Answer:
3x+36=-12x+32
15x=-4
x=-4/15
Step-by-step explanation:
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What is the inverse of f(x) = 1/3x + 2 ?
A. h(x) = 1/3x + 2
B. h(x) = 1/3x - 2
C. h(x) = 3x - 2
D. h(x) = 3x - 6
Pls provide an explanation. I need help, and I will mark the person who helps me understand this Brainliest.
Step-by-step explanation:
y = ⅓x +2
⅓x = y -2
x = 3y -6
h(x) = 3x -6 (option D)
Help it’s due by 12:00
Answer:
d to c to b to a
Step-by-step explanation:
d = 1/4 or 0.25
c = 3
b = 5 or 4
a = 6
can you please help, geometry question
Answer:
x = 15
y = 12
m < AED = 83°
m < DEC = 97°
Step-by-step explanation:
According to the given problem:
< AED = (6x - 7)°
< BEC = (4x + 23)°
< AEB = (8y + 1)°
< DEC = (5y + 37)°
Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Given that < AED and < BEC are vertical angles, then it means that they have the same measure.
The same goes with < AEB and <DEC, they are also considered as vertical angles.
To solve for x:
< AED = < BEC
(6x - 7)° = (4x + 23)°
Subtract 4x from both sides:
6x - 4x - 7 = 4x - 4x + 23
2x - 7 = 23
Add 7 to both sides:
2x - 7 + 7 = 23 + 7
2x = 30
Divide both sides by 2 to solve for x:
2x/2 = 30/2
x = 15
To solve for y:
< AEB = <DEC
(8y + 1)° = (5y + 37)°
Subtract 5y from both sides:
8y - 5y + 1 = 5y - 5y + 37
3y + 1 = 37
Subtract 1 from both sides:
3y + 1 - 1 = 37 - 1
3y = 36
Divide both sides by 3 to solve for y:
3y/3 = 36/3
y = 12
To double check whether our values of x and y are correct, substitute these values into the established equality statements:
< AED = < BEC
(6x - 7)° = (4x + 23)°
[6(15) - 7]° = [4(15) + 23]°
(90 - 7)° = (60 + 23)°
83° = 83° (True statement. Therefore, x = 15 is the correct answer, and m < AED = 83°).
< AEB = <DEC
(8y + 1)° = (5y + 37)°
[8(12) + 1)° = [5(12) + 37]°
(96 + 1)° = (60 + 37)°
97° = 97° (True statement. Therefore, y = 12 is the correct answer, and m < DEC = 97°).
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One angle of a triangle measures 112°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is = 180.
The congruent angles each measure
pls help
Answer:
Each of the congruent angles is 34
Step-by-step explanation:
A = 112 A is the given angle
A + x + x = 180 A + x + x = 180 All triangles have 180 degrees
112 + x + x = 180 Combine
112 + 2x = 180 Subtract 112 from both sides
112-112 + 2x = 180 - 112 Combine
2x = 68 Divide both sides by 2
2x/2 = 68/2
x = 34
Suppose the interest rate is 4%. a. Having $200 today is equivalent to having what amount in one year? b. Having $200 in one year is equivalent to having what amount today? c. Which would you prefer, $200 today or $200 in one year? Does your answer depend on when you need the money? Why or why not?
(a) $200 today is equivalent to having $208 in one year with 4% interest rate.
(b) $192.31 today would be equivalent to $200 in one year with 4% interest rate.
(c) true
Explanation:
(a) since simple interest is given as:
I = p x r x t/100
Where p = the principal amount
r = interest rate
t = number of years
Now, from the question our principal is $200 since we are to calculate the interest on it, and our rate is 4% as obvious from the question and as well as our time is 1year. Substituting these to the interest formula we get:
I = 200 x 4 x 1/100
And that gives $8 as the interest, therefore in one year the amount we shall have will be: $200 + $8 = $208
(b) assuming we have 200 as the amount, we have now, we can get the principal we had last year at 4% interest with the following
A = p(1 + rt/100)
Now our amount is assumed to be $200 for 1year at 4% interest rate, therefore we have:
200 = p(1+4 x 1/100)
This gives
200 = p x 1.04
which gives
200/1.04 = p
p = $192.31(to the nearest cents)
(c) The statement is obviously true, because the amount we buy things today are more expensive than the amount we bought them in previous years, so having $200 today is preferable because the interest on it is just so small and would be a waste of resources.
Zoe played soccer for 12 years before she retired. She trained twice a week every year (52 weeks) for her entire career. How many training sessions did she go to? Please show your work.
Answer:
Zoe had 312 training sessions.
Step-by-step explanation:
First: divided 52 by 2
Second: multiply 26 and 12.
Dan is buying pencils and erasers from the store. Pencils come in packages of 6, but erasers are sold in packages of 9. If Dan wishes to purchase the same number of pencils as erasers, what is the smallest number of erasers that he can buy?
Answer:
6
Step-by-step explanation:
9+9=18 pencil
6+6=12 erasers
Three consecutive integers have a sum of 78. Find the integers
Let the numbers be x, x+1 and x+2 .
Equation :-
=> x+(x+1)+(x+2)=78
=> x+x+1+x+2=78
=> 3x+3=78
Subtract 3 from both sides..
3x=75
Divide both sides by 3 .
x=25
The three consecutive integers are
x , x+1 and x+2..In the place of x replace 25
∴ 25 , 26 and 27 are the three consecutive integers.
Given : Three consecutive integers have a sum of 78. Find the integers
Solution : Let's assume that the variable be x
The first one be x itself. Now, as it's consecutive the number should be increased by 1. So, let the second one be x + 1. As we know again it will be increased by 1. Hence, the third one be x + 1 + 1 i.e. x + 2
So, we got all the three now let's proceed
The result is 78
x + x + 1 + x + 2 = 78 3x + 3 = 78Taking 3 as common on the RHS of the equation
3(x + 1) = 78 x + 1 = 78/3 x + 1 = 26x = 26 - 1 x = 251st number = x = 25
2nd number = x + 1 = 26
3rd number = x + 2 = 27
NO LINKS OR ASSESSMENT!!!
Part 1: Domain and Range of Graphs
Domain:
- 5 < x < 5 or x ∈ (-5, 5)Range:
-5 < y < 5 or y ∈ (-5, 5)Function:
YES - passes the vertical line test#3Domain:
- 5 < x ≤ 5 or x∈ (-5, 5]Range:
-3 < y ≤ 2 or y ∈ (-3, 2]Function:
YES - passes the vertical line test#5Domain:
- 5 < x < 3 or x∈ (-5, 3)Range:
0 < y < 4 or y ∈ (0, 4)Function:
N0- doesn't pass the vertical line testWhich of the following is 10 times what the 5 represents in 9,235?
Please answer this question.
Answer:
use a calculator
;-;
Step-by-step explanation:
Answer:
is this 4th grade math? genuine question
Step-by-step explanation:
the answer is 11
Someone please hurry and answer number 4!!!! Will give brainliest
Answer:
25×2.50=62.5
62.5+12=74.5
hope that helps
Answer:
$74.50
Step-by-step explanation:
M = 2.50(f) + 12
M = 2.50(25) + 12
M = 74.5
What is the image point of (6, 3) after a translation right 1 unit and up 1 unit?
Answer:
Step-by-step explanation:
(6 + 1, 3 + 1) = (7, 4)
10. Write an equation to find the
value of x.
Answer:
x = (180 - 68) / 2
Step-by-step explanation:
x = 56°
Answer:
56°
Step-by-step explanation:
(180° - 68°) ÷ 2 = 112° ÷ 2
= 56°
your welcome :)
How can 38 over 6 be expressed as a decimal?
Answer:
the answer is 6.3
Step-by-step explanation:
sorry if I did it wrong
Answer:
D or the last option
Step-by-step explanation:
38/6, so 6 can go on 38 6 times, means it will be 6 times 6, which is 36. So, we can eliminate the answers A and B.
38-36 = 2, which is the left over. Now You add a decimal point and bring down a zero and make it 20. and 6 can go on 20, 3 times... 6 times 3, which is 18.
20-18= 2, so you do the same thing over and over again, the answer is 6.3
1 gal of paint in pounds
someone plz help me I am so confused
Hey there!
- 9 • (-7/3)
= - 9 × -7/3
= 63/3
= 21.
For better understanding :-
[tex] \tt- 9 \: \cdot \: ( \frac{ - 7}{3} ) \\ = \tt\frac{ - 9 \times - 7}{3} \\ = \tt\frac{63}{3} \\ = \boxed{ \tt \: 21}[/tex]
Note :-
Remember that - × - gives you +.Hope it helps ya!
0.052 x 8.17 Multiplying Decimals
(Answer and how to write it)
Answer:
0.42484
Step-by-step explanation:
place them on top of each other but the bottom one has to leave a space and put a zero in that space also go by the order of the decimal do not do 8.17 0.052 it will not give you the correct answer so they put it in a way to give you an answer. you should write it like this 0.052
x 8.170
_____
I hope this helps! If you can, can I have brainlest? I really want to level up.
How to measure body mass by using the metric system
Answer:
With the metric system, the formula for BMI is weight in kilograms divided by height in meters squared. Since height is commonly measured in centimeters, an alternate calculation formula, dividing the weight in kilograms by the height in centimeters squared, and then multiplying the result by 10,000, can be used.
Hope this helped
Step-by-step explanation:
If the individual interior angle of a regular polygon is 120, what is the exterior angle.
Answer:
60
Step-by-step explanation:
Interior and exterior angle from a linear pair.
Let the exterior angle = x
x + 120 = 180
x = 180 - 120
x = 60
An interior designer wants to decorate a newly constructed house. The function f (x) = 25x2 – 100 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g of x equals one fifth times x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points)
Part B: If the newly constructed house requires 40 hours of work, how much will the interior designer earn? Show all necessary calculations. (5 points)
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points)
F(x) = 25x² - 100
g(x) = 1/5x
{ 7 1/5x² - 100 = y
{ 1/5x = y
∴ 25 x² - 100 = 1/5x
x = 2
y = 0.4
The function for the amount of money earned, the total amount of money for 40 hours and the expression for the difference quotient are given as A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
The given function for earned money in designing house is,
f(x) = 25x² - 100
The function for number of rooms decorated is,
g(x) = x/5
PART A :
As per the problem, the the function for the amount of money made by interior designer is the product of functions f(x) and g(x) as,
A(x) = f(x)g(x)
=> A(x) = (x/5)( 25x² - 100)
=> A(x) = 5x³ - 20x
Where x represents the number of hours worked.
PART B :
If the designer works for 40 hours the amount of money earned can be obtained by substituting x = 40 in A(x) as follows,
A(x) = 5x³ - 20x
at x = 5
A(5) = 5 × 40³ - 20 × 40
= 319200
PART C :
The difference quotient for the function A(x) is given as,
(A(x + h) - A(x))/h
= (5(x + h)³ - 20(x + h) - (5x³ - 20x))/h
= (15x²h - 15xh² - 20h)/h
= 15x² - 15xh - 20
Hence, the answers for all the parts are A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.
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Triangle Proportions pls help find ? ive been trying for 20 mins
Let missing side be x
[tex]\\ \sf\longmapsto \dfrac{2}{5}=\dfrac{x}{10}[/tex]
Now
[tex]\\ \sf\longmapsto 5x=20[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{20}{5}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
Payton starts a lemonade stand for the summer. She thinks that she should be able to operate her business for 14 weeks. The table shows the expenses and revenue after 1 week.
Item Expenses Revenue
Cups $5
Lemonade $6
Ice $7
Income $45
Based on this, how much money will Payton make during the 14 weeks?
$__
Payton will make money after 14 weeks is $378.
What is income and expenses?Income is the money your business takes in and expenses are what it spends money on. Your net income is generally your revenue, or all the money coming into your business, minus all of your expenses.
For the given situation,
Item Expenses Revenue after 1 week
Number of Cups = $5
Number of Lemonade = $6
Number of Ice = $7
Total revenue, Income = $45
Formula to find the net income,
Net Income = Total Revenue - Total Expenses
⇒ Net Income = [tex]45 - ( 5+6+7 )[/tex]
⇒ Net Income = [tex]27[/tex]
Thus net income for 14 weeks = [tex]14[/tex] × [tex]27[/tex]
⇒ [tex]378[/tex]
Hence we can conclude that Payton will make money after 14 weeks is $378.
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Find the constant of variation for the direct variation y=2 when x=6 then find the value of y when x=3/4
The constant of variation is 1/3 and when x = 3/4, y = 1/4
Two variables are proportional to each other if as one variable increase or decrease, the other variable does the same.
Given that y and x have a constant variation, hence:
y ∝ x
y = kx;
where k is the constant of variation
y=2 when x=6;
2 = 6k
k = 1/3
y = (1/3)x
When x = 3/4;
y = (1/3)(3/4)
y = 1/4
Hence the constant of variation is 1/3 and when x = 3/4, y = 1/4
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Can someone help me please.
I will give brainliest to whoever gets it right.
In Joan's math class, there are 20 computers and 32 students.
What percent of students will be able to use a computer with out
sharing?
*
62.5%
32.5%
25%
66%
20/32
5/8
0.625
62.5
62.5%
x% x 32= 20; x%=20÷32: x%=.625:; x= 62.5%
Roberto took a sample of 5 recent matches for his favorite soccer team. Here is how many goals the team scored in each match: 0, 2, 1, 2, 5 Roberto found the mean was xˉ=2 goals. He thinks the standard deviation is sx =(2−2)2 + (1−2)2 +(2−2)2 +(5−2)24−−−−−−−−−−−−−−−−−−−−√ What is the error in Roberto's standard deviation calculation?
Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
The mean of the data is also known as average.
Given the set of data 0, 2, 1, 2, 5
Mean = 0+2+1+2+5/5
Mean = 10/5
Mean = 2.0
To get the standard deviation, we will use the SD formula as shown:
[tex]\sigma=\sqrt{\frac{\sum (x-\overline x)^2}{N} }[/tex]
[tex]\sigma =\sqrt{ \frac{(0-2)^2+(2-2)^2+(1-2)^2+(2-2)^2+(5-2)^2}{5}}\\ \sigma = \sqrt{\frac{4+0+1+0+9}{5}} \\\sigma = \sqrt{\frac{14}{5} }\\\sigma = 1.673[/tex]
Comparing this with Roberto's calculation, we can see that Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
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Answer:
B
Step-by-step explanation:
Leo is traveling to Canada for work. He is taking $2,400 with him that he wants to
convert to Canadian dollars. If the current exchange rate is 1 U.S. dollar is equal to
1.33 Canadian dollars, how many Canadian dollars will he have when he converts
his money?
2, 400 Canadian dollars
3,000 Canadian dollars
3,192 Canadian dollars
1,084 Canadian dollars
Answer:
C) 3,192 Canadian dollars
Step-by-step explanation:
$2,400 x 1.33 = $3,192
Solve for the unknown variable.
-4 =
d + 3
5
Answer:
d=-39
Step-by-step explanation:
-4=d+35 -35 on both sides to get d=-39
Now let's check:
-39+35=-4
Is this correct? Yes!
Hope this helps :D
Help pls show work :))))
Answer:
m/_a=4(15)
=60
Step-by-step explanation:
180-115=65
triangle=180
180=65+4y+3y+10
7y=105
y=15
Brainliest plsz