Given the functions f(x) = log2(4x) and g(x) = 4x – 3, which of the following statements is true?
Both f(x) and g(x) have a common domain on the interval (0, ∞).
Both f(x) and g(x) have the same range of (–∞, 0].
Both f(x) and g(x) have the same x-intercept of (2, 0).
Both f(x) and g(x) increase on the interval of (–4 , ∞).
Answers
The true statement about the two functions is:
"Both f(x) and g(x) increase on the interval of (–4 , ∞)."
Which statement is true regarding the given functions?Here we have the functions:
f(x) = log₂(4x)
g(x) = 4x - 3
That can be seen in the graph at the end. In the graph the green one is the logarithmic function.
As you can see there, both of these have similar ranges that go from (-∞, ∞) and both are increasing functions.
Then the correct statement is:
Both f(x) and g(x) increase on the interval of (–4 , ∞).
Where f(x) is actually increasing on all it's domain which is (-∞, ∞), so the statement is true.
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Answer:
Both f(x) and g(x) have a common domain on the interval (0, ∞).
Step-by-step explanation:
The person explained it perfectly in this link shown below
https://brainly.com/question/28219401?referrer=searchResults
pls give me brainist for finding the answer
Also, the answer to the question
"What type of function is f(x) = 2x^3 – 4x^2 + 5?"
A) Exponential
B) Logarithmic
C) Polynomial
D) Radical
The answer is C) Polynomial
Explanation:
The exponential equation would look like this: f(x) = 2^x
with x for the exponent
The logarithmic equation would look like this: f(x) = log2 + 4
with log in the equation
The radical equation would look like this: f(x) = x^2 + 4x -1
3x^2 -9x +2
With divide by something
Related Questions
What are the zeros of this function?
Please let me know asap!!!
Answers
Answer:
My best Gues is x=0 and x=6
Step-by-step explanation:
Because The zeroes of a function is where the line is equal to fx=0 which means it is where the line intercepts with the x axis. And the the line is on the x- axis touching 0 and it isn’t touching any negative number so it would have to be positive and would be 6.
zeros are the x inetercepts
Here the x intercepts are
(0,0)(6,0)Hence
x(x-6)=0So
zeros are
0 and 6Simplify -2 + 3(1-4)-2
Answers
Answer:-13
Step-by-step explanation:-2+3(1-4)-2
-2+3×-3-2
-2-9-2
-11-2
-13(hope this helps also if u want can u make thithis the brainliest?:))
What is the function equation for the input/output table?
Answers
Answer:
y = x - 8
Step-by-step explanation:
I plugged iin for the values and checks out.
Hope this helps!
Find the exact value of x.
Answers
Answer:
here is the exact value of x=16
Carmen needs to memorize words on a vocabulary list for German class. She has 18 words to memorize, and she is two-thirds done. How many words has Carmen memorizes so far?
Answers
2/3 x 18 = 12
Help with number 11-please
Answers
Step-by-step explanation:
11.
-165 + 3217 + 65
what I see right away is the equality of the 2 digit positions between -165 and +65. I can immediately combine them to -100.
and then the rest is easy : 3217 - 100 = 3117.
173 + (-43) + (-97)
I see that -43 and -97 combine nicely too: I can take the -3 of -43 and add this to -97, which gives me -100, while it leaves -40 on the former -43 side. it is now easy to combine these to -140.
and 173 - 140 is again easy to calculate : 33
Soo i need yall help rlly bad w it
Answers
Step-by-step explanation:
when changing from mixed number to improper u multiply the denominator but the whole number then add the numerator
hope that helps
2. Solve for x.
(6x + 4)º
44°
Answers
6x + 4 = 136
Subtract 4 from both sides so
6x = 132
Divide both sides by 6
X=12
[tex]~~~~~(6x+4) +44 = 90\\\\\implies 6 x+ 48=90\\\\\implies 6x = 90-48\\\\\implies 6x = 42\\\\\implies x= \dfrac{42}6\\\\\implies x = 7[/tex]
What is the volume of this shape
Answers
904.78 [tex]yards^{3}[/tex]
Step-by-step explanation:The shape above is a sphere, the 3-D version of a circle.
Formula
The formula for the volume of a sphere is [tex]V=\frac{4}{3}\pi r^{3}[/tex], where V is the volume and r is the radius. Remember when using pi to use the pi button on the calculator to be precise.
Radius
The image above gives us the diameter. It shows the distance across the entire sphere is 12 yards. However, we need the diameter. Radius is equal to half of the diameter. So, the radius equals 6 yards.
Solving for V
Now that we have the information we need, we can plug in the values and solve.
First, rewrite the equation.
[tex]V=\frac{4}{3}\pi 6^{3}[/tex]Next, apply the exponents.
[tex]V=\frac{4}{3}\pi *216[/tex]Then, multiply out the terms.
[tex]V=904.78[/tex]This means that the volume of the sphere is 904.78 yards cubed.
6. If Mark has a probability of 30% of bowling a strike, then answer the following questions: (a) What is the probability that he bowls 2 strikes in a row? Give your answer as a percent (6) What it the probability that he doesn't bowl a strike 10 times in a row? Give your answer as a percent to the nearest tenth of a percent.
Answers
Answer:
Step-by-step explanation:
(a) 30/100*30/100= 9/100 = 9%
4(10b-4)
Explain please
Answers
Work Shown:
4(10b-4)
4*10b - 4*4
40b - 16
I multiplied the outer term 4 by each term inside. Refer to the distribution property (aka distributive property).
Answer:
40b - 16
Step-by-step explanation:
4 (10b - 4)
= (4*10b) - (4*4) [distributive property]
= 40b - 16
Hope it helps ⚜
FASTEST ANSWER GETS BRAINLIEST!
Figure 1 ;4 squares
Figure 2; 8
Figure 3; 16
Figure 4; 32
How many squares will be in Figure 100?
A 2^100
B. 4^100
c. 2x4^99
D4x2^99
Answers
Answer:
D. 4x2^99
Step-by-step explanation:
This question is a geometric progression question.
NO LINKS!! Please help me with this problem
Answers
Answer:
-6(x-1)^2+9
Step-by-step explanation:
This function is in vertex form, or a(x-h)^2+k. In this equation, h is the horizontal translation, where positive h is right and negative h is left. To translate this function 6 units left, you can subtract 6 from the current h.
6 units left means change in x axis
x is shifted 6 units leftwards
Hence new translation
g(x)=-6(x-7+6)²+9g(x)=-6(x-1)²+9At one university, the mean distance commuted to campus by students is 19.0 miles, with a standard deviation of 5.1 miles. Suppose that the commute
distances are normally distributed. Complete the following statements.
(ə) Approximately 99.7% of the students have commute distances between__miles
and__miles
(b) Approximately ??
of the students have commute distances between 8.8 miles and 29.2 miles.
Answers
The approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
a) We have:
mean u = 19.0 miles,
[tex]\rm \sigma = 5.1 \ miles[/tex]
According to the empirical rule, the area between [tex]\mu - \sigma[/tex] and [tex]\mu + \sigma[/tex] is 99.7%
[tex]\mu - \sigma = 19- 5.1 = 13.9[/tex]
[tex]\mu + \sigma = 19+5.1 = 24.1[/tex]
b) = P(8.8 < X < 29.2)
[tex]\rm P(\dfrac{8.8-\mu}{\sigma } < \dfrac{X-\mu}\sigma < \dfrac{29.2-\mu}{\sigma})[/tex]
[tex]\rm P(\dfrac{8.8-19}{5.1} < Z < \dfrac{29.2-19}{5.1})[/tex]
P(-2 < Z < 2)
Thus, the approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%
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Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.
Answers
The cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the brush cost is $B, the sketchbook cost is $S, and the paint set cost is $P.
