Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
This concludes that the rate of change is contant i.e. $30 dollars per weekTherefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
What type of lines are coplanar and do not intersect?
A) Parallel
B) Perpendicular
C) Segments
D) Transversal
Answer:
A(parallel
I hope this helps you
Is it true that Terms with no variables are like terms?
Answer:
yes
Step-by-step explanation:
Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent one-fifth of the re mb ainig money on a video game. Which expreesion represents the amount he spent on the video game _,_,_,_
The question is incomplete.
Complete Question
Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?
(0.20 - 10) dollars
(0.20 - 50) dollars
(0.160 + 10) dollars
(0.160 - 10) dollars
Answer:
(0.160 - 10) dollars
Step-by-step explanation:
Let the total number of earnings be represented by d
Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank
Amount in the bank = 20% of d = 0.20d
He paid back $50.00 to his father.
The amount left = 1d - 0.20d = 0.80d
He paid back his father
Hence:
= (d - 0.20d) - $50
= 0.80d -$50.00
He spent one-fifth of the remaining money on a video game.
The amount remaining
= 0.80d -$50.00
Hence, the amount he spent on video games =
1/5(0.80d - $50.00)
(0.16d - $10.00)
= (0.16d - 10)
= (0.16 - 10) dollars
work out the input for this function machine
Answer:
Answer is 12 isnt it
Step-by-step explanation:
12×4=48
48+9=57
Im supposed to solve this equation using logarithms but I don't know how.
Given:
[tex]3(4^x)=5^(x+1)[/tex]
To find:
The solution of the given equation.
Solution:
We have,
[tex]3(4^x)=5^(x+1)[/tex]
It can be written as
[tex]3((2^2)^x)=5^(x+1)[/tex]
[tex]3((2^{2x})=5^(x+1)[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
Taking log on both sides.
[tex]\log [3((2^{2x})]=\log 5^(x+1)[/tex]
[tex]\log 3+ \log ((2^{2x})=\log 5^(x+1)[/tex] [tex][\because \log (ab)=\log a+\log b][/tex]
[tex]\log 3+ 2x\log 2=(x+1)\log 5[/tex] [tex][\because \log x^n=n\log x][/tex]
Putting values of logarithms, we get
[tex]0.477+ 2x(0.301)=(x+1)0.699[/tex] [tex][\because \log 2 =0.301, \log 3=0.477, \log 5=0.699][/tex]
[tex]0.477+ 0.602x=0.699x+0.699[/tex]
[tex]0.602x-0.699x=0.699-0.477[/tex]
[tex]-0.097x=0.222[/tex]
Divide both sides by -0.097.
[tex]x=\dfrac{0.222}{-0.097}[/tex]
[tex]x=-2.288656[/tex]
[tex]x\approx -2.289[/tex]
Therefore, the value of x is -2.289.
2) A big league pitching coach tries to limit his pitchers to 110
pitches per game. If the pitcher has already thrown 52
pitches, write and solve an inequality to find how many more
pitches he can throw before reaching the limit.
Allison can sew three scarves in 75 minutes how many scarves can she sew in 4 hours?
Answer: 9
Step-by-step explanation:
I think this is the answer based off a estimate
PROBLEM SOLVING The profit P (in millions of dollars) for a shoe manufacturer can be modeled by P= -21x3 + 46x where x
is the number (in millions) of shoes produced. The company now produces 1 million shoes and makes a profit of $25 million, but it
would like to cut back production. What lesser number of shoes could the company produce and still make the same profit?
Answer:
Step-by-step explanation:
at 700,200 shoes there is also a 25 million dollar profit
Help immediately!!!!! Question: select all the intervals where g is increasing.
Answer:
It is said that g is increasing when the slope is positive.
We see a positive increase or a positive concavity at -inf to -3Thats not an answer choice so the answer is None of the aboveAria borrowed some money from her friend in order to help buy a new video game
system. Aria agreed to pay the friend back some amount every week until her loan
was paid off. An equation representing the amount Aria owes her friend after t weeks
is L = -25t + 100. What is the x-intercept of the equation and what is its
interpretation in the context of the problem?
Answer:
t is the x-intercept
and it represents the weeks
Step-by-step explanation:
Answer: 4 is the x intercept for the number of weeks until loan is paid off
Step-by-step explanation:
Solve the equation: [tex]5^x^(^x^-^1^)=1[/tex]
The concept:
We are given the equation:
[tex]5^{x(x-1)} = 1[/tex]
Which can be simplified as:
[tex]5^{x^{2} - x} = 1^{1}[/tex]
Since any number to the power '0' is 1
x² - x must be equal to 0 for the given equation to be true
Solving for x:
x² - x = 0
x(x-1) = 0
now, we can divide both sides by either x OR x-1
So we will see what we get for either choice:
x = 0/(x-1) x-1 = 0/x
x = 0 x = 1
Hence, the value of x is either 0 or 1
I dont understand this can someone plz explain.
the answer is A but how is it A?
Answer:
Step-by-step explanation:
here is what I think logically is going on.. and does this happen to be some kind of computer sciency class question? b/c this seems like a primer for Boolean logic.. ask your teacher that question :D .. see if he knows :P anyway.. soooo by subtracting 4 reds.....
R R B B B our starting chips ( the letters represents the the chips below)
OOOOO subtracting one red changes the next black to a red.. I think
R R R B B (-1)
OOOOO subtract one more red changes the next black to a red
R R R R B (-2)
OOOOO subtract one more red
R R R R R (-3)
OOOOO subtract one more and they all fip ..
B B B B B (-4)
OOOOO
This is a bit like a binary counter.. :/ why are you learning this :D
A. −1≤x<0
B. 1≤x≤2
C. 0
D. −1≤x≤5
Answer: C
Step-by-step explanation:
Simplify: 3(2x+7)-2(x+5)
Answer:
=4x+11
Step-by-step explanation:
Answer:
4x - 11
Step-by-step explanation:
3(2x+7)-2(x+5)
6x + 21 - 2x - 10
combine like terms
4x - 11
Hope this helps!!
please can someone help me with this?
Point A is at (0,0). This is the origin.
To move to A'(5,2), we will do two things:
shift 5 units to the rightshift 2 units upThis will have (0,0) move to (5,2).
Points B,C, and D follow the same steps to get what the diagram shows. This is why the entire figure moves 5 units to the right and 2 units up. Everything is in lock-step with each other. This keeps the same shape and size.
If you want to use symbols, then you can describe the translation rule as [tex](x,y) \to (x+5, y+2)[/tex]. We add 5 to the x coordinate to shift 5 units to the right, and we add 2 to the y coordinate to shift 2 units up.
DOES ANYONE KNOW THIS??
Answer:
49-9i²
Step-by-step explanation:
(7+3i)(7-3i)
expand the brackets
49-21i +21i -9i²
49-9i²
What is a secure line of credit?
A)A line of credit offered only to individuals with excellent credit ratings.
B)A line of credit offered to a business or corporation.
C)A line of credit backed by the government.
D)A line of credit backed by collateral.
Answer:
It's D. A line of credit backed by collateral.
Step-by-step explanation:
Just took the test and got it right.
the secure line of credit is:
D)A line of credit backed by collateral.
What is Collateral?Collateral is an item of value pledged to secure a loan. Collateral reduces the risk for lenders. If a borrower defaults on the loan, the lender can seize the collateral and sell it to recoup its losses. Mortgages and car loans are two types of collateralized loans.
A revolving loan that can be utilized for any purpose is known as a line of credit (LOC). Up to a maximum amount determined by the lender, the borrower may draw from the line of credit at any moment, pay it back, and then borrow again.
There are substantial variations between secured and unsecured lines of credit, including the interest rate that the borrower must pay.
Collateral, such as a house, serves as the guarantee for a secured line of credit.One example of an unsecured line of credit is a credit card, which is not backed by any assets.Because it is riskier for lenders, unsecured credit always has a higher interest rate.Therefore, the secure line of credit is:
D)A line of credit backed by collateral.
Learn more about collateral here:
https://brainly.com/question/6779619
#SPJ6
Is (3,4) a solution to the system of
equations.
X + y = 7
x - 2y = - 5
Answer: Yes, the point (3,4) is a solution to the system.
===================================================
Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
Which ordered pair is a solution of the equation?
y = -6x+1
Answer:
2,-11
Step-by-step explanation:
create an x/y table and plug in #s for ordered pairs
-6x + 1 = y [plug in 2 for x]
-12 + 1 = -11 [ordered pair is 2, -11]
Answer:
Both (-2, 13) and (-1, 7)
Step-by-step explanation:
Got it from Khan
Write a polynomial function of least degree with real coefficients in standard form that has the given zeros. –2, –4, –3 + 4i
Given:
Zeroes of a polynomial are –2, –4, –3 + 4i.
To find:
The polynomial function of least degree with real coefficients in standard form.
Solution:
According to the complex conjugate root theorem, if a complex number a+ib is a zero of a polynomial, then its conjugate a-ib is also a zero of than polynomial.
–3 + 4i is zero of the polynomial. So, by complex conjugate root theorem -3-4i is also a zero of required polynomial.
If c is a zero of p(x), then (x-c) is a factor of p(x).
–2, –4, –3 + 4i, -3-4i are zeroes of the polynomials. So, (x+2), (x+4), (x+3-4i), (x+3+4i) are the factors of the required polynomial.
Let the required polynomial be p(x), so
[tex]p(x)=(x+2)(x+4)(x+3-4i)(x+3+4i)[/tex]
[tex]p(x)=(x^2+4x+2x+8)((x+3)^2-(4i)^2)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16i^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16(-1))[/tex] [tex][\because i^2=-1][/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+9+16)[/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+25)[/tex]
[tex]p(x)=x^2(x^2+6x+25)+6x(x^2+6x+25)+8(x^2+6x+25)[/tex]
[tex]p(x)=x^4+6x^3+25x^2+6x^3+36x^2+150x+8x^2+48x+200[/tex]
Combining like terms, we get
[tex]p(x)=x^4+(6x^3+6x^3)+(25x^2+36x^2+8x^2)+(150x+48x)+200[/tex]
[tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex]
Therefore, the required polynomial is [tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex].
The city plans to extend the Wildflower Tral to make it 2 ½ times its current length in the next 5 years. How long will the Wildflower Trail be at the end of 5 years?
Answer: 5¹⁵/₁₆
Step-by-step explanation:
The Wildflower Trail is currently 2³/₈ miles long.
If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;
= 2³/₈ * 2¹/₂
= 19/8 * 5/2
= 95/16
= 5¹⁵/₁₆
A card is drawn from a
standard, well-shuffled
deck of 52 cards.
What is the probability that
it is a face card (J, Q, or K)?
Write an equation of the line that passes through (-2,3) and (0,8).
Answer: y = 5/2 x + 8
Step-by-step explanation:
Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2
y = 5/2 x + b
8 = 5/2 (0) + b
8 = b
y = 5/2 x + 8
The distance AB rounded to the nearest tenth = [ ? ]
Answer:
4.5 units
Step-by-step explanation:
To get the distance we need the coordinates of the points
A is ( 3,1)
B is (-1,-1)
Let A be (x1,y1) and B be (x2,y2)
So applying the formula, we have the distance as;
D = √(-1-3)^2 + (-1-1)^2
D = √(16 + 4)
D = √20
D = 4.5 units
What is the solution to -(6 m + 8) = 4(17 - m)?
Answer:
m=-38
Step-by-step explanation:
The answer is m 38. hope this helps
Before Cam broke his right arm, he was able to type 9 words per minute on his phone. After he broke his arm, he had to use his left hand for a while, and he could only type 6 words per minute. What is the difference between the number of words he could type in 5 minutes before and after he broke his arm.
Answer:Before he broke his arm: 45 words in 5 minutes
After he broke his arm: 30 words in 5 minutes
9*5=45 6*5=30
Hope this helps... mark as Brainliest plz
Step-by-step explanation:
On a trip last summer, I used 20 gallons of gas to travel 600 miles. At this rate, how much gas
would I need to go 1500 miles?
Answer:
45,000
Step-by-step explanation:
You should divide 20 by 600 to see how many miles he would run per mile
and you take 30 x 1,500 to get your answer
If the perimeter of a rectangle is 34 cm and the area is 60 square cm, then what are the dimensions of the
rectangle?
Answer: 12 by 12 by 5 by 5
Step-by-step explanation: 12*5 = 60
12+12+5+5
=34
-
What is the slope of the line Perpendicular to y = -x- 10
-4
04
o
o Zero
Need help
Answer:
A. -4
Step-by-step explanation:
Perpendicular lines have negative slopes
so you would have to flip the fraction and change the sign
so 1/4x = -4/1x or -4x
help is much appreciated!!
Find the value of T.
A. 12 B. 5 C. 4 D. 16