Answer:
[tex]y = 3(x +21)[/tex]
Step-by-step explanation:
Find the inverse this equation:
[tex]f(x) = (\frac{1}{3}x) - 7[/tex]
-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both
[tex]y = (\frac{1}{3}x) - 7[/tex]
-Switch both variable [tex]x[/tex] and [tex]y[/tex] :
[tex]y = (\frac{1}{3}x) - 7[/tex]
[tex]x = (\frac{1}{3}y) - 7[/tex]
-Solve for [tex]y[/tex] :
[tex]x = (\frac{1}{3}y) - 7[/tex]
-Switch sides:
[tex]\frac{1}{3}y - 7 = x[/tex]
-Add both side of the equation by [tex]7[/tex] :
[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]
[tex]\frac{1}{3}y = x + 7[/tex]
-Multiply both sides by [tex]3[/tex] :
[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]
[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]
-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]
[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]
[tex]y = 3(x +21)[/tex]
Therefore, the answer is [tex]y = 3(x +21)[/tex].
1. Write 58,927 in scientific notation.
Hint: move the decimal 4 places.
2. Write 1,304,000,000 in scientific notation
Hint: move the decimal 9 places.
Answer:
58,927= 5.8927
1,304,000,000= 1.304
Identify the property of real numbers illustrated in the following equation.
6x + (-6x®) = 0
Answer:
Inverse property of addition is what I think.
Step-by-step explanation:
Evaluate 4/3
please help!
Answer:
1.33333333333
Step-by-step explanation:
A line with a slope of 1/7 passes through the points seven and one what is it equation in slope intercept form
Answer:
y=1/7x
Step-by-step explanation:
Plug into Point slope form:
y - 1= 1/7( x -7)
y -1 = 1/7 x -1
y -1 +1 = 1/7x -1 +1
y= 1/7x
Which of the following is a factor of 10x + 5?
A. 5
B. 10
C. х
D. 5x
Based on our analysis, options A and D are factors of 10x + 5. Therefore, the correct answers are: A. 5 and D. 5x
To determine which of the given options is a factor of 10x + 5, we need to check if the option can be divided evenly into 10x + 5.
Let's go through each option:
A. 5: Yes, 10x + 5 can be divided evenly by 5, as (10x + 5) ÷ 5 = 2x + 1.
B. 10: No, 10x + 5 cannot be divided evenly by 10, as 10 is greater than 10x + 5.
C. х (x): No, 10x + 5 cannot be divided evenly by x, as x is a variable and cannot be factored out completely.
D. 5x: Yes, 10x + 5 can be divided evenly by 5x, as (10x + 5) ÷ 5x = 2 + (1/x).
Based on our analysis, options A and D are factors of 10x + 5. Therefore, the correct answers are: A. 5 and D. 5x
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prove using multiple formula
cos 70 - cos 10 + cos 50 = 0
[tex]x(x^2+8)=8(x+1)[/tex]x(x^2+8)=8(x=1)
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]
Expand:
[tex]x\times x^2+8x=8x+8\times 1[/tex]
[tex]x^3+8x=8x+8[/tex]
Subtract 8x from both sides:
[tex]x^3+8x-8x=8x+8-8x[/tex]
[tex]x^3=8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]
[tex]x=2[/tex]
A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people. Function B gives the amount of money that the bus operator earns when n people ride the bus.
The minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
A small bus charges $3.50 per person for a ride from the train station to a concert.
The maximum capacity of the bus to carry the passengers is 10.
The minimum capacity of the bus to carry the passengers is 3.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Thus the value of 'n' is restricted between 3 to 10.
Therefore,
In general, the amount of money that the operator earns when n people ride the bus is given by the expression.
[tex]\rm{Amount}= \$3.5n[/tex]
The above amount can have minimum and maximum values.
