An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The rate of change of the equation that represents the monthly fees and a one-time sign-up fee is 24.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 3 = 4 is an equation.
We have,
y = f(x) = 24x + 15
A health club charges a one-time sign-up fee and a monthly membership fee.
We can see from the equation that,
Monthly membership fee = 24
One-time sign up fee = 15
x = number of months.
Now,
We will take two x values as:
x = 2
x = 5
The rate of change:
= f(5) - f(2) / (5 - 2)
= [(24x5 + 15) - (24x2 + 15)] / 3
= (120 + 15 - 48 - 15) / 3
= 72/3
= 24
Thus,
The rate of change of the equation that represents the monthly fees and a one-time sign-up fee is 24.
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A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan costs
$30 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same.
text messages would have to be sent or received
b. If you send or receive an average of 200 text messages each month which plan would you choose and why?
Answer:
Step-by-step explanation:
a)
30=20+0.2m
10=0.2m
50=m
So after sending 20 messages the plans would cost the same.
b)
Obviously from the first part that the unlimited plan is cheaper when sending 200 messages, but the costs numerically would be.
Unlimited plan costs $30 while the other plan costs
20+0.2(200)=$60
Someone please help and make sure the answer right :)
Answer:
It's 10
Step-by-step explanation:
It's 10 because 7x is congruent to 70 and 7 times 10 equals 70 :))
Answer:
It's 10
Step-by-step explanation:
It's 10 buddy lol
which system of equations graphed below has a solution of (2,1)
Answer:
Sorry to say this... but neither of them have a solution of (2,1)
Step-by-step explanation:
The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...
Rachel has been given $1000 to put into a savings account. She earns 2% simple interest
every month. Rachel hopes to buy a car in two years. Help Rachel determine whether she
will have enough money if the car will cost $1500.
Answer:
She will not have enough. She will only have $1480.
Step-by-step explanation:
The formula for simple interest is A=P(1+rt)
A=final amount
P=initial amount
r=interest rate per month
t=time in months
A=1000(1+(0.02)(24))=1480
Rachel will not have enough money after two years (24 months.)
Hope that helps!
PLZ HELP
Which is the best estimate for the amount of liquid a watering can holds?
5 ounces
5 cups
5 quarts
5 gallons
Answer:
5 quartz would make the most sense, hope this helps
Step-by-step explanation:
properties of isosceles triangle:)
i’ll give a brainiest
Answer:
2 sides re equal
and 2 base angles are equal
Mark it as the brainliest answer
please thanks
MATH HELP! BRAINLIESTT!!
Answer:
14
Hope it helps.......⋋✿ ⁰ o ⁰ ✿⋌
Answer:
n = 14
Step-by-step explanation:
ΔABC was dilated by a scale factor of 2.
Plsss i need help with homework
Answer:
The Answer is YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Use Pythagorean theorem.
The longest side will be the hypotenuse
Hypotenuse² = 17² = 289
base² + altitude² = 15² + 8²
= 225 + 64
= 289 =Hypotenuse²
So, 8 m , 15 m , 17 m forms a right angled triangle
Suppose cos(x)=-1/3, where pi/2≤x≤ pi. What is the value of tan(2x)?
Answer:
4√2/7
Step-by-step explanation:
Suppose cos(x)=-1/3, where pi/2≤x≤ pi
tan(2x) = sin(2x)/cos(2x)
Since sin2x = 2sinx cosx
cos 2x = 2cos²x-1
Substitute
tan(2x) = 2sinx cosx/ 2cos²x-1
Given cosx = -1/3
adjacent = -1
hyp = 3
opp = √3²-(-1)²
opp = √9-1
opp = √8
sinx = opp/hyp
sinx = √8/3
tan(2x) = 2sinx cosx/ 2cos²x-1
tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1
tan2x= (-2√8/9 )÷ (2/9 - 1)
tan2x = -4√2/9 * 9/-7
tan 2x = 4√2/7
If 8 men on a construction crew make up 40% percent of the entire crew, how many people are in the crew?
Could someone explain this question to me? I don't get it at all
Answer:
Step-by-step explanation:
Since 40% of the crew are men, which means n. 40=8 n=8/. 40 n=20 total number of crew 20 - 8=12 are women
A drain empties a bathtub at a rate of 0.5 gallons per minute. A
30-gallon tub was full and the shower head was turned off,
how long would it take the tub to empty through the partly
unplugged drain?
1.) The length of a rectangle is 4 cm longer than the width. The
perimeter is 80 cm. Find the length and width. Write a system and
use substitution to solve.
Step-by-step explanation:
if a rectangle has 4 sides and there are two lengths and two widths
then we could split 80 by 2 and minus 4 from the length and then split that into two.
then your answer would be and 36 and 44
and the total answer would be half of each so the L=22 and L=22
and the W=18 and W= 18
sorry if this is wrong it least i tried :9
Enny is a financial planner and wants to sell fixed-income investments. For this purpose, she requires a(n) certificate.
Answer: FINRA Series 7 certificate
Step-by-step explanation:
The best certificate for her to get is the Series 7 certificate that is issued by the Financial Industry Regulatory Authority (FINRA). This certificate allows the holder to trade in every type of security there is except commodities and futures.
This includes fixed-income investments which are what Enny would like to trade in. Enny will have to write an exam to prove that she has the basic knowledge required to trade.
How would you express the area of the rectangle using the Distributive Property?
Answer:
C
Step-by-step explanation:
Step 1: Find your legth and width
Length = x + 5
Width = 3
Step 2: Use area formula to find area
l x w = A
(x + 5) x 3 = A
A = 3(x+5)
Step 3: Therefore Statement
Thereforethe answer to the question is C. 3(x+5)
Answer:
C. 3(x + 5)
Step-by-step explanation:
area of rectangle = length * width = width * length
A = area of largest rectangle
a1 = area of left rectangle
a2 = area of right triangle
The largest rectangle is made up of the the two smaller rectangles.
A = a1 + a2
Left rectangle: a1 = WL = 3x
Right rectangle: a2 = WL = 3 * 5
Total area of the two small rectangles:
A = a1 + a2 = 3x + 3 * 5
Apply the distributive property in reverse to 3x + 3 * 5 by factoring out a 3:
A = 3x + 3 * 5 = 3(x + 5)
The area of the largest rectangle is 3(x + 5)
We can also find an expression for the area of the largest rectangle directly by looking at its length and width.
The length of the largest rectangle is x + 5.
The width of the largest rectangle is 3.
A = WL
Substitute 3 for W, the width.
Substitute x + 5 for L, the length.
A = 3(x + 5)
Answer: C. 3(x + 5)
Factor the following using identities wherever necessary
1) x² + 8x
2) x2 - 4x
3) x² + x - 2
4) x2 - 9
5) x² + 22x + 121
6) x² - 8x + 16
Answer:
1. x(x+8)
2. x(x−4)
3. (x−1)(x+2)
4.(x+3)(x−3)
5. (x+11)(x+11)
6. (x−4)(x−4)
Step-by-step explanation:
The island has 600 bikes and 900 people. What is the bike to person ratio
Answer:
2:3 (2 bikes for every 3 people)
Step-by-step explanation:
hope this helps
convert to logarithmic form pls!! :))
Answer:
16=(2/3)
Step-by-step explanation:
convert the exponential to a logarithmic equation using the loarithmic base (64) of the right side (16) equals the exponent (2/3)
$9.27 for 48 oz of taco meat
Answer:
Need more info to answer your question!
Step-by-step explanation:
A retailer paid $33.00 for a lamp. What price should she sell the lamp for if she wants to make a 35% profit?
Answer: $44.55
Step-by-step explanation:
She should sell if for $33.00 x 1.35 = $44.55.
1/2(5x−8)=21 solve for x and brainliest
Answer:
x=10
Step-by-step explanation:
see picture for explanation
The set of numbers 1, 7, 11 and 36 contains values for n. What value of n makes the equation below true? 4n + 8 = 36
A) 1
B) 7
C) 11
D) 36
Mike sells computers.
The table shows how many he sold each quarter over a three-year period.
Quarter 1 Quarter 2 Quarter 3 Quarter 4 TOTAL
2015
12
9
21
25
2016
15
10
17
19
2017
8
5
23
35
TOTAL
a) Complete the table.
b) In which year did he sell the most computers?
c) In which quarter did he sell the least computers?
Answer:
A. It's already done
B: 2017
C: Quarter 2 (2017)
Step-by-step explanation:
Total:
2015: 67 pc
2016: 61 pc
2017: 71 pc
A: Done
B: 2017
C: Quarter 2 (2017)
two step equations that equal 23, 26, 28, and 29
Answer:23 - 3 = 20 + 3 = 23
Step-by-step explanation:
A rectangle has an area of 22.64 inches squared. If the coordinates of one of its sides are (0, 0) and (4, 4), what are the dimensions of the rectangle?
(Please only answer if you know how to solve it and maybe know an app, don't answer just because you want the points.)
Answer:
width= 4
hieght- 5.65
Step-by-step explanation:
so first lets find the diestnce between 0,0 and 4,4
which is 4 root 2
which is approciamitlty 5.65 and this would be the hieght
the width would be 22.64/5.65= approxiamitly 4
if you found my answer helpful please mark as brainliest.
Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5?
A)30
B)110
C)100
D) 25
pls hurry!!!
Answer:30
Step-by-step explanation:
30 times he can expect to spin a number less than 5.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A spinner with six section numbered from 1 to 6.
total number of times spins = 150
So, the number of times the number comes less than 5 is
= 150 x 1/5
= 150/5
= 30
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Jenna uses 6.1 pints of white paint and blue paint to paint her bedroom walls. 4/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
2.44 pints of white
Step-by-step explanation:
Which is the equation of the line that passes through the points (4,3) and (6,2)?
A. Y= x - 1
B. Y= 0.5x - 1
C. Y= -0.5x + 5
D. Y= -0.5x + 1
Answer:
[tex] \large \boxed{y = - 0.5x + 5}[/tex]
Step-by-step explanation:
Goal
Find the equation of the line.Given
Coordinate points which are (4,3) and (6,2).Step 1
Find the slope by using slope formula or rise over run.[tex] \large{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]
Substitute the coordinate points in
[tex]m = \frac{3 - 2}{4 - 6} \\ m = \frac{1}{ - 2} \\ m = - \frac{1}{2} \longrightarrow - 0.5 \\ m = - 0.5[/tex]
Step 2
Rewrite the equation in slope-intercept form by substituting m = -0.5[tex] \large{y = mx + b}[/tex]
Substitute m = -0.5
[tex]y = - 0.5x + b[/tex]
Step 3
Find the value of b by substituting any given coordinate points in the equation.Substituting both coordinate points still give the same answer.
Step 3.1
Substitute (4,3) in the equation.[tex]y = - 0.5x + b \\ 3 = - 0.5(4) + b \\ 3 = - 2.0 + b \\ 3 = - 2 + b \\ 3 + 2 = b \\ 5 = b[/tex]
Step 3.2
Substitute (6,2) in the equation.[tex]y = - 0.5 x+ b \\ 2 = - 0.5(6) + b \\ 2 = - 3.0 + b \\ 2 = - 3 + b \\ 2 + 3 = b \\ 5 = b[/tex]
Step 4
Rewrite the equation again by substituting the value of b.[tex]y = - 0.5x + b[/tex]
Substitute b = 5 in the equation.
[tex]y = - 0.5x + 5[/tex]
Hence, the equation is y = -0.5x + 5
please help me if you can please
Answer:
17. m=-1/2
18. m=-1
Step-by-step explanation:
Can someone please help
Evaluate the function.
Answer:
Hello I'm pretty sure the answer is 20
Hope This Helps :D
Please let me know if I am incorrect pretty sure its right tho
Answer:
f(1) = 32
Step-by-step explanation:
f(x) = 4x^2 + 3x + 13
4(1)^2 + 3(1) + 13
4^2 + 3 + 13
16 + 3 + 13 = 32
Prompt Explain how new technologies like machine guns, airplanes, tanks, and poison gas led to so many million deaths during World War I.
Might Help:
The machine gun and the tank were new technologies that influenced WW1 the most. The machine gun lengthened the war and forced it to become a trench war. The bullets in a machine gun could shoot 500 bullets per minute therefor making it much more difficult for the rivalry county to fight back.