Answer:
y = 5/3x - 3 and y = 1/2x - 10
Step-by-step explanation:
A. -5x + 3y = -9
In order to go from standard to slope-intercept form, we want to isolate y on the left side. We start by adding 5x to both sides:
3y = -9 + 5x
Next, we divide both sides by 3:
y = (-9 + 5x)/3
And then distribute:
y = -9/3 + 5x/3
And finally simplify:
[tex]y = -3 + \frac{5}{3}x[/tex]
And move the numbers on the right to fit the form y = mx + b:
[tex]y = \frac{5}{3}x-3[/tex]
B. -x + 2y = -20
In order to go from standard to slope-intercept form, we want to isolate y on the left side. We start by adding x to both sides:
2y = -20 + x
Next, we divide both sides by 2:
y = (-20 + x)/2
And then distribute:
y = -20/2 + x/2
And finally simplify:
[tex]y = -10 + \frac{1}{2}x[/tex]
And move the numbers on the right to fit the form y = mx + b:
[tex]y = \frac{1}{2}x - 10[/tex]
Question 1 of 10
f (2) = y + 10. Find the inverse of f(x).
O A f-'(x) = (x + 10)
O B. f-1(x) = 73 + 10
O C. f-1(x) = (x – 10)3
O D. f-'(x) = x3 – 10
Option D
step by step explanation:
[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]
The inverse of the given function is represented as f' ( x ) = x³ - 10
What is Function Rule?A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.
Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.
Given data ,
Let the function be represented as A
Now , the value of A is
Now , the function is depicted as f ( x ) = ∛( x + 10 )
Simplifying results in
The function's inverse is obtained by swapping the x and y variables.
So ,
y = ∛( x + 10 )
x = ∛( y + 10 )
On solving for y , we get
y = x³ - 10
And , the inverse is f' ( x ) = x³ - 10
The function is therefore f' (x) = x³ - 10.
Go here to read more about the function rule.
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An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?
Answer:
10 times for each number
Step-by-step explanation:
:)
Answer:
10
Step-by-step explanation:
if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.
What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST
Write the equation of the line in slope intercept form
Slope =−1/5 Y-Intercept =−3
Answer:
y = mx + c ......( general form)
y = -1/5X - 3
A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.
Answer:
30 dinner rolls
Step-by-step explanation:
There are 5 dinner rolls per basket and there are 6 baskets
So there are 6 groups of 5:
5 + 5 + 5 + 5 + 5 + 5
In other words, multiply 5 and 6
5 dinner rolls x 6 = 30 dinner rolls
an oven has a maximum temperature of 220°c.what will it be in 2 days time
Answer:
Well I assume 220ºC.
Step-by-step explanation:
That is the MAXIMUM temperature of the oven
Solve the Quadratic
Solve for x. Write in simplified radical form.
2x^2 + 3x – 20 = 0
Solution 1:
Solution 2:
~quadratic equation
======================
2x² + 3x - 20 = 0
= a + b = 3
= ab = 2(-20) = -40
= a = -5
= b = 8
= (2x² - 5x) + (8x - 20)
= x(2x - 5) + 4(2x - 5)
= (2x - 5) (x + 4)
= Solution 1 : x = 5/2 ✔️
Solution 2 : x = -4 ✔️
~ nice to help you ^^
[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]
Natasha earns $425 a week. How many weeks does it take before she has
earned more than $12, 000
Answer:
29
Step-by-step explanation:
12000/425
Need all of these answered please
alternate entireror angles are congurent by this rule you can find your answer by solving the equation
7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?
(North Carolina Math 2)
A. $502 B. $512 C. $515 D. $525
Answer:
The answer is A
Step-by-step explanation:
0.2% of 500 is 1 so in two year she would have 502$
Question
Given that the market basket for gardening was $\$131.17$ last year and $\$131.96$ this year, what was the inflation rate?
(Round your answer to the nearest hundredth of a percent.)
Answer:
0.006%
Step-by-step explanation:
minused old price from the new one and then divided the answer by the old price
Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.
Answer:
79.04 liters
Step-by-step explanation:
20.8 x 3.8 = 79.04
Please help me and give explanation on how you got your answer if not that’s fine
These points are linear.
Find the slope.
M=?
Answer:
Step-by-step explanation:
(5, 0) (6, 8)
(8 - 0)/(6 - 5) = 8/1 = 8
2. If (2, 3) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the inverse
of F(x)?
Answer Choices:
(3, 2)
(-2,-3)
(2,3)
(-3,-2)
Answer:
Inverse: (3, 2)
Step-by-step explanation:
Given the point, (2, 3), as an ordered pair of the function, f(x):
Since we know that for any functions, there is a one-to-one correspondence between each domain and range values. Conversely, each range value also corresponds to one domain value.
The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.
Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).
What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?
Answer:
I will cryy because I only want to write 78 why it recorded as 98
How many solutions for
55l=50l+5
Answer:
Zero
Step-by-step explanation:
The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.
Which number should be multiplied by 45 so that it will have 3 nct prime factors?
Answer:
2
Step-by-step explanation:
Consider the set {7,8,9; the elements of this set include?
a. 7,8,9
b. 9, 10, 11
c. none of these
Answer:
The correct answer is "Option A".
Step-by-step explanation:
Hope this helps :)
At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.
Answer:
At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.
Step-by-step explanation:
Express 24 minutes as a fraction of 2'/2 hours.
Step-by-step explanation:
1hr = 60
½ hr = 30
60 + 30 = 90
How do I do this math !
Answer:
The equation of a straight line is always
[tex]y=mx+b[/tex]
The constant m always refers to the slope, and the constant b always refers to the y-intercept.
Simply substitute the numbers in:
[tex]y=-\frac{1}{2}x+3[/tex]
There's your equation!
Crafts Unlimited sells ribbon by the foot. Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay?
How do you know?
The completed ratio chart is provided below:
Feet of Ribbon 1 5 10 15
Cost $0.60 $3 $6 $9
The amount Serena would get if she has $12 is 20 yards.
The amount Serena would pay if she wants 17 feet of the ribbon is $10.20.
The first step is to determine the unit cost of a ribbon.
Unit cost of a ribbon = $3 / 5 = $0.60
The cost of 10 feet of the ribbon = $0.60 x 10 = $6
The cost of 15 feet of the ribbon = $0.60 x 15 = $9
The feet of ribbon Serena can buy if she has $12 = $12 / $0.60 = 20 yards.
The cost of 17 feet of the ribbon = $0.60 x 17 = $10.20
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An unopened bag of gummy bears weighs 2 1/3 ounces. Drayven has 3/4 of a bag of gummy bears and Akila has 2/3 of a bag. Who has more? If they put their bags together, would they have more than one bag? Explain your answer.
Answer:
Drayven has more
Step-by-step explanation:
If you look at the fractions through a drawing you would see that my claim is correct.
Write an algebraic expression for the verbal expression: "7 times the sum of a squared and b minus 4 times the sum of a squared and b".
The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?
Suppose you are reviewing your cell phone bill on Friday and you notice you go over your data limit 49% of the time. You
review the weather forecast for tomorrow that says there is a 11% chance of rain. Assuming rain and going over in data are
independent events, what is the probability that it rains and you go over in data tomorrow? Give your answer as an exact
fraction and reduce the fraction as much as possible.
Probability that it rains and you go over in data tomorrow = 0.0539
Percentage of time it takes to go over your data limit = 49%
Probability that you go over your data limit, P(data) = 49/100
P(data) = 0.49
The chance that it rains tomorrow = 11%
Probability that it rains tomorrow, P(rain) = 11/100
Probability that it rains tomorrow, P(rain) = 0.11
Probability that it rains and you go over your data tomorrow = P(rain) x P(data)
Probability that it rains and you go over in data tomorrow = 0.11 x 0.49
Probability that it rains and you go over in data tomorrow = 0.0539
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help me please !!!!!!
KS3 YEAR 8 maths!
super confused ♀️♀️
Answer:
9:29pm
Step-by-step explanation:
There are m marbles in a bag. Write an expression for the number of marbles in the bag when 4 marbles are taken away
Answer:
m-4
Step-by-step explanation:
4 marbles taken away = -4 marbles
dont sound so smart doing it she will know
Jeremy is incorrect because a negative plus a negative will always be a negative.