Thus, the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
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-3(2y+4) is greater that equal to 12-4y
Answer:
y is less than or equal to -12
y<=-12
Step-by-step explanation:
Answer:
y≤12
Step-by-step explanation:
-3(2y+4)≥12-4y
-6y-12≥12-4y
-6y+4y≥12+12
-2y≥24
-2y÷2≤24÷2 (You have to flip the sign if you multiply or divide by a negative number)
y≤12
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months ( ) m does the zookeeper need to wait for the two snakes to be the same length? a. Write the question or problem statement for the situation. _______________________________________________________________________________ _______________________________________________________________________________ b. Write the general form of the equation. _______________________________________________________________________________ c. Write the verbal and variable expression for the left side of the equation. _______________________________________________________________________________ d. Write the verbal and variable expression for the right side of the equation. _______________________________________________________________________________ e. Write the final algebraic equation with variables on both sides. Include what the variable represents in the problem. Include appropriate units. ____________________________________________________________
Answer:
see below
Step-by-step explanation:
a. We want to see when the two snakes will be the same length.
b. b1 + r1m= b2 + r2m where b is the initial length and m is the number of months and r is the growth rate
c. for the anaconda 5.23 + 1.27 m where m is the number of months, and the total length is in meters
The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months
d. for the python 4.76 + 2.04m where m is the number of months, l is the length of the python in meters
The python starts at 4.76 meters and grows 2.04 meters each month for m months
e. 5.23 + 1.27 m = 4.76 + 2.04m m is the number of months Each side is the number of meters
What is the greatest common
factor of the following three
numbers?
12, 18,32
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
Which shows a set of three equivalent decimals? 0.8, 0.08, 0.800 0.8, 0.80, 0.800 8.0, 0.80, 0.800 8.0, 8.00, 0.800
Answer:
they are all equivilent
Step-by-step explanation:
Answer:
B. 0.8, 0.80, 0.800
Step-by-step explanation:
The temperature was -6°F. It rose so that the temperature was 0°F. What integer represents the change in temperature?
Answer:
f + 6
Step-by-step explanation:
Solve the equations
Y=2x-4, 3x+y=1
Step-by-step explanation:
[tex]y = 2x - 4[/tex]
[tex]3x + y = 1[/tex]
[tex]y = 1 - 3x[/tex]
Equating,
[tex]2x - 4 = 1 - 3x[/tex]
[tex]2x + 3x = 1 + 4[/tex]
[tex]5x = 5[/tex]
[tex]x = 1[/tex]
Placing it,
[tex]y = 1 - 3( 1)[/tex]
[tex]y = 1 - 3[/tex]
[tex]y = - 2[/tex]
Q.)A computer chooses a number between 1 and 1000. If the number is even how many outcomes are possible?
*I know the answer is 500 but I want to know how you get 500. *
Answer:
The answer is 500 because every other number is even. In other words, half of the numbers are even. Half of 1000 is 500.
Is that how you got the answer?
8. The students were looking at their debts, Holmes is in $90,00 of debt.
Reyes has $67.00 of debt. Dixon has $79.00 of debt. Hunter has a positive
bank balance of $100.00. Who owes the most money?
Please help me
y = -1/3x + 2
y = 3x - 5
find x
x- 3 = 2 - 3
Answer:
x=2
Step-by-step explanation:
x-3=2-3
+3 +3
x=2
the 3 is being canceled out by the positive, because 3-3=0 therefore it's just canceled out, leaving you with x=2.
la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es la edad de beatriz ?
Answer:
La edad actual de Beatriz es de:
30 años
Step-by-step explanation:
Planteamiento:
5e = 4b
(e+3) + (b+3) = 60
e = edad actual de José
b = edad actual de Beatriz
Desarrollo:
de la segunda ecuación del planteamiento:
e + b + 6 = 60
e + b = 60 - 6
e + b = 54
e = 54 - b
sustituyendo este último valor en la primer ecuación del planteamiento:
5(54-b) = 4b
5*54 + 5*-b = 4b
270 - 5b = 4b
270 = 4b + 5b
270 = 9b
b = 270/9
b = 30
e = 54 - b
e = 54 - 30
e = 24
Comprobación:
5e = 4b
5*24 = 4*30 = 120
8 (2x - 3) – 6x
What is the answer
Answer:
10x-24
Step-by-step explanation:
16x-24-6x
10x-24
Answer:
-24
Step-by-step explanation:
simpfly the expression -8x-4=-10
Answer:
x = 3/4 would be the correct answer.
Step-by-step explanation:
Add four to both sides
Divide both sides by -8
Simplify 6/8 to 3/4
Convert this rational number
to its decimal form and round
to the nearest thousandth.
7/8
Answer:
.875
Step-by-step explanation:
A student walked for 30 minutes at an average speed of 18 meter/min. What is the student’s distance traveled?
-:---:--
0.17 meters
9 meters
54 meters
540 meters
Solve S=BC-8 for B
..
Answer:B = S C + 8 C
I BET NO ONE KNOWS THIS QUESTION which of the following is a social norm?
A. Stopping at a red light in an intersection
B. Caring for an elderly neighbor by pulling her weeds once a week
C. A group of hispanic families who choose to live in the same neighborhood or community
D. All the choices are correct
Answer:
D. All the choices are correct
I think that's the right answer, if it isn't than my bad!!
Jasmine spends exactly £120 on three types of plants: poisoned ivy, deadly nightshade and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each and triffids cost £12 each. She buys twenty plants in total, including at least one of each type. How many triffids did she buy?
Answer:
9/5
Step-by-step explanation:
2×9×12=216 so216/120 =9/5
Jasmine bought approximately 4 triffids.
We have,
We know that Jasmine bought a total of twenty plants and that she purchased at least one of each type.
Let's assume she bought x triffids.
From the given information, we can determine the number of poison ivy plants and deadly nightshade plants she bought:
Number of poisoned ivy plants = Total plants - (Number of deadly nightshade plants + Number of triffids)
Number of poisoned ivy plants = 20 - (1 + x) = 19 - x
Number of deadly nightshade plants = Total plants - (Number of poisoned ivy plants + Number of triffids)
Number of deadly nightshade plants = 20 - (1 + (19 - x)) = 20 - (20 - x) = x
We can now set up an equation based on the total amount Jasmine spent:
Total cost = (Number of poisoned ivy plants * Cost per poisoned ivy plant) + (Number of deadly nightshade plants * Cost per deadly nightshade plant) + (Number of triffids * Cost per triffid)
£120 = (19 - x) * £2 + x * £9 + x * £12
Simplifying the equation:
£120 = £38 - £2x + £9x + £12x
£120 = £38 + £19x
£82 = £19x
Dividing both sides of the equation by £19:
£82/£19 = x
x ≈ 4.32
Since we can't have a fractional number of plants, we'll round down to the nearest whole number.
Therefore,
Jasmine bought approximately 4 triffids.
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The complete question:
Jasmine spent a total of £120 on buying three types of plants: poisoned ivy, deadly nightshade, and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each, and triffids cost £12 each. She bought a total of twenty plants, ensuring that she purchased at least one of each type.
How many triffids did Jasmine buy?
The temperature on an outdoor thermometer on Monday was 10.7 °C. The temperature on Thursday was 3.95 degrees less than the temperature on Monday. What was the temperature on Thursday?
Answer:
6.75
Step-by-step explanation:
just do 10.7-3.95
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
u+xy=18+(-10)8
=18-80
= -62
Billy borrowed $400 from his friend Tommy to get his truck fixed. The next time he got paid, Billy paid Tommy back $100, then agreed to pay $25 a week until his debt was paid off. 1.Write a linear equation to represent the amount of money m Billy owes Tommy after w weeks. 2.How long will it take Billy to pay off his debt to Tommy?
Answer:
(400 - 100) / 25 = 12
Step-by-step explanation:
Billy gives Tommy 100, so we can subtract $100 from $400, giving us 300. Then to undertand how many weeks it will take Billie to pay Tommy, we divide 300 by 25, and get 12.
Hope this helps!
Answer:
( 400 - 100 )
Step-by-step explanation:
Have a nice day <3
There is a 40% chance of rain on Tuesday and a 50% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answer:
You will submit your completed work from the "Explore: Famous People" assignment here. Type or copy/paste your response directly into the space provided.
As a reminder, the activity instructions are included below:
Using Spanish resources, research a famous historical figure from a Spanish-speaking country. You may consider finding information on Miguel Hidalgo, Simón Bolívar, José de San Martín, Benito Juarez or Ferdinand and Isabel.
In 1-2 Spanish paragraphs, write a brief biography and then describe his/her important contributions. In addition, explain this person's significance in the country where he/she is from.
You will be graded on (1) evidence of research conducted, (2) appropriateness of response, and (3) overall quality of your response.
You may use outside sources (Internet, books, magazines, etc.) to gather information for this assignment. However, be sure not to copy the information directly from those sources. Copying information and presenting it as your own work is considered plagiarism and will result in a failing grade. You will need to rephrase the information into your own words and cite the source of the information you used.
Step-by-step explanation: