The positive graph of y = 2x + 5 changes to the negative graph which moves downward from left to right when the slope is changed to -2.
What is Slope?Slope of a line is defined as the difference in the y coordinates divided by the difference in the x coordinates of two points.
Slope of a line is usually denoted by the letter m.
First let us take the graph of y = 2x + 5.
Take x intercept and y intercept of this graph.
x intercept is the point where line touches X axis and y intercept is the point where line touches Y axis.
From the equation of the line, y intercept = 5
So we get a point (0, 5)
Now to find x intercept, let y = 0 in the equation, then x = -2.5
So we get another point (-2.5, 0)
So the line y = 2x + 5 passes through the points (0, 5) and (-2.5, 0).
Now if the slope changed to -2, equation becomes y = -2x + 5.
y intercept is same.
So one point of the line will be (0, 5)
To find x intercept, let y = 0 in the second equation, then x = 2.5
So the second line passes through the points (0, 5) and (2.5, 0)
That is, the graph which goes upward from left to right changed to the graph downward from left to right.
Hence, when the slope changed to -2, the graph goes downward from left to right.
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this table shows a liner relationship. based on the information in this table. which equation can be used to model the relationship between x and y?
A) y =3x
B) y =85x
C) y = x + 3
D) y = 3x + 255
i think it is c if its wrong i apologize.
In 2005 the population of a district was 35.700 with a continuous annual growth rate of approximately 4%, what will the population be in 2030 according to the exponential growth function? Round the answer to the nearest whole numberdo not include the unit in your answer.
Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
[tex]2030-2005=25[/tex]
Putting a=35,700, r=0.04 and t=25 in the above model.
[tex]y=35,700(1+0.04)^{25}[/tex]
[tex]y=35,700(1.04)^{25}[/tex]
[tex]y=35,700(2.665836)[/tex]
[tex]y=95170.3452[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 95,170[/tex]
Therefore, population of the district will be about 95,170.
Amount in 2030 is $95,169
Given that:
Amount invested = $35,700
Growth rate = 4% = 0.04
Time invested = 2030 - 2005
Time invested = 25 year
Find:
Amount in 2030
Computation:
A = P[1+r]ⁿ
Amount in 2030 = 35700[1+0.04]²⁵
Amount in 2030 = 35700[1.04]²⁵
Amount in 2030 = 35700[2.6658]
Amount in 2030 = $95,169
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HELP!!! Plz
You are opening a new business and have to set up utilities. The cable company charges a $49.95 one time connection fee which includes the price of hardware. The cost of the service is $45.95 per month. The phone company charges $79.95 for the connection fee and hardware, plus $29.95 per month. What is the total cost for both services for the first month? _____________ What would be the DIFFERENCE in the cost of the two plans for 12 months? ______________
Blank 1: ____________
Blank 2: _____________
Answer:
Blank 1: $205.8
Blank 2: $388
Step-by-step explanation:
For blank 1, I added up the 4 numbers because that's what 1 month would cost for both services. For blank 2, I multiplied the monthly fee for each service separately by 12, for 12 months. After that, each equation still separate add the 1 time fee and subtract each company price and you will get your answer.
- I hope this is correct and helpful :)
Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.
Cable company Connection fee and hardware = 49.95 dollars
Cost of service = 45.95 dollars per month.
Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 49.95 dollars + (45.95 dollars per month x 12 months) Cost for a 12-month period = 49.95 dollars + 551.40 dollars Cost for a 12-month period = 601.35 dollars
Phone company Connection fee and hardware = 79.95 dollars Cost of service = 29.95 dollars per month
Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 79.95 dollars + (29.95 dollars per month x 12 months) Cost for a 12-month period = 79.95 dollars + 359.40 dollars Cost for a 12-month period = 439.35 dollars Difference in the cost = (cable company cost) - (phone company cost) Difference in the cost = 601.35 dollars - 439.35 dollars Difference in the cost = 162 dollars
Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.
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what is exponential rate of change
Answer:
Exponential growth refers to an increase based on a constant multiplicative rate of change over equal increments of time,that is a percent increase of the original amount over time.
PLEASEEE HELPM ME I WILL GIVE BRAINLIEST
what is a simile for abortion
Answer:
abortion is like killing a baby as a mother
Step-by-step explanation:
simile uses "like" or "as"
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
anybody knows the best way to get rid of a migraine or to make it feel better
it k1lls so bad it's so painful. don't say got to the doctor's cuz there medicine doesn't rlly help
Answer:
The best way to help is to get some water or get some sleep.It is either because you didn't get enough sleep or that you are dehydrated.
Step-by-step explanation:
Answer:
Drink a soda the instant you feel one coming on- sugar and caffeine tend to help.
If you can, try a good chiropractor- they can do adjustments that help with so many things including splitting headaches.
Try an OTC medicine.
sleep, dark, quiet, calm- try not to think too much and stay hydrated. maybe try carbonated water.
try to massage your neck yourself. it could help.
try to use a cold or a hot compress on your head.
Bananas. A tried and true natural headache reliever, bananas have potassium, magnesium, B vitamins, and complex carbohydrates, all components that contribute to headache relief.
The taste and smell of green apples have shown to help dim or lessen the intensity of migraines.
Hot packs and heating pads can relax tense muscles. Warm showers or baths may have a similar effect. Drink a caffeinated beverage. In small amounts, caffeine alone can relieve migraine pain in the early stages or enhance the pain-reducing effects of acetaminophen (Tylenol, others) and aspirin.
Step-by-step explanation:
avoid blue light from screens.
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
Jackie wants to purchase a class ring. She found the same ring for $225 at three different stores. The discounts the stores are offering are shown in the table below.
Jewelry Stores
Store Discount
1 25%
2 $25
3 1/3
Which statement about the sales price of the ring is true?
A. Store 1 and Store 2 have the same sales price of $200.
B. Store 3 has the best sales price of $150.
C. Store 1 has the best sales price of $168.75.
D. Store 3 has the best sales price of $75.00.
Answer:
A
Step-by-step explanation:
im not sure tho
What is the expression for 7 times the sum of 24 and 36?
Answer:
7 x (24 + 36)
Step-by-step explanation:
Answer:
7 x (24 + 36)
Step-by-step explanation:
Brainliest?
If the roots of a polynomial are 4 and -2 what could the polynomial be
Answer:
2
Step-by-step explanation:
it may not be right because i guessed
shoutout to lester bc i know he's gonna answer this ;) !
Answer:
A (-3,9)
Step-by-step explanation:
ok easy they they us
R(2,1) and R'(-4,8)
subtract 6 from y and add 7 to y
ok lets solve for S'
S(3,2) now subtract 6 and add 7
(3,2)+(-6,7)
(-3,9)
Simplify -|-7 + 4| Quick please
Answer:- | -7 + 4 |
= - | -3 | Since | -3 | = 3:
= - (3)
= - 3
Answer:
3 or -3
Step-by-step explanation:
Since this is an absolute value, this will be 2 answers.
If |-7+4|=3
then the equation = -3
If |-7+4|=-3
then the equation =3
Luna Park in Coney Island charges $12 for entry and $2 per ride. Ariana visits the park and goes on 4 rides. How much money did she spend in total?
Se contrató a un arquitecto para construir un monumento conmemorativo. La estructura sería una pirámide formada con balas de cañón. La base sería un cuadrado hecho con 100 balas, la capa siguiente tendría 81 balas y así se continuaría construyendo. La pregunta es, ¿Cuántas balas se utilizaron para construir el monumento?
Answer:
385 balas de cañon
Step-by-step explanation:
la base mide 10 x 10 = 100 balas de cañon
la capa siguiente mide 9 x 9 = 81 balas de cañon
la siguiente 8 x 8 = 64
despues 7 x 7 = 49
luego 6 x 6 = 36
y seguimos adelante con 5 x 5 = 25, 4 x 4 = 16, 3 x 3 = 9, 2 x 2 = 4 y finalmente tenemos 1 sola bala de cañon.
El total de balas de cañon = 100 + 81 + 64 + 49 + 36 +25 + 16 + 9 + 4 + 1 = 385 balas de cañon
−2, −1, 4 , find all numbers listed that are solution of the equation. (Careful, there might be more than one that work!) If you find several solutions, separate them with a comma. If none of the given numbers work, just enter DNE for 'does not exist'.
k3−k2+k−4=−2k2+k−4
Answer:
k3-k2+k-4=−2k2+k−4 that is the answer
Solve x^2 — 8x + 15 = 0 by completing the square.
The solutions are x =
and x=
PLEASE HELP I WILL GIVE GBRAINLIEST
Find the slope by using 2 sets of x,y values from the table.
Slope is change in y over change in x:
Slope = (-6 - -9) / (1 - -2) = 3/3 = 1
Then the y intercept is the value of y when x is 0. Looking at the table when x is 0 y is -7
The equation would be y = x-7
What is the value of 7 in 46.897
Answer:
7 thousandths
Step-by-step explanation:
ez dub
Look at points C and D on the graph:
tag: Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at 0, 4 and point D at 3, 1.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (1 point)
Question 11 options:
1) 3.00 units
2) 3.46 units
3) 4.24 units
4) 6.00 units
Step-by-step explanation:
Using Pythagoras' Theorem,
Distance = sqrt[(0-3)² + (4-1)²]
= sqrt[(-3)² + 3²]
= sqrt18
= 4.24 units. (3)
MULTIPLE CHOICE QUESTION
Evaluate f(x) = 3x - 5, whenx = -1
•f(-1)=8
• f(-1) = -8
•f(-1) = 2
•f(-1) = -2
Each year on the same day, Susan deposits $100 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Susan’s account earned after 2 years?
Answer:
200
Step-by-step explanation:
Hope this helps. :)
Answer:
the answer is 9$
Step-by-step explanation:
the other guy is waaaay wrong
Which of the following describes a way to graph the function g(x) = -1/2 |x|?
In a game of spinning wheels, Ann got to spin a wheel twice. She scored –50 points for the first spin and 90 points for the second spin. If her score at the beginning was zero, then what would be her total score after the two spins?
Answer:
40
Step-by-step explanation:
-50 + 90 = 40
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how much tape would the teacher need to hang up 10 student projects?
The teacher would need 40 centimeters of tape to hang 10 student projects.
Step-by-step explanation:
Given,
Tape used to hang projects = 36 centimeters
Number of projects hanged = 9
We will find unit rate;
9 projects = 36 centimeters
1 project = \frac{36}{9}\ centimeters
9
36
centimeters
1 project = 4 centimeters
Therefore,
Tape needed to hang 10 projects = 4*10 = 40 centimeters
The teacher would need 40 centimeters of tape to hang 10 student projects.
Keywords: unit rate, multiplication
Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?
Solve for N!! Please
Answer:
18
Step-by-step explanation:
[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]
What is that "break even" cost? *
Answer:
$61
Step-by-step explanation:
When each company sells 6 shirts, they have $48 (CS) and $45 (TT). When you add their shipping prices, they both have $61.
please help!:)
simplify the complex fraction -9/10 1 3/5
Answer:
It equals -1 11/25
Step-by-step explanation:
A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?
Answer:
The radius of the sphere, to the nearest cm:
[tex]r\approx 20[/tex] cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
The surface area of sphere A = 5024 cm²The radius of the sphere can be determined such as
[tex]A\:=\:4\pi r^2[/tex]
[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]
[tex]r\approx 20[/tex] cm
Therefore, the radius of the sphere, to the nearest cm:
[tex]r\approx 20[/tex] cm