HELP ASAP!!! ill mark brainliest! Which of the following graphs represents the function ƒ(x) = 2x?
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A graph that correctly represents the exponential function [tex]f(x) = 2^x[/tex] include the following; B. graph B.
How to write and graph an exponential function?In Mathematics and Euclidean Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x)=a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, we would select the following exponential function to plot on a set of axes or cartesian coordinate;
[tex]f(x) = 2^x[/tex]
where:
The rate of change (b) is 2 and it represents an exponential growth.
The y-intercept (a) is 1 and it means the graph of this function would cross the y-axis at point (0, 1).
In conclusion, we can logically deduce that only graph B correctly represent an exponential function with these key features.
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Missing information:
Which of the following graphs represents the function [tex]f(x) = 2^x[/tex]?
Related Questions
please help me help!!!!!!!!!!!!
Answers
( -2*(-3*3)=16 )
bx - 5 = 16/-2
bx - 5 = -8
bx = -8+5
bx = -3
x = -3/b ← in the first box
when b=3
x = -3/b
x = -3/3
x = -1 ← in the second box
a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x)=-16x62-4x+382 How long after the rock is thrown does it hit the ground
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We have then:
f (x) = - 16x ^ 2-4x + 382
The moment the rock hits the ground we have f (x) = 0
0 = -16x ^ 2-4x + 382
We solve the polynomial looking for its roots which are:
x1 = -5.012803699004288
x2 = 4.762803699004288
We ignore the negative root. The solution is:
x = 4.76
Answer:
it hits the ground 4.76 s after is thrown
It takes approximately 5.0 seconds for the rock to hit the ground after it is thrown.
Explanation:To find the time when the rock hits the ground, we need to find the value of x when the distance between the rock and the ground is 0. In the given equation, f(x) = -16x^2 - 4x + 382, where f(x) represents the distance between the rock and the ground. We can set this equation equal to 0 and solve for x:
-16x^2 - 4x + 382 = 0
This is a quadratic equation. We can use the quadratic formula to solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Plugging in the values from the equation, we get:
x = (-(-4) ± sqrt((-4)^2 - 4(-16)(382))) / (2(-16))
This simplifies to:
x = (4 ± sqrt(16 + 24512)) / (-32)
x = (4 ± sqrt(24528)) / (-32)
x ≈ (-4 ± 156.49) / (-32)
Since we're dealing with time, the negative value doesn't make sense in this context. So, we take the positive root:
x ≈ (4 + 156.49) / (-32)
x ≈ 160.49 / (-32)
x ≈ -5.0
Therefore, it takes approximately 5.0 seconds for the rock to hit the ground after it is thrown.
Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?
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Let xx be the width of the river. It is given that, when they have met the first time, boat11 has travelled 14001400 m and boat22, (1400−x)(1400−x) metres.
When they meet for the second time, boat11 has travelled 600+(x−1400)=(x−800)600+(x−1400)=(x−800) m, and boat22, 1400+(x−600)=(x+800)1400+(x−600)=(x+800) m.
Note that, the relationship of the distances each traveled, is the same to both meetings. Thus,
14001400−x=x−800x+80014001400−x=x−800x+800⇒x=?⇒x=?Hope you can take it from here.Find the length of both arc AB and arc APB, where
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The measure of arc AB is twice that of angle APB, so is
2*108° = 216°.
The measure of arc APB is the difference between that and 360°, so is
360° -216° = 144°.
as you can see, the angle at P is the inscribed angle, and the intercepted arc is AB, thus 2P = arcAB.
and since a circle has a total of 360°, the other arc is just 360 - arcAB.
Find the distance between the two points. Round to the nearest tenth if necessary. (10, –4), (5, 8)
169
7
13
16
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If you ask this question may be you do not know the formula of the distance between two points or you do not know how to use it, so I am going to explain you both.
1) Formula of the distance betweer two points:
Say the point A has coordinates (x1, y1) and the point B has coordinates (x2, y2), the distance, d, between the points A and B is given by the formula:
[tex]d^2= (x_1-x_2)^2+(y_1+y_2)^2} = d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]
2) So, to apply that formula you need the coordinates of the two points.
In this case the coordinates of the point (10,-4) are: x = 10, y = -4
The coordinates of the point (5,8) are: x = 5, y = 8.
3) This is the application:
[tex]d= \sqrt{(10-5)^2+(-4-8)^2}= \sqrt{(5)^2+(-12)^2}= \sqrt{25+144} d= \sqrt{169}=13 [/tex]
So, the answer is 13.
I need help please Brainliest
Answers
2. A
3. A
4. D
Hope i helped plz tell me how i did thanks
Combine like terms to simlify the expression: 2/5k—3/5+1/10k
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(5/10)k - 3/5
(1/2)k - 3/5 is the answer to the question
THen
4/10K - 3/5 + 1/10k = 5/10k - 3/5
Simplify 5/10k
1/2k - 3/5 is your answer
please help ASAP
the vertices of pqr are p(-3, 8), q(-6, -4), and r(1, 1). if you reflect pqr across the x-axis, what will be the coordinates of the vertices of the image p'q'r'?
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Solve for all values of r 3r/r-5 - 2/r+3=r/r+3
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(3r)(r+3)=(r-5)(r+2)
3r^2 +9r= r^2-3r-10
2r^2+12r+10=0
2(r^2+6r+5)=0
2(r+5)(r+1)=0
r=-1 or r=-5
(35 points) Fred played golf and for the past 5 times had a score of 72, 79, 73, 81, and 70. What was his average score? A. 75 B. 77 C. 85 D. 375
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A. 75
The average score of Fred is 75.
What is the average value?The common cost of a characteristic over language is described to be crucial of the feature divided by way of the period of the interval.
calculation:-
a score of 72, 79, 73, 81, and 70.
nu,ber of times = 5
total score = 72+79+ 73+ 81+ 70.
= 375
average score = 375/5
= 75
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Find the perimeter and the area of the polygon with the given vertices. J (1,2), K (7,2), L (7,8), M (1,8)
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recall, the perimeter is all sides summed up, and the area is just length * width.
Answer : The perimeter and the area of the polygon with the given vertices is, 24 unit and 36 unit² respectively.
Step-by-step explanation :
First we have to calculate the distance of JK, KL, LM and MJ.
Using distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance between the two coordinates
x and y are the coordinates.
To calculate the distance of JK:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(7-1)^2+(2-2)^2}[/tex]
[tex]d=\sqrt{(6)^2+(0)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
To calculate the distance of KL:
[tex]d=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]
[tex]d=\sqrt{(7-7)^2+(8-2)^2}[/tex]
[tex]d=\sqrt{(0)^2+(6)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
To calculate the distance of LM:
[tex]d=\sqrt{(x_4-x_3)^2+(y_4-y_3)^2}[/tex]
[tex]d=\sqrt{(1-7)^2+(8-8)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(0)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
To calculate the distance of MJ:
[tex]d=\sqrt{(x_4-x_1)^2+(y_4-y_1)^2}[/tex]
[tex]d=\sqrt{(1-1)^2+(8-2)^2}[/tex]
[tex]d=\sqrt{(0)^2+(6)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
The distance of JK, KL, LM and MJ is, 6, 6, 6 and 6.
Now we have to calculate the perimeter of the polygon.
Perimeter of polygon = JK + KL + LM + MJ
Perimeter of polygon = 6 + 6 + 6 + 6
Perimeter of polygon = 24 unit.
Now we have to calculate the area of polygon.
As the distance between the coordinates are equal that means the geometry will be square because in square the all four sides are equal.
Now we have to calculate the area of polygon by using area of square formula.
Area of polygon = Area of square = (side)²
Given: Side = 6
Area of polygon = Area of square = (6)²
Area of polygon = Area of square = 36 unit²
Thus, the area of polygon is, 36 unit²
(60 POINTS)
The measure of angle E, the angle of elevation from point A to point B, is 5(x-2) degrees. The measure of D, the angle of depression from point B to point A is (x + 14) degrees. Find the measure of each angle.
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[tex]\sf 5(x-2)=(x+14)[/tex]
Distribute 5 into the parenthesis:
[tex]\sf 5x-10=x+14[/tex]
Add 10 to both sides:
[tex]\sf 5x=x+24[/tex]
Subtract 'x' to both sides:
[tex]\sf 4x=24[/tex]
Divide 4 to both sides:
[tex]\sf x=6[/tex]
So this is our value of 'x', we can plug it into any of the two equations to find the measurement for both angles:
[tex]\sf x+14[/tex]
[tex]\sf 6+14[/tex]
[tex]\boxed{\sf 20\textdegree}[/tex]
So the length of both angle E and angle D is 20 degrees.
Answer:
measure of angle E equals 20 degrees, measure of angle D equals 20 degrees
A zoo has 15 emperor penguins. The emperor penguins make up 30% of all the penguins at the zoo. How many penguins live at the zoo?
Answers
1% = 15/30
= 1/2
100% = 100 x 1/2
= 50
there are 50 penguins in the zoo.
Answer:
30% = 15
1% = 15/30
= 1/2
100% = 100 x 1/2
= 50
there are 50 penguins in the zoo.
Hey, I have some questions on some math problems for Algebra 2. Think you can help? Here's the first one :)
Some investments in the stock market have gained 10% annually. the total value of the investment, A, and this rate can be found using A= P(1.10)^n where P is the initial value of this investment, and N is the number of years the money is invested. if $1,000 is invested in the stock market at this annual rate of return, what is the expected total value after 18 years?
1. $4,054.47
2. $5,559.92
3. $18,700.00
4. $19,800.00
I originally thought it was $18,700.00 but I don't know
Answers
A=P(1.10)^N
P=$1000
N=18
A=1000 (1.10)^18
A = 1000 * 5.55991731349
A=5559.91731349
Rounding off to the nearest hundredths, we get
A = $5559.92
The expected total value after 18 years is $5,559.92
find the roots of the polynomial equation x^3-x^2+x+39=0
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x^2-4x+4=-9,
(x-2)^2=-9
x-2=+-3i,
x=2+3i or 2-3i.
The roots are -3, 2+3i, 2-3i.
Why must bowhunters use broadhead points when hunting big game?
Answers
There are states that require a certain measurement of the broadhead point arrows. Theses arrows must be solidly built and must always be razor sharp to ensure quick penetration to the animals thick skin and layers of tissues.
Bowhunters use broadhead points when hunting big game for their greater cutting surface, penetration, lethality, blood trails, terminal performance, and ethical considerations.
We have,
Bowhunters use broadhead points when hunting big game for several reasons:
- Greater Cutting Surface
Broadhead points have a larger cutting surface area compared to target or field points.
This increased surface area allows for more effective cutting and penetration, which is essential when hunting big game animals that have tough hides, muscles, and bones.
- Penetration and Lethality:
Big game animals often require deep penetration to reach vital organs for an ethical and humane kill.
Broadheads are designed to maximize penetration by creating large wound channels and causing significant tissue damage.
This helps ensure quick and effective kills, minimizing suffering for the animal.
- Blood Trails
- Terminal Performance
- Ethical Considerations
Thus,
Bowhunters use broadhead points when hunting big game for their greater cutting surface, penetration, lethality, blood trails, terminal performance, and ethical considerations.
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MEDAL PLEASE HELP
A compact disc is designed to last an average of 4 years with a standard deviation of 0.9 years. What is the probability that a CD will last less than 3 years?
1.11%
13.35%
86.65%
100%
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A grocery bag can withstand 300 n of force before it rips apart. how many kilograms of apples can it safely hold?
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The grocery bag can handle roughly 30.6 kg of apples safely. This conclusion is drawn based on the concept of forces, weight, and the Physics formula for calculating weight.
Explanation:The subject field for this question is Physics and it relates to the High School level. This question is about the concept in physics known as force, in particular, the force related to weight and how it pertains to carrying capacity.
In physics, force is typically given in units of Newton's (N), named after Sir Isaac Newton. The force exerted by a mass due to gravity is its weight. Specifically, weight is calculated through the formula F = m * g, where F is the force (weight), m is the mass in kilograms, and g is the acceleration due to gravity in m/s² (approximately 9.8 m/s² on Earth).
To find out how many kilograms of apples a bag can hold before it rips, we can use this formula and solve for m (mass). Given that the force the bag can withstand before ripping is 300 N, we have 300 N = m * 9.8 m/s². Isolating m gives us m = 300 N / 9.8 m/s² which is approximately 30.6 kg. Therefore, the bag can safely hold around 30.6 kg of apples.
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Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the solutions are:
ANSWER IS ::::: (-2.1)⇒0.2
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Answer:
From least to the greatest, the solutions are: (-2.1) to (0.2)
Step-by-step explanation:
Given : Equation -[tex]log (-5.6x + 1.3) = -1-x[/tex]
To Solve : The equation
Step1 : Write the equation :
[tex]log (-5.6x + 1.3) = -1-x[/tex]
Step 2 : To solve the equation we plot the graph,
when we plot the graph the points where y=0 for value of x
Step 3: Points where y=0,x=-2.12 and 0.221 (shown in the attached graph)
Therefore, (x+2.12) and (x-0.221) are the solutions of the equation.
Round to nearest tenth x= -2.1 and 0.2
From least to the greatest, the solutions are: (-2.1) to (0.2)
if y varies directly as x, and y=6 as x=-1, find y for the x-value of 5
Answers
Answer:
[tex]y=-30[/tex]
Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as
[tex]y=kx[/tex]
where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k
[tex]6=k(-1)[/tex]
so, we get
[tex]k=-6[/tex]
now, we can plug it back
[tex]y=-6x[/tex]
now, we can plug x=5
and we get
[tex]y=-6\times 5[/tex]
[tex]y=-30[/tex]
True or false ? A car taking a turn at a constant speed is accelerating.
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I need some help with this math question. Please see attachment.
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II. The interquartile range is the difference between the coordinates of the ends of the box: 13 -6 = 7. It is FALSE that the interquartile range is 6.
III. The median is Q2, the line in the middle of the box. It is 8. It is FALSE that the median is 10.
Selection A is appropriate.
Look at the picture below // 50 points // PLEASEE HELPP
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so answer is C. steeper
I need help plz, i dont understand it, its english class, i dont like english class
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Round the answer to the nearest cent.
A 30% discount on $47.50 is $
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Answer:
14. 25
Step-by-step explanation:
The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write es002-1.jpg as a single radical? Explain.
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The radicands are powers of the same base, so they can be written using rational exponents.
Simplify the quotient of the exponential expressions by getting a common denominator and subtracting exponents.
The simplified expression is the 4th root of y
The expression can be written as a single radical by covertong the expression to a rational format such that both the denominator and numerator have the same base as y¼
Numerator = The 4th root of y³ = y¾Denominator = squareroot of y = y½Using indices :
Division sign signifies the powers should be subtracted[tex] \frac{y¾}{y½} = y^{¾ - ½} = y¼[/tex]
Therefore, the expression can be written as a single radical thus y¼
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As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angle of depression of the closer side of the fence was 32°, and the angle of depression of the farther side of the fence was 27°. If the height of the balloon was 800 feet, estimate the width of the field. Round your answer to the nearest foot. 2016_01_25_17_23_501.png The width of the field is about feet
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Steps needed to find the width of the field (CD):
First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.
We then subtract 27 and 5 from 180 to get angle c. [tex]180-27-5=148[/tex]. Angle c is therefore 148 degrees.
Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures [tex]180-148=32[/tex] degrees.
For the next step we use sine law to find the length of segment AC:
[tex] \frac{sin(32)}{800} = \frac{sin(90)}{AC} [/tex]
[tex]AC=1509.66[/tex]
Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
[tex] \frac{sin(27)}{1509.66} = \frac{sin(5)}{CD} [/tex]
[tex]CD=290[/tex]
ANSWER: The width of the field is 290 ft.
In which way do REITs resemble mutual friends
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___________________________________________________________
REITs resemble mutual funds in that they both allow investors to pool their money to invest in a diversified portfolio. REITs consist of a variety of real estate properties, while mutual funds consist of stocks or bonds. Both provide individuals with an opportunity to invest in a professionally managed portfolio.
Explanation:REITs (Real Estate Investment Trusts) resemble mutual funds in that they both allow investors to pool their money together to invest in a diversified portfolio. Just as mutual funds consist of a variety of stocks or bonds from different companies, REITs consist of a variety of real estate properties such as office buildings, apartments, and shopping centers. Investors buy shares of a REIT and receive a return based on the performance of the real estate portfolio as a whole. Both REITs and mutual funds provide individuals with an opportunity to invest in a professionally managed portfolio without having to directly invest in individual stocks or properties.
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There are twenty-three red marbles and two blue marbles in a box. a marble is randomly chosen from the box, its color noted, then put back in the box. this process is repeated. what is the probability that (a) the first marble is blue? (b) the first four marbles are red? (c) the first four marbles are red and the fifth is blue?
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B. 4/25
C. 6/25
I'm sure about the first one, not so much about the last 2 though...
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment
Answers
Answer:
Using a compass.Step-by-step explanation:
Using a compass ensures that the new segment has the same length as the original one. Taking a pivot point and then drawing a arc, this distance is the copy.