Answer:
[tex] {a}^{4} - 9 \\ = {a}^{ {2}^{2} } - {3}^{2} \\ let \: {a}^{2} \: be \: y \\ = {y}^{2} - {3}^{2} \\ from \: difference \: of \: squares \\ = (y - 3)(y + 3) \\ substitute \: for \: y \\ = ( {a}^{2} - 3)( {a}^{2} + 3)[/tex]
Answer:
100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE2 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.
Step-by-step explanation:
Let f be the function defined by f(x) = –x^3 – x. If g represents the inverse of f, what is g′(10)?
Answer:
[tex]\displaystyle g'(10)=\frac{1}{-13}=-\frac{1}{13}[/tex]
Step-by-step explanation:
The Derivative of the Inverse Function
Let f(x) be a real invertible function, and g(x) the inverse function of f(x), i.e.,:
[tex]g(x)=f^{-1}(x)[/tex]
We can calculate the derivative of the inverse function even if we don't have the inverse function explicitly computed. We use the formula:
[tex]\displaystyle g'(x)=\frac{1}{f'(g(x))}[/tex]
We need to find the value of g'(10) when:
[tex]f(x)=-x^3-x[/tex]
Substituting:
[tex]\displaystyle g'(10)=\frac{1}{f'(g(10))}[/tex]
We don't have the value of g(10) but we can guess its value since the inverse functions f and g satisfy:
if y=f(x), then g(y)=x, thus we need to find a value of x that produces a value of f(x)=10.
We can easily find that x=-2:
[tex]f(-2)=-(-2)^3-(-2)=8+2=10.[/tex]
Thus, g(10)=-2
Now we find:
[tex]f'(x)=-3x^2-1[/tex]
[tex]f'(-2)=-3(-2)^2-1[/tex]
[tex]f'(-2)=-3*4-1=-13[/tex]
Thus, finally:
[tex]\displaystyle g'(10)=\frac{1}{-13}=-\frac{1}{13}[/tex]
Simplify the expression below
(-4x^3+ 2x^2 - 3x)
+
(x^3+ 2x^2+3x)
Answer: = -3x^3 + 4x^2
Step-by-step explanation:
Answer:
-3x^3 + 4x^2
lmk if this helps
Which expression is represented by the diagram?
--
--
|
0-6-6-1)
-8-502
-6-1
0-5-(-1)
-5-1
tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)
Note: your equation is a little bit unclear. Thus, I am assuming that
y = 2x+5
Anyway, the procedure remains the same. It would anyways clear your concept.
Answer:
We conclude that the ordered pair (2, 1) is a solution.
Step-by-step explanation:
Given the equation
[tex]y = -2x+5[/tex]
Check for point (2, 1)
substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.
[tex]y = -2x+5[/tex]
plug in x = 2 and y = 1
1 = -2(2)+5
1 = -4+5
1 = 1
R.H.S = L.H.S
TRUE
Therefore, the given ordered pairs satisifes the equation.
Hence, we conclude that the ordered pair (2, 1) is a solution.
answer this pls pls pls pls pls
Answer:
1= 0.25feet per 1 second
2.= 120 seconds
3. 72 seconds or 1 minute 12 seconds
Step-by-step explanation:
1.= 2/8=1/4=.25
2.= 50-20=30
30/.25=120
3.= 18 feet/.25 feet= 72 seconds
Answer:
1= 0.25feet per 1 second
2.= 120 seconds
3. 72 seconds or 1 minute 12 seconds
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
Pythagorean theorem. 24^2+b^2=25^2
Simplify
576+b^2=625
b^2=49
b=7
Camille is getting older and feels like she should donate her collection of
stuffed animals to children who are less fortunate. She has 45 stuffed
cats and 18 stuffed dogs, which she wants to divide into identical groups
with no stuffed animals left over. What is the greatest number of groups
Camille can place her stuffed animals into? *
Plz help ASAP
Answer:
Answer is in photo
Step-by-step explanation:
Maria invests her $150 for 2 years at 4% per year compound interest.
A) Calculate the exact amount Maria has at the end of 2 years.
Maria continues to invest her money at 4% per year compound interest.
After 20 years she has $328.67.
i) Calculate exactly how much more this is than $150 invested for 20 years at
simple interest.
(ii) Calculate $328.67 as a percentage of $150.
Step-by-step explanation:
A)At the end of 2years compound interest=$150(1+4/100)²=$162.24
i) Amount difference=$328.67-{($150×4×20/100)+$150}
=$328.67-$270=$58.67
ii)328.67/150×100%=121.73%
Use the coordinates of the labeled point to find the point slope equation of the line.
Answer:
B
Step-by-step explanation:
Here, we want to find the point-slope equation of the line
We start by getting the y-intercept of the line which is y = 3
The general equation of a straight line is;
y = mx + b
where b is the y-intercept
So, we have;
y = mx + 3
Now, to get m , we insert the point given on the like which is (2,-5)
x = 2 and y = -5
-5 = 2m + 3
-8 = 2m
m = -8/2
m = -4
So the equation of the line is;
y = -4x + 3
This is same as option B
HELP ASAAAAAP EXPLAIIINNN
Answer:
dhdhrjfidgegehfr fhfn fhc fn dncc c. f byn
Step-by-step explanation:
h(t) = -16t² + 64t + 32
When h(t) = 80, -16t² + 64t + 32 = 80.
=> 16t² - 64t + 48 = 0
=> t² - 4t + 3 = 0
=> (t - 1)(t - 3) = 0
=> t = 1 or t = 3.
Hence the difference between the times is 2 seconds. (B)
SOLVE FOR X
X/3 + x-1/4 = 2+X
show (or describe every step)
the x-1/4 is ONE fraction, not a variable minus 1/4.
Answer:
Step-by-step explanation:
Thank you for the note. You show what you want like this.
X/3 + (x - 1)/4 = 2+X Multiply both sides by 12.
[tex]\frac{12*x}{3} + \frac{12*(x -1)}{4} = 12(x + 2)[/tex]
Now take mini steps.
1. Divide 3 into 12
4x
2. Divide 4 into 12
3(x - 1)
========================
Here's what you have.
4x + 3(x - 1) = 12(x + 2) Remove the brackets.
4x + 3x - 3 = 12x + 24 Combine like terms
7x - 3 = 12x + 24 Subtract 7x from both sides.
- 3 = 12x - 7x +24
-3 = 5x + 24 Subtract 24 from both sides.
-27 = 5x Divide by 5
x = -5.4
Can someone help me with this one
hmmmm put all the ratios in it like ac=8 by putting all values divide it if all part answer come same so your figure is congrenent
Keiko sold t-shirts at a festival. She made $4 for each t-shirt she sold. Her expenses were $25. If she made a profit of $71, how many t-shirts did she sell?
Answer:
She had sold 24 shirts.
Answer:
24 shirts.
Step-by-step explanation:
Let the number of shirt she sold = x.
4x - 25 = 71
4x = 96
x = 24.
The Martinex twins, Carlos and Clarita, are trying to find a
way to make money during the summer vacation. When they overhear their aunt complaining about how difficult it is to find someone to care for her pets while she will be away on a trip, Carlos
and Clarity know they have found the perfect solution. Not only do
they have a large, unused storage shed on their property where they
can house animals, they also have a spacious fenced backyard where
the pets can play. Carlos and Clarita are making a list of some of the
issues they need to consider as part of their business plan to care for cats and dogs while their owners are on vacation.
A:Cat pens will require 6ft2 of space, while dog runs require 24ft2. Carlos and Clarita have up to 360ft2 available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Utilize the information about space available to write a two variable equation to represent the amount of space used for boarding the cats and dogs. Start-up Costs: Carlos and Clarita plan to invest much of the $1280 they earned from their last business venture to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run. Write a two variable equation to represent the start-up costs for boarding the cats and dogs. and
Graph the two equations one the same x, y plane in Desmos
B: Clarita and Carlos realize after looking at the graphed equation models they do not have to use all of the available space nor do they need to use all of the start up money. They decide to explore a system where they can better visualize and plan for up to and including the available space and start up funds.
Change your original equations into inequalities
is screenshot
C:
Of course, Carlos and Clarita want to make as much money as possible from their business, so they are trying to determine how many of each type of pet they should plan to accommodate. They plan to charge $8 per day for boarding each cat and $20 per day for each dog. After surveying the community regarding the pet boarding needs, Carlos and Clarita are confident that they can keep all of their boarding spaces filled for the summer.
So the question is, how many of each type of pet should they prepare for? Their dad has suggested the same number of each, perhaps 12 cats and 12 dogs. Would the dad’s suggestion be possible? Why or why not?
Answer:
attached pic
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE????
At the local video store, you can rent a video game for $3. You also have to pay a $10 membership fee. Write an equation to model the total cost, y, of renting x video games for $3 each and the $10 membership fee. Create a table of values. Use values of x from 0 to 5.
What is the total cost of 9 video games and the rental fee?
Answer:
y=3x+10
Step-by-step explanation:
The y-intercept or initial value is 10 as written on the problem and the slope is 3 because it says for each one of them. meaning that the equation will be y=3x+10
anna has a 12 quarter 4 dimes and 11 nickel in her piggy bank how much money is in the bank
Answer:
$3.95
Step-by-step explanation:
12*0.25=3
4*0.10=0.40
11*0.05=0.55
3+0.40+0.55=$3.95
Answer:
$3.95
Step-by-step explanation:
12q+4d+11n
Fencing costs £13.25 per metre.
How much does 12.5 m cost?
Answer:
165.62500 or 165.625 (simplified
Step-by-step explanation:
In order to find the solution you need to multiply £13.25 by 12.5 m.
You can do this in a few ways:
£13.25^12.5£13.25 x 12.5Both of those will get you your answer
165.62500
ab - bc+ ac, bc - ca+ ab, ca - ab-2bc
Answer:
[tex]ab-2bc+ca[/tex]
Step-by-step explanation:
Complete question is given below
Add:-
ab-bc+ac,bc-ca+ab,ca-ab-2bc
We have to find the result after addition
Now, adding all expression
We get
[tex]ab-bc+ac+bc-ca+ab+ca-ab-2bc[/tex]
Combine like terms then, we get
[tex](ab+ab-ab)+(bc-bc-2bc)+(ac-ca+ca)[/tex]
[tex]ab-2bc+ca[/tex]
Hence,[tex]ab-bc+ac+bc-ca+ab+ca-ab-2bc=ab-2bc+ca[/tex]
sorry if it’s blurry
Answer:
im blind
Step-by-step explanation:
im really sorry i cant see anything
Answer:
It is A or 3.9
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
its just the square route.
NEED HELP QUICK <3
140 is what percent less than 160?
Answer:
Step-by-step explanation:
Step 1: We make the assumption that 160 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=160
Step 4: In the same vein, = x%=140.
Step 5: This gives us a pair of simple equations:
100%=160(1).
x%=140(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% = 160 / 140
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 140 / 160
x% = 87.5%
therefore, 140 is 87.5% of 160
We obtain that 140 is 12.5% percent less than 160.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 140 is some percent less than 160 to obtain this we'll subtract (140/160)×100% from 100% which is,
= 100% - (140/160)×100%.
= 100% - 87.5%.
= 12.5%
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
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Option C. Please mark me as brainliest.
Mr. T's Tea store has two kinds of tea. Tea A costs $9 per pound and Tea B cost $6 per pound. How many pounds of each should be combined to obtain 150 pounds of tea worth $8 per pound?
Answer:
y=447.3 pounds
x= 297.3 pounds
Step-by-step explanation:
Step one:
given data
Tea A costs $9 per pound and
Tea B cost $6 per pound.
let the number of pounds of Tea A be x
and for Tea B be y pounds
The total cost of the mixture = $8 per pound
hence
9x+6y=8---------1
The total weight of the mixture
150 pounds
x+y=150-----------2
Step two:
9x+6y=8---------1
x+y=150---------2
from eqn 2 x=150-y
put x= 150-y in eqn 1
9(150-y)+6y=8---------1
1350-9y+6y=8
1350-8=9y-6y
1342=3y
divide both sides by 3
y= 1342/3
y=447.3 pounds
put y= 447.3 in eqn 2
x+447.3= 150
x= 150-446=7.3
x= -297.3
x= 297.3 pounds
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent? After next year, Aisha still needs to grow 43 more inches to ride. Aisha is less than 43 inches tall right now. Aisha needs to grow 43 more inches to ride. Aisha is at least 43 inches tall now.
Answer:
B
Step-by-step explanation:
right on edge 2020
Answer: i think it is b correct me if i am wrong
Step-by-step explanation:
five waters bottles and 2 sodas cost $5.57
Answer:
ok
Step-by-step explanation:
Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92
Answer:
She spent 19.82 in all
Step-by-step explanation:
I added them
If p = 3sec theta and q= 3 tan^2 theta - 1, then find p-q.
Answer:
[tex]p - q = 3 \sec\theta - (3 { \tan}^{2} \theta - 1) \\ = 3 \sec \theta - 3 { \tan}^{2} \theta + 1 \\ from \: identities \: \: { \tan }^{2} \theta + 1 = { \sec }^{2} \theta \\ = 3 { \sec } \theta - 3( { \sec }^{2} \theta - 1) + 1 \\ = 3 \sec\theta - 3 { \sec}^{2} \theta + 3 + 1 \\ = - 3 { \sec }^{2} \theta + 3 \sec\theta + 4 \\ = - 3( { \sec}^{2} \theta - \sec \theta - \frac{4}{3} )[/tex]
given: rectangle JKLM
prove: JL = MK
Answer:
(In order, top to bottom. )
Definition of a rectangle
opposite sides of a rectangle are congruent
reflexive property of congruence
SAS congruence postulate
Step-by-step explanation:
Parallelogram JKLM is a rectangle and by definition of a rectangle, ∠JML
and ∠KLM are right angles, ∠JML ≅ ∠KLM because, all right angles are
congruent, ≅ because opposite sides of a parallelogram are congruent, and ≅ by reflective property of congruence. By the SAS
congruence postulate, ΔJML ≅ ΔKLM.
congruent parts of congruent triangles are congruent, ≅
The given quadrilateral is a parallelogram, that have interior angles that are right angles, therefore, the figure has the properties of a rectangle, and
parallelograms including the length of opposite sides are equal, all right angles are congruent and equal to 90° and the length of a side is equal to itself by reflexive property, & ≅
The Side-Angle-Side SAS postulate states that if two sides and an included
angle of one triangle are congruent to the corresponding two of sides and
included angle of another triangle, the two triangles are congruent.
1:30 o clock in words
Simplify x^3 * x^5 Rewrite the expression in the form x^n
Answer:
x^8
Step-by-step explanation:
PLSPLSPLSPLS I NEED HELPPPPPPPP
Answer:
huh?
Step-by-step explanation: