FITNESS A fitness center has set a goal to have 500 members. The fitness center already has 150 members and adds an average of 25 members per month. The function x) = 150 + 25x represents the membership after x months. Graph the function to determine the number of inonths it will take for the fitness center to reach its membership goal. Is the function continuous or discrete? Explain.
Answers
Answer:
It would take 14 months for the center to reach its goal, and the line should be discrete because there cannot be partial members.
Step-by-step explanation:
At x = 14 months, the members will become 500 in number.
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of line are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the fitness center already has 150 members and adds an average of 25 members per month. The function f(x) = 150 + 25x represents the membership after [x] months.
We have the function as -
f(x) = 150 + 25x
Now, it can be seen from the graph that at x = 14 months, the members will become 500 in number.
Therefore, at x = 14 months, the members will become 500 in number.
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Related Questions
help with math plz asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Of the 250 sheep in the flock, 34% are gray. What is the total number of gray sheep in the flock?
Answers
Answer:
85 sheep are grey
Step-by-step explanation:
Simplify the expression by combining like terms. -9x + 2y - 7 + 8y + 2x + 20
Please help me
Answers
Answer:
-7x+20y+13
Step-by-step explanation:
Answer:
-7x+10y+13
Step-by-step explanation:
want the explanation?
I guess no cause you know that we need to collect like terms. :)
Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger bottle that was ½ full. At the end of the hike, Sherry and Tia's bottles were each half filled with water. Karl's bottle was ⅓ filled with water. Who has the most water left? Construct a math argument to support your answer.
Answers
Answer:
Sherry is the wonner,winner, kark is burning
Ryan is selling a new computer system that he designed. He spent $200
and wants a markup of 50%. What should he price the computer system?
Answers
Answer:
Ryan should mark the price as $300.
Step-by-step explanation:
If he wants to markup his price by 50%, you first take 50% of $200 which is $100, then you add it to the original price 200+100= $300
State if the two triangles are congruent. If they are, state how you know.
Are they
SSS OR SAS OR NOT CONGRUENT STATE HOW?
Answers
Answer:
1) SAS, 2) SAS, 3) SAS, 4) Not Congruent, 5) SSS, 6) SSS
Step-by-step explanation:
1) SAS - because the two tick marks match up, the right angle is shared, and the two triangles share one side
2) SAS - because the one tick mark matches up, the angles are shared, and the two triangles share one side
3) SAS - because the two tick marks match up, the angles are shared, and the two triangles share one side
4) Not Congruent - because the triangle on the left has the angle in between the tick marks while the triangle on the left does not have the angle in between the tick marks
5) SSS - because the two pairs of tick marks match up and the two triangles share a side
6) SSS - because the two pairs of tick marks match up and the two triangles share a side
hope that helps, good luck
It is found that the options are 1) SAS, 2) SAS, 3) SAS, 4) Not Congruent, 5) SSS, 6) SSS.
What is SAS similarity theorem?ΔABC ~ ΔDEF only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.
1) SAS similarity theorem proved that the two tick marks match up, the right angle is shared, and the two triangles share one side.
2) SAS similarity theorem proved that the one tick mark matches up, the angles are shared, and the two triangles share one side.
3) SAS similarity theorem proved that the two tick marks match up, the angles are shared, and the two triangles share one side.
4) Not Congruent, since the triangle on the left has the angle in between the tick marks while the triangle on the left does not have the angle in between the tick marks.
5) SSS similarity theorem proved that the two pairs of tick marks match up and the two triangles share a side.
6) SSS similarity theorem proved that the two pairs of tick marks match up and the two triangles share a side.
Learn more about congruent triangles;
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Solve the inequality 2x + 3 > 19
Answers
Answer:
x > 8
Step-by-step explanation:
Given
2x + 3 > 19 ( subtract 3 from both sides )
2x > 16 ( divide both sides by 2 )
x > 8
The solution of the inequality 2x + 3 > 19 is x>8.
The relationship between the two values that are not equal to each other, either they are greater or less than each other, is called as inequality.
A collection of constants, variables connected using one or more arithmetic operator is called an expression
Example = 4y, 3x+4.
The inequality of the expression 2x + 3 > 19 is calculated as:
2x + 3 > 19
Subtract 3 from both the sides,
2x > 19 -3
2x > 16
Divide both side by 2, to get the inequality,
[tex]x > \dfrac{16}{2}[/tex]
Where, x> 8.
The inequality of the expression 2x + 3 > 19 is x> 8.
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To enlarge or reduce a shape you must:
Answers
Help immediately plssss!!!!
Answers
Answer:
............462........
Answer:
470
Step-by-step explanation:
Given
z([tex]y^{4}[/tex] - x² ) ← substitute given values
= 2([tex]4^{4}[/tex] - 5² ) ← evaluate contents of parenthesis
= 2(256 - 25)
= 2(235)
= 2 × 235
= 470
16. The ordered pairs (8,12), (16, 24), (x, 21), (26, y
) represent a proportional relationship.
Find the value of x and the value of y.
Select the two correct answers.
