Answers
Answer:
Given, x−x1=5
Squaring both the sides,
⇒(x−x1)2=52
⇒x2+x21−2(x)(x1)=25
⇒x2+x21=25+2
⇒x2+x21=27
Now,
x3−x31
=(x−x1)[(x)2+(x1)2+(x)(x1)]
=5(27+1)
=140
9514 1404 393
Answer:
322
Step-by-step explanation:
Consider the cube ...
(a +b)³ = a³ +3a²b +3ab² +b³
= a³ +b³ +3ab(a+b)
Now, for a=x and b=1/x, we have ...
(x +1/x)³ = x³ +1/x³ +3(x)(1/x)(x +1/x)
Using the known value for x+1/x, this is ...
7³ = x³ +1/x³ +3(7)
x³ +1/x³ = 7³ -3·7 = 343 -21
x³ +1/x³ = 322
_____
If you want to try this with numbers, the solutions to the original equation are ...
x ≈ 6.85410196625 and its reciprocal.
Related Questions
Find the value of x in the triangle shown below.
Answers
Answer:
55
Step-by-step explanation:
I believe it's 55 because the triangle has to equal 180
so I subtracted 70 from 180 and x can't be 70 because they don't have the same lengths
subtracting 70 from 180 gave me 110 then I divided by 2 since both the top angle and x would have the same angle in degrees xD
Solve the equation, justify
each step with an algebraic
property.
7 = 16 + 3x
Answers
7-16 = 3x
-9 = 3x
x = (-9)/(3)
x = -3
Using the graph, determine the coordinate of the y-intercept of the parabola.
Answers
Answer:
(0,8)
Step-by-step explanation:
The parabola intercepts at 8 on the y axis, and since the interception has zero x value, x=0.
The graph the coordinate of the y-intercept of the parabola is (0, 8).
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
Given:
From the parabolic graph we can see that the intersecting point (0, 8)
Now, the y- intercept is the point in the vertical axis.
As, from the graph the coordinate of the y-intercept of the parabola is (0, 8)
Learn more about intercept here:
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4/5 x 2/7 because my teacher is saying its not this sooooo
Answers
Answer:
8/35
Step-by-step explanation:
4/5x2/7
4x2=8
5x7=35
Hope this helps. Plz give brainliest.
Answer:
8/35 Good luck sis ;)
Step-by-step explanation:
48/1000 decimal form
Answers
Answer:
0.048
Step-by-step explanation:
I've used a calculator, then rounded it for you.
Let me know if you need any more help. :)
Robbie needs to figure out how much money he is going to spend on burgers. He needs 22 in total and it costs $3.99 for 4.
Answers
Answer:21.94
Step-by-step explanation:22 divided by 4 = 5.5 5.5 times 3.99$ equals 21.94
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answers
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
determine which is less expensive per can a 6 pack of soda for 2.20 or a 12 pack of soda for 4.25 explain
Answers
Answer:
the 12 pack would be cheaper
Step-by-step explanation:
first you would find the price of one can (2.20/6)=.37 and (4.25/12)=0.354
the cheapest would be the 12 pack
Help please in the photo
Answers
Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
Answers
Area of rectangle=length multiplied by breadth
=11 multiplied by 6.5= 71.5ft^2
Kayla paid $27.50 for a pair of gloves. The cost of the gloves is $8.75 more than the cost of a scarf. Which equation can be used to find the cost of the scarf?
Answers
Answer:
You can use subtraction
Step-by-step explanation:
$27.50 - $8.75 = $18.75 (cost of scarf)
-----------------------------------------------------------------------
the gloves cost 27.50 dollars and if the scarf cost 8.75 dollrs more then that means that if we subtract that extra mount we should get the price of the scarf
if $18.75 is the cost of scarf and if gloves are $8.75 more then...
$18.75 (scarf) + $8.75 (extra $) = $27.50 (gloves)
Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days
Answers
Answer:
In 1 day, 1.70
In two days 0.022
Note; Unit was not given in the question, I would have included it
Step-by-step explanation:
Here, we are to calculate the amount of caffeine remaining in the body.
To calculate this, we simply substitute for the number of hours t in the equation.
In one day , we have 24 hours
So our substitution will be t = 24
Hence; for a day;
g(24) = 130(0.8346)^24 = 1.70
For two days, we have t = 48 hours
Thus; g(48) = 130(0.8346)^48 = 0.022
A surveyor is surveying a street. The surveyor is standing at point B looking down the street at a No Parking sign at point C and a Stop sign at point A. Given BC = 4x-5 meters, BA = 20 meters, CA = 6 meters, and point C is between B and A, what is x in meters?
Answers
Answer:
i think x is bc=4x-5 meters
Step-by-step explanation:
Pls someone help hurry
Answers
Answer:
First base goes with first height, second base with third height and third base with second height
Step-by-step explanation:
52$ tie; 50% discount
Answers
Answer:
$26
Step-by-step explanation:
its 50% , just divide by 2
Answer:
52/2 = $26
Step-by-step explanation:
50% is half, so simply divide it by 2
. You want to buy some underwear. A
package of 8 costs $3.12. A package of 15
costs $6.15. A package of 20 costs $7.60.
Which package is the best buy?
Answers
Answer:
the second
Step-by-step explanation:
Why is the answer 3? Please explain.
Answers
Answer:
c
Step-by-step explanation:
you have to plug it in and trying slove for f(x) and basically it is straight forward.
Each month, your phone company charges you a fee of 15 cents per minute as well as a service fee of $6.95 . Write a linear function rule that models the number of dollars y you pay each month for any number of minutes x.
Answers
Answer:
y=$9x+$6.95
Step-by-step explanation:
Answer:
$7.10
Step-by-step explanation:
6.95+.15=7.10
Quadrilateral WXYZ is a square. If WT=6, find each measure?
Answers
We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
In short :ZX = 12
XY = 8.48528
m∠WTZ = 90°
m∠WYX = 45°
7 Chris needs to cut a roll of twine into 16 equal lengths for a
project. If the roll of twine measures 900 inches, how long
will each length of twine measure?
Answers
Answer:
I am pretty sure it is 56 because all you have to do is dvided and it comes out to 56.25 but you cant have .25 because that is not an equal peice so yeah I think it is 56
Answer:56.25
Step-by-step explanation:I had same problem it was correct
easy questions pls help (question in picture)
Answers
Answer:
1. P= 80
60/.75=80
2. x= 5/3
-27/25x / -27/25= -9/5 / -27/25
-9/5 / -27/25 --- -9/5 x -25/27
3. -300
-2.7/-2.7 = 810/-2.7
4. 120
84x100/70
84/x = 70/100
1. p=80
=(60×4)÷3
=240÷3
=80
2.x=1.6667
={-9/5}×{-25/27}
=1.6667
3.t=-300
=(810÷-2.7)
=(810×10)÷(-2.7×10)
=(8100÷(-27)
=300
10 times the sum of half a number x and 4 is 6
Answers
Answer:
-10.4
Step-by-step explanation:
Assume that the number we are looking for is x.
Now, we want to get 10 times the sum of half the number and 6 and equate this expression to 8. Then we can solve for x
step by step
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8
Now solve for x
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
Solve for y: 3x +y = 12
PLEASE SHOW STEPS.
Brainliest
Answers
Answer:
y=6
Step-by-step explanation:
you can do 3x2 to get 6. 12-6=6 so y can equal 6
MATH QUESTION PLS HELP!
Answers
Answer:
4) -14/5
Step-by-step explanation:
? what is the ans of the question
Answers
Answer:
a. 12x+22, b. x = 9
Step-by-step explanation:
a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22
b. 12x+22=136, 12x=108, x=9
a. 12x+22, b. x = 9
Step-by-step explanation:
a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22
b. 12x+22=136, 12x=108, x=9
Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?
Answers
Answer:
35 min
Step-by-step explanation:
given that the total time spent is 140min
and that the time spent reading is x minutes
and also that the time spent doing home work is 2(x+5)
the time spent playing video game is 25
the expression for the total time is given as
total = reading +homework +video game
140=x+2(x+5)+25
solving for x we have
140=x+2x+10+25
140=3x+35
140-35=3x
105=3x
x=105/3
x=35
kenny spent 35 min reading
Time spend for reading is 35 minutes
Given that;
Total number of minutes Kenny have = 140 minutes
Time spend for reading = x
Time spend for homework = 2(x + 5) = 2x + 10
Time spend for games = 25 minutes
Find:
Time spend for reading
Computation:
Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games
140 = x + 2x + 10 + 25
3x + 35 = 140
3x = 105
x = 105 / 3
x = 35
So,
Time spend for reading = 35 minutes
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help Anita is making headbands for her softball team. She needs a total of 34 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
cotton 5.54
flannel 2.62
fleece 4.27
terry cloth 6.52
Answers
Flannel=Yes
Fleece=No
Terry cloth=No
cost less than $8 per yard cotton, flannel and fleece.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
For cotton:
5.54 ÷ 3/4
=7.39<8
For flannel:
2.62 ÷ 3/4
=3.49<8
For fleece:
4.27 ÷ 3/4
=5.69 < 8
For terry cloth:
=6.52 ÷ 3/4
= 8.69>8
So, cost less than $8 per yard cotton, flannel and fleece.
Learn more about Unitary method here:
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There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies. Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread. How many cups of flour are left?
Answers
Answer:
10.1
Step-by-step explanation:
19.3-2.9=16.4
16.4-1.2=15.2
15.2-5.1=10.1
so there are 10.1 cups of flower left
Answer:11.3
Step-by-step explanation:
19.3 - 2.9 -5.1= 11.3
You don't subtract the 1.2 cups of sugar because it's only asking about the flour.
Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.
Answers
2.25 times 2.80 gives the cost for the total coleslaw, which is $6.30
2 times 3.15 gives the cost for the total macaroni salad, which is also $6.30
Add those together and you get $12.60, which is larger than $10, so it is not enough
explain how to solve it?
6 = 3 x - 9
Answers
Answer:
5
Step-by-step explanation:
Step 1:
6 = 3x - 9 Equation
Step 2:
15 = 3x Add 9 on both sides
Step 3:
x = 15 ÷ 3 Divide
Answer:
x = 5
Hope This Helps :)
Answer: 5
Step-by-step explanation:
6 = 3x - 9
+9 + 9
15 = 3x
/3 /3
5 = x