Answer:
x=1
Step-by-step explanation:
We are given that
[tex]\frac{2x^3}{3}+2x^2-6x+4[/tex]
We have to find the value of x for which function is minimum.
Differentiate w.r.t x
[tex]f'(x)=2x^2+4x-6[/tex]
Substitute f'(x)=0
[tex]2x^2+4x-6=0[/tex]
[tex]x^2+2x-3=0[/tex]
[tex]x^2+3x-x-3=0[/tex]
[tex]x(x+3)-1(x+3)=0[/tex]
[tex](x-1)(x+3)=0[/tex]
[tex]x=1,-3[/tex]
Again, differentiate w.r.t x
[tex]f''(x)=4x+4[/tex]
[tex]f''(1)=4(1)+4=8>0[/tex]
[tex]f''(-3)=4(-3)+4=-8<0[/tex]
Hence, the function is minimum at x=1
please help me understand this
Answer:
whats your snap ill help
Step-by-step explanation:
Please look at picture
Answer:
By sum interior angle of triangle is equal to third exterior angle hence
z = x + y
No find x and y
Sum triangle is 180 degree
Martha jogged 7.8 miles. Erica jogged 0.5 times as far. How dar did erica jog
Answer: 3.9
Step-by-step explanation:
7.8 miles x 0.5 = 3.9 miles
how many solutions does the equation 7x-4=7x+15
Answer:
No solution
Step-by-step explanation:
7x-4=7x+15
-4 = 15 = not true
Answer:
0 because is you -7x from both sides you get -4=15 which doesn't work.
Step-by-step explanation:
Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3
The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
The center of the circle is (0, 0) or the origin.
The radius of the circles is given.
As we know, the standard equation for the circle is:
(x - h)² + (y - k)² = r²
Here (h, k) is the center and r is the radius of the circle.
a) Centre origin, radius 3/2
Plug h = 0, k = 0, and r = 3/2
x² + y² = (3/2)²
x² + y² = 9/4
Similarly,
b) Centre origin, radius 0.5
x² + y² = 0.25
c) Centre origin, radius √3
x² + y² = 3
Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
How do I solve 10x = 100
Answer:
x = 10 since 10 x 10 = 100
Step-by-step explanation:
The graph of the function f is shown. f(0) =
Answer:
-5
Step-by-step explanation:
f(x) is a function.
f(0) means when x=0 what is the y value
We can look at the graph and when x=0 y is at -5
so the answer is -5
Whats the answer? Please help
Answer:
Answer: y=3/2x+1
To find a line that is perpendicular, invert the slope and multiply by -1
so the original slope is -2/3,
invert it to get -3/2 then multiply by -1 to get 3/2
Put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)
Rewrite in standard form to get y=3/2x+1
do's and donts in handling measuring tools
Answer:
I need answer too
Pleaseee help us
Multiply and divide decimals.
One pound of chocolate chip cookies cost $3.79. David buys exactly 5 pounds of chocolate chip cookies. How much will the cookies cost?
State Your answer. Give Details. Explain what you did and justify Your steps.
And also, you'll get brain if u do these directions. :)
Answer:
5 pounds of chocolate chip cookies cost $18.95.
Step-by-step explanation:
If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.
Hope this helps!
Someone answer right por favor
Answer:
64
Step-by-step explanation:
Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64
9/10 ÷ 4/10 = ???????????
Answer:
2 1/4 or 9/4
Step-by-step explanation:
9/10÷4/10= 9/10*10/4
now simplify the 10
9/1 * 1/4= 9/4
now turn it into a mixed number
2 1/4
Answer:
2.25, 9/4 or 2 1/4
Step-by-step explanation:
What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
How can you use ratios to convert metric units of measure?
Answer:
We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.
Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.
Step-by-step explanation:
a car is 180 inches long. a truck is 75 percent longer than thr car. how long is the truck
Answer:
315
Step-by-step explanation:
180+((75/100)x180)=
180+(3/4 x 180)=
180+135=
315
Answer:
315 inches
Step-by-step explanation:
180 × .75 = 135
You have a map of Southern California. If the distance between
Mrs. Clough's house and Badger Springs middle school on the map
is 3 inches, and the scale is 2 inches represents 12 miles, how far is
the actual distance from Mrs. Clough's house to school.
9514 1404 393
Answer:
18 miles
Step-by-step explanation:
The map distance and ground distance are proportional.
(distance to school)/(3 in) = (12 miles)/(2 in)
Multiplying by 3 in gives ...
distance to school = (12 miles)(3/2) = 18 miles
In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.
Answer:
m∠B = [tex]97^{o}[/tex].
Step-by-step explanation:
Since the three sides of the triangle are given, then we apply cosine rule.
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
But, a = 660 cm, b = 680 cm, and c = 100 cm.
So that;
[tex]680^{2}[/tex] = [tex]660^{2}[/tex] + [tex]100^{2}[/tex] -2(660 x 100) Cos B
462400 = 435600 + 10000 - 132000 Cos B
462400 = 445600 - 132000 Cos B
132000 Cos B = 445600 - 462400
= -16800
Cos B = [tex]\frac{-16800}{132000}[/tex]
= -0.1273
B = [tex]Cos^{-1}[/tex] -0.1273
= [tex]97^{o}[/tex]
Thus, measure of ∠B is [tex]97^{o}[/tex].
Answer:
M∠B = 97 degrees
Step-by-step explanation:
Need help on this please
Answer:
Step-by-step explanation:
Because this is a quadrilateral, all the angles added up together will equal 360 degrees. By the nature of the quadrilateral, opposite angles are supplementary. Therefore, 180 - 115 will equal angle K:
180 - 115 = 65 degrees
Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a
Answer:
the statement would be false.
Step-by-step explanation:
Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.
Help
==================
Answer: 0.5
Step-by-step explanation:
17 is half of 34 and 1/2 = 0.5
Answer: 0.5 is this second grade
A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.
Answer:
11.304 kg/m³
Step-by-step explanation:
0.65cm radius
Volume is 1.15 cm³
.013/.00115
Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).
Answer:
A)4
Step-by-step explanation:
Since (3+1)^1/2=2
and 3-1=2
2/2=1
3+1=4
1. Write the standard form of the 6 in the numbel
. *
1 p
792,348,612
Answer:
600
Step-by-step explanation:
5&---------------------
What is 5 1/2 is its simple form?
. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information
Answer:
C. x = 4√70
Step-by-step explanation:
To find x, we would apply the leg rule.
Leg rule is:
Hypotenuse/leg = leg/part
Hypotenuse = 36 + 20 = 56
Leg = x
Part = 20
Plug in the values into the equation
Thus, we would have:
56/x = x/20
Cross multiply
x*x = 56*20
x² = 1,120
x = √1,120
x = √(16*70)
x = 4√70
The correct answer is c.
how many inches would represent 315 miles
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
Pls help meeee :))))))
Answer:
A. 1.80
Step-by-step explanation:
Answer:
A. 1.80
Explanation:
Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.
50 points !!!!!
Answer:
-1 < v < 9Step-by-step explanation:
Given inequality
|4 - v| < 5a. The two inequalities:
1. 4 - v < 5
v > 4 - 5v > -12. 4 - v > -5
v < 4 - (-5)v < 9b. Solution is the combination of the above two:
-1 < v < 9c. The graph is attached
3a+2b-8a+b
What is the answer
Step-by-step explanation:
3a+2b+8a-bCombine like terms Like tems are 3a and -8a3 a - 8 a = -5a-5a +2b+ bcombine like terms2b +b = 3btherefore the answer is -5a + 3bHope it helpfulRamon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's
polygon?
1. Point A (2.5)
2. Point B (8,5)
3. Point C (8,9)
4. Point D (5,7)
5. Point E (2.9)
V
E
C
9
8
D
7
6
ke
5
A
B
4
3
2
1
5
6
7
8
9.
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18