A. x = 7
B. x = 14
C. x = 9
D. y = 56
E. y = 39
F = 42
Answers
Answer: x = 14, y = 39.
what strategies can help you determine about unknown side when finding perimeter
Answers
Answer
I think you can visulize the problem. whne you see a rectangle (for example) both the long sides will have the same length. Both the short sides will also have the same width. There you have it! that's how u find the unknown side (s).
Hope this helps :)
PLEASE HELP ME THIS IS A MAPS TEST PLEASE HURRYIf a car can travel 435 miles on 25 gallons of gas, how many miles per gallon does the car get?
A. 1.74 mpg
B. 13.4 mpg
O c. 16.35 mpg
D. 17.1 mpg
E. 17.4 mpg
Answers
Answer: E. 17.4
Step-by-step explanation:
434÷25=17.4
Plz help me with this Plzzzz!!!!
Answers
solve for x
2x = 4
x = 2
plug this in to find the length of one side
4(2) - 2 = 6
6(3) = 18
so the perimeter is 18!
solve the inequality
-6 is greater than t-(-13)
Answers
-6>t-(-13)
-6>t+13
-19>t
t<-19
Matthew wrote the number 7.707.
Amelie wrote the number 7.77.
To help compare their numbers, Amelie will write her number to three decimal places. What is Amelie's number written to three decimal places?
5th grader question
help asap
30 points!
Answers
Answer:
7.770
Step-by-step explanation:
Amelie originally wrote her number with only two decimal places, 7.77. This only includes the tenths and hundredths places. In order to have one more decimal place, she needs to add a zero after the last digit. Therefore, her number should be written as "7.770" because this consists of a thousandths place. With this number, she can then compare her number to Matthew's 7.707.
7.707 ∠ 7.770We can conclude that Matthew's number is less than Amelie's number.
Troy has 7 coins worth 52¢. If the coins are all dimes and pennies, how many dimes and pennies does he have?
Answers
Answer:
5 dimes and 2 pennies.
Step-by-step explanation:
A family had dinner in a restaurant and paid $30 for food items. They had to pay 5% tax. How much did they pay for the dinner after tax?
Answers
Answer:
30/100 X 105 = 31.50
they pay $31.50
If 2^x = y, express the following in terms y.
[tex] {2}^{x + 3} [/tex]
Answers
Step-by-step explanation:
2^(x + 3)
= 2^x * 2^3
= (y) * 8
= 8y.
Answer: 8y
Step-by-step explanation:
[tex]2^{x} =y\\\\2^{x+3} =2^{x} \cdot 2^{3} =y \cdot 8 = 8y[/tex]
What is the other endpoint of the segment with midpoint 23 and endpoint 27
Answers
Answer:
19
Step-by-step explanation:
Difference between one end point and mid point
= 27 - 23 = 4
Other endpoint = 23 - 4 = 19
The graph represents a function related to a train's movement over time.
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed
Answers
Answer:
C: The distance of a train from a station it has departed as it accelerates.
Step-by-step explanation:
I just did it.
What quadrant is an angle with the measure of -200° in?
Answers
Answer:
Determine what quadrant the angle is in
An angle is said to be in standard position if its vertex is at the origin and its initial side is along the positive x-axis. An angle is said to be in the first quadrant, if in the standard position, its terminal side falls in the first quadrant.
Step-by-step explanation:
I need to know the answer in less than 5 mins?? Some one help?
Answers
Answer:
2x-8>-4
2x>-4+8
2x>4
x>2
the answer is A
hope it helped
Answer:
It is a
Step-by-step explanation:
2x - 8 > -4
2x > -4 + 8
2x > 4
1x > 2
x > 2
pls help asap 50 points
answer choices are
a.) (-3.5, 2)
b.) (-2, 4)
c.) (-1, 1)
d.) (-2.5, 8.5)
Answers
Answer:
the answer b or c I hold this helps
Multiply the polynomials.
(3x+4x+ 4)(2x - 4)
Answers
Answer:
A
Step-by-step explanation:
( 3x² + 4x + 4)(2x - 4)
(6x³ - 12x² + 8x² - 16x + 8x -16)
(6x³ - 4x² - 8x - 16)
Hope this helps!
HELP PLZ with this problem
Answers
2x + 6 = 2(x + 3)
How many solutions would it have
Answers
Answer:
an infinite amount of solutions
Step-by-step explanation:
do you want an explanation?
btw, plz brainliest
Answer: Infinite
Step-by-step explanation: :)
-17 + 20 +(-3)=
llllll
Answers
Answer:
0
Step-by-step explanation:
-17+20=3
3+(-3)=
3-3=0
What is the area of this composite figure?
A. 216 cm²
B. 192 cm²
C. 100 cm²
D. 264 cm²
Answers
Answer:
A. 216cm²
Step-by-step explanation:
Area of triangle
(12 × 8) / 2 = 48
Area of rectangle
14 × 12 = 168
168 + 48 = 216
If a circle has a radius of 4 inches, what is the diameter
Please help Please
Save a woman
Answers
Answer:
8 inch
Step-by-step explanation:
radius is half the diameter
Which type of lines is shown below?
intersecting but not perpendicular
neither parallel nor intersecting
parallel
perpendicular
Answers
Answer:perpendicular
Step-by-step explanation: