Answers
The value of b = 5 , h = -4 and k = -1 for the function f(x) = \(log_{5}\)(x - 4) - 1
What is a function ?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).
A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
An input is connected to an output by a function. It resembles a device with an input and an output. In addition, the output is somehow connected to the input. The standard way to write a function is f(x) "f(x) =... "
Translated of logarithmic function:
f(x) = \(log_{b}\) (x + h) + k
where b is base, h - horizontal shift, k - vertical shift
According to given function the values are:
b = 5, h = - 4, k = - 1
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Related Questions
Solve the inequality 3x + 8 = 5x
2
O2 < -5
O x < 5
Os > 5
OX > -5
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X > 5
3rd answer / C
HELP! Simplify
3/14\(\sqrt{98}\)
Answers
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real
![HELP! Simplify3/14[tex]\sqrt{98}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/DXUk8xMvbwBipfAo8dhzj4rOI6RHWQjn.png)
I need help with my algebrayou need to write the sentence as a inequality:the difference of a number and 7 is at least 25
Answers
When they refer to a number it can be expressed as x.
The difference of a number and 7 can be expressed as x-7.
And when they use the expression at least, it means greater than or equal to, that means that the sentence written as an inequality is:
\(x-7\ge25\)Solve for . Simplify your answer as much as possible. please help
Answers
Answer:
\(x=-6\)
Step-by-step explanation:
So we have the equation:
\(-34=7(x+8)+8x\)
First, distribute the 7 into the (x+8) and simplify:
\(-34=7(x)+7(8)+8x\\-34=7x+56+8x\)
Combine the like terms 7x and 8x by adding them together:
\(-34=56+15x\)
Subtract 56 from both sides to isolate the x:
\(-34-56=15x+56-56\\15x=-90\)
Divide both sides by 15 to get x:
\(x=-90/15=-6\)
30 POINTS What is the answer????
Answers
Answer:
Step-by-step explanation:
the third i think
Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2^(x−5) + 3, g(x) = 2x − 5, h(x) = 8/x + 10
quickly please!!!!
Answers
Answer:
The point where f(x), g(x), and h(x) have the same value is (8, 11)
Step-by-step explanation:
The points where g(x) and h(x) have the same value is given as follows;
2x - 5 = 8/x + 10
2x² - 15x - 8 = 0
Using an online tool, we have;
(x - 8)(2x + 1) = 0
x = 8 or x = -1/2
∴ g(x) and h(x) = 11 or y = -6
For x = 8, we have;
f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11
For x = -1/2, we have;
f(x) = 2^(-1/2 - 5) + 3 = 3.022
Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.
3(y - 10) + 1 = x(y - 8)
pls help asap
Answers
Answer:
x=3y-29/y-8
Step-by-step explanation:
3(y-10)+1=x(y-8)
xy-8x=3y-29
x(y-8)=3y-29
/y-8 /y-8
x=3y-29/y-8
Explain how to use the regression calculator to make a reasonable prediction given a data table.
Answers
Answer:
Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Answer:
Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
its from edge
An MIS differs from a TPS in that it creates databases.A. TrueB. False
Answers
An MIS differs from a TPS in that it creates databases is True.
An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.
One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.
On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.
In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.
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(3 j)x=11 j7 what is the magnitude of x?
Answers
The magnitude of x is 11/3.
Isolating a variable in an equation means rearranging the equation so that the variable is on one side of the equation and all the other terms are on the other side. Here are the general steps to follow:
Identify the variable you want to isolate.
Use the algebraic operations of addition, subtraction, multiplication, and division to move all the terms containing the variable to one side of the equation.Perform the same algebraic operation to both sides of the equation to maintain equality.Simplify the equation if necessary by combining like terms.Divide or multiply both sides of the equation by any coefficients of the variable to isolate it.Check your solution by substituting the isolated variable back into the original equation to ensure that it makes sense.To find the magnitude of x, we can divide both sides by 3j:
x = (11j7) / (3j)
Simplifying, we get:
x = (11/3) * (j7 / j)
Since j^2 = -1, we can simplify j7/j as:
j7 / j = j^6 * j / j = j^6 = (j^2)^3 = (-1)^3 = -j
Substituting this back into the expression for x, we get:
x = (11/3) * (-j)
To find the magnitude of x, we take the absolute value:
|x| = |(11/3) * (-j)| = (11/3) * |j| = 11/3
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There are 96 girls in a junior class of 176 students. Find the ratio of girls to boys.a.11:6c.6:11b.5:6d.6:5
Answers
The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.
What is a Ratio?A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.
The ratio tells us how often one number is contained in another.
Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,
96 girls are present.
80 boys out of 176, or 96 boys.
Currently, the junior class's gender distribution is as follows:
Girls to Boys in Ratio
96 girls and 80 boys.
Divide the numerator and denominator by 16 to simplify.
Boys/Girls: 6 to 5.
Therefore, the answer is option d) 6:5.
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what is 4547.14 in standard form
Answers
Answer:
4.54714 × 103
Step-by-step explanation:
can i have some help please( BRAINLLEST)
Answers
Answer:
2
-3
same thing
Step-by-step explanation:
Renting a car costs $55 plus $0.45 per mile, m. Write an
algebraic expression to represent the total cost of renting a car.
Answers
Answer:
55 + .45m
Step-by-step explanation:
The total cost of renting the car is the fixed cost plus the cost per mile
55 + .45m where m is the number of miles
y = 0.45m + 55 [equation]
m [number of miles] = 100
Step-by-step explanation:
Equation:
y = mx + b
y = 0.45m (# of miles) + 55 (daily fee)
To solve for m, the number of miles:
100 = 0.45m + 55
Subtract 55 from each side.
45 = 0.45m
\(\frac{45}{0.45}\) =mm = 100Let the function P represent the population P(d), in thousands, of a colony of insects d days after first being measured. A model for P is P(d)=10⋅(1. 08)d. Select all the statements that are true about this situation.
There were 1,080 insects when the colony was first counted.
One week after the colony was first counted, there were 10,800 insects.
The growth factor per day is 1. 8.
The growth factor per week is 1. 08⋅7.
The growth factor per hour is 1. 8124
Answers
Answer:
c and e
Step-by-step explanation:
Ramon has a picture that measures 2 inches in length and 3 inches in width. He wants to enlarge the picture to fit on a picture frame that is 14 inches long. How wide will the picture frame need to be in order to create a similar figure?
A. 21 inches
B.9 1/3 inches
C. 6 inches
D. 84 inches
NO LINKS OR I WILL RPORT YOU
Answers
Answer:
The frame would be 21 inches wide
Step-by-step explanation:
set up ratio of 2/3 and 14/x
then solve for x
Answer:9 1/3
Step-by-step explanation:
2. 1 million African American students enroll in college every year. 10% of these students decide to go to a Historically Black College or University (HBCU). Given a graduation rate of 37%, how many African American students graduate from HBCUs a year? *Umm Help*
Answers
Answer:
77,700 students graduate on (HBCU)
Step-by-step explanation:
2,100,000*.10=210,000
210,000*.37=77,700
(I am not really sure about this )
match each verbal description to its equivelent function rule as applied to the given function below.
Answers
The parent function is f(x) = 7x + 5.
So let's find the equation for each transformation:
a) The function f reflected about the y-axis and translated 3 units left.
A reflection about the y-axis can be calculated just changing the sign of the variable x:
\(f(x)=7x+5\to f^{\prime}(x)=7\cdot(-x)+5=-7x+5\)Now, in order to translate 3 units left, we just need to add 3 units to the x-value:
\(\begin{gathered} f^{\prime}(x)=-7x+5\to g(x)=-7(x+3)+5 \\ g(x)=-7x-21+5 \\ g(x)=-7x-16 \end{gathered}\)b) The function f stretched vertically by a factor of 3 and translated up by 2 units.
In order to stretch up the function, we multiply the whole function by the factor:
\(\begin{gathered} f(x)=7x+5\to f^{\prime}(x)=3\cdot(7x+5) \\ f^{\prime}(x)=21x+15 \end{gathered}\)Then, to translated 2 units up, we add 2 units of the function:
\(\begin{gathered} f^{\prime}(x)=21x+15\to g(x)=21x+15+2 \\ g(x)=21x+17 \end{gathered}\)c) The function f translated 2 units down and 3 units right.
To do a translation of 2 units down, we subtract 2 units of the function, and to translate 3 units right, we subtract 3 units from the value of x:
\(\begin{gathered} f(x)=7x+5\to f^{\prime}(x)=7x+5-2 \\ f^{\prime}(x)=7x+3 \\ \\ f^{\prime}(x)=7x+3\to g(x)=7\cdot(x-3)+3 \\ g(x)=7x-21+3 \\ g(x)=7x-18 \end{gathered}\)d) The function f stretched vertically by a factor of 2 and translated down by 3 units.
In order to stretch up the function, we multiply the whole function by the factor:
\(\begin{gathered} f(x)=7x+5\to f^{\prime}(x)=2\cdot(7x+5) \\ f^{\prime}(x)=14x+10 \end{gathered}\)Then, to translated 3 units down, we subtract 3 units of the function:
\(\begin{gathered} f^{\prime}(x)=14x+10\to g(x)=14x+10-3 \\ g(x)=14x+7 \end{gathered}\)What is the diameter of D if one side of the triangle is 18 feet and the other is 22 feet
Answers
Answer:
28.4253408071... ft
Step-by-step explanation:
If you are saying that the diameter is the hypotenuse of the triangle, then we can use Pythagora's theorem to solve for it:
\(a^2+b^2=c^2\\18^2+22^2=c^2\\324+484=c^2\\808=c^2\\28.4253408071...=c\)
If the question doesn't mention rounding, then that's our answer.
give an example of an unbounded sequence that has a convergent subsequence.
Answers
Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.
If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.
Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.
