Answer:
The relative minimum is (3,-4) and the relative maximum is (-2,1)
Step-by-step explanation:
The first step is to take the derivative of f(x)
By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12
The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3
Put -2 and 3 on a sign chart and determine the behavior for both of those functions
The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).
The next step is to find the f(x) values or y values of your two points
By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1
Since there was interval given, I cannot find the absolute extremas of this function.
Solve for 1/4 of x is 6
Answer: x=24
Step-by-step explanation:
1/4x=6x=6/0.25x=24Other way to do it is 6x4=24PLEASE PLEASE HELP!
My teacher says it really simple but I do not understand thank you so nuch
I'm not sure if my answer will help, but oh well.
So basically congruent means equal. so with the two photos you should be able to tell if they are congruent by looking and measuring there angles, sizes, etc.
# 5 pls !!
find dy/dx by implicit differentiation
Step-by-step explanation:
[tex]5. {x}^{3} - xy + {y}^{2} = 4[/tex]
[tex] \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)[/tex]
[tex]3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} [/tex]
Combine the dy/dx.
[tex] \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} [/tex]
[tex] \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y[/tex]
[tex] \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} [/tex]
[tex] \frac{3 {x}^{2} + y }{x - 2y} [/tex]
Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]
Step-by-step explanation:
using the product rule to differentiate - xy then
3x² - (x[tex]\frac{dy}{dx}[/tex] + y(1) ) + 2y[tex]\frac{dy}{dx}[/tex] = 0
3x² - x[tex]\frac{dy}{dx}[/tex] - y + 2y[tex]\frac{dy}{dx}[/tex] = 0
3x² + [tex]\frac{dy}{dx}[/tex] (2y - x) - y = 0 (subtract 3x² - y from both sides )
[tex]\frac{dy}{dx}[/tex] (2y - x) = y - 3x² ← divide both sides by (2y - x)
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]
Fill in the blanks…..
Answer:
A 18c B 2 qt
Step-by-step explanation:
Basically since 1 pt = 2 c then you multiply pt by 2
Since 4 qt = 1 gal then divide qt by 4.
A bag with 8 marbles has 4 yellow marbles, 3 blue marbles, and 1 red marbles. What is the probabillity that it chosen at random and is yellow?
Answer:
1/2 = 0.5 = 50%
Step-by-step explanation:
Given:
Yellow marbles = 4Blue marbles = 3Red marbles = 1Total marbles = 8[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(yellow) = \dfrac{4}{8}=\dfrac12[/tex]
This can also be written as 0.5 or 50%
Probability of yellow:-
P(Y):-
4/81/20.5PLEASE HELP ASAP
Subtract 5y2 – 64 – 11 from 6y2 + 2y + 5.
Your answer should be a polynomial in standard
form.
Answer:
[tex]y^2 + 2y + 80[/tex]
Step-by-step explanation:
[tex]6y^2 + 2y + 5 - (5y^2 - 64 - 11)[/tex]
[tex]6y^2 + 2y + 5 - 5y^2 + 64 + 11[/tex] [pay attention to the signs :)
[tex]y^2 + 2y + 80[/tex]
what is the area of the figure below
Answer:
47 units.
Step-by-step explanation:
You can split the shape into smaller pieces to make it easier to digest.
4*8 is 32 which is the top rectangle.
9-4=5 since you are trying to figure out the second rectangle, not the whole side length.
5*3=15
15+32=47
The area of the figure is 47 square units.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
From the given figure,
We see that,
Two rectangles can be considered.
Now,
One rectangle:
Length = 8
Width = 4
Area = 8 x 4 = 32
Another rectangle:
Length = 5
Width = 3
Area = 5 x 3 = 15
Now,
The area of the figure,
= 32 + 15
= 47
Thus,
The area of the figure is 47 square units.
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A summer camp has a boy-girl ratio of 8:11 if the camp has 88 boys, what is the total number of children in the camp?
Answer:
Step-by-step explanation:
8:11
What kind of transformation converts the graph of f(x) = -8x2 - 8 into the graph of g(x) =
-x² – 1?
vertical stretch
vertical shrink
horizontal stretch
horizontal shrink
Submit
Answer:
horizontal stretch
Step-by-step explanation:
For f(x) to turn into g(x), you must divide the function by 8. When we divide a function, this is known as a horizontal stretch because as you can see, the function gets wider. See the help image below with different examples.
Just a future tip: when you're in doubt, graph it out!
Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1. Option C is correct.
The general form of the quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
In this case, for f(x) = -8x² - 8, the vertex is at (0, -8).
For g(x) = -x² - 1, the vertex is at (0, -1).
Comparing the two functions, you can see that the coefficient in front of x² changes from -8 to -1.
This change in the coefficient results in a horizontal stretch or compression of the parabola.
In this case, the graph has been horizontally stretched to transform from f(x) to g(x).
Hence, Option c is correct. Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.
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Write an equation for the translation of "left 7 units
Y=|x|
i need the answer to this lol
Please Help!!!!
A ball was thrown upward into the air. The height in feet of the ball, above the ground, t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression?
A.) the ball took three seconds to reach its maximum height
B.) the ball took three seconds to reach the ground
C.) the ball was thrown from a height of three feet
D.) the ball reached a maximum height of three feet
Answer:
The ball was thrown from a height of [tex]3\; {\rm ft}[/tex].
Step-by-step explanation:
The expression for the height of this ball, [tex]h(t) = -16\, t^{2} + 40\, t + 3[/tex], represents a parabola (with respect to time [tex]t[/tex].)
In this expression, "[tex]3[/tex]" represents the [tex]y[/tex]-intercept of the parabola- the output of the parabola when the input is [tex]t = 0[/tex]. The reason is that when [tex]t = 0\![/tex], terms of this parabola that include [tex]t[/tex] ([tex](-16\, t^{2})[/tex] and [tex]40\, t[/tex]) would evaluate to [tex]0[/tex]:
[tex]\begin{aligned}h(0) &= -16\times 0^{2} + 40\times 0 + 3 = 3\end{aligned}[/tex].
In the case of this ball, the term "[tex]3[/tex]" means that height of this ball is [tex]3\; {\rm ft}[/tex] when [tex]t = 0[/tex] (right when the ball was thrown.) Thus, the ball was thrown from a height of [tex]3\; {\rm ft}[/tex].
if i have 2489 friends and 72% of those friends want burgers, and 25% of the 72% want chips too, how many want chios
Answer:
448.02
Step-by-step explanation:
72% of 2489 is 1,792.08
25% of 1,792.08 is 448.02
What are the dimensions of the large rectangle and the small rectangle?
Answer:
there is no picture to give an answer
Answer:
I need the picture to answer the question...
Step-by-step explanation:
(3×1/2) + (6×3/4) + (3×1) + 1 1/4 +1 1/2=
Find the next two terms in this sequence.
8,5,2,-1,-4 [??][??]
Answer: -7 , -10
Step-by-step explanation:
the pattern is that every number gets 3 taken away from the last one (8 - 3 is 5, 5 - 3 is 2, etc)
Answer:
-7, -10.
Step-by-step explanation:
Common difference is - 3 so the next term = -4-3 = -7.
Lucy is 15 years old and has $1000, she invests in a CD paying 8% interest. How many times will her money double by the time she is 60?
Answer:
5
Step-by-step explanation:
(1 + i ) ^45 i = interest in decimal 45 = years
(1.08)^45 = ~~ 32
when she is 65 it will be worth 32 000
so it doubles 5 times (1000 2000 4000 8000 16000 32000)
On a standardized exam, the scores are normally distributed with a mean of 450 and a standard deviation of 25. Find the z-score of a person who scored 470 on the exam.
A Z-score helps us to understand how far is the data from the mean. The z-score of a person who scored 470 on the exam is 0.8.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given the mean is 450, while the standard deviation is 25, therefore, the value of the z-score can be written as,
[tex]Z = \dfrac{X- \mu}{\sigma}\\\\Z(X=470) = \dfrac{470- 450}{25} = 0.8[/tex]
Hence, the z-score of a person who scored 470 on the exam is 0.8.
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What decimal is being represented by the decimal grid?
a. 232
b. 23.2
c. 2.23
d. 2.32
Answer:
232
Step-by-step explanation:
232, because each has 100 squares so if you add the 2 filled squares you will get 200. Then if you count the last one only 32 is filled, when u add it it gives you 232
Lester bought 6.16 pounds of bologna at the deli. Renee bought 1.33 pounds
of bologna. How much more bologna did Lester buy than Renee? Do not
include units in your answer.
Answer:
5.32
Step-by-step explanation:
MARK A BRAIN LESS
CARRY ON LEARNING
B BRAIN LY FAST
The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is important. Using the diagram below identify the specific rigid motions used for the following shapes.
Answer:
a rigid motion does not affect the overall shape of an object but moves an object from a starting location to an ending location the resultant figure in cogruent to the original figure.a rigged motionis when an object is moved from one location to another and the size and shape have not changed.hope it helps :)
What is the height of the building? (show your work) GIVING BRAINLIEST!
Answer:
so
Step-by-step explanation:
what I did was count the lines start from 5m and go on from there hope this helps :)
Help help help math math
[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]
[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]
[tex]2 |x - 3| = 30[/tex]
[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]
[tex] |x - 3| = 15[/tex]
[tex]x - 3 = 15[/tex]
[tex]x - 3 + 3 = 15 + 3[/tex]
[tex]x = 18[/tex]
OR[tex]x - 3 = - 15[/tex]
[tex]x - 3 + 3 = - 15 + 3[/tex]
[tex]x = - 12[/tex]
Help help help math math math
Answer:
uhmm i don't know sorry I am just kind of doing this so I get the credit for answering a question:)
Grayson surveyed some students at his school about their favorite colors. Of the students surveyed, 2 said orange was their favorite color, while 36 of the students had other favorite colors. What is the experimental probability that the next student Grayson talks to will pick orange?
Using it's concept, it is found that there is a 0.0526 = 5.26% experimental probability that the next student Grayson talks to will pick orange.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 2 out of 38 students picked orange as their favorite color, hence the probability that the next student picks orange is given by:
p = 2/38 = 1/19 = 0.0526.
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SOLVE THE EQUATION and explain YOUR ANSWER
Using the given quadratic function, it is found that:
a) The vertex is (-2.5, -15.5).
b) The y-intercept is of -3.
c) The solutions are x = -0.28, x = 5.28.
What is the quadratic function?It is modeled by:
f(x) = 2x² - 10x - 3.
Which means that the coefficients are a = 2, b = -10, c = -3.
What is the vertex of the function?It is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Hence:
[tex]x_v = -\frac{-10}{4} = -2.5[/tex]
[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]
The vertex is (-2.5, -15.5).
What is the y-intercept of the equation?It is the value of coefficient c, hence it is of -3.
What are the solutions?[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]
[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]
[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]
The solutions are x = -0.28, x = 5.28.
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12345+12345+12345+12345
Step-by-step explanation:
12345+12345+12345+12345=12345×49380
What is 3 2/3 - 1 1/4?
Answer:
[tex]2\frac{5}{12}[/tex]
Evaluate. Subtract 3 by 1
[tex]3 - 1 = 2[/tex]
Find the least common denominators of the fractions, multiply them by the least common denominators, then subtract.
[tex]\frac{2 * 4}{3 * 4} = \frac{8}{12}[/tex]
[tex]\frac{1 * 3}{4 * 3} = \frac{3}{12}[/tex]
Now subtract.
[tex]\frac{8}{12} - \frac{3}{12} = \frac{5}{12}[/tex]
Add the whole number you found earlier from subtracting 3 and 1 by the new fraction, 5/12
[tex]2 + \frac{5}{12} = 2\frac{5}{12}[/tex]
Me sucking at math needs help again
10 Points
Answer:
1 is alternate exterior
2 is none of these
3 and 5 are corresponding
4 is alternate interior
Step-by-step explanation:
How much would $600 invested at 8% interest compounded continuously be worth after 3 years. round your answer to the nearest cent. A(t) = P×e^ rt
The amount $600 would be after 3 years at 8% interest compounded continuously is $755.83
How to calculate compound interest?Compound interest are amount of money added on amiunt invested.
Given the following parameters
P = $600
r = 8% = 0.08
t = 3 years
Using the compound interest formula
A(t) = Ao(1+r)^t
A(t) = 600(1.08)^3
A(3) = $755.83
Hence the $600 would amount to after 3 years at 8% interest compounded continuously is $755.83
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find the measures of the missing angles
Answer:
I cannot see the attachment
Step-by-step explanation: