Answer:
T(n) = 1800 + 58n
Step-by-step explanation:
Rent reception = $1800
Charge per person = $58
Number of person who attend reception = n
Total cost = fixed cost + variable cost
Fixed cost = 1800
Variable cost = 58n
Total cost = T(n)
Total cost = fixed cost + variable cost
T(n) = 1800 + 58n
Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up 1.25 gallons of gas. Write an equation to represent the scenario. How much gas will Dominic have in 3 hours? Show Your Work
Answer:
Step-by-step explanation:
10-1.25 = 9.75 (1 hour) 9.75-1.25=8.50(2 hour) 8.50-1.25=7.25(3rd hour)
h= hour g= gallons
1h=-1.25gallons
Solve for x: -2(x + 3) = -2(x + 1) - 4. (1 point)
a
2.
CA
3
ос
All real numbers
Od
No solution
Answer:
no solution
Step-by-step explanation:
[tex]-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6[/tex]
add [tex]2x[/tex] to both sides
[tex]-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6[/tex]
That's impossible
so the equation no solution
Answer:
All real numbers ( -∞ ,∞)
Step-by-step explanation:
Simplify [tex]-2(x+3)[/tex]
Apply the distributive property.
[tex]-2x-6=-2(x+1)-4[/tex]
Simplify
[tex]-2(x+1)-4[/tex]
[tex]-2x-6=-2x -6[/tex]
Move all terms containing x to the left side of the equation.
Add 2 x to both sides of the equation.
[tex]-2x-6+2x=0[/tex]
Combine the opposite terms in
[tex]-2x-6+2x[/tex]
add [tex]-2x[/tex] and [tex]2x[/tex]
[tex]0-6= -6[/tex]
[tex]-6= -6[/tex]
Since [tex]-6= -6[/tex] , the equation will always be true for any value of x . All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
( − ∞ , ∞ )
What is the equivalent fraction of 0.95
.95 as a fraction would be 95/100
In simplest form this would be 19/20
Rewrite 4/6:1/3 as a unit rate. A: 2/1 B: 12/6 C: 2/9 D: 12/1
Answer:
2/1
Step-by-step explanation:
get the first part of each fraction to something divisible by the second part
4 · 3= 12/6
1 · 3= 3/3
12÷2= 2 3÷3= 1
2/1
Answer:
Correct answer is A 2:1
Step-by-step explanation:
When writing a unit rate the denominator is always 1
If you want to obtain a unit rate you divide both quantities by the second one.
what is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
what are the coordinates of the midpoint between the points (-4,-9) and (-8,-5)?
Answer:
(-6,-7)
Step-by-step explanation:
Apply the midpoint formula!
4y-x=6 solve the equation for x
Answer:
x=6
Step-by-step explanation:
you have to find the y value which should be 3 then subtract the x value. Which should be 6
PLEASE HELP QUICKLY! I KNOW THE ANSWER IS 65 BUT WHAT DOES F REPRESENT??
The equation 201.50 = f + 6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to the equation and state what the solution represents in this situation.
Answer:
maybe it means how many shirts
Answer:
F= 65
Step-by-step explanation:
Hope it helps
3(32 − 4 + 6 )− (82 + + 3) ?
simpilyfy
plzz
Answer:
17 is your answer
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
3(32-4+6) --> 102 & (82+3) --> 85
102-85 =17
Given f(x)=x−1−−−−√+2, what is the relationship between f(x) and f−1(x)? Drag and drop an inequality into each box to correctly complete each statement.
Answer:
The domain of f(x) is x>-2, so the range of f-1(x) is y>-2
The range of f(x) is y>-1, so the domain of the f-1(x) is x>-1
Step-by-step explanation:
To solve this question, we need to know the definition of domain and range.
The domain of a function is defined as all the possible input x-values while the range is defined as all the possible output y-values.
For f(x), domain for x is; x ≥ 1 and range is; y ≥ 2
For f⁻¹(x); domain is; x ≥ 2 and range is; x ≥ 1
We are given the function;
f(x) = [tex](\sqrt{x - 1} ) + 2[/tex]
Now, when x = 1, we will have zero inside the square root sign and this means that any x-value less than 1 will make the value inside the square root symbol to be negative which will result in an imaginary root.
Thus, we can say that, the domain for x is; x ≥ 1
Putting x = 1, we can find the least range value;
f(x) = 0 + 2
f(x) = 2
Thus, the range will be; y ≥ 2
Now, we want to find the range of f⁻¹(x)
This means an inverse of the original equation.
Thus;
f⁻¹(x) = [tex](x - 2)^{2} + 1[/tex]
Let's put x = 2;
f⁻¹(x) = (2 -2)² + 1
f⁻¹(x) = 1
Since x=2 gives the bracket to be zero, it means the domain is; x ≥ 2 and range is; x ≥ 1
Read more at; brainly.com/question/24522291
Stephen had $101 to buy 9 pairs of PEMDAS socks. After buying them, he had 11 dollars
left. How much did each pair of socks cost?
Answer:
They are 10 dollars a piece
If angle 2 equals (2x+5)degrees and angle 3 equals 85 degrees, what is the value of x?
Answer:
x=40
Step-by-step explanation:
2x+5=85
2x+5-5=85-5
2x=80
\frac{2x}{2}=\frac{80}{2}
x=40
The value of x for the given expression in angles will be 40. The correct option is B.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are defined as when the sum of the angles is equal to 180 degrees.
Given that ∠2 equals (2x+5)degrees and ∠3 equals 85 degrees. The value of x will be calculated by using the supplementary property of angles.
2x+5=85
2x+5-5=85-5
2x=80
x=40
Therefore, the value of x for the given expression in angles will be 40. The correct option is B.
To know more about supplementary angles follow
https://brainly.com/question/12919120
#SPJ2
the area of a square is 36 cm^2? what is the side length
Answer:
6cm
Step-by-step explanation:
[tex]\sqrt[]{36} =6[/tex] Add the units, and there is your answer.
graph the function and its parent function on the calculator . Then describe the transformation.
equivalent fraction for ½.
Answer:
2/4
Step-by-step explanation:
half/whole for any number really
I need help. Someone pls answer 50 and 40. I'm giving 25 brainly
Answer:
I'm not sure if you're supposed to answer the question in numbers, i think you move the boxes "rational" and "irrational" in the rectangles provided below each question.
PLS HELP I WILL MARK BRAINLIEST
Answer:
The answer for this question is. D
Answer:
D just read each of the selections very carefully and look for keywords like equals or more than, per..., and etc pls mark me brainliest
Step-by-step explanation:
if g(x) = x^2 -1, find g(-3)
Step-by-step explanation:
>>▪︎g(x)=x²-1▪︎<<>>▪︎g(3)=3²-1▪︎<<>>▪︎=9-1▪︎<<>>▪︎8▪︎<<Rotate the shape 180 degrees counterclockwise around B
Answer:
see attached
Step-by-step explanation:
Simplify by combining like terms.
1. 5a-a
(-3-5/)(-3+5/)=
34
34-30i
-16
Answer:
(m+ni)2= -16 - 30i
2m + 2ni = -16-30i
.)2m=-16 .)2n=-30
m= -8 n= -15
por lo tanto.....
m2 + n2
(-8)2 + (-15)2
-16 + (- 30 )
-16 - 30
-46
respuesta..... - 46
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Given
(- 3 - 5i)(- 3 + 5i) ← expand using FOIL
= 9 - 15i + 15i - 25i² [ i² = - 1 ]
= 9 + 25
= 34
our solutions to elimin:
ate
2. 3+5x = 3x - 9
Answer:
x=−6
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5x=3x−9
a number greater than -5
a number that is most 30
a minimum number of 17
a number that is at least 90
Answer:
Hi there!
Your answers are:
1) x> 5
Some numbers that would fit this equation are 6, 7, 8, etc!
2) x<= 30
Some numbers that would fit this are 30, 29, 28, etc!
3) x>= 17
Some numbers that would fit this equation are 17, 18, 19, etc!
4) x>= 90
Some numbers that would fit this are 90, 91, 92, etc!
Hope this helps!
HELP ME FOR BRAINETEST PLS
Answer: the first one is when you multiply it, the second is where you divide it
Step-by-step explanation:
Because they are different equations that are similar but one just uses multiplication and the other uses division.
Can someone please assist me with this? If so praise God :)
Answer:
option 1
Step-by-step explanation:
the square root of 6 is 2.44949, rounded it's 2.4
the square root of 42 is 6.48074, rounded it's 6.5
in option 1 the 6 is placed after the 2 because it is point 4, not quite 2 but a bit bigger than 2 but less than 3.
same thing for 42, it is placed after 6 because it is not quite 6 but not over 7. i hope this helped
Given f(x) = 2x2 – 1 and g(x) = x + 3, find f(g(-5))
Answer:
7
Step-by-step explanation:
f(x) = 2x2 – 1 and g(x) = x + 3,
f(g(-5))
First find g(-5)
g(-5) = -5 + 3
g(-5) = -2
Then substitute into f(x)
f(-2) = 2 ( -2) ^2 -1
= 2 ( 4) -1
= 8-1
= 7
Does anyone know how to solve this?
Answer:
14.76
Step-by-step explanation:
First find the length of the diagonal across the bottom using the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2+5^2 = c^2
144+25 = c^2
169 = c^2
Take the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
Then find the length of the diagonal across the middle using the Pythagorean theorem
7^2 + c^2 = d^2
7^2 + 13^2 = d^2
49+ 169 = d^2
218 = d^2
Take the square root of each side
sqrt(218) = sqrt(d^2)
14.76482306 = d
To the nearest thousandth
14.76
5 | 9 - 5n|-7 = 38
I need helppp.
Answer:
I got 0 or 18/5
Step-by-step explanation:
Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it would take Felipe 8 hours to do the puzzle alone. A table showing Rate in part per hour, Time in hours, and Part of puzzle complete. The first row shows Sanjay, and has blank, t, t. The second row shows Felipe, and has blank, t, t. Use the table to write and solve an equation to determine the approximate amount of time it would take Sanjay and Felipe to do the puzzle if they were working together. 0.8 hours 1.7 hours 3.4 hours 7 hours
Answer:
3.4h
Step-by-step explanation:
Answer:
C 3.4 hours
Step-by-step explanation:
Help please 50 points!
Answer:
84%
Step-by-step explanation:
The mean has 50% below the mean and 50 % above the mean
The mean is 103.47
The standard deviation is 4.07
Add the mean and the standard deviation
103.47+4.07 = 107.54
We want to know how much data is below the mean plus one standard deviation
Within one standard deviation is 68% , but that is on both sides, we are only needed on the right side so we need 1/2 of the 68 = 34
50+34 = 84
0.63 repeating as a fraction
Answer:
63 100
Step-by-step explanation:
To convert the decimal 0.63 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one: 0.63 = 0.63 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
Answer:
7/11
Step-by-step explanation:
