Answer:
[tex]35x - \frac{9x^2}{2} + C[/tex]
Step-by-step explanation:
The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.
Thus 35 - 9x becomes [tex]35x - \frac{9x^2}{2} + C[/tex]. We add a constant C for any possible constant that was eliminated during differentiation.
Which expression is equivalent to 1/2x - 1? *
a) 1/3(3/2x - 1)
b) (3/2x + 1) - (x - 2)
c) 2/3(3/4x - 3/2)
d) (3/4x - 2) + (1/4x + 1)
Ans: It's C
'Cause (2/3 * 3/4x)+(2/3 * (-3/2)) = 1/2x - 1.
The expression which isequivalent to (1/2)x - 1 will be 2/3(3/4x - 3/2). Then the correct option is C.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let's check all the options, then we have
a) 1/3(3/2x - 1), simplify the expression, then we have
⇒ 1/3(3/2x - 1)
⇒ (1/2)x - 1/3
b) (3/2x + 1) - (x - 2), simplify the expression, then we have
⇒ (3/2x + 1) - (x - 2)
⇒ (1/2)x + 3
c) 2/3(3/4x - 3/2), simplify the expression, then we have
⇒ 2/3(3/4x - 3/2)
⇒ (1/2)x - 1
d) (3/4x - 2) + (1/4x + 1), simplify the expression, then we have
⇒ (3/4x - 2) + (1/4x + 1)
⇒ x - 1
The expression which isequivalent to (1/2)x - 1 will be 2/3(3/4x - 3/2). Then the correct option is C.
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The rate of change of a bacteria (N) with respect to time is directly proportional to itself. When t=0, N=500. When t=4, N=3000. How many bacteria will be present when t=8?
Carbon-14 has a half-life of 5715 years. Find the rate of decay, if the initial amount of carbon-14 is 10 units.
Please explain (step by step is preferred)
Fine the average rate of change by the difference in N over the difference in T:
3000 - 500 / 4-0 = 2500 / 4 = 625
This means for every 1 T, N = 625.
Now multiply 625 by 8:
625 x 8 = 5000
When T = 8 N = 5,000
The decay rate can be found by dividing -ln(2) by the half life.
Decay rate = -ln(2) / 5715 = -0.00012
Compute the greatest prime factor of 9951
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The greatest prime factor is 9951 is 107.
You divide 9951 by 3, and you get 3317.
You divide 3317 by 31 (which is a prime number), and you get 107, which is also a prime number.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
the solution set of this inequality?
−2x+7<23
I think the answer is x > -8.
Answer:
x > - 8
Step-by-step explanation:
Given
- 2x + 7 < 23 ( subtract 7 from both sides )
- 2x < 16 ( divide both sides by - 2 )
Remembering to reverse the inequality symbol when dividing/ multipkying by a negative quantity, hence
x > - 8 ← reversed symbol
Which measurements could NOT represent the side lengths of a right triangle? * 1 point A. 6 cm, 8 cm. 10 cm B. 12 cm, 35 cm, 37 cm C. 4 cm, 6 cm, 10 cm D. 10 cm, 24 cm, 26 cm
Answer:
C. 4cm, 6cm, 10cmStep-by-step explanation:
Is a ≤ b < c are the side lengths of a right triangle, then
[tex]a^2+b^2=c^2[/tex]
A. 6cm, 8cm, 10cm.
Substitute:
[tex]6^2+8^2=10^2\\36+64=100\\100=100\to TRUE[/tex]
B. 12cm, 35cm, 37cm.
Substitute:
[tex]12^2+35^2=37^2\\144+1225=1369\\1369=1369\to TRUE[/tex]
C. 4cm, 6cm, 10cm.
It's not the side lengths of a triangle, because 4 + 6 = 10.
Without looking at it, we will check equality
[tex]4^2+6^2=10^2\\16+36=100\\52=100\to FALSE[/tex]
D. 10cm, 24cm, 26cm.
Substitute:
[tex]10^2+24^2=26^2\\100+576=676\\676=676\to TRUE[/tex]
The measurement that could not represent the side length of a right triangle is 4 cm, 6 cm, 10 cm.
What is a right triangle?A right triangle is a triangle that consists of three sides. The longest side is the hypotenuse. The other sides are the base and the length. The sum of angles in a triangle is 180 degrees.
What is the Pythagoras theorem?According to this theorem, the square of the hypotenuse should be equal to the sum of the square of the other two sides.
The Pythagoras theorem: a² + b² = c²
where:
a = length
b = base
c = hypotenuse
Which measurements do not represent the side lengths of the right triangle?6² + 8² = 10²
36 + 64 = 100
Option B = 12² + 35
= √144 + 1225
= √1369
= 37
Option C = 4² + 6²
16 + 36
= √52
= 7.2
Option D: 10² + 24² = 26²
100 + 576
= √676
= 26
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Plz Help Me
Select the correct answer from each drop-down menu.
In a given year, two tennis academies each had 120 players who went on to play professionally. In the following years, the number of players who went on to play professionally from academy A increased by 10 players every year. The number of players who went on to play professionally from academy B increased by 10% every year.
Use the given information to complete the sentence.
The number of players who went on to play professionally at (academy A, academy B, both academy) can be represented by (an arithmetic, a geometric) sequence because the numbers of players who went on to play professionally in successive years have a common (difference, ratio) of 10
Answer:
Academy A, Arithmetic, and difference makes most sense to me.
Academy A's professional tennis player numbers can be described by an arithmetic sequence due to a constant increase of 10 every year. In contrast, Academy B's numbers can be represented by a geometric sequence because the increase each year is proportionate to the current number of students, at a rate of a 10% increase per year.
Explanation:The number of players who went on to play professionally at Academy A can be represented by an arithmetic sequence because the numbers of players who went on to play professionally in successive years have a common difference of 10. For Academy A, each year the number increased by a consistent amount, 10 more players, hence the use of an arithmetic sequence.
On the other hand, the number of players who went on to play professionally at Academy B can be represented by a geometric sequence because the numbers of players who went on to play professionally in successive years have a common ratio of 10%. For Academy B, the rate of increase is proportional to the current number of students, which makes it a geometric sequence.
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Which equation can be used to find the volume of the right rectangular prisms
A) V = (10)(5)
B) V = (10)(2)
C) V = (10)(5)(2)
D) V = 10(5 + 2)2
The answer is C because it’s length x width x height
Answer:
C) V = (10)(5)(2)
Step-by-step explanation:
V = (10)(5)(2) To find the volume of a right rectangular prisms, multiply the length times the width times the height. -- V = lwh.
Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?
Answer:
Raise 3 to the number of days and then multiply this value by 2.
Step-by-step explanation:
TTM/Imagine Math.
The correct answer is:
C. Raise the number of days to the third power and then multiply this value by 2.
Sure, here's a step-by-step solution:
1. Initial Number of Infected People: Start with the initial number of infected people, which is 2 in this case.
2. Exponential Growth Model: Use the exponential growth model to represent the increase in the number of infected people each day. The model is given by the formula [tex]\(I = a \cdot 3^D\)[/tex], where:
- [tex]\(I\)[/tex] is the number of infected people,
- [tex]\(a\)[/tex] is the initial number of infected people (which is 2),
- [tex]\(3\)[/tex] represents the tripling effect each day, and
- [tex]\(D\)[/tex] is the number of days that have passed.
3. Raise 3 to the Power of Number of Days: Raise 3 to the power of the number of days that have passed. This accounts for the tripling effect each day.
4. Multiply by Initial Number of Infected People: Multiply the result from step 3 by the initial number of infected people (which is 2). This gives the total number of infected people after the given number of days.
So, to determine the number of infected people from the number of days that have passed, raise 3 to the power of the number of days and then multiply this value by 2. Therefore, option C is the correct answer.
The correct question is:
Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?
A. Raise 3 to the number of days and then multiply this value by 2 .
B. Add the number of days to 2 and then multiply this sum by 3.
C. Raise the number of days to the third power and then multiply this value by 2 .
D. Multiply the number of days by 3 and then add 2 to this product.
Find the measure of an angle with measure between 0 degrees and 360 degrees that is coterminal with an angle measuring 800 degrees.
To find a coterminal angle to 800 degrees within the 0 to 360-degree range, divide 800 by 360 and find the remainder, which is 80 degrees. Hence, 80 degrees is the angle that's coterminal with 800 degrees.
Explanation:To find an angle that is coterminal with 800 degrees, which means an angle that shares the same terminal side as the 800-degree angle but is between 0 degrees and 360 degrees, we use the concept of coterminal angles. Since a complete circle has 360 degrees, we can subtract or add multiples of 360 degrees to any angle to find a coterminal angle.
Here’s how we find it for 800 degrees:
Divide 800 by 360 to find how many complete turns the angle makes: 800 ÷ 360 = 2.22. This shows the angle makes more than 2 full rotations.Find the remainder when 800 is divided by 360 to find the coterminal angle within the 0 to 360-degree range. The remainder is 80 degrees (800 - 720 = 80).Therefore, 80 degrees is the angle between 0 degrees and 360 degrees that is coterminal with an angle measuring 800 degrees.
the starting salary at a company is $38000 per year.the company automatically gives a raise of 3.5% per year.write the explicit and recursive frmulas for the geometric sequence formed by the salary increase.
Final answer:
The explicit formula for the salary increases represented as a geometric sequence is a_n= 38,000(1.035)^(n-1), and the recursive formula is a_1= $38,000 and a_n= a_(n-1) × 1.035 for n > 1, reflecting an annual raise of 3.5%.
Explanation:
The starting salary at a company is $38,000 per year with an annual raise of 3.5%. To represent the salary increases as a geometric sequence, we need both explicit and recursive formulas.
The explicit formula for a geometric sequence is an= a1 × r(n-1), where a1 is the first term, r is the common ratio, and n is the term number. In this case, a1= $38,000 and r = 1.035 (since the salary increase is 3.5%, or 0.035 in decimal form, plus the original amount, hence 1 + 0.035). Therefore, the explicit formula is an= 38,000(1.035)(n-1).
The recursive formula defines each term based on the previous term. It can be written as a1= $38,000, an= a(n-1) × 1.035, for n > 1. This means that starting from the second year (when n > 1), the salary is obtained by multiplying the previous year's salary by 1.035.
Simplifying the expression results in what binomial expression?
The answer is 2x−5
Step-by-step explanation:see the image
Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard deviation is 1.6.A sample of 60 provided a sample mean of 19.6. The population standard deviation is 1.6.a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign.b. What is the p-value (to 3 decimals)?d. Using = .05, what is the critical value for the test statistic (to 3 decimals)? If your answer is negative, use minus "-" sign. _______What is the rejection rule using the critical value?Reject H0 if z ____ _____
Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
The test statistic is approximately -4.84 with a p-value close to 0. The critical value is approximately -1.645. The rejection rule is to reject H0 if z < -1.645.
Explanation:a. To compute the test statistic, we can use the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Given x = 19.6, μ = 20, σ = 1.6, and n = 60, we can calculate the test statistic as follows:
z = (19.6 - 20) / (1.6 / √60) = -1 / 0.2062 ≈ -4.84
b. The p-value can be determined by looking up the test statistic in the standard normal distribution table. However, in this case, the test statistic is already given as -4.84. The p-value associated with this test statistic is extremely small (close to 0), indicating strong evidence against the null hypothesis.
d. For a significance level α = 0.05, the critical value can be obtained by finding the z-score that corresponds to a cumulative probability of 1 - α = 0.95. Looking up this value in the standard normal distribution table, we find that the critical value is approximately -1.645.
The rejection rule using the critical value is: Reject H0 if z < -1.645.
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Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide. One foot of the fence costs $43. The cost of the gate is $128. Write an expression that represents the total cost of the fence and the gate. Explain how you determined your expression.
Answer:
The expression would be 43x + 128
Step-by-step explanation:
43 dollars is multiplied by however many feet is used. Then, the exception(the gate) is added to the charge that is 43x
This sphere has a diameter of 12 meters.
What is its exact surface area and its exact volume?
Show the formulas and show your work.
Answer:
area: 144π m²volume: 288π m³Step-by-step explanation:
The formula for the surface area of a sphere is ...
A = 4πr²
For a radius of 6 meters, that is ...
A = 4π(6 m)² = 144π m²
___
The formula for the volume of a sphere is ...
V = (4/3)πr³ = A·(r/3)
For the same sphere, this is ...
V = (144π m²)(6 m/3) = 288π m³
If the radius of a circle is 14 ft, then the diameter of the circle is _____.
7 ft
28 ft
42 ft
87.92 ft
Answer:
The answer is 28ft.
Step-by-step explanation:
A radius will always be exactly half of the diameter: meaning, the diameter is double the length of the radius.
What is the value of x?
Last question please!
Answer:
x = -1
Step-by-step explanation:
-2 to 2 is 4 units, so -3x + 1 = 4.
We subtract 1 from both sides to get -3x = 3.
Then we divide each side by -3 to get x = -1.
Can someone help me ? i have no clue how to figure this out
[tex] \cos t (\sec t - \cos t) = \sin^2 t [/tex]
[tex] \cos t (\dfrac{1}{\cos t} - \cos t) = \sin^2 t [/tex]
[tex] \dfrac{\cos t}{\cos t} - \cos^2 t = \sin^2 t [/tex]
[tex] 1 - \cos^2 t = \sin^2 t [/tex]
Use the identity: [tex] \sin^2 t + \cos^2 t = 1 [/tex] and solve for [tex] \sin^2 t [/tex]. You get: [tex] \sin^2 t = 1 - \cos^2 t [/tex]
Do the substitution on the left side to get:
[tex] \sin^2 t = \sin ^2 t [/tex]
[tex] \cos \: t ( \sec \: t - \cos \: t) = \sin^{2}t \\ \\ 1. \: 1 - \frac{ \cos \: t }{ \sec \: t } = \sin^{2} t \\ 2. \: 1 - \cos \: t \cos \: t = \sin^{2} t \\ 3. \: 1 - \cos^{2} t = \sin^{2} t \\ 4. \: 1 - \cos^{2} t - \sin^{2} t = 0 \\ 5. \: 1 - 1 = 0 \\ 6. \: 0 = 0 \\ 7. \: infinitely \: many \: solutions[/tex]
The length of a rectangle is twice its width. If the area of the rectangle is 5 , find its perimeter
Answer:
9.48
Step-by-step explanation:
The perimeter of a rectangle is the distance around the the shape. It can be found by adding each side of the shape to find a total. In contrast, the area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is twice its width or 2w, use these expressions in the area formula to find their amount. Then add them together to find the perimeter.
[tex]A = l*w5 = w(2w)\\5 = 2w^2\\2.5 = w^2\\1.58 = w[/tex]
The width of the rectangle is w = 1.58. The length is 2w = 2 (1.58) = 3.16.
Add these amounts by P = l + l + w + w to find the perimeter.
P = 3.16 + 3.16 + 1.58 + 1.58 = 9.48
The temperature in frostville was at 50*F at midnight,and it dropped at a constant rate for the next 10 hours.
After 10 hours the temperature is shown on the graph as 30 degrees.
50 degrees - 30 degrees = 20 degrees.
The temperature dropped 20 degrees in 10 hours.
Divide the change by the time:
20 degrees / 10 hours = 2 degrees per hour.
Because the temperature dropped, the change would be negative.
The answer is D. -2 degrees per hour.
What is the inequality for this verbal description?
The value of y is greater than the sum of negative eight times the value of x and nine
Answer:
B
Step-by-step explanation:
We can see Part by Part to get this question.
"The value of y is greater than.." -- this part implies y >"The sum of negative 8 times x and 9" -- we need to multiply -8 and x and SUM it to 9. thus we have:-8*x + 9
Now we can finally write:
y > -8x + 9
Answer choice B is right.
The temperature in Franklin city is -5°C. The temperature in Silver city is 4° less what is the temperature in Silver city .
Answer:
-9 C
Step-by-step explanation:
Subtract 4 from -5 will equal -9
Estimate the limit.
Answer:
a. 0.25
Step-by-step explanation:
The given expression is
[tex]\lim_{x \to 2} \frac{x-2}{x^2-4}[/tex]
Factor the denominator using difference of two squares.
[tex]\lim_{x \to 2} \frac{x-2}{(x-2)(x+2)}[/tex]
Cancel out common factors;
[tex]\lim_{x \to 2} \frac{1}{(x+2)}[/tex]
We plug in 2 to get
[tex]\lim_{x \to 2} \frac{1}{(x+2)}=\frac{1}{2+2}[/tex]
[tex]\lim_{x \to 2} \frac{1}{(x+2)}=\frac{1}{4}=0.25[/tex]
Answer:
The correct answer option is A. 0.25.
Step-by-step explanation:
We are given the following expression and we are to find its limit:
[tex] lim_\left \{ {{ x = 2 } [/tex] [tex] \frac { x - 2 } { x ^ 2 - 4 } [/tex].
First of all, we will simplify the expression by factorizing the term in the denominator:
[tex] \frac { x - 2 } { x ^ 2 - 4 } = \frac { x - 2 } { ( x - 2 ) ( x + 2 ) }[/tex]
Cancelling the common terms to get:
[tex]\frac{1}{x+2}[/tex]
Substituting the given value for x to get:
[tex]\frac{1}{2+2}[/tex] = 0.25
Please answer this question! 25 points and brainliest!
chur answer is gonna be 63787 km
Linda has a bag of marbles. She chooses a marble from the bag, writes down the color, and places the marble back in the bag. She repeats this process 130 times. Linda calculates the relative frequency of each color marble. Outcome Orange Green Black Yellow Blue Relative frequency 0.18 0.20 0.19 0.22 0.21 Which statement about Linda's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Linda's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Linda's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Linda's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Linda's experiment.
Answer:
this is the correct answer 100% correct dont forget to friend request me bye
Step-by-step explanation:
the base are of a cylinder is the quotient of its volume and its height true or false
Answer:
True.
Step-by-step explanation:
Volume of a cylinder = π r^2 h where h = height and π r^2 = the base area.
Volume / height = π r^2 h / h = π r^2 = base area.
The base area of a cylinder is not the quotient of its volume and its height; it is determined by the area of its circular base. Understanding the relationship between base area and volume in a cylinder is essential in mathematics.
False. The base area of a cylinder is not the quotient of its volume and height. The base area of a cylinder is the same as the area of its circular base, which is equal to πr2 where r is the radius of the base.
The volume of a cylinder is calculated by multiplying the base area with the height of the cylinder. Thus, base area ≠ volume / height.
When the height of a cylinder is equal to its diameter, it minimizes the surface area, but it does not affect the calculation of the base area itself.
What is the total number of digits required in numbering the pages of a book which has 53 pages?
Answer:
The total number of digits required in numbering the pages of a book that has 53 pages would be: 97.
Step-by-step explanation:
This answer would be 97 due to the first nine digits being singular.
The next 44 digits are double, so therefore, you multiply 44 by 2, and you end up with 88.
After that, you take 88 and add the 9, which, is 97 digits in total that you would need to number a 53 page book.
How does f(x) = 5x change over the interval from x = 7 to x = 8?
A) f(x) increases by 5
B) f(x) decreases by 5
C) f(x) increases by a factor of 5
D) f(x) decreases by a factor of 5
Answer:
the answer is a
Step-by-step explanation:
5x7= 35, 5x8= 40 40-35=5
Jim Juice treats that are in the shape of a cone. The molds he bought are each 3 inches (in.) deep with a diameter of 3 in. What is the approximate volume of juice needed for Jim to make 6 juice treats?
A.169.6 in
B.127.2 in
C.84.8 in
D.42.4 in
Answer:
Option D. [tex]42.4\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cone (juice treats) is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
we have
[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter
[tex]h=3\ in[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]V=\frac{1}{3}(3.14)(1.5)^{2}(3)=7.065\ in^{3}[/tex]
Multiply the volume of one juice treats by 6
[tex](6)7.065=42.39=42.4\ in^{3}[/tex]
A pendulum swings an arc with a length equal to 15 meters. Each subsequent swing is 95% of the previous swing.
a) How far with the pendulum travel on its 6th swing?
b) How far will the pendulum swing before it essentially stops? Hint: This is an infinite geometric series.
Show all work and explain your reasoning.
Answer:
The answers for your two questions are the following
a)11.606 m
b) As the number of swings approaches infinity
Step-by-step explanation:
We are dealing with an exponential equation series, where the length of each swing can be represented as
l = [ 15 *(0.95)^(n-1) ]
n is the corresponding number of the swing.
So, for the first swing, n = 1
[ 15 *(0.95)^(1-1) ] = 15 m
a) How far with the pendulum travel on its 6th swing?
We just need to evaluate the previous formula for n = 6
[ 15 *(0.95)^(6-1) ] =
[ 15 *(0.95)^(5) ] =
[ 15 *(0.7737) ] =
[ 15 *(0.7737) ] = 11.606 m
b) How far will the pendulum swing before it essentially stops? Hint: This is an infinite geometric series.
We previously stated that the length of the arc of each swing can be represented as
l(n) = [ 15 *(0.95)^(n-1) ] , for n>=1
Since the function approaches zero if and only if n approaches infinity, we can say that the pendulum never stops.
Of course, this only happens mathematically, we can always fin a threshold for which the movement cannot be registered anymore.
Please see attached graph for a representation of the function
Answer:
a) It will travel approx 79.47 meters,
b) It will travel 300 meters.
Step-by-step explanation:
Given,
The initial distance travel on first swing = 15 meters,
Also, Each subsequent swing is 95% of the previous swing.
Thus, there is a G.P. that shows this situation,
Having first term, a = 15,
And, the common difference, r = 95 % = 0.95,
a) Also, for the 6th swing,
Number of terms, n = 6,
Hence, the distance covered by the pendulum on its 6th swing,
[tex]S_{n}=\frac{a(1-r^n)}{1-r}[/tex]
[tex]S_{6}=\frac{15(1-0.95^6)}{1-0.95}[/tex]
[tex]=79.4724328125\approx 79.47\text{ meters}[/tex]
b) When [tex]n=\infty[/tex]
The distance will the pendulum swing before it essentially stops is,
[tex]S_{\infty}=\frac{a}{1-r}[/tex]
[tex]=\frac{15}{1-0.95}[/tex]
[tex]=300\text{ meters}[/tex]
Find the zeros of f(x)=-3x^3+6x+5.
Answer:
x = 1.723
Step-by-step explanation:
The zeros of a function f(x) are the points where the function crosses the x-axis. At these points, the function will have a value of zero, that is;
f(x) = 0
We simply graph the function and determine the points where it crosses the x-axis. From the attachment, f(x) crosses the x-axis at;
x = 1.723
Answer:
Step-by-step explanation:
We have given the function:
f(x)=-3x³+6x+5.
We have to find the zeros of the function.
The zeros of the function are the points where the function cuts the x-axis.
And at that points function has value zero.
So to find these points put f(x)= 0 we get,
-3x³+6x+5=0
As from the graph the function cuts the x-axis at x = 1.723 so, this is the zero of the function.