Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
What is 5 to the second power
Answer:
25
Step-by-step explanation:
5 times 5
5x5=25
hope this helps
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? (1 feet = 12 inches)
4x^3+52x^2+144x
solve by factoring
Answer:
4x(x^2 + 13x + 36)
Step-by-step explanation:
Multipy through to get the original value
Harriet paid $349.65 for 7 fruit trees. If each of the trees cost the same, what is the cost for one tree?
Answer:
$49.95
Step-by-step explanation:
Since each tree costs the same, we can find the individual cost by dividing the total cost by the number of trees:
349.65/7
= 49.95
So, the cost of one tree is $49.95
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%
Complete question :
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent
Answer:
1.72%
Step-by-step explanation:
Given that :
MACHINE 1:
Sales price = 990
Profit percent = 10%
The cost price of the machine (x) :
10% profit of x :
(100 + 10)% of x = 990
110% of x = 990
1.1x = 990
x = 990/1.1
x = 900
MACHINE 2:
Sales price = 1960
Loss on sale = 2%
Cost price (x) :
(100 - 2)% of x = 1960
98% x = 1960
0.98x = 1960
x = 1960/0.98
x = 2000
Total amount realized from sale = (990 + 1960) = 2950
Total cost of production = (2000 + 900) = 2900
Profit Made = (2950 - 2900) = 50
% profit:
(Profit / cost of production) * 100
(50 / 2900) * 100%
0.0172413 * 100%
profit % = 1.72
The profit made is 50
Cost price of first machine will be:
= 100/(100 + 10) × 990
= 100/110 × 990
= 100 × 9
= 900
Cost price for second machine will be:
= (100 - 2) × x = 1960
= 98% × x = 1960
= 0.98x = 1960
x = 1960/0.98.
x = 2000
The total cost price = 900 + 2000 = 2900
Total selling price = 990 + 1960 = 2950
Therefore, profit will be:
= Selling price - Cost price .
= 2950 - 2900
= 50
Read related link on:
https://brainly.com/question/17698813
In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to boys? Group of answer choices
14:26
14:40
26:40
26:14
Answer:
26:14
Step-by-step explanation:
It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.
Hope this helps
PLEASE HELPPPP ITS A GRADE
Answer:
A. It is not a function because 0 outputs multiple items
B. the domain seems to be 0,1,2,3
c.The range seems to be -2,1,2,4
Step-by-step explanation:
Taylor can clean pools at a constant rate of 25 pools per hour. What is the ratio of pools to hours?
Answer:
25:1
Step-by-step explanation:
Pools:hours25:1I hope this helps!
Answer:
2:6
Step-by-step explanation:
fist eufhuh rhbgr ncv u;hkjfn.jfmncmghlwirgihu
Graph the line passing through (4,−1) whose slope is m=43.
What is the five-number summary for this data set?
4,6, 10, 13, 18, 28, 34, 46, 50, 58
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.
Answer:
4, 10, 23, 46, 58
Step-by-step explanation:
this is easy stuff bro, did u rlly have to look this up
Why can't a whole number be irrational? Please dumb it down for me
Answer and Step-by-step explanation:
A whole number isn't irrational because it is a whole number. Confused? Most likely.
A whole number is any of the numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part. And no negatives. Example: 5, 49 and 980 are all whole numbers.
An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
These are both real numbers because they don't go through the 4th wall (of science/math)
Imaginary numbers would use i.
Pleaseeeeeeee, help meeeeeeee
kikaksyvjabsjxjjcjallalalalakjdiloveyouhahahahjss
What is the inequality solution for y+2<4
Answer:
y<2
Step-by-step explanation:
Subtract 2 on both sides
Answer:
y<2
Step-by-step explanation:
Which statement best describes the rate of change for this situation
Arrange the three numbers shown in order from least to greatest.
1. 0.67
2. 6/9
3. 6.7%
Answer:1. 6/9 2. 0.69 3. 6.7
Step-by-step explanation:i think this is correct
Answer:
It is: 6.7%, 6/9, 0.67.
Step-by-step explanation:
Convert all your numbers to decimals.
6.7% = 0.067
6/9 = 0.66... (repeating decimal)
0.67 = 0.67 (already a decimal)
Line the decimals up to make them fair to compare then order them from least - greatest.
Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.
Answer: k = 3
Step-by-step explanation:
U first expand
96 - 8k = 3k + 63
Then u add 8k from both sides
96 = 3k + 63 + 8k
then u simplify
3k + 63 + 8k to 11k + 63
then u subtract 63 from both sides
96 = 11k + 63
Then u simplify 96 - 63 to 33
33 = 11k
Then u divide both sides by 11
33/11 = k
then u simplify 33/11 to 3
3 = k
and last u switch the sides
k = 3
Write the equation of each line described in slope-intercept form (y = mx + b) with a slope of -6 and x-intercept of 4. (4,0)
Answer:
ill give u the answer if u do 73 divided by 2628
Step-by-step explanation:
angle 4 and angle 5 are ??? angles will mark brainiest
Answer:
alternate interiorStep-by-step explanation:
alternate interior angles are congruent if and only lines are parallel.
Jenny & Natasha are working on a problem together: Solve x / 3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Answer:
−2x3
Step-by-step explanation:
i sloved the equation then mulitipilied by 3
3 of 5
Simplify as far as possible without a calculator.
33(272+273)
Answer:
17,985
Step-by-step explanation:
33(545)= 17,985
A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study
Answer:
A) Matched pairs design
Step-by-step explanation:
In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
Which statement is TRUE about
V131
?
A) It lies between 12 and 13 on a number line.
B) It lies between 11 and 12 on a number line.
C) It lies between 10 and 11 on a number line.
D) It lies between 9 and 10 on a number line.
Answer:
I think the answer is B It lies between 11 and 12
Step-by-step explanation:
Felipe has a flower bed
Answer:
man thats cool
Step-by-step explanation:
Find DF
D
20
E 10 F
DF =
Answer:
30
Step-by-step explanation:
it is right
2/5 - 4 (5.4) solve
Answer: -106/5= −21.2
Step-by-step explanation: Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (108)/5 = -106/5
Serena charges $6.50 an hour to walk dogs. She worked 5 hours last week and 9.5 hours this week. How much did she make altogether in the last two weeks?
Answer:
She made 91 dollars
Step-by-step explanation:
6.50 times 5 = 32.5
6.50 times 9 =58.5
58.5+32.5=91
Answer:
Your answer is $91.00.
Step-by-step explanation:
6.50 * 5 = 32.5
6.50 * 9 = 58.5
= 91
Hope this helps!
A
B
C
D
Thanks for helping me
Write the inequality given below.
Eight less than 2 times a number is more than 12.
Answer:
Step-by-step explanation:
8-2x>12
will be nice if you give me brainlies.Good luck!
find the sum of (3a+7)+(a−1)
Answer:
[tex] \huge{ \bold{ \boxed{ \text{4a + 6}}}}[/tex]
Step-by-step explanation:
[tex] \text{ (3a + 7) + (a - 1)}[/tex]
In addition , sign of each term in the expression remains unchanged. So, Remove the unnecessary brackets.
[tex] \text{⇢ \: 3a + 7 + a - 1}[/tex]
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
[tex] \text{⇢ \: 3a + a + 7 - 1}[/tex]
[tex] \text{⇢ \boxed{ \text{4a + 6}}}[/tex]
And we're done! :D
Hope I helped!
Best regards! :D
~TheAnimeGirl
1 1/4 packages of beads to make 10 bracelets. he wants to make 25 bracelets. how many packages of beads will he use
Answer:
55/8
Step-by-step explanation:
If 11/4 packages of beads are used to make 10 bracelets;
Hence the number of packages of beads that would be used to make 25 bracelets = (11/4 × 25)/10 = 55/8 packages of beads.