Let’s look at the example to answer the question.
Example of an unbounded sequence that has a convergent subsequence:
Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).
However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.
And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.
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32 PS-9
Car Survey In a survey of 2,600 people who owned a certain type of car, 1,300 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
Type a whole number. )
Enter your answer in the answer box and then click Check Answer
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Answers
The required percent of the people surveyed were satisfied with the car is 50%.
What is percentage ?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
According to question;We have,
Total car owner = 2600
People who said to buy car again = 1300
Now
Percentage of satisfied people = \(\frac{1300}{2600}\) × 100
Percentage of satisfied people = 50 %
Thus,required percentage is 50%.
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Find the m42 in the figure below.
Answers
Answer:
128°
Step-by-step explanation:
\(m\angle 1=26^{\circ}\) (isosceles triangle)
\(m\angle 2=128^{\circ}\) (sum of angles in a triangle)
The triangles are both marked with the single-tick congruency mark on two sides. This means that they not only share two sides but are also both isosceles. They also share the center side, so, by SSS congruency, these triangles are congruent and thus share all 3 angles. If they share all 3 angles, however, the shape they form together is a parallelogram. If it is a parallelogram, we can use the alternate interior angles theorem, so, the angle adjacent to angle 1 is also 26°. If these are isosceles triangles, the angles that lie on the non-congruent side are congruent, so angle 1 and the angle adjacent to the given angle are congruent. So, since all angles in a triangle add up to 180°:
\(26\°+26\°+x\°=180\°\\52\°+x\°=180\°\\52\°-52\°+x\°=180\°-52\°\\x\°=128\°\)
So, the measure of angle 2 is 128°
i dont understand any of this please help
Answers
Answer:
92%
Step-by-step explanation:
To convert a fraction to a percent, you can divide the numerator by the denominator to end up with a decimal, in this case 0.92. Then, to convert to a percent, move the decimal two places to the left. As a result, we have 92%.
hope this helps!
what kind of triangle is it?
Answers
Answer: I don't know the triangle if there n picture
Step-by-step explanation:
If m∠4=125° , what are the measures of ∠5 , ∠6 , ∠7 , and ∠8 ?
Answers
Answer: angle 5 = 55 degrees, angle 6 = 125 degrees, angle 7 = 55 degrees, angle 8 = 125 degrees
Solve the system of equations using substitution.
3x + 2y = 5
x = 2y + 7
(3, −2)
(5, −5)
(7, 0)
(11, 2)
Answers
Answer: Solve the system of equations using substitution.
3x + 2y = 5
x = 2y + 7
(3, −2)
(5, −5)
(7, 0)
(11, 2)
Step-by-step explanation:
which if the following equations will produce the graph shown below.
Answers
Sajid wants to bake cupcakes and muffins. He wants to bake a total of at least 161616 cupcakes and muffins (condition A), and he has 9000 grams of sugar (condition B).
Answers
Answer:
some part of your question is missing below is the missing part
The graph represents the constraints on the number of cupcakes C and muffins M Sajid bakes.
M
20
18
16-
А
14-
12
10
8-
6+
B
41
2+
С
2
4 6
8
10 12 14
18 20
Sajid bakes 3 cupcakes. How many muffins can he bake to meet both his constraints?
answer : 13 ≥ muffins ≤ 16
Step-by-step explanation:
Sajid wants to bake a total of 16 cupcakes and muffins considering both constraints and the fact that he wants to make a total of at least 16 cupcakes and Muffin he would have to make a minimum of 13 muffins and at most 16 muffins
i.e. . 13 ≥ muffins ≤ 16
Drag the tiles to the correct boxes. not all tiles will be used. Match the questions with their solutions 200 6 80 150 5 8 Joshua has 11 baskets of apples. in total he has 88 apples how many apples are there in total? Mindy can type 40 words per minute how many words cans she type in five minutes? Jessica had 20 balloons which she distributed among 4 of her friends. how many balloons did each friend get? Max can make 1 greeting card in 5 minutes how many greeting cards can he make in 30 minutes.
Answers
Using proportions, it is found that:
Joshua has 8 apples in each basket.Mindy can type 200 words in five minutes.Each friend of Jessica got 5 balloons.Max can make 6 cards in 30 minutes.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Joshua has 88 apples in 11 baskets, hence the number of apples per basket is given by:
88/11 = 8.
Mindy can type 40 words per minute, hence in five minutes, the number of words that she types is given by:
40 x 5 = 200.
Jessica had 20 balloons which she distributed among 4 of her friends, hence the number of balloons that each friend got is:
20/4 = 5.
Max can make 1 greeting card in 5 minutes, hence the number of cards that he can make in 30 minutes is:
1 x 30/5 = 6 cards.
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Can somebody please help with my latest question? I’ve been stuck on it for a half an hour now, and I’d really appreciate it. But if you can’t that’s fine:) Have a good day.
Answers
Answer:
Whats your last question?
Answer:
whats the question tho?
Step-by-step explanation:
