Answers
Answer:
t+4 / t-4
Step-by-step explanation:
(t^2 - 16) / (t^2 -8t +16)
=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)
by formula a^2 - b^2 = (a+b)(a-b)
= (t+4)(t-4) / (t-4)^2
= (t+4)(t-4) / (t-4)(t-4)
= t+4 / t-4
Related Questions
Write recursive and explicit formula for the arithmetic sequence 10, 40, 70,100,130
Answers
in the sequence we can see that we arrive at the next term by simply adding 30 to the current one, thus
[tex]\stackrel{\textit{Explicit, only requiring argument susbtitution}}{f(n)~~ = ~~n + 30}~\hfill \stackrel{\textit{Recursive, requiring ordinal position}}{f(a)~~ = ~~ a_{n-1}+30}[/tex]
How much time will it take Wilson to finish painting the bookcase? Explain.
Answers
To complete it’ll be 100%.
So if you multiple 20 times 2 it’ll give you 40…which will now have you at 80% So you need 20% left which is half of 40% to complete the 100% which will be half of 20 which is 10. Then you add to the 40 you alr have which sum up to 50min total!!!
as an estimation we are told 5 miles is 8km convert 40 miles to km
Answers
Answer:
62
Step-by-step explanation:
Just do 5/8 = 40/x, and cross-multiply to get:
320 = 5x,
And x will be equal to 62
How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?
Answers
Answer:
25
Step-by-step explanation:
180(s-2)=4140
180s-360=4140
add 360 to both sides
180s=4500
divide both sides by 180
s=25
calculate the distance of mars to the sun
Answers
Answer:
[tex]r=2.28*10^8km[/tex]
Step-by-step explanation:
This assumes you were given the mass of mars to be [tex]6.39*10^2^3kg[/tex] the mass of the sun to be [tex]1.99*10^3^0kg[/tex] and the gravitational force between the two to be [tex]3.72*10^3^5N[/tex].
I used the formula: (G is the gravitational constant [tex]6.67*10^-^1^1[/tex])
[tex]F=G\frac{m_1m_2}{r}[/tex]
and solved for r
[tex]3.72*10^3^5=6.67*10^-^1^1\frac{6.39*10^2^3(1.99*10^3^0)}{r}[/tex]
[tex]r=\frac{8.48*10^4^3}{3.72*10^3^5}[/tex]
[tex]r=2.28*10^8km[/tex]
what’s the correct answer??? i will give brainlist
Answers
Answer:
yamete kudesai
Step-by-step explanation:
Answer:
I believe it's 2/4.
Step-by-step explanation:
Let me know if it's incorrect.
pls help with number 12 i will give brainliest
Answers
Answer:
My man Zachary is right!
Step-by-step explanation:
The rule is so very simple!
Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!
Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!
So Negative*Negative is Positive (-10 x -10 = 100)
And Positive*Negative is always negative (-10 x 10 = -100)
And we both know that Positive times positive is positive. (10 x 10 = 100)
What is the area of the following circle?
Either enter the exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answers
Answer:
25π or 78.5
Step-by-step explanation:
Area of circle = π[tex]r^{2}[/tex]
r = 5
A = π * 5^2
= 25π
= 78.5
How do you apply the distrubtive property to simplify the expression. -3(6+2
Answers
Answer:
-24
Step-by-step explanation:
multiply the 6 by the -3 and the 2 by -3
you get -18+-6
if you add them together u get -24
Hey there!
-3(6 + 2)
= -3(8)
= -24
Therefore, your answer is: -24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
F=8
e=0.2
When F=25 find x
Answers
Answer:
0.625
Step-by-step explanation:
hope it can help you lovelots
You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?
Answers
Answer:
Hi there, this is what I got but sorry if it is incorrect.
Hamburger Patties Package of 10 $15.50 Package of 8 $12.40
Hot Dogs Package of 12 $6.23 Package of 10 $4.99
Hamburger Buns Package of 8 $3.79 Package of 8 $3.55
Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55
Potato Salad Gallon $4.33 Gallon $5.55
Ice Cream Gallon $7.55 Gallon $6.99
Answer:
its )B
Step-by-step explanation:
Find the measure of each interior angle of a polygon having 9 sides
Answers
Answer:
Sum of the interior angles = 1260°.
Step-by-step explanation:
Sum of the interior angles = (n - 2)180° where n= number of sides
Sum of the interior angles = (9-2)180
Sum of the interior angles = 1260°
What is the total number of possible four-card poker hands if the hand contains exactly one heart?
Answers
Answer:
Step-by-step explanation:
Assuming no wild cards ie. 52 card deck.
13 ways to fill the heart card
39 ways to fill the second card
38 ways to fill the third card
37 ways to fill the fourth card
13(39)(38)(37) = 712,842
If the side of a square is increased by 25%, then by how much is its area increased?
Answers
Answer:
56.25%Step-by-step explanation:
If a variable X changes by A% and another variable Y changes by B%, then overall net change when the two variables are multiplied is given by :
A + B + AB/100
If the change is “increase” it is positive & if the change is “decrease” it is negative.
In the given question, A = B = 25% ( Both positive as length increase )
And area = Side x Side
Applying our versatile relation :
Net increase in area = 25 + 25 + (25x25)/100 = 56.25%
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
Answers
[tex] \Large{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
Explanation:We are given a linear equation, and we would like to express it in slope-intercept form.
[tex] \\ [/tex]
[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]
Where:
m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.[tex] \\ [/tex]
Given linear equation:
[tex] \sf 4y - 4x = -28 [/tex]
[tex] \\ [/tex]
To find the slope-intercept form of the equation, we have to solve for y.
First, add 4x to both sides of the equation:
[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]
[tex] \\ [/tex]
Then, divide both sides of the equation by 4:
[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
▪️Learn more about the slope-intercept form here:
↣https://brainly.com/question/26163957
First , Add 4x to both sides :
➱ [tex]\sf{4y-4x=-28}[/tex]
➱ [tex]\sf{4y=-28+4x}[/tex]
Next , Divide all terms by 4 to get y all alone
➱ [tex]\sf{y=-7+x}[/tex]
Rearrange so that our result matches the format for slope - intercept :
➱[tex]\sf{y = x +7}[/tex]
Henceforth, Equation : y = x + 7 .
What is the slope of the line on the graph?
Answers
Answer:
slope: 4/12
Simplified to: 1/3
Negative slope so: -1/3
Y intercept:4
Form: Y=mx+b
Y=-1/3x+4
a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:
Answers
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit
Casey is in Florida when a Zombie Apocalypse suddenly breaks out in his area. He needs to help his family and friends cross a sinkhole to escape the marauding herd. Help Casey calculate the amount of rope he will need to zipline his family and friends to safety … don’t mess this up!
(a) Choose a point on the graph (using whole numbers) and use this point to form a triangle, making the red line one side of this triangle. Calculate the three midsegments of the triangle you created, these will stabilize the zipline. Show all of your calculations below and draw in your work in the image above.
(B) Calculate the perimeter of the triangle and the lengths of each midsegment. Add these together so that Casey knows just how much rope he will need to create this lifeline to safety. Show all of your work below. Only round off at the end of the problem. Round to the nearest hundredth digit.
Pleaseeee help 50 points I don't know how to make you brainliest but include that with the answer and I will make you brainliest plzz
Answers
Attaching ropes to the midsegment of the triangle formed ensures that the
zipline can more safely cross the family and friends to safety.
The amount of rope needed to create a lifeline to safety is approximately 46.56Reasons:
The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)
The point selected, P = (4, -3)
[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]
[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]
[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]
The lengths of the midsegments are found as follows
Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)
Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3
Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5
(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13
The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)
The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6
The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)
The amount of rope needed to create a lifeline to safety is therefore;
19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56
The amount of rope needed to create a lifeline to safety = 46.56
Learn more here:
https://brainly.com/question/4451516
https://brainly.com/question/16958031
f(x)=(1/7)^x then what is f(-3)
Answers
Answer:
[tex]f(-3)=343[/tex]
Step-by-step explanation:
[tex]f(x)=(\frac{1}{7} )^x[/tex]
Plug -3 into x and solve using the negative power rule:
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]
Sorry, those fractions got very small. Let me know if I need to clarify anything there
Value of x 2(x-4)=10
Answers
Answer:
x=9
Step-by-step explanation:
brainiest to whoever correct
Answers
Answer:
y = 138
Step-by-step explanation:
90 + 4x + 3x + 6 = 180
96 + 7x = 180
7x = 84
x = 12
———
3(12) + 6
36 + 6
42
———
180 - 42 = 138
,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)
Answers
Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)
Step-by-step explanation:
What is the final cost of a $40 item after a 8% tax is applied
Answers
Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.
Answers
Step-by-step explanation:
The polynomial with given zero's is:
f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)Or simplified:
f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't knowWorking alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?
Answers
Answer:
ten hours for them to get the job done completely without any hesitation.
Step-by-step explanation:
i studied it
Simplify the linear expression.
−2x+3(−5x+1)
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's simply the given expression ~
[tex] - 2x + 3( - 5x + 1)[/tex][tex] - 2x - 15x + 3[/tex][tex] - 17x + 3[/tex]CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answers
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.
A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that
Answers
Answer:
I would say its a 16.5 %
Step-by-step explanation:
Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?
Answers
Answer: 63 votes
Step-by-step explanation:
Simply multiply 81 by 7/9 to get the answer, 63 votes.
Hope it helps :) and let me know if you want me to elaborate.
63
Step-by-step explanation:
(7/9) x 81 = 63
Sally Jones had a policy with a $250 deductible which paid 80% of her covered charges less deductible. She had medical expenses of $18,240.00. What is S
Answers
Answer
Find out the insurance company's payment .
To proof
Deductible
The deductible is the amount of money you will pay in an insurance claim before the company starts paying you insurance coverage .
As given
Sally Jones had a policy with a $250 deductible which paid 80% of her .covered charges less deductible
She had medical expenses of $18,240.00.
Amount becomes after deducting deductible = $18,240 - $250
= $17990
80 % is written in the decimal form
now 80% of the Amount after deducting deductible
= $ 14392
Therefore $ 14392 is the insurance company's payment .
Remember To Stay In School
Wink Wink
Answer:3,848
Step-by-step explanation:I took the test.