if you flip the graph of the exponential function f(x)=2x over the x axis what is the equation of the new function
Answers
Answer:
Option: B is the correct answer.
The equation of the new function g(x) on flipping the function f(x) over the x-axis is:
[tex]g(x)=-2^x[/tex]
Step-by-step explanation:
We are given a graph of the exponential function f(x) which is represented by:
[tex]f(x)=2^x[/tex]
We know that when a graph of a function is reflected or flipped over the x-axis then the the change that take place to the function is that f(x) is transformed to -f(x).
( Since on flipping the function over the x-axis the positive value of the function get changed to negative and the negative value of the function is changed to positive)
Hence, the equation for the new function is:
[tex]g(x)=-f(x)\\\\g(x)=-2^x[/tex]
Related Questions
WILL GIVE BRAINEST
Which system of inequalities is shown?
Answers
The system of inequalities are y > x and y > 4 option (C) y > x, y > 4 is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have a graph shown in the picture,
As we can see in the picture there two lines are shown which represent the inequality and the shaded region is the solution to the pair of the linear inequality.
y > x and
y > 4
Thus, the system of inequalities are y > x and y > 4 option (C) y > x, y > 4 is correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
A gas tank has a leak. Each hour it loses 3 gallons of gas. Write the equation that represents how much gas, g , the tank loses over h hours.
Answers
The rate of change, or the slope, of this relationship is -3 gal / hr
Which statement best describes one of these transformations? Triangle 1 is rotated to result in triangle 2. Triangle 1 is dilated to result in triangle 3. Triangle 1 is reflected to result in triangle 4. Triangle 1 is stretched to result in triangle 5.
Answers
Answer:
Triangle 1 is rotated to result in triangle 2.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
GOT IT RIGHT
Glenda began the day with a golf score of -6 and ended with a score of -10. Which statement represents her golf score for that day?
A) -6 - ( - 10) = 4
B) - 10 - ( - 6) = - 4
C) - 6 + ( - 10) = - 16
D) - 10 + ( - 6) = - 16
Answers
She started with -6 and ended up with -10 so her score was 4 less than what she started with so it is -4
what is the answer 4(6/10−1/5)+0.4=
Answers
The task here is EVALUATION: Finding the value of a mathematical expression.
Use Order of Operations rules. Often dubbed "PEMDAS," these rules start by emphasizing that anything enclosed inside parentheses MUST be done first. Next come mult. and di. Last are add'n and subt'n.
In 4(6/10−1/5)+0.4, we MUST combine 6/10 and -1/5 FIRST.
That's the same as 3/5-1/5, or 2/5. Then the problem looks like:
Evaluate: 4(2/5)+0.4
Now, we MUST multiply before adding or subtracting. We get
8/5 + 4/10, or 16/10+4/10 = 20/10, or 2 (answer).
Or in shorter answers 2
If p(a) = 0.65, p(b) = 0.58, and p(a and
b.= 0.76, then p(a or
b.is:
Answers
The value of P( a or b)= 0.47.
what is Conditional Probability?The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is determined by multiplying the likelihood of the earlier occurrence by the increased likelihood of the later, or conditional, event.
Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. P(A|B) illustrates it.
Given:
p(a) = 0.65, p(b) = 0.58, and p(a and b)= 0.76
Now, using the formula
P(a∪b) = P(a) + P(b) - P(a∩b)
= 0.65 + 0.58 - 0.76
= 0.47
Hence, the value of P( a or b)= 0.47.
Learn more about conditional probability here:
https://brainly.com/question/10567654
#SPJ2
I suck at word problems help
Answers
hope this helped
A shop advertised a 22%-off sale. If a coat originally sold for $257, find the decrease in price and the sale price
Answers
Which number is a factor of 20 and also a prime number?
A.
4
B.
5
C.
7
D.
10
Answers
thus B is your Answer.
Find 14+1320
. Write your answer as a fraction in simplest form.
Answers
hope this helps
----------- --------------+---------------- =-----------------
10 4 20 10
Cody saves all his nickles. Today he is getting them out of his piggy bank and wrapping them to take to the bank. He finds he has 360 nickels. It takes 40 Nicole's to fill each paper wrapper and make a roll. How many wrappers does he need? Explain how you solved this problem and how you know your answer is correct.
Answers
Divide 360 by 40
360/40 = 9
Cody needs 9 wrappers.
3rd grader explanation:
Explain that Cody wants to divide 360 into __ groups of 40.
Use an illustration of separating things into equal groups (you can simply use separating 6 objects into equal groups of 2).
Explain that subtraction, multiplication, or addition will not help.
Tell him/her to use division.
Although 360 and 40 are large numbers, explain that the 0's can be removed into 4 and 36.
36 / 4 = 9
Since the answer is 9, Cody needs 9 wrappers.
Have an awesome day! :)
A sample of n = 9 scores has a variance of s2 = 36. what is the estimated standard error for the sample mean? 1 2 4 16
Answers
σ² = 36, the variance
n = 9, the sample size.
The standard deviation is
σ = 6
By definition, the standard error is
σ/√n = 6/3 = 2
Answer: 2
Mara ran 3 km north and then 4 km east. She will finish her run by running directly home. What was the total distance of her run?
Answers
Here's a crash course: any length of a side (a) squared plus the other side of a triangle (b) squared is equal to the long side (c) squared. This also works if you're trying to find the length of the diagonal of a square.
So, if Mara ran 3 km north then 4 km east, you would come out with the equation:
3^2+4^2=c^2
Solve using order of operations.
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c
This is the length of the run directly home. To get the total distance run, just add up all the sides of her triangle-shaped run.
3+4+5=12
She ran 12 km.
Hope this helps!
The total distance of her run is 12 Km and this can be determined by using the Pythagorean theorem.
Given :
Mara ran 3 km north and then 4 km east.Mara will finish her run by running directly home.The following steps can be used in order to determine the total distance of Mara run:
Step 1 - The Pythagorean theorem can be used in order to determine the total distance of her run.
Step 2 - The Pythagorean theorem is given below:
[tex]\rm H^2 = P^2+B^2[/tex]
where H is the hypotenuse, B is the base, and P is the perpendicular.
Step 3 - Now, substitute the values of the known terms in the above expression.
[tex]\rm H^2 = (3)^2+(4)^2[/tex]
H = 5 Km
Step 4 - So, the total distance of Mara run is given below:
Total distance = 5 + 4 + 3 = 12 Km
For more information, refer to the link given below:
https://brainly.com/question/21149612
What is the solution set of {x | x < -5} ∩ {x | x > 5}?
Answers
Evaluate the triple integral of f(x,y,z)=z(x2+y2+z2)−3/2f(x,y,z)=z(x2+y2+z2)−3/2 over the part of the ball x2+y2+z2≤49x2+y2+z2≤49 defined by z≥3.5z≥3.5. ∫
Answers
[tex]f(x,y,z)=z(x^2+y^2+z^2)^{-3/2}=\dfrac z{(x^2+y^2+z^2)^{3/2}}[/tex]
(as opposed to subtracting 3/2, say)
Convert to spherical coordinates, taking
[tex]\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}\implies\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi[/tex]
Now when [tex]z=\dfrac72[/tex], below the "cap" of the ball we have a right triangle with hypotenuse coinciding with the ball's radius and a leg of length [tex]\dfrac72[/tex], with the angle between them [tex]\varphi[/tex] satisfying
[tex]\cos\varphi=\dfrac{\frac72}7=\dfrac12\implies\varphi=\cos^{-1}\dfrac12=\dfrac\pi3[/tex]
Furthermore, when [tex]z=\dfrac72[/tex], we have
[tex]\dfrac72=\rho\cos\varphi\implies\rho=\dfrac72\sec\varphi[/tex]
Call the cap [tex]C[/tex]. Then the triple integral over [tex]C[/tex] is
[tex]\displaystyle\iiint_Cf(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=7/2\,\sec\varphi}^{\rho=7}\frac{\rho\cos\varphi}{(\rho^2)^{3/2}}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi[/tex]
[tex]=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/3}\int_{\rho=7/2\,\sec\varphi}^{\rho=7}\cos\varphi\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi[/tex]
[tex]=\displaystyle\pi\int_{\varphi=0}^{\varphi=\pi/3}\sin2\varphi\left(7-\dfrac72\sec\varphi\right)\,\mathrm d\varphi[/tex]
[tex]=\displaystyle\frac{7\pi}2\int_{\varphi=0}^{\varphi=\pi/3}(2\sin2\varphi-\sin2\varphi\sec\varphi)\,\mathrm d\varphi=\frac{7\pi}4[/tex]
To evaluate a triple integral over a region of a sphere, we switch to spherical coordinates. We then express the integrand and the limits of the variables in terms of these new coordinates. Don't forget the Jacobian when changing variables.
Explanation:The subject is a mathematical problem that requires evaluating a triple integral over a specific part of a ball in three-dimensional space. The function to integrate is f(x,y,z)=z*(x2+y2+z2)-3/2 and the region of integration is defined as the part of the sphere with radius 7 (x2+y2+z2<=49) in which z >= 3.5. Unfortunately, the solution to such a problem requires advanced mathematical skills and knowledge, such as spherical coordinates and integration techniques, which cannot be elaborated within the word limit here.
However, to solve such problems, you typically switch to spherical coordinates, where x=r*cos(theta)*sin(phi), y=r*sin(theta)*sin(phi), z=r*cos(phi). Then, you express your function and the limits of your variables r, theta, and phi in terms of these new coordinates. You need to consider the Jacobian determinant when changing variables. Eventually, you integrate over the specified region. The solution needs careful elaboration of every step due to the complexity of the integral.
Learn more about Triple Integral here:https://brainly.com/question/32510822
#SPJ3
Find the length of the curve. r(t) = 3 i + t2 j + t3 k, 0 ≤ t ≤ 1
Answers
[tex]\displaystyle\int_C\mathrm dS=\int_{t=0}^{t=1}\|\mathbf r'(t)\|\,\mathrm dt=\int_{t=0}^{t=1}t\sqrt{9t^2+4}\,\mathrm dt=\frac{13\sqrt{13}-8}{27}[/tex]
To determine the length of the curve, we find the derivative of the given vector function, compute its magnitude, and then compute the integral of the magnitude from 0 to 1. This involves calculus techniques.
Explanation:To find the length of the curve, we have to compute the integral of the magnitude of the derivative on the interval from 0 to 1. First, we find the derivative of r(t) = 3 i + t^2 j + t^3 k which is r'(t) = 2t j + 3t^2 k. The magnitude of r'(t) is |r'(t)| = sqrt((0)^2 + (2t)^2 + (3t^2)^2) = sqrt(4t^2 + 9t^4). Thus the length of the curve is the integral of this magnitude from 0 to 1: ∫ from 0 to 1 of sqrt(4t^2 + 9t^4) dt. This integral can be evaluated using techniques from calculus.
Learn more about length of the curve here:https://brainly.com/question/35471669
#SPJ3
Figure ABCDE is the result of a 180° rotation of Figure LMNOP about the point. Which angle in the pre-image corresponds to ∠B in the image? Enter your answer in the box.
Figure L M N O P is rotated 180 degrees about a point resulting in image A B C D E.
Answers
Answer: ∠M in the pre-image corresponds to ∠B in the image.
Step-by-step explanation:
When we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N ,O .
Clearly , vertex C corresponds to vertex N ( presents in the middle )
Also, point B is at the right from point C .
In Figure L M N O P , vertex M is at the right from vertex N .
Thus , vertex M corresponds the vertex B.
It means ∠M in the pre-image corresponds to ∠B in the image.
if you have 12 fish and 6 drown how many do you have left?
Answers
I need help! Rewrite each product below using Distributive property.
a: 18(26)
b: 6(3405)
c: 21(35)
Thanks!!!p
Answers
a. 18(26) →18 × 26 = 468
b. 6(3405) → 6 × 3405 = 20,430
c. 21(35) → 21 × 35 = 735
The numbers in bold are the answers. Hope this helps and have a phenomenal day!
By using distributive property, the answers are :(a)468, (b) 20430, (c) 735.
Explain, distributive property.Distributive property is the mathematical property to solve expressions in the form of a(b + c), in which firstly bracket term is solve and then other terms are solved.
(a)
The given term is,
18(26),
According to distributive property, bracket changes in multiply.
Therefore, 18(26)⇒18×26=468.
(b)
The given term is,
6(3405),
According to distributive property, bracket changes in multiply.
Therefore, 6(3405)⇒6×3405=20430.
(c)
The given term is,
21(35),
According to distributive property, bracket changes in multiply.
Therefore, 21(35)⇒21×35=735.
To know more about Distributive property on :
https://brainly.com/question/13130806
#SPJ2
joe is using his allowance money to download songs from the internet. he can download them at a rate of eight songs every 10 minutes. Jasmine, who is downloading songs with the money she made from her part time job, can download at a rate of 12 songs every 15 minutes. Who is downloading songs faster?
Answers
Joe: 8 songs in 10 minutes = 8/10 = 0.8 songs per minute
Jasmine: 12 songs in 15 minutes = 12/15 = 0.8 songs per minute
they are downloading at the same speed
Which situation could best be represented by this linear equation?
2.75x + 3.25y = 215
Answers
answer is the last one (D)
Answer:
The correct option 4.
Step-by-step explanation:
The given equation is
[tex]2.75x+3.25y=215[/tex] .... (1)
Let x is the number of pretzels sold and y is the number of popcorn bags sold.
Total sales is defined as
[tex]Sales=C_1x+C_2y[/tex] ... (2)
From (1) and (2) it is clear that,
The cost of each pretzel is $2.75 or 275 cents. The cost of each popcorn bag is $3.25 or 325 cents ($1 = 100 cents). Total sales is $215.
[tex]325-275=50[/tex]
Pretzels cost is 50 cents less than popcorn bags. The variable x represents the number of pretzels sold and y represents the number of popcorn bags sold. The total sales was $215.
Therefore the correct option 4.
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x < 2 and y ≤ 4x + 1
(5, 6)
(5, –2)
(–3, –15)
(1, 11)
Answers
x < 2
y ≤ 4x + 1
Graph the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
Rajendra has 14 4/5 pounds of trail mix. He is putting them into bags that hold 1 1/2 pounds each. Does he have enough trail mix to completely fill 8 bags?
Answers
~PutarPotato
Answer: Yes , Rajendra has enough trail mix to completely fill 8 bags.
Step-by-step explanation:
Given : Total trail mix Rajendra has = [tex]14\dfrac{4}{5}[/tex] pounds
Convert [tex]14\dfrac{4}{5}[/tex] into improper fraction.
[tex]14\dfrac{4}{5}=\dfrac{(14)(5)+4}{5}=\dfrac{74}{5}[/tex]
Amount of mix in each bag = [tex]1\dfrac{1}{2}[/tex] pounds.
[tex]=\dfrac{1(2)+1}{2}=\dfrac{3}{2}[/tex] pounds
Then, the total number of bags can be filled by the trail mix Rajendra has
= Total trail mix ÷ Amount of mix in each bag
[tex]=\dfrac{74}{5}\div\dfrac{3}{2}[/tex]
[tex]=\dfrac{74}{5}\times\dfrac{2}{3}=\dfrac{148}{15}=9.86666666667\approx9[/tex]
It means Rajendra has enough trail mix to fill 9 bags.
Since 9 > 8
Therefore , Rajendra has enough trail mix to completely fill 8 bags.
Two redwood trees are the same height. A third tree's height is x feet. The first tree is 50 feet more than three times the height of the third tree. The second tree is 100 feet taller than twice the height of the third tree. What is the height, in feet, of the third tree? A. 150 B. 50 C. 200 D. 100
Answers
3rd tree = x
1st tree = 3x+50
2nd tree = 2x+100
3x+50 = 2x+100
subtract 50 from each side
3x= 2x+50
subtract 2x from each side
x = 50
so 3rd tree = 50 feet tall
Answer is B
On your last credit card statement, you had a previous balance of $98.14, payments of $10, a periodic rate of 1.34 percent, and new charges totaling $34.89. What is your new balance?
A. $88.14
B. $100.58
C. $124.21
D. $189.35
Answers
An angle measures 54 less than the measure of a complementary angle. What is the measure of each angle?
Answers
Bill worked 24 hours last week and earns $8.25 per hour. Use front-end estimation to find an estimate of the total amount of money he earned.
Answers
Answer:
The total amount of money he earned was $160
Step-by-step explanation:
Bill worked 24 hours last week
He earns $ 8.25 per hour.
We have to use front-end estimation, we have to round to the first number all the values. So. Bill worked h = 20 hours and he earns 3 =$8 per hour.
Total amount (T) wil be the hours (h) multiplied by the earning (e)
T = h*e
T = (20 hours)(8 $/hours)
T = 160 $
After using front-end estimation, we can conclude that Bil earned $160.
labored 24 hours remaining week
He earns $ 8.25 in step per hour.
We should use the front-stop estimation, we have to round to the first number of all of the values. So. invoice worked h = 20 hours and he earns 3 =$eight according to an hour.
the entire amount (T) can be the hours (h) extended through the earning (e)
T = (20 hours)(eight $/hours)
T = 160 $
After using front-end estimation, we will conclude that Bil earned $one hundred sixty.
How do you calculate front-end estimation?front-cease estimation is a particular way of rounding numbers to estimate sums and variations. to apply the front-end estimation, add or subtract the handiest of the numbers in the finest location cost. Then upload the decimals rounded to the closest 10th.
what are front-end estimation examples?
In the front-cease estimation, we replace the original quantity with quite a number it is close by but the handiest has one non-zero digit. as an example, 20, three hundred, -50, 1,000, eighty,000. Take the quantity 32; the selections to update it with are 30 or forty (they both have the handiest one non-0 digit).
Learn more about front-end estimation here: https://brainly.com/question/27844442
#SPJ2
Find the missing numbers 85,95, _ ,100,105, _
Answers
Note that 85 plus 5 is 90; 90 plus 5 is 95; 95 plus 5 is 100; 100 plus 5 is 105.
This is just an example to show you one possibility.
This is an arith. sequence ONLY IF you add the SAME number each time to find the next term of the sequence.
A four person relay team completed a race in 72.4 seconds. On average what was each runner's time?
Answers
72.4/4=18.1
Answer:
i believe it's 18.1
Step-by-step explanation:
Which phrase describes the variable expression k -7? A) 7 less then k B) 7 more then k C) The quotient of k and -7 D) The product of k and -7
Answers
hope this helps