Answer:
x = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 3
f(x) = 33
Step 2: Solve for x
Substitute: 33 = 4x - 3Isolate x term: 36 = 4xIsolate x: 9 = xRewrite: x = 9Write a linear function f with the values f (2) = 4 and f(-7) = 9.
I think its -5/9+5 1/9 but im not sure, help?
Answer:
f(x)=-5/9x+46/9
Step-by-step explanation:
Find the coordinates:(2,4)(-7,9)
Find the slope:
m=-5/9
Find the y-intercept:
b=46/9 (or 5 1/9)
Put it together:
You get f(x)=-5/9x+46/9
Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats
Answer:
67.28 %
Step-by-step explanation:
Given that:
Price at which the coats are bought = $28
Number of coats bought = 50
Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400
Number of coats sold at $49 each = 38
Money earned by selling 38 coats at $49 each = $1862
Number of coats left = 50 - 38 = 12
Money earned by selling 12 coats at $40 each = $480
Total money earned = $1862 + $480 = $2342
To find:
The overall profit percentage made by Mia ?
Solution:
Formula for Profit percentage:
[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]
Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %
Mikey completed 91 oil changes in his shop in 7 days how many can he do in 11 days ?
Answer:
Step-by-step explanation:
rate=91 completed/7 days=13completed/day
11days(13completed/day)= 143 completed
He can do 143 oil changes
PLEASE HURRY WITH THIS
Answer:
Step-by-step explanation:
100.5 in ^2
answer the question correctly for good luck
If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4
Find an equation connecting ‘c’ and ‘d’
Find ‘c’ when d = 8
Find ‘d’ when c = 54
Answer:
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9Step-by-step explanation:
Proportion can be defined as the effect of changing one quantity on the other.
Given that
‘c’ is directly proportional to‘d’
It can mathematically be written as:
c∝d
A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality
[tex]c =kd[/tex]
Given that
c = 24 when d = 4
Putting the values
[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]
Putting the value of k
[tex]c = 6d[/tex]
Putting d = 8
[tex]c = 6(8) = 48[/tex]
Putting c = 54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9 The graph of f (x) = x + 5 is a vertical translation 5 units
up of the graph of f(x) = x. How can you obtain the graph of
f(x) = x + 5 from the graph of f (x) = x using a horizontal
translation?
Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
[tex]\displaystyle f(x)=x[/tex]
To shift vertically n units, we can simply add n to our function. Hence:
[tex]f(x)=x+n[/tex]
So, a vertical shift of 5 units up implies that n=5. So:
[tex]f(x)=x+5[/tex]
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
[tex]f(x-n)=(x-n)[/tex]
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
[tex]f(x-1)=(x-1)[/tex]
Or:
[tex]f(x)=x-1[/tex]
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
[tex]f(x-(-5))=(x+5)\text{ or } f(x)=x+5[/tex]
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
Please help 10 pts!!
Answer: Any positive number less than 16
The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.
For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8
find the value of trignometric function:
cos 2pie÷3
cos (-450°) fast please
Step-by-step explanation:
cos2π/3 = -cosπ/3 = -0.5.
cos(-450°) = cos450° = cos90° = 0.
Permutations vs combinations(one step):
The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?
Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on cars of each make and model, based on the value of the car and how much damage it sustains in accidents. Let C be a random variable that represents the cost of a randomly selected car of one model to the insurance company. The probability distribution of C is given below. The probability that the insurance company will have to pay a claim of at least $1000 for a randomly selected car is:
Answer:
The answer is "0.35"
Step-by-step explanation:
Please find the complete question in the attached file.
In the given table the distributions of probabilities provided is a continuous spread for both the random variable c.
They need to have a cumulative chance of receiving claims of 4000 or higher to determine the probability of an insurance company ending let's give claims of at least 4000.
So, The right equation for the answer will then be [tex]0.13 + 0.22=0.35[/tex]
A store has a video game rewards program. The fee to join the program is $10 plus $3 per week. Which equation can be used to find y, the total cost that Mark will spend to join the rewards program after x weeks?
a
y = 10x + 3
b
y = 3x + 10
c
y = 3x +12
d
y = 12x + 10
What is the price of the bicycle after the discount? Do not include units ($) in your answer.
Answer:
218
Step-by-step explanation:
The high for a winter day in Sitka,
AK was 10 degrees below zero. The
low for the same day was 25
degrees below zero. What was the
range of temperatures for the day?
Answer:
The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:
T ≤ -10°C
And the minimum temperature will be -25°C, then we must have that:
T ≥ -25°C
if we use both conditions, we will have:
-25°C ≤ T ≤ -10°C
We can write this range:
[-25°C, -10°C]
Where the [] symbols mean that the extremes are possible temperatures.
The length of the range will be:
-10°C - 25°C = 15°C.
Again|||||||||||||||||||||||||||
Answer:
thank you so much have a great day!!!<3
Step-by-step explanation:
what is the y-value for the maximum/minimum of the function defined by the equation? f(x)=-x^2+32x-49
Answer:
Minimum Maximum Value is (16,207)
Max is 207
Min is 16
explain algebraic equations please
Answer:
: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
Step-by-step explanation:
includeing zero
add as brainleist plz
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
1) There are seven pencils in the drawer. Mike placed nine more pencils in the drawer.
How many pencils are now there in all ?
Answer:16
Step-by-step explanation:
7+9= 16
Answer:
16
Step-by-step explanation:
BRAINLIEST IF CORRECT 40 POINTS
The balance on a checking account is -$15. Interpret the direction and magnitude of this value.
A.The owner of the checking account is owed -$15.
B.The owner of the checking account is owed $15.
C. The checking account is overdrawn by -$15.
D.The checking account is overdrawn by $15.
Answer:
D. The checking account is overdrawn by $15.
Step-by-step explanation:
Since the balance on a checking account represents the remaining money left in that checking account, having a negative value for that would mean an overdrawing of money, or drawing more money than is in that account in the first place.
Therefore, the answer would be that the checking account is overdrawn by $15.
Hope this helped!
Natural gas high amounts of energy when burned and produces less air pollution than other fossil fuels.
true or false??
A boy walks 5 ķm at vkm/hr. He then cycles 15 km at 2v km/hr. In terms of v, write down the time taken in hours
1. When walking
2. If the total time for journey is 2h 35min, find the boy's walking speed
Answer:
The time when walking is 5/v hours
The walking speed is 4 26/31 km/hr
Step-by-step explanation:
Mathematically;
time = distance/speed
So the time taken when walking will be;
5/v
The time taken when cycling will be:
15/2v
The term 2h 35 minutes is same as 2 35/60
= 2 7/12
If we add the whole times together, we get 2 7/12
Thus;
5/v + 15/2v = 2 7/12
5/v + 15/2v = 31/12
(10 + 15)/2v = 31/12
25/2v = 31/12
12 * 25 = 2v * 31
31v = 6 * 25
v = 150/31
= 4 26/31
Solve by using elimination. Express your answer as an ordered pair.
Answer:
(-2, 5)
Step-by-step explanation:
we subtract 6x+3y=3 by 2x+3y=11 to get 4x=-8.
we divide both sides by 4 to get x. x=-2
We subsitute -2 for the second equation to get:
2(-2)+3y=11
=-4+3y=11
=3y=15
y=5
Greetings again.
The answer is (-2,5)
Explanation:
What we need to do is to eliminate either x-term or y-term. Eliminating the terms that you don't have to multiply to get the same terms for both equations is better.
For this one, there're no terms that make 0.
And what do we do if there are no terms that can be eliminated?
The answer is, multiply one of the equation by -1. To make another equation have opposite negative and positive side. -3y + 3y = 0.
I'll multiply -1 in the second equation.
[tex]2x+3y=11[/tex]
Multiply the whole equation by -1.
[tex]2x(-1)+3y(-1)=11(-1)\\-2x-3y=-11[/tex]
Remind that negative multiply positive equal negative.
Now then we replace the old equation with -2x - 3y = -11
[tex]\left \{ {{6x+3y=3} \atop {-2x-3y=-11}} \right.[/tex]
Then add/subtract vertically.
6x-2x = 4x
3y - 3y = 0
3 - 11 = -8
Therefore, we get 4x = -8
[tex]4x=-8\\x=-2[/tex]
Because this is the system of two linear equations. We need to find the y-term/value too.
Substitute x = -2 in any given equations. choose any equations you'd like to substitute in. For me, I'll substitute in the equation with less coefficient value and that is the second equation.
[tex]2x+3y=11[/tex]
Substitute x = -2 in the equation.
[tex]2(-2)+3y=11\\-4+3y=11\\3y=11+4\\3y=15\\y=5[/tex]
Thus, when x = -2, y = 5. Since you want the answer as an ordered pairs. The answer is (-2,5)
Which complex number will be located above the real axis and to the left of the imaginary axis?
A.
4i
B.
2 − 4i
C.
4i − 1
D.
-1 − 2i
Answer:
Yo dum//b butt
Step-by-step explanation:
i added u on snap cause i got a trap phone hehe so please add me backkkkkkkkk thhhhhhaaaaaaaaaaaaaaankkkkkkkkkkkkksssssssssssss
The cost of a hotel room during Nigel's trip is $180. The hotel room tax in the city he is in is 11.5%. What is the total cost of the hotel room? Round to the nearest cent if necessary.
Answer:
Step by Step:
multiply the cost by the percentage.
Then add the cost to the answer
Answer:200.70
PLZZ HELP ASAAP LIKE I NEED THE ANSWER NOW, WILL MARK BRAINLEST
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are
(2, 6)
(−2, 6)
(−2, −6)
(2, −6)
Answer:
(-2,-6)
Step-by-step explanation:
The population of cina is approximately 1.381×10^9 and the population of the united states is approximately 3.23×10^8 about how many people live in both countries combined?Express your answer in scientific notation
Answer:
The number of people living in both countries is 1.704 x 10⁹
Step-by-step explanation:
Given;
Population of people in China, = 1.381 x 10⁹
Population of people in united states, = 3.23 x 10⁸
The total number of people living in both countries is given as;
Total population = 1.381 x 10⁹ + 3.23 x 10⁸
Total population = 1.381 x 10⁹ + 0.323 x 10⁹
Total population = (1.381 + 0.323) x 10⁹
Total population = 1.704 x 10⁹
Therefore, the number of people living in both countries is 1.704 x 10⁹
2. (05.04)
18x - 6
Simplify_9x
(2 points)
1
15x + 5
21x²
Please help!!
Answer:
i cant cus i am only the age of thirteen
if you want brainliest answer correctly
what is the awnser pls help
Answer:
I think its B 216
Step-by-step explanation:
Because you multiply 12×9×2 and get 216 (I dont know if im right)
Give an example of a rational number that is NOT a whole number.
Answer:
−3, 8, 32, 7, -5
Step-by-step explanation:
4. Find the volume for a sphere with a radius of 7 cm. Round to the nearest whole number. (1 point)
O 307 cm 3
O 1,436 cm3
O 1,020 cm 3
0615 cm
5. Find the radius of a sphere with a surface area of 804 cm (1 point)
9 cm
O 8 cm
O 64 cm
204 cm
Answer:
about 1437
about 2144
Step-by-step explanation:
i looked it up on google :)
Answer:
8
Step-by-step explanation: