Answer:
D. 5
Step-by-step explanation:
From the information given:
The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
where; the two points are:
(-1 , f( -1) ) & ( 1, f(1) )
For f(1); we have:
f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2
f(1) = 1 + 3 - 5 + 2 -2
f(1) = - 1
For f( -1); we have:
(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2
= 1 - 3 - 5 -2 - 2
= -11
∴
[tex]=\dfrac{-1-(-11)}{1 - (-1)}[/tex]
[tex]=\dfrac{-1+11}{1 +1}[/tex]
[tex]=\dfrac{10}{2}[/tex]
= 5
There are 1,000 grams in 1 kilogram. Nate is mailing a package that has a mass of 8,000 grams.
He wants to know the mass of the package in kilograms.
1.000
8,000
12,000
grams
kilograms
0
1
12
Multiply or divide?
What is the unit rate. ?
I give brainless!!!!!!!!
Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.
Have a Merry Christmas!
Combine like terms.
5x – (-10x) - 4 – (-7x) – 8
Answer:
22x - 12
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
5x - (-10x) - 4 - (-7x) - 8
Step 2: Simplify
Distribute negative: 5x + 10x - 4 + 7x - 8Combine like terms (x): 22x - 4 - 8Combine like terms (Z): 22x - 12Answer: 22x - 12
Step-by-step explanation:
5x - (-10x) -4 - (-7x) -8
The x’s are 5x + 10x + 7x = 22x
The numbers are -4 - 8 = -12
Combining these we get 22x - 12
Given the function f(x) = x2-2, find the average rate of change over the interval -2 sxs 4
Answer:
The correct answer for that is (98)
A curve is defined by parametric functions x (t) and y(t), where dx/dt= 3t^2 and dy/dx= t^7– 2t^4. For what positive value of t is d^2y/dx^2 =1
A
1.079
B
1.149
С
1.202
D
1.525
Answer:
i do not know
Step-by-step explanation:
A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses: 7, 14, 12, 13, 14, 6, 9, 16 Find the mean and median number of hours for these students. If necessary, round your answers to the nearest tenth.
Answer:
11.4- average
12.5 - median
Step-by-step explanation:
AVERAGE:
Add them up and divide by 8
MEDIAN:
1. Arrange the set from least to greatest.
6,7,9,12,13,14,14,16
2. Start from the first and last numbers and cross them out until you are left with the 2 in the middle. If there was an odd set of numbers, you would end up with one number.
7,9,12,13,14,14
9,12,13,14
12,13
3. Add the remaining two numbers and divide by 2.
12+13/2 = 12.5
The sum of 2 times p and 2 is 48. What is p?
Answer:
p = 23
Step-by-step explanation:
2p + 2 = 48
-2 -2
2p = 46
/2 /2
p = 23
Hope this helps and I hope u have an Amazing day!!
What is 3 3/8 divided by 9
Answer:
0.375
Step-by-step explanation:
Answer:
3/8
Reason:
I just did a question exactly like this, and this was the answer.
given the following linear equation, find y at the value x=2. y=-5-3x
Answer:
-11
Step-by-step explanation:
y=-5-3(2)
-5-6=-11
11) (-x - 3) + (3x + 8)
i don’t understand these
Answer:
-8x-25
Step-by-step explanation:
Solve the matrix equation X-A=B for X if a= [1 -4 -7 4 7 6] and b= [-9 4 8 2 5 2].
X=
[tex]\color{red} {{{\Large {\bf{To\:\:Simplify\::\frac{\sin ^4(x)-\cos ^4(x)}{\sin ^2(x)-\cos ^2(x)}}}}}}[/tex]
[tex]\color{green}{{{\large {\bf{Your\:\:Answer\::\frac{\sin ^4(x)-\cos ^4(x)}{\sin ^2(x)-\cos ^2(x)}=1}}}}}[/tex]
[tex]\color{yellow} {\Huge {\sf{Solution:}}}[/tex]
[tex]\color{blue} {\large {\bf{Factor\:\sin ^4(x)-\cos ^4(x)}}}[/tex]
[tex]\tt \color{blue} {\mathrm{Rewrite\:}\sin ^4(x)-\cos ^4(x)\mathrm{\:as\:}(\sin ^2(x))^2-(\cos ^2(x))^2=(\sin ^2(x))^2-(\cos ^2(x))^2}[/tex]
[tex]\color{fuchsia} {\normalsize {\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=(a^b)^c}}[/tex]
[tex]\color{fuchsia} {\normalsize \sin ^4(x)=(\sin ^2(x))^2}[/tex]
[tex]\color{fuchsia} {\normalsize =(\sin ^2(x))^2-\cos ^4(x)}[/tex]=
[tex]\color{fuchsia} {\normalsize \mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=(a^b)^c}[/tex]
[tex]\color{fuchsia} {\normalsize \cos ^4(x)=(\cos ^2(x))^2}[/tex]
[tex]\color{fuchsia} {\normalsize =(\sin ^2(x))^2-(\cos ^2(x))^2}[/tex]=
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}[/tex]x^2-y^2=(x+y)(x-y)
[tex](\sin ^2(x))^2-(\cos ^2(x))^2=(\sin ^2(x)+\cos ^2(x))(\sin ^2(x)-\cos ^2(x))[/tex]
=[tex](\sin ^2(x)+\cos ^2(x))(\sin ^2(x)-\cos ^2(x))[/tex]=
[tex]\color{blue} {\large {\bf{Factor\:\sin ^2(x)-\cos ^2(x)}}}[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}[/tex]x^2-y^2=(x+y)(x-y)
[tex]\sin ^2(x)-\cos ^2(x)=(\sin (x)+\cos (x))(\sin (x)-\cos (x))[/tex]
(x)=(sin(x)+cos(x))(sin(x)−cos(x))
=(\sin (x)+\cos (x))(\sin (x)-\cos (x))=(sin(x)+cos(x))(sin(x)−cos(x))
[tex]\large=(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))
(x))(sin(x)+cos(x))(sin(x)−cos(x))
\large =\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))}{\sin ^2(x)-\cos ^2(x)}[/tex]=
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}[/tex]x^2-y^2=(x+y)(x-y)
[tex]\sin ^2(x)-\cos ^2(x)=(\sin (x)+\cos (x))(\sin (x)[/tex]
[tex] (x)=(sin(x)+cos(x))(sin(x)−cos(x))
=\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))}{(\sin (x)+\cos (x))(\sin (x)-\cos (x))}[/tex]=
[tex]\mathrm{Cancel\:}\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))}{(\sin (x)+\cos (x))(\sin (x)-\cos (x))}:\quad \sin ^2(x)+\cos ^2(x)Cancel
(sin(x)+cos(x))(sin(x)−cos(x))[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:\sin (x)+\cos(x)Cancelthecommonfactor:sin(x)+cos(x)[/tex]
=[tex]\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)-\cos (x))}{\sin (x)-\cos (x)}[/tex]=
[tex]\mathrm{Cancel\:the\:common\:factor:}\:\sin (x)-\cos[/tex]
[tex]\mathrm{Use\:the\:following\:identity}:\quad \cos ^2(x)+\sin[/tex]
[tex]\huge \boxed{\color{red} {\ \huge =1}}[/tex]
Which of the following scenarios is not proportional.
a. Getting paid hourly for babysitting.
b. selling lemonade for $1 per cup.
c. Paying $5 per ticket to a baseball game, plus a $7.50 online service fee.
d. Jogging at a rate of 10 minutes per mile.
Solve the equation - [tex]\frac{w}{5}[/tex] +9=13. What is w?
Answer:
w = -20
Step-by-step explanation:
-[tex]\frac{w}{5}[/tex] + 9 = 13
Shift the (+9) to the other side of the equation. (+9) will turn into (-9).
-[tex]\frac{w}{5}[/tex] = 13 - 9
= 4
Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).
-w = 4 × 5
= 20
Multiply both sides of the equation by (-1) so that -w will turn into w.
w = (-1) × 20
w = -20
3) 15x + 4 = 106
Can someone show me the steps ? Pls :)
1) Subtract 4 from both sides to get 15x = 102
2) Divide by 15 on both sides to get x = 6.8
Answer:
x=6.8
Step-by-step explanation:
15x + 4 = 106
subtract 4 from both sides
15x=102
divide both sides by 15
x=6.8
Write an recursive rule for the sequence 7,14,21,28
1/9 x (1/2)^3 (solve please!)
9514 1404 393
Answer:
1/72
Step-by-step explanation:
[tex]\dfrac{1}{9}\times\left(\dfrac{1}{2}\right)^3=\dfrac{1}{9}\times\dfrac{1}{8}=\boxed{\dfrac{1}{72}}[/tex]
What is the midpoint of line segment
A (-3,-5)
B (1,-9)
‾
start overline, A, B, end overline?
Find an equation of the parabola with vertex (2, -1) and directrix y=-7.
Answer:
the answer to this is y=7x-15
100 points. Consider functions f and g
Answer:
D I think
Hope you have an amazing christmas!
Help with this question please ASAP!! :)
Answer:
options 1, 3, and 6.
Step-by-step explanation:
on the diagram, ∠2 is in the area of line EA and EG. If you are reading it by letters, ∠GEA is equal to ∠2 because they are in the same area. The last option (6) being ∠AEG, the middle angle is E which is the same as ∠GEA and ∠2.
hope this helps!! :))
A scientist teacher murdered $3980 worth of microscopes and dissension kits for the new science lab a total of 38 microscopes and 47 dissension kids were ordered a microscope cost four times as much as a Ascension kit write a system of linear equations that represents the situation what is the cost of each item
Answer:
dang
Step-by-step explanation:
._.
Given that f(x) = x2 + 4x – 21 and g(x) = x - 3, find f(x) · g(x) and
express the result in standard form.
9514 1404 393
Answer:
(f·g)(x) = x^3 +x^2 -33x +63
Step-by-step explanation:
The product of the two functions can be found using the distributive property.
[tex]f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}[/tex]
please please help me!
Answer:
Option 4
Step-by-step explanation:
It has a negative slope of -[tex]\frac{1}{5}[/tex] (move down one and to the right 5)
Which ratio is equivalent to 1:3 and 12:36? (A) 2:18 (B) 4:9 (C) 4:12 (D) 6:6
Answer:
I think the right answer is c 4:12
Answer:
(C) - C for Correct!
Step-by-step explanation:
We can look at ratios as a fraction, so 1:3 = 1/3 and 12:36 = 12/36. We can simplify the second fraction into 12/36 = 1/3 by canceling 12 from the numerator and denomerator. We can do this with all of the answer choices:
(A) Wrong - 2/18 = 1/9
(B) Wrong - 4/9
(C) Correct - 4/12 = 1/3
(D) Wrong - 6/6 = 1
I hope this helps!!! :)
HELP PLS
A) 16
B) -4
C) -16
Answer:
B) -4 is the crct answer may be
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 10% real fruit juice. How many liters of real fruit juice would be needed to produce 250 liters of Drink A and 150 liters of Drink B? How many liters of real fruit juice would be needed to produce aa liters of Drink A and bb liters of Drink B?
Answer:
y = 290 liters Drink B
Step-by-step explanation:
Drink A contains 20% real fruit juice. x liters
and Drink B contains 5% real fruit juice. y liters
y=x+80
20%x +5%y =56.5
20x+5y==5650
-x + y = 80.00
20x + 5 y = 5650.00 .............2
Eliminate y
multiply (1)by -5
Multiply (2) by 1
5.00 x -5.00 y = -400.00
20.00 x 5.00 y = 5650.00
Add the two equations
25.00 x = 5250.00
/ 25.00
x = 210.00
plug value of x in (1)
-1.00 x + 1.00 y = 80.00
-210.00 + 1.00 y = 80.00
1.00 y = 290.00
y = 290.00
Ans x = 210 liters Drink A
y = 290 liters Drink B
sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs.
she needs 18 boxes.
What is factoring?A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
Given
Based on the given conditions, formulate: 8 x = 144
Divide both sides of the equation by the coefficient of variable: x = 144/8 out the common factor: x = 18
To know more about factoring refer to :
https://brainly.com/question/25829061
#SPJ2
what is the equation of the line through (2,-1) and (0,5)
A. y= -3x + 5
B. y= 3x - 5
C. y= -3x - 5
D. y= 3x + 5
What is the value of 4+ y if y = 18?
Answer:
22
Step-by-step explanation:
4+18 = 22
PLEASE HELP 6TH GRADE
You eat 80% of your daily calories at breakfast. Does this statement make sense?
Answer:
you so dumb
Step-by-step explanation:
Answer:
this statement does make sense