explantation
Step-by-step explanation:
it's -5y-4--(x+3)
The inverse of the function is f⁻¹ ( x ) = √(5x + 4) - 3
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
5y + 4 = ( x + 3 )²
On simplifying , we get
5y + 4 = (x + 3)²
5y = (x + 3)² - 4
Divide by 5 on both sides , we get
y = [(x + 3)² - 4]/5
Now , the inverse of the function is f⁻¹ ( x )
On interchanging x and y in the equation , we get
x = [(y + 3)² - 4]/5
On solving for y , we get
5x = (y + 3)² - 4
5x + 4 = (y + 3)²
√(5x + 4) = y + 3
Subtracting 3 on both sides , we get
y = √(5x + 4) - 3
f⁻¹ ( x ) = √(5x + 4) - 3
Hence , the inverse is f⁻¹ ( x ) = √(5x + 4) - 3
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Write the equation in slope-intercept form. -5x+15y=-30
-please help before 12:00-
Work out the following sheet
Answer: MNO is an isosceles triangle
Step-by-step explanation:
the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.
not sure how to solve the second question so maybe repost it, hope i helped :D
Expand 5(x + 6)
Anyone know the answer?
Answer:
5x+30
Step-by-step explanation:
we just open the bracket and multiply
Need help please confused
Answer:
a. 11.6 (rounded to nearest tenth)
b. Yes
Step-by-step explanation:
a²+b² = c²
6²+10² = c²
36²+100 = c²
136 = c²
√136 = √c²
11.6 = c
b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.
Solve this inequality 15n<8n-21
The solution of the inequality 15n>8n-21 is given by, n<-3.
Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.
Given that the inequality is 15n<8n-21
Solving the inequality we have,
15n<8n-21
15n-8n<8n-21-8n, subtracting from both sides
7n<-21
n<-3, dividing 7 from both sides
So the solution of the given inequality is, n<-3.
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I need help ASAP. thank you in advance!
Answer:
True, depending on where f(x) is located
Step-by-step explanation:
Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?
Answer:
10 hours
Step-by-step explanation:
380 - 80 = 300
30 : 1 = 300 : x
x = 300 / 30
x = 10
Which of The following system of equations is solved, what would be the value of the Y coordinate?
3x + 4y = 7
6x - 4y = 38
A)5
B)-5
C)2
D)-2
In ΔQRS, s = 4.2 cm, m∠R=160° and m∠S=8°. Find the length of r, to the nearest 10th of a centimeter.
Answer:
10.3 cm
Step-by-step explanation:
You want the measure of side 'r' in triangle QRS, given s = 4.2 cm, R = 160°, and S = 8°.
Law of sinesThe law of sines tells you side lengths are proportional to the sine of the opposite angle.
r/sin(R) = s/sin(S)
r = s×sin(R)/sin(S) = (4.2 cm)sin(160°)/sin(8°)
r ≈ 10.3 cm
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If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Can someone help me with this one problem?
A pool is filling with water at a rate of 45 gallons every 5 minutes,
How many gallons of water will be in the pool in one hour?
A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. What is the percentage decrease? Round you answer to the nearest whole percent.
~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~
Answer:
15 dollers per hour
Step-by-step explanation:
HOPE THIS HELPS!
BRAINLIST?????
Answer:
The fixed cost is 15 dollars an hour.
Step-by-step explanation:
At zero hours it is 15 dollars so y=5x+15
After each hour the price goes up by 5 dollars so it is 5 dollars an hour.
A sample of bacteria is growing at an hourly rate of 14% according to the continuous exponential growth function. The sample began with 7 bacteria. How many bacteria will be in the sample after 22 hours?
Answer:
125.0272
Step-by-step explanation:
7 (1.14)^22
Each hour it grows 14%. This means after 1 hour, it has grown 7*1.14. After two hours 7*1.14 (1.14) or 7*(1.14)^2, etc so after 22 hours use equation above to solve.
After 22 hours the bacteria will be 125 bacterias.
The growth rate of bacteria is given an exponential growth rate of 14%. Initially, there are 7 bacteria after 22 hours what would be the numbers of bacteria to be determined.
The function which is in format f(x) = where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Function for the growth rate of the bacteria is given by
= 7(1+14%)^x
= 7(1.14)^x
For 22 years,
= 7 (1.14)^22
= 125
Thus, After 22 hours the bacteria will be 125 bacterias.
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Deshaun runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?
Answer:
miles = 48(2/15)
miles = 96/15
miles = 6.4 miles
Step-by-step explanation: your welcome
Answer:
At the same rate, how many miles would he run in 48 minutes. --- miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48 ...
Step-by-step explanation:
relations and mapping
What's the question ???
The Bayside Bugle charges by the word to run automotive ads. The newspaper
charges $18 for the first 20 words and $0.35 for each additional word. How much
would a 27-word ad cos?
Answer:
$20.45
Step-by-step explanation:
Since the Bayside Bugle charges $18 for the first 20 words and there is more than 20 words in the ad you take 27-20 and you get 7 additional words.
Now we know that we already have to pay $18 for the first $20 words.
Since we have 7 additional words we multiply that by 0.35 cents and you get $2.45.
Next we add up our two numbers (2.45+18) we get the total of $20.45 fro a 27-word ad.
I hope this helps :)
The cost of 27 word ad is $20.45
What is Equation?An equation is a mathematical expression that contains an equals symbol.
Given that, The Bayside Bugle charges by the word to run automotive ads. The newspaper charges $18 for the first 20 words and $0.35 for each additional word
Let the total be cost C and number of additional words be n, the equation =
C = 18 + 0.35n
For 27 additional words, the cost will be,
C = 18 + 0.35*7
C = 18 + 2.45
C = 20.45
Hence, The cost of 27 word ad is $20.45
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Ethan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies.
What is the probability that Ethan reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?
Answer:7/25 × 5/24
Step-by-step explanation:
7 oatmeal 25 all together
Then 5 peanut butter 24 left since he ate one
The probability of randomly selecting an oatmeal cookie first is approximately 7/25, and the probability of selecting a peanut butter cookie second is approximately 5/24.
Use the concept of probability defined as:
Probability is defined as the ratio of the total number of favorable outcomes to the total number of outcomes.
Given that,
Ethan buys a bag of cookies.
The bag contains different types of cookies:
chocolate chip, peanut butter, sugar, and oatmeal.
The quantities of each type of cookie in the bag are:
6 chocolate chip cookies
5 peanut butter cookies
7 sugar cookies
7 oatmeal cookies
To calculate the probability,
To determine the total number of cookies in the bag and the number of oatmeal cookies and peanut butter cookies.
In this case,
Ethan has a total of,
6 + 5 + 7 + 7 = 25
So there is 25 cookies in the bag.
Since there are 7 oatmeal cookies in the bag.
So, the probability of randomly selecting an oatmeal cookie first = 7/25,
After eating the oatmeal cookie,
There are now 24 cookies left in the bag, with 5 peanut butter cookies remaining.
Therefore,
The probability of randomly selecting a peanut butter cookie second is 5/24
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what is the value of x?
please help!!
Answer: 20
Step-by-step explanation:
9. Difference between the place values of "1" in 3116365 is
If the least value of n is 4, which inequality best shows all the possible values of n?
n ≤ 4
n ≥ 4
n < 4
n > 4
If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The least value of n is 4,
Inequality representation = ?
It is known that,
Least value of n is 4
So, Minimum possible value of n is 4
Maximum value of n should be more than 4,
In order to satisfy the condition,
So,
n > 4
By combining both the things,
It can be written as,
n ≥ 4
Hence, the best inequality representation is n ≥ 4
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the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume
The volume of the given rectangular prism.
Solution:\(\huge\boxed{Formula: lwh}\)
To find the the volume we'll have to multiply the height, width and length.
\(V=\: 13×7×5 \)
\(\large\boxed{V= \:455\: {cm}^{3}}\)
Therefore, the volume of the given rectangular prism is 455 cubic centimeters.
What number is marked by the box on the number line?
A 24
B 26
C 30
D 36
Pls help me
These are my finals
Answer:
If you choose for C you'll get the wright answer,
This is because V26 is more towards V25. This has the outcome of a little bit more than the squarerooth of 25, if you have V34 it is more towards V36 which is 6. Since V30 is in between them it is the right answer +- 5.48 as an outcome
Step-by-step explanation:
Please answer this I will give brainliest
lol i donyt k n o w thts just dum
The product of two numbers is 126 . The smaller number is 5 less than the larger number. Which of the following equations can be used to solve for the larger number?
Answer:
Step-by-step explanation:
45
how much would EZ Excavation charge to haul 40 cubic yards of dirt
Given the line on the graph, we have that it passes through the points (1,25) and (2,50), then we can find the relation function with the slope-point equation of the line:
\(\begin{gathered} \text{slope:} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{50-25}{2-1}=\frac{25}{1}=25 \\ y-y_1=m(x-x_1) \\ \Rightarrow y-25=25(x-1) \\ \Rightarrow y=25x-25+25=25x \\ y=25x \end{gathered}\)we have that the cost of the dirt is given by the equation y=25. To find how much would it be for 40 cubic yards of dirt, we make x=40 and we get the following:
\(\begin{gathered} x=40 \\ \Rightarrow y=25\cdot40=1000 \\ y=1000 \end{gathered}\)therefore, the cost to haul 40 cubic yards of dirt is $1000
NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS
The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively
How to calculate the value of the missing sides of the given triangle?Triangle PQS is congruent with triangle PRS
Therefore, PQ = PR
That is;
PQ = 8
PR = 2x
8 = 2x
X = 8/2 = 4
PR = 2(4) = 8
For ST;
Triangle VST = VUT
That is, TU = ST
ST = 5z
TU = 2z+3
5z = 2z+3
5z+2z = 3
z= 3/3 = 1
ST = 5(1) = 5
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Solve this equation for x. Round your answer to
the nearest hundredth.
3 = In(x + 9)
Answer:
x ≈ 11.09
Step-by-step explanation:
Using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
Given
ln(x + 9) = 3 , that is
\(log_{e}\) (x + 9) = 3 , then
x + 9 = e³ ( subtract 9 from both sides )
x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )
A triangle. A ABC, has angle measures of 82*, 75, and 23' and no sides equal (congruent) in length. How would this triangle be
classified?
Equilateral right
Isosceles obtuse
O Scalene acute
Isosceles acute
The triangle given is a scalene acute triangle
Classification of TriangleA triangle can be classified based on the measures of its angles and the lengths of its sides.
In this case, the angle measures of the triangle are 82, 75, and 23 degrees. Since the sum of the angles in a triangle is always 180 degrees, we can verify that these angles satisfy this condition: 82 + 75 + 23 = 180.
The triangle is not an equilateral triangle because all the sides are not of equal length.
The triangle also doesn't have one right angle so it can't be right triangle.
Now, as per the angle measures, none of the angles are right angles, but one angle is greater than 90 degree, so this triangle is not acute triangle.
So, this triangle is not an Obtuse triangle since it has no angle greater than 90 degrees.
As the triangle has no sides of equal length, it is also a Scalene triangle.
Therefore, the triangle would be classified as a Scalene acute triangle (c).
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a sample of size n will be selected from a population with population proportion p . which of the following must be true for the sampling distribution of the sample proportion to be approximately normal?
The sampling distribution of the sample proportion is approximately normal when the sample size (n) is large and the population proportion (p) is close to 0.5.
This can be mathematically expressed as follows:
\(n*p > 10 and n*(1-p) > 10\)
To illustrate, let's say we are sampling from a population with a proportion of 0.3. For the sampling distribution to be approximately normal, the sample size (n) must be larger than 33.3 (n > 33.3). This is because \(33.3*0.3 = 10 and 33.3*0.7 = 23.3\).
In other words, the sample size (n) must be large enough so that the product of the sample size (n) and the population proportion (p) is greater than 10 and the product of the sample size (n) and the population proportion (1-p) is also greater than 10. This ensures that the sampling distribution of the sample proportion is approximately normal.
To sum up, the sampling distribution of the sample proportion is approximately normal when the sample size (n) is large and the population proportion (p) is close to 0.5.
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