Hence, slope = 3 and, y-intercept = 5.
What is function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, given that,
Avery and her friends attend a museum. It costs $5 to enter the main exhibit hall, with an added charge of $3 to view each special exhibit.
Avery writes an equation that models the total price of visiting the museum as a function of the number of special exhibits they view.
Now, let the function be,
f(x)= 3x+5 = the total price of visiting the museum
[where, x= special exhibit & 5=the main exhibit hall]
Let, y = f(x)
So, w get, y=3x+5
Hence, slope = 3
and, y-intercept = 5.
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Someone please help me with my long division homework in return I will answer Spanish questions
What is the y-intercept of the equation of the line that is perpendicular to the line y = x + 10 and passes through the point (15, –5)?
The equation of the line in slope-intercept form is y = x +
Number 3 and how you got the answer
What are 5 numbers that have 5, 11, and 2 as prime factors
What's twenty and fifteen thousandths in standard form HELP PLSSSSS
Convert -3.7 (with a line over the 7)to a mixed number
4k-(2k-6) simplify the expression
A car is changing speed from 11 m/s to 26 m/s in a time interval of 3.0 s.
What is the acceleration of the car?
Answer Options with 4 options
A. 0.2 m/s,superscript,2,baseline,
B. 3.4 m/s,superscript,2,baseline,
C. 5.0 m/s,superscript,2,baseline,
D. 8.7 m/s,superscript,2,baseline,
How many solutions does this equation have 3(x+11) = 6(x+ 33)
The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?
Answer:
3.06
Step-by-step explanation:
A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meters did he descend ?
The scuba diver descended 17.6 meters.
Explanation:To find the distance the scuba diver descended, subtract the starting depth from the ending depth. In this case, the starting depth is 85.6 meters below the surface and the ending depth is 103.2 meters below sea level. So, the distance the scuba diver descended is 103.2 - 85.6 = 17.6 meters.
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1. Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
Algebraic equations are equations that consist of unknown variables. These variables can be represented using the letters of the alphabet.
The total fee charged by the companies will be the same in 3 hours.
Let's represent the number of hours as :h
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. The algebraic equation to represent this statement is given as:$15 + $3 x h
15 + 3h ..........Equation 1
Happy Hounds charges a flat fee of $21 plus $1 per hour. The algebraic equation to represent this statement is given as:$21 + $1 x h
21 + h ..........Equation 1
We equate both equations to each other
Equation 1 = Equation 2
15 + 3h = 21 + h
Collect like terms
3h - h = 21 - 15
2h = 6
Divide both sides by 2
2h/2 = 6/2
h = 3
Therefore, the total fee charged by the companies will be the same in 3 hours.
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Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.99. If the four friends split up the cost of the snacks equally, how much should each friend pay?
2.99 because you add the total cost up, which would be 11.96. So then you would divide 11.96 by 2.99 which gives you 2.99
Hollis and Charmaine are curious about which mode of transportation gets them from their apartment to the mall faster. Hollis takes public transportation and gets to the mall in 18.5 minutes. Charmaine rides her bike and gets to the mall in 0.5 hours. The mall is 2.4 miles away from their apartment. Use the formula for distance traveled, distance=rate⋅time, to find each rate of travel in miles per minute. What is the difference between Hollis' rate of travel on the bus and Charmaine's rate of travel on the bike? In other words, how much faster is it to take the bus in miles per minute? Enter your answer as a decimal, rounded to the nearest hundredth, if necessary, like this: 42.53 50 pts
how to solve this question
b/5-1=10
On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time.
About how many milliliters of gasoline are burned per minute by commercial airplanes in flight in the United States?
Enter your answer in the box.
1.2 x 10 (to what power) mL
3.9 x 5.1 = 19.89
10^3 x 10^3 = 10^6
19.89 x 10^6
move decimal point
1.989 x 10^7
The original price of a ski jacket was $240. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
Ashely walks 2 1/2 miles around a lake around three times a week. If Ashley walks around the lake in 3/4 hour,what is her rate of speed? (Hint: Use the formula r= d/t, where the r is rate, d is distance, and t is time.
Solve the equation for Y 13x+y=4
What's the answer to 2+{8-2[32+5(1+2)]}
47,57,66,74,81,87,92 what is the pattern
The complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.
What is pattern of numbers?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
The given sequence of numbers are 47, 57, 66, 74, 81, 87, 92.
Here, 47+10=57
57+9=66
66+8=74
74+7=81
81+6=87
87+5=92
92+4=96
96+3=99
99+2=101
101+1=102
So, the next 4 terms of the given pattern are 96, 99, 101, 102
Therefore, the complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.
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write 1.25 in expanded form
728,379 in expanded form
Sale price is $75 it was 20% off what was the original price
The weight that a horizontal beam can support varies as the length of the beam suppose that a 2m beam can support 410kg how many kg can a 1 m beam support
8x(30+2)=(8x_____)+(8x2) what is the missing number
Unit 1: Scientific Notation Constructed Response Assignment
Number Properties. explanations, according to the Scientific Notation Constructed Response Assignment Rubric. Completely respond to all parts below. When you have finished, submit your completed assignment to the Unit 1: Scientific Notation Constructed Response Assignment folder in your Math OMS course.
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters. The diameter of a human hair is about 0.000025 meters.
Part A (2 points): What is the diameter of a human hair written in scientific notation?
Part B (2 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
Part C (2 points): Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work.
Part D (2 points): The smallest known bacteria are from the genus Mycoplasma and can measure as small as 300 nanometers in diameter. Given that 1 meter = 1 x 109 nanometers, what is the diameter of the smallest bacteria, in meters? Give your answer in scientific notation and show your work.
square root of 12 is between
2/3x + 1/6 = -3/4 x + 1