Initial amount , a = $50 .
Increase in price , d = $25 .
We need to find the recursive relation of the sequence .
If we notice it is an arithmetic progression with common difference $25 .
Which means that difference between any two consecutive term is 25 .
So , T(n) - T(n-1) = 25
T(n) = T(n-1) + 25 .
Hence , this is the required solution .
Give two real-world situations that could be represented by the value 30
Answer:
1) I went shopping and I saw a dress and i went to the check out line and the lady told me that my total with be 30 dollars
2) It was my birthday and i took all my birthday cards and i counted all my money i got.. the total was 30$.
Step-by-step explanation:
write the inverse of f(x) = x + 5
Answer:
f^-1(x) = x - 5
Step-by-step explanation:
f(x) = x + 5
y = x + 5
x = y + 5
y = x - 5
f^-1(x) = x - 5
Answer:
f^ -1(x) = x - 5
Step-by-step explanation:
y =x+5
To find the inverse, exchange x and y
x = y+5
Solve for y
Subtract 5 from each side
x-5 = y+5-5
x-5 = y
The inverse is x-5
Pablo has saved $40 to buy a Nintendo switch that costs $310.
If he can save $15 each week
, how many weeks will it take Pablo
to save enough to buy the Nintendo Switch?
A. What is the problem about?
B. What is the problem asking you
find?
C. Solve the problem and explain how you get your answer.
to
Answer:
18 weeks
Step-by-step explanation:
Part A:
The problem is about Pablo saving up money to buy a nintendo switch.
Part B:
The problem is asking you how many weeks it will take to have enough money for the Nintendo switch.
Part C
Equation: 40 + 15w = 310
310 - 40 = 270
270/15 = 18
18 weeks
Hopefully this helps you :)
pls mark brainlest ;)
Determine the solutions of the equation |x – 3| = 11. 1. Rewrite for two solutions: (x – 3) = 11, –(x – 3) = 11 Solve for x in each equation. What are the solutions to the equation? x = –14, –8 x = –14, 8 x = –8, 14 x = 8, 14
Answer: C. x=-8,14
Step-by-step explanation:
C
Answer:
x = 14, –8Step-by-step explanation:
|x – 3| = 11
(x - 3) = 11 - (x - 3) = 11
x - 3 = 11 - x + 3 = 11
x = 11 + 3 -x = 11 - 3
x = 14 -x = 8
x = -8
Which expressions are polynomials??
Answer:
Options (1) and (2)
Step-by-step explanation:
Properties of a polynomial,
1). A polynomial having division by a variable can't be defined as a polynomial.
Example:
(y² + [tex]\frac{x}{1+x}[/tex])
2). A polynomial can't have a negative exponent.
Example : [tex](x^{-2}+y-6)[/tex]
3). Polynomials don't have the radicals.
Example : y² + x√3
4). A polynomial can't have a fraction exponent.
Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]
By these properties, Options (3) and (4) are not the polynomials.
Options (1) and (2) are the correct options.
Can someone please answer the two questions circled :>
Answer:
For question 2 the slope is 1. So what you do is get the points you need to put on the graph and move them up one. Like how you did on question 1.
(0.5, 5) (1, 10) (1.5, 15) (2, 20) (2.5, 25)
Question 3 is the same thing but the slope is now 2. Then you would have to pin the points as...
(1, 2) (2, 4) (3, 6) (4, 8) (5, 10)
Hope this helped :)
SIMPLE QUESTION, 25 PTS: The cities G, H, and I, in respective order, lie approximately in a straight line. The distance from city G to city H is 72 miles. The distance from city G to city I is 92 miles. Find the distance from city H to city I.
Hey there! I'm happy to help!
From G to I is the total distance of the line (92). G to H is the first portion of the line (72) while H to I is the other portion.
To find H to I, simply subtract 72 from 92!
92-72=20
The distance from city H to city I is 20 miles.
Have a wonderful day! :D
Answer:
20
Step-by-step explanation:
Which features describe the graph? Select all that apply. Group of answer choices positive: (–2, 2) range: (–3, 4] domain: (–3, 3] decreasing: (–1, 4) negative: (–3, –2), (2, 5] increasing: (–3, –1)
Answer:
A,B,C,F
Step-by-step explanation:
The correct answer would be options (A), (B), (C), and (F)
(A) positive: (–2, 2)
(B) range: (–3, 4]
(C) domain: (–3, 3]
(F) increasing: (–3, –1)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The vertical span of the range is from y > -3 to y = 3. The interval for this is [(-3, 3].
The horizontal range, from x > -3 to x = +4, represents the domain. This is represented by the interval [(-3, 4].
The graph decreases to the right, it gets smaller. There is no mention of the endpoints. The x values are in the range (-1, 4).
The graph is increasing where it goes up to the right. The endpoints are generally not included. The x-values are in the interval (-3, -1).
The region of the graph that is above the x-axis is positive. The interval contains x. (-2, 2).
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ2
Emily's Mom sends her into the store with $10, telling her to buy as many apples as possible. If each apple costs 80 cents. how much change (in cents) will Emily receive?
Answer:
Emily will receive 40 cents in return
Math Comprehension
Convert 77º F into kelvins.
Answer:
298.15 K
Step-by-step explanation:
A. Calculate the circumference of each circle described. Use | [ 3.14 and
round to the nearest hundredth.
1. The diameter of a circle is 6 centimeters.
Answer:
18.84cm
Step-by-step explanation:
C=πd
C=3.14×6
C=18.84cm
Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.
Answer:
y = 5x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 6, - 2) into the partial equation
- 2 = - 30 + c ⇒ c = - 2 + 30 = 28
y = 5x + 28 ← equation of line
is the product of a positive number and a negative number a positive
Answer:
Hey there!
False. The product of a positive number and a negative number is always NEGATIVE.
Let me know if this helps :)
Answer:
FALSE
Step-by-step explanation:
When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.
Solve.
5x – 1= x + 15
Answer:
x=4
Step-by-step explanation:
5x-x=15+1
4x÷4=16÷4
x=4
The solution to the given linear equation with one variable is 4.
The given equation is 5x-1=x+15.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, the equation can be solved as follows
5x-1=x+15
5x-x=15+1
4x=16
x=16/4
x=4
Therefore, the solution to the given equation is 4.
To learn more about an equation visit:
brainly.com/question/14686792.
#SPJ6
2/3x = 6
A. x = 9
B. x = 4
C. x = 18
D. x = 12
Answer:
x = 9
Step-by-step explanation:
2/3x = 6
Multiply each side by 3/2
3/2 * 2/3x = 6 * 3/2
x = 18/2
x = 9
Can someone please help me out with this
Answer: hope this helps!!
Step-by-step explanation:
#9. 7 > -8
7 is bigger
#10. =
#11. <
#12. >
#13. 3 is the answer
#14. 28 is the answer
#15. 90
#16. 3
Sonjesa found a job in advertising that pays a yearly salary of $47,300. What is her weekly salary?
$6,757.14
$909.62
$985.42
$3,941.67
Answer:
$909.62
Explanation:
If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...
$47,300 / 52 weeks = weekly salary
47300 / 52 = 909.615
If we round that equals $909.62
Hope this helps!
Evaluate the expression for p = –2.4 and q = –4. Write your answer as a decimal or whole number. pq − p =
Find the solution to the equation or inequality below. You must type in the entire solution, for example x=5 if it is an equation or x>5 if it is an inequality.
5x - 9 = 26
Which rules define the function graphed below?
y = x; y = 5
y = x + 2; y = 5
y = x; x = 5
y = x + 2; x = 5
Answer:
B) y=x+2; y=5
Step-by-step explanation:
The rules that define the graphed function are y = x + 2; y = 5
How to determine the rule of the function?The function is a piecewise function
There are two lines on the graph.
The first line has the following points
(0,2) and (3,5)
Express 2 and 5 as a sum of 2
(0,0 + 2) and (3, 3 + 2)
This means that the y value is the sum of 2 and the x value.
So, we have:
y = x + 2
The other line has a constant value of 5 for all x values
So, we have:
y = 5
Hence, the rules that define the graphed function are y = x + 2; y = 5
Read more about piecewise functions at:
https://brainly.com/question/11827078
#SPJ2
Vivian's sales territory produced $1.8
million in sales during the year. How
much does she earn if she has a base
salary of $50,000 plus 3% on sales over
$1.5 million?
a.)