From the problem, we can draw three linear equations in three variables:
The brush was 1/6 as much as the sketchbook:
B = (1/6)S or
6B - S = 0 ...(1)
The sketchbook cost 3/4 the cost of the paint set
S = (3/4)P or
4S - 3P = 0 ...(2)
The total cost would be:
B+S+P = 35.75 - 2
B+S+P = 33.75 ...(3)
After solving equations (1), (2), and (3) we will get the cost of each item:
B = $2.25
S = $13.50
P = $18
Thus, the cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.
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Identify the polygon
find the perimeter
with vertices P (2,-2) Q (4,2), R (6,2), and S (4, -2). and then
and area of the polygon.
Answers
Answer:
Perimeter is about 12.95 /// Area = 8
Step-by-step explanation:
one way to recognize a line of symmetry is to look for a line that divides the original image into?
Answers
Answer:
Half
Step-by-step explanation:
by dividing in half, it shows both sides are equal/symmetric
hope this helps:)
Answer:
[tex]\huge\boxed{\textbf{Two\ identical\ halves}}[/tex]
Step-by-step explanation:
Symmetry:
When something (an object) is identical on both sides when cut into half or quarter (or any other symmetry), we call the object to be symmetric.Line of symmetry:
The line which cuts an object into two identical parts is called a line of symmetry.[tex]\rule[225]{225}{2}[/tex]
The record high temperature on January 15 is 41°F. The record low temperature on that day is -16°F. What is the difference in the record temperatures?
Answers
Which pair of angles must be supplementary?
Answers
The pair of angles that must be supplementary, in the diagram given is: ∠2 and ∠5.
What are Supplementary Angles?Supplementary angles are two angles whose sum equals to 180 degrees.
m∠2 + m∠5 = 180° (each equals 90°)
Therefore, the pair of angles, ∠2 and ∠5 are supplementary angles in the diagram given because their sum equals 180 degrees.
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my company wants to produce 2234 models each day. one employee can make a single model car in 5 minutes. we work 6 hours a day. how many employees do i need to hire?
Answers
Answer:
The Answer IS 32 Employees
Step-by-step explanation:
No of cars produced in an Hour = 12 Cars
No or cars produced in a day by one employee = 12*6 = 72
No of employees needed = 2234 / 72 = 31.02
= 32 Employees
(Note that the 0.02 petcent notes for some cars so we need another employee)
Mark Brainliest PWEESE
The diameter of a circle is 36 meters. What is the circle's area? Use 3.14 for .
Answers
Answer:
1017.36 m²
Step-by-step explanation:
Info:
Diameter: 36m
π: 3.14
---
If the formula for area of circle is: A = πr², and the radius is 18 (half of 36)
Then to find the area, we just multiply π with 18².
18 x 18 = 324.
324 x 3.14 = 1017.36
The area of the circle is 1017.36 m²
Hi Student!
The first step to most problems is to determine the important information that is provided in the given problem statement. In this problem we can see that we are given a diameter of a circle which is 36 meters. Another important thing that we can determine is that the question is asking for us to find the area of the circle using 3.14 for π.
Now that we have collected our important information we can move onto the next step which isn't to find the area yet. First, we need to determine what the radius of our circle is.
Determine the radius
[tex]radius=\frac{diameter}{2}[/tex][tex]radius=\frac{36\ m}{2}[/tex][tex]radius=18\ m[/tex]Now, we can finally plug in our values into the area of a circle equation and solve. The only thing that we need to find the area is the radius which we determined from the previous step.
Plug in the values
[tex]area = \pi * radius^2[/tex][tex]area = 3.14 * (18\ m)^2[/tex]Expand the exponent
[tex]area = 3.14 * (18\ m * 18\ m)[/tex][tex]area = 3.14* 324\ m^2[/tex]Multiply the final two numbers
[tex]area = 1017.36\ m^2[/tex]Therefore, the area of a circle with a diameter of 36 meters is 1017.36 meters squared.
