use this equation:
b+t+3+4
The curve y= 1/3 x⁴ - 4x² -3x has a gradient of -3 at three points.
Find the coordinates of these points.
Answer:
[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]
Step-by-step explanation:
Step 1: Take the derivative of the function with respect to x
[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]
Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,
Step 2: Set the derivative of the function equal to -3 and solve for x
[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]
We can see that one solution is x=0.
The other 2 solutions are:
[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]
Now that we found out the x value, we can plug it in back to the equation to find their respective y value:
x=0: y=0
x=sqrt(6): y=-12-3sqrt(6)
x=-sqrt(6): y=-12+3sqrt(6)
Hence we have our answer.
If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)
Answer:
3x²+3x-7
Step-by-step explanation:
(f+g)(x)=2x²+x²+3x-7
=3x²+3x-7
b) Abus covers 270 km distance in 6 hours. (i) Find the speed of the bus in km per bour. (ii) How many kilometres does it travel in 9 hours at the same speed ?in full languages
Answer:
(i)= 45 KPH, (ii) = 251 miles
Step-by-step explanation:
'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.
Then, to see how far a nine hour trip would cover, distance = speed * time = 251 miles.
Answer:
Below.
Step-by-step explanation:
(i) Speed of the bus = 270/6 = 45 km/hour.
(ii) In 9 hours it travels 45 * 9 = 405 km.
Pls Help! Actually give a legit answer (NO LINKS!)
Answer:
unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.
Step-by-step explanation:
I hope this helps you!
I need help with this
240 because i am smart and also nice pencil
Step-by-step explanation:
The vertices of quadrilateral PQRS are listed.
P(3,7), Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS
A.
Quadrilateral PQRS is a square.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a rectangle.
D.
Quadrilateral PQRS is a parallelogram.
Answer:
It's C. for plato. It's a rectangle
Step-by-step explanation:
FILE BELOWAnswer:
its a rectangle .
Step-by-step explanation:
Which fractions are equivalent to the fraction below? Check all that apply.
5/7
Answer:
A. 10/14
and
C. 15/21
Step-by-step explanation:
A. 10/14
and
C. 15/21
Given the following polynomials
x = (a + b + c)^2
y= a^2 + b^ 2 + C^2
z = ab + bc + ac
Which identity is true?
A. x=y-z
B. x=y+z
C. x=y-2z
D. x=y+2z
Answer:
D. x=y+2z
Step-by-step explanation:
if you expand out the first equation (x) you will get: a^2+b^2+c^2+2ab+2bc+2ac
then looking at all of the choices, it can be seen that the third equation (z) needs to be multiplied by to get 2ab+2bc+2ac and then added to the second equation (y) which would result in D being the correct answer.
D. x=y+2z
click on the measure of the triangle.
Answer:
a
Step-by-step explanation:
because a
write an equation in slope-intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16
Answer:
y = -1/2x + 6
Step-by-step explanation:
We know that the slope intercept form of a line is .
Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.
So the slope of the equation will be .
Finding the y-intercept (c):
Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.
HELPPP PLEASE!! HELPP ASAPP
Answer:
I would go option a
Step-by-step explanation:
Option 2
Step-by-step explanation:Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.
Help help help math math math
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the value of x
Answer:
i think r would be the same as q
Step-by-step explanation:
I believe it's an isosceles triangle, if there were a line going down the center, each half should be symmetrical, so q and r are the same angle.
Answer:
32.5
Step-by-step explanation:
A triangle's angles add up to 180 degrees
(2x+15)+x+(x+35)=180
x=32.5
Add 8.563 and 4.8292. then times the answer by 9.183 divide it 2 times by 1.192. Add to the answer with this number after your finished: "19.323
Answer:
105.876373581
Step-by-step explanation:
8.563 + 4.8292 = 13.3922
13.3922 × 9.183 = 122.9805726
122.9805726 ÷ 1.192 = 103.171621309
103.171621309 ÷ 1.192 = 86.5533735811
86.5533735811 + 19.323 = 105.876373581
Step-by-step explanation:
8.563+4.8292=A
( A*9.183)÷1.192÷1.192=B
B+19.323=C
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A = (0,1)
B = (1,-1)
C = (-1,-1)
Step-by-step explanation:
If this helped leave a brainliest
A guy wire runs from the top of a cell tower to a metal stake in the ground. Jayden places a 8-foot tall pole to support the guy wire. After placing the pole, Jayden measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.
Answer:
length of the guy wire: 49.056
Step-by-step explanation:
here are the steps
Answer:
47 FT
Step-by-step explanation:
Convert the following fraction to a decimal.
How do I fully simplify this?
Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost?
Answer:
24?
Step-by-step explanation:
sabihin nyo kung mali -_-
-9 - 5 this would help me a lot please
Answer:
-14
Step-by-step explanation:
Think of it like this-
subtracting a negative is like adding a positive, so all you have to do is add a negative sign to the sum after solving these sort of problems :>
Hope this helps!
HELP QUICK!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in South High School to their grade point average (GPA) and number of credits earned.
Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.
In a function, one value of the input can be related to only one value of the output.
In this problem:
The input is the student.The output is the student GPA, and the number of credits earned.Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.
To learn more about the function concept, you can take a look at https://brainly.com/question/12463448
A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.
Answer:
-1.5
Step-by-step explanation:
24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.
First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02
24 : 32 = 24/(-16) : -2 = -1.5 : -2
A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?
Answer:
A.
Step-by-step explanation:
factor the given expression. 64x^3-343
Answer:
( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )
Step-by-step explanation:
Answer:
(4x - 7) (16x^2 + 28x + 49)
Step-by-step explanation:
Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2 + a b + b^ 2 ) where a = 4 x and b = 7 .
Two polygons have a similarity ratio of 4:5. If the perimeter of the first one is 10 inches, then what is the perimeter of the second?
Group of answer choices
11 inches
8 inches
12.5 inches
15 inches
What is 7C3? Thanks.
Answer:
C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?
Answer:
7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 seconds
Step-by-step explanation:
3 minutes = 180 seconds
180 seconds + 37 seconds = 217 seconds
Create a storyline (word problem) for the real-world graph below.
(I can do the story part I just need the numbers)
Answer:
Y would equal X on Day 65
Step-by-step explanation:
Im guessing by looking at the chart
Answer:
One line represents something getting heavier over time, while the line pointing down represents something getting lighter over time at a slightly slower rate.
WORTH 50 POINTS. The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
3
Step-by-step explanation:
Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter
Answer:
1.5
Step-by-step explanation:
since the lone segment is 15 so add ab and ce and let bc be x
so 2+x+11.5=15
13.5 +x =15
x=1.5