Answers and Step-by-step explanation:
a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.
b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.
c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).
A domain can not have multiple ranges. A range can have multiple domains though.
The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.
What is an equation?In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
y = 7x + 35, x members joining the fitness club and y is cost.
(a) As you can see from the equation, y depends on the value of x,
(b) Calculate the amount of x = 6 (as given)
y = 7 × 6 + 35
y = 42 + 35
y = $77
The domain of the function is 6 and the range is 77.
(c) Yes, as we put the values in x, y also changes, so it is a function.
To know more about equations:
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The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle. PLSSS HELP
Answer:
43.2
26.4
6
Step-by-step explanation:
so first if we know that the loger side's ratio is 6 we divided by 7.2
7.2 divided by 6 which is 1.2
so we mulitply the 5 by 1.2
so the shorter side is 6
6 x 7.2 = 43.2 is the area
14.4 + 12 = 26.4 is the perimeter
HELPPPP PLEASEEEEEEE!!!!
Answer:
Depends on the range of x
Step-by-step explanation:
Does that make sense to you
(Edmentum)
Part A Write an expression to find size of the largest jellyfish. Represent the expression in meters as a product of two numbers in scientific notation.
Answer:
The expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.
Step-by-step explanation:
A jellyfish can be up to 1 × 108 times bigger than femtoplankton. Find the size of the largest jellyfish by multiplying the size of a femtoplankton by 1 × 108 times.
The size of a femtoplankton is 2 × 10-8 meter. That means the expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.
what is the multiplication inverse of -3/11 and they also said they wanted the improper inverse and mixed number and if you could also explain it to me that would be amazing
Answer:
3/11
Step-by-step explanation:
because 334443
5 ounces of potatoes produce about 20 calories. What is the unit rate in
calories per ounce?
Answer:
4 calories per ounce.
Step-by-step explanation:
20/5 = 4
An art teacher has 47 1/3 pounds of clay.he wants to give each student in his class 2 1/2 pounds of clay. The teacher estimates that he has enough clay for 9 students. Is this the best estimates explain
Answer:
47 1/3 = 142 / 3 total clay
2 1/2 = 5 / 2 clay required for each student
If we divide total clay by clay per student
(142 / 3) / (5 / 2) = 284 / 15 = 18.9
So he should have enough clay for 18 students
Adult tickets to
the fall play cost $8 and student tickets cost $4. The drama class
sold 20 more adult tickets than student tickets to the fall play. If the class
collected $880 from
ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution is?
A sloth crawled 6 cm in one second. What was its speed in km/h? (1 hr =
3600 s) (1 km = 100,000 cm)
Step-by-step explanation:
it was measured that the south crawled 6cm in 1 second.
that gets expressed by the ratio
6 cm/sec or formally correct 6/1 cm/sec.
to get that speed in km/h (kilometers per hour), we need to transform the denominator of that ratio to 1 hour.
the only way we can manipulate a fraction or ratio without changing its value is by multiplying numerator and denominator (top and bottom) by the same factor.
like x/y × 3/3 = 3x/3y.
the driver behind a question of this kind is again the denominator. we want the denominator to appear as 1 hour.
so, what do I need to multiply 1 second with to get 1 hour ?
the problem definition tells us : 3600, as there are 3600 seconds in 1 hour.
so, we need to multiply
6/1 × 3600/3600 = (6×3600)/3600 = 21600/3600 =
21600cm/1 hour.
and now, how many km are 21600 cm ?
1 km = 100000 cm
so,
21600cm = 21600/100000 km = 0.216 km
therefore, or full answer is
the sloth's speed was 0.216 km/h
Graph the following Standard Form equation.
3x + 4y = 12
Answer: See my graph below
Step-by-step explanation:
should be (0,3), (4,0) but im not completely sure!!
2a+4=3 what is the value of a???????
Hey there!
2a + 4 = 3
ADD 4 to BOTH SIDES
2a + 4 - 4 = 3 - 4
CANCEL out: 4 - 4 because that gives you 1
KEEP: 3 - 4 because it helps solve for the a-value
2a = 3 - 4
3 - 4 = -1
2a = -1
DIVIDE 2 to BOTH SIDES
2a/2 = -1/2
CANCEL out: 2/2 because it gives you 1
KEEP: -1/2 because it gives you the value of the a-value
a = -1/2
SIMPLIFY IT!
Therefore, your answer is: a = -1/2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $750. The store has a sale where all bicycles cost25of the regular price. What is the sale price of the bicycle?
Answer:
$187.50
Step-by-step explanation:
change 25% into a decimal: 0.25
the you will multiply:
0.25 × 750 = $187.50
Solve the system by substitution.
−5x+2y=14
y=3x+2
let −5x+2y=14 be [1]
& y=3x+2 be [2]
Finding the value of x
By substituting y in [2] for y in [1]
⇒ −5x + 2(3x+2) = 14 [expand the bracket]
⇒ -5x + 6x + 4 = 14 [subract 4 from both sides and simplify]
⇒ x = 10
Finding the value of y
Since x =10, we can substitute value of x into [2]
⇒ y = 3(10) + 2
⇒ y = 32
Complete the statement. Round to the nearest hundredth if necessary.
3 km = m
Answer:
3km=3000m
Step-by-step explanation:
if 1 km=1000m,
3 km: 3 x 1000 = 3000m
hope this helps :)
Need help ASAP points 50
Answer:
f(-2) = -28
Step-by-step explanation:
f(x) = 12x-4
Let x = -2
f(-2) = 12(-2) -4
Multiply
= -24-4
Add
= -28
Find the x and y intercepts
Answer:
x:(-1,0),(5,0)
y:(0,-2)
Answer:
see explanation
Step-by-step explanation:
The x- intercepts are where the graph crosses the x- axis
The graph crosses the x- axis at x = - 1 and x = 5 ← x- intercepts
The y- intercept is where the graph crosses the y- axis
The graph crosses the y- axis at - 2 ← y- intercept
Classify the triangle. Find the value of x
Answer:
45-45-90, x = -7
Step-by-step explanation:
The triangle is 45-45-90
45 = x + 52
x = -7
If f(x)= x² + 3x –10, then over which of the following intervals is f(x) <0?
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation: (−∞,∞)
Set-Builder Notation: {x|x∈R}
f(x) is continuous on (−∞,0).
The function is continuous.
Step-by-step explanation:
48:09
Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 24 + 56. Her work is shown below.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
24 + 56 = 8 (4 + 7)
What statement best describes Simone’s error?
Simone did not use the correct factors for 24 in the equation.
Simone did not use the correct factors for 56 in the equation.
Simone did not use the greatest common factor in the equation.
Simone did not use the correct operations in the equation.
The population of a city increases by 0.9% per year. If this year's population is 261,000, what will next year's population be, to the nearest individual?
Answer:
263349
Step-by-step explanation:
I did mental math and big brain
how do you find the answer to -9+p=12
Answer:
P=21
Step-by-step explanation:
Add 9 to 12
Answer: Heyy bestie ❤️ The Answer is 21
Step-by-step explanation:
P-9=12
p=12+9
p=21
Please solve this geometry math problem... I will mark you brainliest
what is the slope of the line on this graph
Answer:
-1/3 is the slope for this graph
Step-by-step explanation:
-2/6
What is a Graphic representation of association between variables
Type the integer that makes the following addition sentence true: 9 + what = 2
I believe the answer to be (-7)
Answer:
-7
Step-by-step explanation:
Step 1: Make an equation.
[tex]9 + x = 2[/tex]Step 2: Subtract 9 from both sides.
[tex]9 + x - 9 = 2 - 9[/tex] [tex]x = -7[/tex]Step 3: Check if solution is correct.
[tex]9 + (-7) = 2[/tex] [tex]9 - 7 = 2[/tex] [tex]2 = 2[/tex]Therefore, the integer that makes the addition sentence true is -7.
1) Given A = {1, 2, 3, 4, 5 }; B = {2,4,6,83 2,4,6,8} Find A∩B, A-B
2) Is it true to say that sin ( A+B) = -sinA + sinB
3) prove that ( tan theta - sin theta ) / ( tan theta + sin theta ) = ( sec theta - 1 ) / ( sec theta + 1 )
Answer:
A∩B = 2,4
A-B = 1,3,5
sin (A+B) = sin(A)cos(B)+cos(A)sin(B)
Step-by-step explanation:
A intersects U means the numbers that are coming to both A and U
set a minus set b of the numbers that are not common to B
multiply the numerator and the denominator by csc(x)
NOTE: I substituted x for theta as I don't have theta on my phone
[tex] \frac{ \csc(x) }{ \csc(x)} \frac{ \tan(x) - \sin(x) }{ \tan(x) + \sin(x) } = \frac{ \sec(x) - 1}{ \sec(x) + 1} [/tex]
[tex] \frac {\csc(x)}{\csc(x)} \frac {\frac ({\sin(x)}{\cos(x)}-\sin(x)} {\frac ({\sin(x)}{\cos(x)} + \sin(x)}) [/tex]
If DEKL, then M _____ F.
Choose the relationship symbol to make a true statement.
<
=
>
Answer:
MLEF
<
Step-by-step explanation:
I hope this helps...
help me pls, solve it using the arithmetic or geometric formula
Answer:P2,700,000
Step-by-step explanation:
P100,000 must be added to the purchase price every year from 2009 to 2021. A formula calculating the value, V, as a function of time, t, where t is years since 2009, would be:
V(t) = P1,500,000 + (t - 2009)*(100,000)
V(2021) = P1,500,000 + (2021 - 2009)*(100,000)
V(2021) = P2,700,000
[Warning: This prediction assumes no housing bubble drop or general recession. It also assumes consistent government policies regarding home ownership. If there were a probability component to the question, it is likely that the overall probability is zero that this is calculation will hold true. This isn't important to answering the question, but it does allow me to vent a bit.]
Write the equation of the mine in fully simplified slope intercept form
CAN SOMEONE PLS HELP ME WITH THIS QUESTION IM MARKING BRAINLEIST
Answer:
Step-by-step explanation:
We can pick the two coordinates again, such as (90,70) and (10,50)
And use the formula m=y1-y2/x1-x2
m= (70-50)/(90-10)
=20/80
=1/4
May I please receive help
Answer:
the slope is 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope of ║ line is ( - [tex]\frac{5}{4}[/tex] )
slope of ⊥ line is [tex]\frac{4}{5}[/tex]