Answer:
C
Step-by-step explanation:
just did it rn
The value of difference quotient is [tex]3x^{2} +3xh +h^{2}[/tex].
Here,
Given that;
Stephon wrote out steps to compute the difference quotient,
[tex]v(x) =x^{3} + 8\\[/tex]
[tex]v(x+h) = (x+h)^{3} + 8\\[/tex]
[tex]v(x+h) = x^{3}+3x^{2} h+3xh^{2} +x^{3} + 8\\[/tex]
We have to find difference quotient.
What is difference quotient formula?
Difference Quotient formula is used in the definition of the derivative. Difference Quotient Formula,
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
Now,
[tex]v(x) =x^{3} + 8\\[/tex]
And, [tex]v(x+h) = x^{3}+3x^{2} h+3xh^{2} +x^{3} + 8\\[/tex]
Then,
Difference Quotient formula = [tex]\frac{v(x+h)-v(x)}{h}[/tex]
= [tex]\frac{ x^{3}+3x^{2} h+3xh^{2} +h^{3} + 8\\-(x^{3} + 8)\\}{h}[/tex]
= [tex]\frac{ x^{3}+3x^{2} h+3xh^{2} +h^{3} + 8\\-x^{3} - 8\\}{h}[/tex]
= [tex]\frac{ 3x^{2} h+3xh^{2} +h^{3} \\\\}{h}[/tex]
= [tex]3x^{2} +3xh +h^{2}[/tex]
Hence, The value of difference quotient is [tex]3x^{2} +3xh +h^{2}[/tex].
Learn more about the difference quotient formula visit:
https://brainly.com/question/23630564
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f (x)
-
2x2 +7x-15
3x2 +13x-10
Horizontal Asymptote- type your answer...
3
2 points
Answer:
Is this the full question?
5 people are sharing 14 kilograms of peaches. How many kilograms of peaches will each person receive?
A) 1 4 5 kilograms Eliminate B) 14 5 kilograms C) 5 14 kilograms D) 1 14 kilograms
Answer:
Each person would receive 2.8 kilograms of peaches.
In a class of 28 students, 17 play an instrument and 6 play a sport. There are 4 students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class plays a sport and an instrument?
Answer:
Step-by-step explanation:
P=4/28=1/7
Answer:
14.3% or 1/7
Step-by-step explanation:
4 / 28
4 students who play a sport and instrument divided by 28 total students
-3x^2 + 224 = — 6х + 2
Answer:
x=1-5[tex]\sqrt{3[/tex] or x=1+5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
hope this helps
Answer:
x=1-5√3, x=1+5√3
Step-by-step explanation:
-3x^2 + 224 = — 6х + 2
add 6 on both sides
-3x^2+224+6x=2
subtract 2 on both sides
-3x^2+222+6x=0
rearrange for the quadratic formula
-3x^2+6x+222=0
use the quadratic formula
x=1-5√3, x=1+5√3
Please help need this last one.
Answer:
10
Step-by-step explanation:
If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.
Answer:
it's basically 10, both sides are equal
Step-by-step explanation:
1. Elizabeth wrote the quadratic function y = -3(x-6). What is the same equation written in standard form?
y = -3(x - 6)
y = -3x + 18
3x + y = 18
Please help!!!!!!!!!!!!!!
Answer:
131/156 or about 84%
5/14 or about 36%
Step-by-step explanation:
P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%
P(M,5) = 74/156 x 20/74 which reduces to 5/14
HELPP, RIGHT TRIANGLES AND TRIGONOMETRY
Step-by-step explanation:
x²=6²+8²
=36+64
= 100
x=√100 = 10
Answer:
[tex]\displaystyle 10 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = x^2 \hookrightarrow 64 + 36 = x^2 \hookrightarrow \sqrt{100} = \sqrt{x^2} \\ \\ \boxed{10 = x}[/tex]
We only want the NON-NEGATIVE root sinse we are measuring the length of the hypotenuse.
I am joyous to assist you at any time.
Carla figures she spends 21% of her income on food. which fraction is a good estimate for 21%
Find the measure of the missing side PQ using trig ratios
Answer:
take 48 degree as reference angle
use sine rule
sin48=opposite/hypotenuse
0.74=5.4/x
x0.74=5.4
x=5.4/0.74
x=7.29 m
Step-by-step explanation:
Answer:
[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]
Jahkai went to an amusement park and bought 20 ride tickets for $12. How much
would 65 ride tickets cost?
Answer:
65 ride tickets would cost $39
Step-by-step explanation:
so
12 ÷ 20 = 0.6 (I checked it by multiplying 0.6 by 20 to get 12)
0.6 × 60 = 39
65 tickets would cost $35
Which fraction is equivalent to 2/6?
A gallery has the following items for sale: 5 paintings, 6 statues, and
12 pottery pieces. If the gallery sells 3 paintings for $225 each and 2
pottery pieces for $75 total, how many total pieces of art does it have
left?
Answer:
que postal e events pela esta
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.
Answer:
need help asap
Step-by-step explanation:
Which expression shows how to find the area of the figure? What is the area of the figure?
Answer:
42 cm squared
Step-by-step explanation:
For part 1, separate the figure into two squares. The 6's are there to trick you, so we won't be using them for the entire process while solving this problem. The bright side is that you won't trick the 6's yourself. Heh. Once doing that, you should get 9 X 4 + 2 X 3, which would be C according to the choices shown.
For part 2, simply do order of operations, or PEMDAS. Here's what PEMDAS stands for:
Parenthesis
Exponents
Multiply/Divide from the left to the right
Add/Subtract from the left to the right
You MUST do this IN ORDER! No exceptions!
Multiply 9 by 4, then multiply 2 by 3.
After that, you should get 36 and 6. Add them together, and you'll get your final answer, which would be 42 cm squared.
So, the final answer would be 42 cm squared.
Hope this helped!
what is the sign of B + A
a 9-kg bag of mangoes for $12. how much per kg
Answer:
1.3
Step-by-step explanation:
9 = 12
1= x
x= 1.3
Is x = 9 in the solution set of the inequality x + 14 < 20
Yes or no
Answer: No
Step-by-step explanation:
Data: x+14<20
x=9? Is what your trying to find
Step one, Isolate x by subtracting 14 on both sides
X+14-14<20-14=X=6
Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.
Since x=6 isn't x=9, the answer is No
Answer: No
I hope this helps!
***NEED HELP FAST!!!!!***
What is the volume of figure A in the composite figure?
Answer:
30 in
Step-by-step explanation:
subtract 5 inches from 8 inches and you get 3 inches (the height)
then we already have the given 4 inches (the width)
then finally we can see from figure b that the depth is 5 inches
you multiply all of them together and get 60, before dividing that in half to get 30.
(not certain about units)
plzzzzz help me i have no clue
Answer: Maybe a
Step-by-step explanation:
I mean it is confusing but still look over it
Answer:
The bottom one looks correct
Step-by-step explanation:
Any number from 1-infinity will make that true
Solve for x. Round to the nearest tenth, if necessary.
х
F
26
459
E
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2}[/tex]=x/26
x=26/[tex]\sqrt{2}[/tex]
x=13[tex]\sqrt{2}[/tex]
x=18.38
x=18.4
The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The triangle ΔGFE is shown. And the angle ∠GFE is a right angle.
We know that the sine of an angle is the ratio of the perpendicular to the hypotenuse. Then we have
sin 45° = x / 26
x = 26 sin 45°
x = 26 × 0.707
x = 18.38 units
The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Draw the net figure label the net with appropriate dimensions in centimeters
Answer:
your answer has to be A or B cuz the rest fo match up with the measurements
Step-by-step explanation:
Insects have 6 legs. Ants are insects.
What is the total number of legs on 8 ants?
14
Answer:
48, because 6*8=48
Length = 4
Width = ?
Area = 60
Answer:
the width is 15
Step-by-step explanation:
if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab
pls solve and give the explanation
Answer:
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Step-by-step explanation:
if:
a + b + c = 0
then we can rewrite:
c = -a - b
Now we can replace this in our expression:
[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]
Now we can rewrite:
(-a - b)^2 = a^2 + 2*a*b + b^2
Then we can rewrite our expression as:
[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]
Let's keep simplifying this:
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]
Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]
Then the expression is equal to -2
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
A. 152 + 192
OB. 15+19
c. 15+19
D. 162 +19
Answer:
By using the pythagorean theorem a^2 + b^2 = c^2
D is the correct answer Where PQ
= √15^2+√19^2
=√ 225 + √361
= √ 586
Length of PQ = √586 = 24.2074368738(ans)
pls help me rn i really need help i will give 10 points
x+2=5, what must x equal? how did you know this
Answer:
x=3 because 5-2=3 meaning 3+2=5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
x+2-2=5-2
x=3
subtract 2 from both sides of the equation
Area of triangle with points (7,7) (10,3) (7,3)
Answer:
The area of the triangle is of 6 units squared.
Step-by-step explanation:
Representation of the triangle:
This triangle, in the cartesian plane, has the vertices at these following points.
(7,7)
| -> 4 units down
(7,3) --- (10,3) -> 3 units to the right.
This can be represented as a right triangle with sides 4 and 3.
Area of a right triangle:
The area of a right triangle is the multiplication of the lengths of its sides divided by 2. So
4*3/2 = 12/2 = 6.
The area of the triangle is of 6 units squared.
PLEASE HELP FAST simplify: sqrt 8 + 2 sqrt 15
Answer:
2[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4}[/tex][tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]