$60,000
b.)
$59,500
c.)
$59,000
d.)
$58,500
If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?
Answer:
16 grams
Step-by-step explanation:
multiply 8.0 grams x 2 cups.
Answer: 16 grams
Step-by-step explanation: 8.0 times 2 is 16. So you drank 16 grams of sugar in 2 cups of tea
Your air conditioner hasn’t been working properly, so you decide to set up an appointment to have it fixed. The repair company tells you that it costs $99 for a one time service fee plus $50 every hour. The technician came to your house and determined the drain was clogged. The total bill came to $549. Write an equation that represents this situation. (do not use any spaces in your equation & use the letter "x" to represent your variable)
Answer:
[tex]99 + 50x = 549[/tex]
Alternatively you can write it as;
[tex]50x - 450 = 0[/tex]
Step-by-step explanation:
One time service fee=$99
Rate of service=$50/hour
let unknown hours=x
Therefore the equation is
[tex]99 + 50x = 549[/tex]
or you can further simplify it to:
[tex]50x - 450 = 0[/tex]
And you can then solve for x to be 9 hours.
Jess is painting his car. He's created a purple color that uses red paint and blue paint in a ratio of 6:5. Jess uses 15
pints of blue paint. How many pints of paint does he use in total?
A
18
B
33
С
11
D
26
Answer:
B.) 33
Step-by-step explanation:
15/5=3
6x3=18
18+15=33
The ratio shows how many times one value is contained in another value.
If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.
The total pints of paint used in total is 33 pints.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
The ratio of minutes and minutes in 1 hour is 60 : 3600
We have,
Purple color:
Red : Blue = 6 : 5
Let,
Red colour = 6x
Blue color = 5x
Now,
Blue color = 15 pints
5x = 15 pints
x = 15/3
x = 3 pints _______(1)
Now,
Total color.
= Red + Blue
= 6x + 5x
= 11x
Now,
From (1) we get,
= 11x
= 11 x 3
= 33
Thus,
If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.
The total pints of paint used in total is 33 pints.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
Elizabeth tested how high 5 different brands of new tennis balls would bounce when dropped
from a height of 2 meters. She dropped the balls so that they hit the same floor tile each time.
Independent variable: I
Dependent variable:
Answer: The independant variable is the type of tennis ball. The dependent variable is how high the ball bounces.
Step-by-step explanation:
can someone please do this by applying the distributive property
I like to give easy points so what is 35+50+20 super easy
find f(-3) when f(x)=x2-2x+7
Answer:
f(-3) = 22Step-by-step explanation:
f(x)=x² - 2x + 7
To find f(-3) substitute the value of x that's - 3 into f(x). That is for every x in f (x) replace it with - 3
We have
f(-3) = (-3)² - 2(-3) + 7
= 9 + 6 + 7
We have the final answer as
f(-3) = 22
Hope this helps you
The cost of 4 pounds of chocolate is $18.24. What is the constant
of proportionality that relates the cost in dollars, y, to the number
of pounds, x?
a. $18.24
b. $4.56
c. 4
d. Not Here
Help plss
Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.
Answer:
67
Step-by-step explanation:
Answer:
The mean absolute deviation is 1
Step-by-step equation =
Take all of the numbers and add them together.
4+1+2+1+0+1= 9
Then divide by how many numbers there are. In this word problem its 6.
Divide 9 by 6.
9 ÷ 6 = 1.5
So 1.5 would be our mean.
To find the mean absolute deviation subtract our mean and our original numbers.
1.5 - 4 = 2.5
1.5 - 1 = 0.5
1.5 - 2 = -0.5
1.5 - 1 = 0.5
1.5 - 0 = 1.5
1.5 - 1 = 0.5
Add all of those numbers together.
2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6
Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative
Divide by the amount of numbers you added.
6 ÷ 6 = 1
So the mean absolute deviation is 1
I also took the test that had 10 questions and got a 100
I'm pretty late to answer but hope this helps for others in the future
I learned this like a week or less ago so my explanation might not make the most sense.