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
The Sum Of Two Numbers Is 18 And Their Difference Is 4
Answers
Answer:
The two numbers are 7 and 11.
[711? Is this an ad? ← :)]
Step-by-step explanation:
Let A and B stand for the two numbers.
We are told that:
1) A+B=18, and
2) A-B=4
Take the first expression and rearrange to isolate A:
A+B=18
A=18-B
Use this in the second expression:
(18-B)-B=4
-2B = -14
B = 7
From (1) we find A:
A+B=18
A+7=18
A= 11
If A=11, then B=7 (from A+B=18)
CHECK:
Does A+B=18?
11 + 7 = 18? YES
Does A-B=4?
11 - 7 = 4? YES
Phil would like to make a profit of $250 this summer mowing his grandfather’s lawn. If he plans to mow 20 times and estimates that his fuel costs will be $30 for the entiresummer,which equation could be used to determine how much should he charge for each mowing?
Answers
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
Answer:
20x - 30 = 250
Step-by-step explanation:
20x - 30 = 250
20x = 280
x = 14
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?
a. Triangle QRS is an equilateral triangle because QR = RS.
b. Triangle QRS is an isosceles triangle because QR = QS.
c. Triangle QRS is a scalene triangle because all sides have different lengths.
d. Triangle QRS is an isosceles triangle because QR = RS.
Answers
Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
Answer:
D.
Step-by-step explanation:
Solve for y: 6x + 2y = 12
PLEASE SHOW STEPS.
(Brainliest is going to be given once 2 people answer.)
# 12 Points
Answers
solve for y first
2y=12-6×
divide each term by 2 and simplify
y=6-3x
Answer:
y=6-3x
Step-by-step explanation:
6x+2y=12
6x+2y=12 divide all by 2
3x+y=6 subtract 3x from both sides
y=6-3x
Why is 1 + (−5) equal to −4?
Because it is 5 units to the right of 1 on a horizontal number line
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number lin
Answers
Answer:
because its 5 units to the left on a horizontal number line
An 8-ounce bottle of glue costs $1.92. What is the unit price
Answers
Answer:
$0.27 for 1 ounce
Step-by-step explanation:
Hope this helps!!!
a football stadium, 55% of the crowd is cheering for Team A, and 48 % of the crowd is female . 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?
Answers
Answer:
67%
Step-by-step explanation:
I added 48%+19%
A
B
C С
1. How many blue rhombus blocks does it take to build a scaled copy of Figure A:
a. Where each side is twice as long?
b. Where each side is 3 times as long?
c. Where each side is 4 times as long?
Can some plz help me
Answers
Answer:
c
Step-by-step explanation:
f(x)=4x+2
g(x)=x^2-1
Find (f+g)(-4)
Answers
(4x+2+x^2-1)(-4)=(x^2+4x+1)(-4)=(-4)^2+4(-4)+1
=16-16+1
=1
Hanna says you cannot represent the fraction 1/4 on the number line.
Answers
Answer:
The answer is D; Hanna is not correct,. The fraction 1/4 is equal to 2/8, so you can graph it on the second tick mark to the right of zero.
Step-by-step explanation:
Because the number line is broken up into 8 parts, the points on the graph are, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 (also known as one)
1/4 = 2/8. We know this because if we multiply 1/4 by 2, we get 2/8.
So, because 2/8 is the same as 1/4, we know that Hanna is not correct, and that you can graph 1/4 on this number line, because it is the same as 2/8.
I hope that this helps :)
Answer:D the last one.
Step-by-step explanation:
Sarah makes a party punch that requires 1 gallon of orange juice for every 2.5 gallons of lemonade. Dean's favorite punch recipe calls for a gallons of orange juice
for every 1 gallon of pineapple juice. What would the ratio of orange juice to lemonade or pineapple juice be for 4 batches of each punch recipe?
Answers
Answer
10
Step-by-step explanation:
4x2.5=10
Help please! Please!
Answers
3) y = x + 3
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answers
Answer:
p = 45 - 2.5f
Step-by-step explanation:
5f + 2p = 90
just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying
5f + 2p = 90
-5f -5f
2p = 90 - 5f
/2 /2
p = [tex]\frac{90 -5f}{2}[/tex]
p = 45 - 2.5f
2x + 3y = 5x - y
Complete the missing value in the solution to the equation.
( ,0)
Answers
Answer:
0
Step-by-step explanation:
If you replace y with 0 (which you do since you are given y = 0 and you are trying to find x from the (_,0) point), you get [tex]2x = 5x[/tex]. The only way for x to satisfy this is x = 0.
Assignments due in 4 minutes. HELP
Answers
Answer:
(-1,4)
Step-by-step explanation:
Because you look at the (Y,X) line first and then you see the Y is -1 and the X line is 4 and that will give you an answer as (-1,4)
What is the slope of the line on the graph?
10
.
Enter your answer in the box
Answers
Answer:
Slope = -2
Step-by-step explanation:
use the formula y2-y1 over x2-x
Pick two points from the graph
(3,-6) and (-3,6)
X= 3 and -3
Y= -6 and 6
6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)
What is the F(x) formula
Answers
f (x) = mx + b. f (x) is the value of the function. m is the slope of the line. b is the value of the function when x equals zero or the y- coordinate of the point where the line crosses the y-axis in the coordinate plane. x is the value of the x-coordinate.
14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.
Answers
Answer:
7
Step-by-step explanation:
GCF of 14 and 21 is 7
Find 152.875 + 35.4. Express your answer in decimal form.
Answers
Answer:
188.275
Step-by-step explanation:
152.875
35.4
---------------------
1 8 8 . 2 57
LINE UP THE DOT
HOPE THIS HELPS!!!!
12
Х
18
x=
TO
This is 7th grade math
Answers
i give new question for not so many points. 44+4
Answers
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
44+4=48
yeah basic answer
HELP! Write the following equation in point slope form.
Slope of 5 and a x-intercept of -1
Answers
Answer:
y + 0 = 5 ⋅ ( x + 1 )
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
y − y 1 = m ( x − x 1 ).
Answer: My answer is (5,-1) sorry for the stop - typing I had to do something.
A company's stock began the day at $36.66 per share. That price drops by $1.69 each hour.
a. What is the price per share after 6 hours?
Answers
Answer:
vwhich principle prevents a brach from abusing its power
Step-by-step explanation:
Find the measures of the sides of triangle DEF, then classify it by its sides. YOU MUST SHOW WORK TO GET CREDIT!
D(-2, 3), E(5, 5), F(-4, 10)
Answers
Answer:
FE = 10.30
ED = 7.62
FD = 7.28
Step-by-step explanation:
First, use coordinate system to draw a square that each angle of triangle reach the sides of the square, then use Pythagoras theory to find the length of the sides(c^2=a^2+b^2)
FE = root(9^2+5^2) = root(106) = 10.30
ED = root(3^2+7^2) = root(58) = 7.62
FD = root(2^2+7^2) = root(53) = 7.28
help with this question and i will do brainliest (if there are multiple answers)
Answers
In order to simplify this, we need to get a common denominator and we can do this by multiplying 2/3 by 2, which yields 4/6 s.
Now, we add the two together:
4/6(s) + 5/6(s) = 9/6 (s) = 21
Finally, we can divide 21 by 9/6 which yields 126/9. This simplifies to 14.
S = 14
Write 7power of 8 times 7power4
Over 7 cubed
as a single power of 7
Answers
Answer: U should try a video because i can't do exponents on my computer and i don't have time to write it.
Step-by-step explanation:
what does a “mirror view” mean
Answers
Answer:
In mirror view, when you look at your self-view video, your video appears as if you were looking at your reflection in a mirror. The left and right sides of your image appear to be reversed.
Answer:
It means when a person can only see straight and not on the sides. For example, when you are looking at the computer screen, you also see things around it on the sides. By if a person has mirror view, the he only see only the thing directly in front of him and nothing else.
Step-by-step explanation:
Can you hellllp me pleaaaseeee
Answers
Answer:
Total interest = A - P = $2,223.00
Total amount = $10,023.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 9.5%/100 = 0.095 per year.
Solving our equation:
A = 7800(1 + (0.095 × 3)) = 10023
A = $10,023.00
The total amount accrued, principal plus interest, from simple interest on a principal of $7,800.00 at a rate of 9.5% per year for 3 years is $10,023.00.
5. a. After receiving a 3 % raise, Randy's salary is now $4 120. What was her
original salary? Her original salary was $
Answers
Answer:
$4000.
Step-by-step explanation:
Let x = original salary
x * 1.03 = $4,120.
x = 4000
Which expression is equivalent to x^-5/3?
Answers
Answer:
The one you selected is true <3
Step-by-step explanation:
Answer:
The one you selected is true I agree! :D
Step-by-step explanation: