Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
The line shows the cost, y, for x classes taken. Write an equation for the line in
slope-intercept form. Show your work.
Answers
Answer:
Step-by-step explanation:
The equation for the line in slope-intercept form will be y = 10x + 20.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
Assume that the equation of the line in the slope - intercept form as -
y = mx + c
At [x] = 0, [y] = 20.
So, the [y] intercept will be -
[c] = 20.
and slope of the line will be -
m = (40 - 30)/(2 - 1)
m = 10/1
m = 10
So the equation will be -
y = 10x + 20
Therefore, the equation for the line in slope-intercept form will be y = 10x + 20.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Related Questions
What is the greatest common factor of 6,27, and 30
Answers
Answer:
the GCF is 3 because 6/3= 2 27/3=9 30/3=10ben used 124.7 pounds of gravel in his front yard 110.7 pounds in his back yard.how many more pounds of gravel does ben use in his front yard than his back yard
Answers
Answer:
30.1
Step-by-step explanation:
it is subtraction because it is asking how many more pounds of gravel does Ben use in his front yard than his back yard and his front yard has a bigger number so you subtract.
136.2-106.1= 30.1
Evaluate:
20
5.2-^3
Answers
Answer:
3 37 over 41
Step-by-step explanation:
What's the range of this function graph
Answers
Answer:
[2,∞)
Step-by-step explanation:
The range is the y intercept and the function starts at 2 and continues going up causing the range of the function to be [2,∞)
Divide.
(15x +9x² +24x – 13) + (5x2–2x)
Your answer should give the quotient and the remainder.
Quotient:
1
Remainder:
X Х
?
Answers
Answer:
14x2+37x−13
Step-by-step explanation:
15x+9x2+24x−13+5x2−2x
=15x+9x2+24x+−13+5x2+−2x
Combine Like Terms:
=15x+9x2+24x+−13+5x2+−2x
=(9x2+5x2)+(15x+24x+−2x)+(−13)
=14x2+37x+−13
The manager of an ice cream shop found that the probability of a new customer ordering vanilla ice is 7\9. What are the odds against a new customer ordering vanilla ice cream?
Answers
Answer:
The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7
Step-by-step explanation:
Odds-against is the ratio of probability of non-occurrence of an event to the probability of occurrence of an event.
Let p be the probability that the new customer will order vanilla
Then
[tex]p = \frac{7}{9}[/tex]
Let q be the probability that the new customer will not order vanilla
[tex]q = 1-p\\= 1 - \frac{7}{9}\\= \frac{9-7}{9}\\=\frac{2}{9}[/tex]
Now the odds against formula is:
[tex]\frac{Probability\ of\ non-occurrence}{Probability\ of\ occurrence}= \frac{q}{p}\\=\frac{\frac{2}{9}}{\frac{7}{9}}\\=\frac{2}{9} * \frac{9}{7}\\=\frac{2}{7}[/tex]
Hence,
The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7
What is 2/{3}{8} + 10/{4}{5}?
Answers
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[tex] \frac{2}{3 \times 8} + \frac{10}{4 \times 5} = \\ [/tex]
[tex] \frac{2}{2 \times 4 \times 3} + \frac{2 \times 5}{2 \times 5 \times 2} = \\ [/tex]
[tex] \frac{1}{4 \times 3} + \frac{1}{2} = \\ [/tex]
[tex] \frac{1}{12} + \frac{1}{2} = \\ [/tex]
[tex] \frac{1}{12} + \frac{1 \times 6}{2 \times 6} = \\ [/tex]
[tex] \frac{1}{12} + \frac{6}{12} = \\ [/tex]
[tex] \frac{1 + 6}{12} = \frac{7}{12} \\ [/tex]
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Answer:
I'm pretty sure your question is supposed to look like this [tex]\frac{2}{38}+\frac{10}{45}[/tex] so the answer is [tex]\frac{47}{141}[/tex] or [tex]\frac{1}{3}[/tex] when simplified
Step-by-step explanation:
hope this helps :)
Try using Symbolab, I use it all the time it gives correct answers and it gives good explanations.
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Answers
How many 3 2/3 ounce bottles of perfume can be filled from a jug containing 64 ounces?
Answers
Answer:
24 bottles would fill the jug
Step-by-step explanation:
Given
[tex]Bottles = 3\frac{2}{3}[/tex]
[tex]Jug = 64[/tex]
Required
Determine the number of bottles in a jug.
To do this, we simply divide the given measurements of jug and the bottle.
In other words,
[tex]Number = \frac{Jug}{Bottle}[/tex]
[tex]Number = \frac{64}{3\frac{2}{3}}[/tex]
Convert fraction to improper
[tex]Number = \frac{64}{\frac{8}{3}}[/tex]
[tex]Number = 64/\frac{8}{3}[/tex]
[tex]Number = 64*\frac{3}{8}[/tex]
[tex]Number = 8 * 3[/tex]
[tex]Number = 24[/tex]
Hence, 24 bottles would fill the jug
Given the system of equations, solve for x
2x - 3y = -19
4x + 5y = 17
Answers
Answer:x=-2
Step-by-step explanation: First, you need to multiply 2 for the first equation. The first equation becomes 4x-6y=-38. Then you have to subtract the first equation from the second equation, so it becomes 11y=55. 55/11=5, so y =5. We can plug 5 into the equation, and from there, we can draw out the conclusion that x=-2. You can also verify this by plugging -2 into the equation, which I did.
Graph the line that contains the point (-3,1) with a slope of 2/3
Answers
Answer:
The graph of the line that contains the point [tex](-3,1)[/tex] with a slope of 2/3.
Step-by-step explanation:
As the line contains the point (-3, 1) with a slop 2/3
Given the slop-intercept form of the line equation
y = mx+b
Here,
m = slopeb = y-interceptSubstituting the values in the slop-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]1 = \frac{2}{3} (-3) + b[/tex]
[tex]1 =- 2 + b[/tex]
switching sides
[tex]-2+b=1[/tex]
[tex]b=3[/tex]
Now Substituting the value of [tex]b=3[/tex] in the slop-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y=\frac{2}{3} x+3[/tex]
Hence, the line of the equation will be: [tex]y=\frac{2}{3} x+3[/tex]
Therefore, the graph of the line that contains the point [tex](-3,1)[/tex] with a slope of 2/3.
Are integers closed under addition? Justify your answer.
Answers
Answer:
The set of integers is closed under addition, subtraction, and multiplication because when I add, subtract, or multiply any integers, the result is always an integer.
Step-by-step explanation:
Answer:
The integers are "closed" under addition, multiplication and subtraction.
Step-by-step explanation:
But can not be used doing division or A fraction involving two integers.
hiii please help me 20ptss
Answers
Answer:
I think it's the second answer, The head of state is always chosen by the citizens.
Step-by-step explanation:
I hope this helps!
Answer:
I think it is the first one but im not too sure sry if its wrong
Step-by-step explanation:
If a population doubles every 5 years, how many years will it take for the population to increase by 10 times
its original amount?
Answers
Answer:
25 years
Step-by-step explanation:
Can someone solve please? An explanation with it would help as well!
Answers
Take triangle PQM and find all sides and angles to get the length of the hypotenuse for right triangle RQM. Then use the Pythagorean Theorem to solve fo side RQ:)
Find the QUOTIENT of 0.4452 and 0.06.
Answers
Answer:
7.42
Step-by-step explanation:
When you divide by something smaller than 1, the answer becomes bigger because you are trying to see how many times 0.06 can fit in 0.4452. Hope this helps
h(x)=4x+4 find h(3b)
Answers
Answer:
h(3b)=12b+4
another answer
h(3b)=4(3b+1)
Step-by-step explanation:
h(x)=4x+4
h(3b)=4(3b)+4
h(3b)=12b+4
if need to simplify..then:
h(3b)=4(3b+1)
so who's going to do this aka the queen / King Master
Answers
the school office orderd 24 boxes of pen there total cost was 191.52 what was the cost of 1 box of pen
Answers
Answer:
$7.98 per box
Step-by-step explanation:
Divide 191.52 by 24
Lauren is replacing a door that measures 80 inches by 39. What is the distance between opposite corner of the door
Answers
Answer:
Step-by-step explanation:
x² = 80² + 39²
x² = 6400 + 1521
x² = 7921
x = 89 inches
536-248 answer and show your work
Answers
Answer:
288
Step-by-step explanation:
288+248=536
The difference between a number and 25
Answers
Answer:
x-25
Step-by-step explanation:
the number is x and the subtraction is the difference
20!! points see the image please help as fast as possible please 20!
Answers
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + rectangle side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
30 POINTS IF U GET IT RIGHT
The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?
Answers
explanation: 545 x 1.045 to add the 4.5% increase in tax
helppppp please will give brainliest
Answers
Answer:
The answer is A
Step-by-step explanation:
True or False
Unit rate is a ration with denominator 2 example 100words in 2 minutes
True
False
Answers
Answer:
The Answer Is True
Step-by-step explanation:
Use the figure below to answer the question below.
A. If each square represent one square unit, estimate the area of the shaded figure in square units.
B. Estimate percent of the larger square that is shaded.
Answers
Answer:
Part A : 4pi OR 12.56637
Part B : 34.9%
Step-by-step explanation:
Help ASAP thank you!! And show work !
Answers
Answer:
c. -2
Step-by-step explanation:
Since f(x) is the regular graph. Since the inverse function flips the x and y coordinates, f inverse of 4 is actually where y=4, not x=4. so the x coordinate where y is 4 is -2.
find the equation of the line m=6 and b=-7 in slope intercept form
Answers
Answer:
y = 6x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 6 and b = - 7 , thus
y = 6x - 7 ← equation of line
estimate then divide 75578÷53