
The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Answer:
40 cm
Step-by-step explanation:
4325 as a product of its prime factors
Answer:
5*5*173=4325
Step-by-step explanation:
please mark brainiest hope it works out for you
Answer:
5²×173
Step-by-step explanation:
4325 as a product of its prime factors
5²×173
Multiply
8.12.30.3
Please help me
Answer:
8640
Step-by-step explanation:
Ms. Parker wants to buy 10 books. Six of them cost $12.50 each, and the rest cost $26.35
each. If she only has $150, how much more does Ms. Parker need to buy all 10 books?
Answer:
180.4
Step-by-step explanation:
6 times 12.50 is 75
and the rest is 4 and 4 times 26.35 is 105.4
Answer 105.4 + 75 = 180.4
Choose the system for the graph
The answer will be A
I NEED HELP WITH THIS MATH PROBLEM!!!!
Which expression is equivalent to 6f-1+7f-8?
13f+7 5f-1
-f+7 or -9+13f
Answer:
Step-by-step explanation:
6f - 1 + 7f - 8 = 6f + 7f - 1 - 8
= 13f - 9
Combine like terms. Like terms have same variable with same power.
Answer:
-9+13f
Step-by-step explanation:
6f+7f = 13f
-1 + -8= -9
So the sum of them is -9+13f
Simplify 20 + 52 × 2.
Question 24 options:
40
90
1,250
70
Step-by-step explanation:
Simplify:
20 + 52 × 2
=> 20 + 104
=> 124 Ans.
None of these.
Hey there!
20 + 52 × 2
= 72 × 2
= 72 + 72
= 144
Therefore, your answer SHOULD BE: 144
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help me as soon as possible!
Answer:
9.53 AU
Step-by-step explanation:
14,406 minus negative
627
Answer:
15033
Step-by-step explanation:
14,406 -(-627)
Please i need help :(
Answer:
Distributive property, Inverse Operation, and Division property of Equality
Step-by-step explanation:
Because 8•x is 8x and 8x3 is 24 so then the equation would be 8x-24=-40 then you have to add 24 on both sides to the 8x by itself and also get -16 which you would divide 8 on both sides to get x= -2
At the aquarium there are 1350 sharks and 600 lion fish, for a total of 1950 fish all together. What is the ratio of fish to lion fish?
Answer:
2.25 Sharks to 1 lion fish
Step-by-step explanation:
1350 sharks / 600 lion fish =2.25
Solve for d.
2d = 6 + 3d
p.s the virus bots of brainly your not slick no one is falling for it
Answer:
D = -6
Step-by-step explanation:
2d= 6 + 3d
Subtract 3d from each side
-d =6
divide by a -1
d = -6
Answer:
d=(-6)
Step-by-step explanation:
2×(-6)=(-12)=6+(3×(-6))
The sum of a number and 13 is equal to -29. Find the number
Answer:
-16
Step-by-step explanation:
because -29+13 = -16
and if you add them both you get -29