(3x4 + 2x3 − x2 + 2x − 14) ÷ (x + 2)
Answers
Answer:3x^3-4x^2+7x-12+10/x+2
Step-by-step explanation:
Answer:
x1 ~ -1.8
x2 ~ 1.30
Step-by-step explanation:
[tex]\frac{x(x(x+1)(3x-1)+2)-14}{x+2}[/tex]
What type of triangle has only two congruent sides?
Group of answer choices
Scalene triangle
Equilateral triangle
Isosceles triangle
Equiangular triangle
Answers
hope this helps
Find the missing coordinate t
y=-x (10,)
Answers
Answer:
The missing coordinate t is equal to -10.
General Formulas and Concepts:
Algebra I
Coordinate Graph
Coordinates (x, y)Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyley = -x \\\text{Point } (10, t)[/tex]
Step 2: Find t
[Equation] Substitute in x-coordinate:[tex]\displaystyle y = -10[/tex]Redefine coordinate:
[tex]\displaystyle \text{Point} = \boxed{ (10, -10) }[/tex]
∴ we have found the missing t coordinate (y-coordinate) to be equal to -10.
___
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___
Topic: Algebra I
Write the following list of events as an expression and then simplify.
$80 deposit, $78 deposit, $97 withdrawal, $12 deposit
Please enter the expression (without simplifying) in the left hand box labeled "Initial Expression". Enter the simplified expression in the right hand box, labeled "Simplified Expression".
initial expression:
simplified expression:
Answers
Step-by-step explanation:
Initial expression = 80 + 78 + (-97) + 12
final expression = 170-97 ==> $73
List any three even natural numbers and verify that each can be written in the form 2m, where m is any natural number.
Answers
Step-by-step explanation:
8 can be written as 2(4)
16 can be written as 2(8)
32 can be written as 2(16)
Answer:
Can be any number but for example: (2,4,8)
Step-by-step explanation:
Given a natural number is any whle number
ex. 1,2,3,4,5,etc
Therefore, any number can be placed in the equation 2m and it will remian a natural number
5. Solve the logarithmic equation by writing in exponential form or by graphing. Round to the nearest
log (3x + 1) = 2
0.667
33.667
33
0.333
Answers
Answer:
It's b
Step-by-step explanation:
I have a question about this please see attachment
Answers
Answer:
[tex]\boxed{\bf x \geqslant 6}[/tex]
Step-by-step explanation:
Given:- g(x)=√(x - 4) and h(x) = 2x - 8
Find:- What're the restrictions on the domain of g•h.
______________________________
[tex]\bf g.h = \sqrt{(2x - 8) - 4} [/tex][tex]\bf g.h = \sqrt{2x - 12} [/tex][tex]\bf 2x - 12 \geqslant 0[/tex][tex]\bf 2x \geqslant 12[/tex][tex]\bf \cfrac{2x}{2} = \cfrac{12}{2} [/tex][tex]\bf x \geqslant 6[/tex]«••••••••••••••«»•••••••••••••»
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < Two-thirdsx + 3
y > Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3
Answers
Answer:
(c) y > 2/3x + 3
Step-by-step explanation:
Shading to the left of a line with positive slope is the same as shading above that line. That, and the fact that the line is dashed, means the inequality will be of the form ...
y > ( ) . . . . . . the solution set is y-values greater than those on the line
__
There are two choices in this form. You can see which one will include the point (-3, 1) on the boundary line:
y > 3/2x +3
y > (3/2)(-3) +3 = -3/2 . . . . . not 1. This is not the correct inequality
y > 2/3x +3
y > (2/3)(-3) +3 = 1 . . . . . . . the inequality we're looking for
Answer:
its C (on edge 2021)
y > 2/3x + 3Step-by-step explanation:
i took the test
What is the inverse of the function f(x)=(x+4) squared
Answers
f^-1(x) = /x - 4 - /x - 4
(check attached image)
