Answers
Answer:
First rationalize the surd
(√3 +√2)(√3 - √2)/(√3 - √2)(√3 -√2)
The final answer will be 5 + 2√6
So x = 5 + 2√6
I) x + 1/x
5 + 2√6 + 1/5 + 2√6
Find the LCM
The final answer will be 10
ii) x² +1/x²
(5 + 2√6)² + 1/(5 +2√6)²
= 49 + 20√6 + 1/49 + 20√6
Find the LCM
The final answer will be 98
For i) x = 10
ii) x = 98
Hope this helps.
Answer:
i) 10
ii) 98
Step-by-step explanation:
x= (√3+√2)/(√3-√2)
i)
x+1/x= (√3+√2)/(√3-√2) + (√3-√2)/(√3+√2)= ((√3+√2)²+(√3-√2)²)/(√3+√2)(√3-√2)=(3+2+2√6+3+2-2√6)/(3-2)= 10ii)
x²+1/x²= (x+1/x)² - 2x*1/x= 10² - 2= 100 - 2= 98Related Questions
HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?
Answers
X: 1,2,3,4,5
Y: 5,10,15,20,25
Answer: y= 5, 10, 15, 20, 25
Step-by-step explanation:
1, 2, 3, 4, and 5 each are 1 number apart
5, 10, 15, 20, 25 each are 5 numbers apart
the rate of change is 1/5
Use the 2016 marginal tax rates to compute the tax owed by the following person.
A married woman filing separately with a taxable income of $186,000.
Answers
Answer:
If you are talking about the amount of money, it is $664,285.71
If not then lmk
Step-by-step explanation:
In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°
Answers
Answer:
1. 40°, 25°
Step-by-step explanation:
The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.
2x + 4 + 4y - 4 = 180
x+ 10 + 5y + 5 = 180
2x + 4y = 180
x +5y + 15 = 180
x + 2y = 90
x + 5y = 165
x = 90 - 2y
x = 165 - 5y
90 - 2y = 165 - 5y
5y - 2y = 165 - 90
3y = 75
y = 25
x = 90- 2y = 90 - 2*25 = 40
x= 40, y = 25
(PIC INSIDE!!!) What is the equation of the following linear function?
Answers
Answer:
y=4x-4
Step-by-step explanation:
Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.
Therefore, the equation is y=4x-4. Hope this helps!
simplify 6^7/6^5 leaving you answer in index form
Answers
Answer:
6²
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , thus
[tex]\frac{6^{7} }{6^{5} }[/tex] = [tex]6^{(7-5)}[/tex] = 6²
The answer is 6^2.
What is division?
Division is the process of splitting a number or an amount into equal parts.
here, we have,
6^7/6^5
we know,
a^m/a^n
=a^(m-n)
so, we get,
6^7/6^5
=6^2
hence, The answer is 6^2.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?
Answers
Answer:
$468
Step-by-step explanation:
I = P*R*T
I = 300*0.04*14
I = 168
168 + 300 = 468
Can anyone help solve this
Answers
Answer:
Step-by-step explanation:
The solution or solutions to a system are where the 2 graphs intersect each other. Our graph goes up by 2 units. The point of intersection on the left is at (-6, 8) and the point of intersection on the right is at (2, 0).
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answers
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]m-6(n+2)=-8\\6n+m=16[/tex]
Rearrange the second equation and substitute it into the first equation.
[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]
Now we can use our value of n, and substitute it into the second equation to solve for m.
[tex]6(1)+m=16\\6+m=16\\m=10[/tex]
Now we can divide our values.
[tex]\frac{n}{m}=\frac{1}{10}[/tex]
What is the simplified expression for 5 a b + 9 a b minus a b?
Answers
Answer:
13ab
Step-by-step explanation:
5ab+9ab-ab=ab(5+9-1)=13ab
sum interior of polygon help!
Answers
Answer:
180
Step-by-step explanation:
Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers
Answers
Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p
Answers
Answer:
all the statements are true
Step-by-step explanation:
The acute triangle is the triangle in which all the angles are less than 90°
While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle
Given that
p = Acute triangle
q = equilateral triangle
Based on the above explanation
The conditions are as follows
p ∨ q is true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true
p ∧ q is also true, the ∧ refers that both the statements should be true.
The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows
The last means equal and is valid if both p and q are the same as they are, so that is true too.
Hence, all the statements are true
Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)
HELPPPPP
What are the coordinates of the hole in the graph of the function?
f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.
Answers
Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.
If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)
Step-by-step explanation:
I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:
We have the function:
f(x) = (x^2−3x−10)/(x−5)
We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.
If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.
First, we need to see if the numerator part is also zero when x = 5.
so
5^2 - 3*x - 10 = 25 -15 - 10 = 0
Ok, let's find the other root of the quadratic function:
x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)
then we have: (b + 5) = 3 and b*5 = -10
then b = -2, this means that we can write the numerator part as:
x^2 - 3*x - 10 = (x - 5)*(x + 2)
then our function is:
f(x) = (x - 5)*(x + 2)/(x - 5) = x + 2
This function has no holes.
Now, if the function actually is:
f(x) = x^2−3x−10/x−5
Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0
=
O RATIOS, PROPORTIONS, AND MEASUREMENT
Writing ratios for real-world situations
There are 8 new books and 9 used books on a shelf.
(a) What is the ratio of all books to new books?
(b) What is the ratio of all books to used books?
(a)
(b)
?
X
Answers
Answer:
(a) ratio of all books to new books is 17 : 8
or in quotient form: 17/8
(b) ratio of all books to used books is 17 : 9
or in quotient form: 17/9
Step-by-step explanation:
Number of new books = 8
Number of used books = 9
Total number of books = 17
Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:
a : b
which can also be translated to the quotient expression: a/b
Then the requested ratio of
(a) all books to new books is 17 : 8
or in quotient form: 17/8
(b) all books to used books is 17 : 9
or in quotient form: 17/9
write 3.25 x 10^4 as a ordinary number
Answers
Answer:
32500
Step-by-step explanation:
[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]
Answer:
32500
Step-by-step explanation:
3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answers
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
Choice C: (2,7)
Step-by-step explanation:
Using substitution method let y = x + 5
We have x + 5 = 6x - 5
Get let’s get rid of the 6x, so -5x + 5 = -5
Get rid of the 5 by subtracting by 5, so -5x = -10
Divide -5 on both sides and you get x = 2
Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.
So (2,7)
Please mark BRAINLIEST!
Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
0 feet
8 feet
80 feet
160 feet
Answers
Answer:
80 feet
Step-by-step explanation:
The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.
Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.
Answer:
c
Step-by-step explanation:
edge2020
Um aparelho elétrico tem potência de 6500 watts. É usado quatro vezes ao dia. Sendo o valor do kwhR$0,25 determine o custo de energia elétrica no final de trinta dias, sabendo que o mesmo cada vez que é ligado no dia permanece ligado 2 horas e 36 minutos
Answers
Answer:
After thirty days with the mentioned use the cost of the device is R$ 507,00.
Step-by-step explanation:
We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:
[tex]t = 2 + \frac{36}{60} = 2.6 \text{ h}[/tex]
[tex]\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}[/tex]
[tex]\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}[/tex]
[tex]\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}[/tex]
[tex]\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507[/tex]
After thirty days with the mentioned use the cost of the device is R$ 507,00.
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
IF Quadrilateral ABCD was rotated 90 degrees clockwise about point C, what would be the coordinates of B’?
A) (1, 1)
B) (2, 4)
C) (4, 2)
Answers
Answer:
X1,Y1
Step-by-step explanation:
If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.
Hope this helps!
Find the next three terms in the geometric sequence: 72, 36, 18,... (sorry for bothering a lot)
Answers
Answer:
18 / 2 = 9
9 / 2 = 4.5
4.5 / 2 = 2.25
The next three terms are 9,4.5,2.25
Hope this helps
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
$15.70
Step-by-step explanation:
The total Cost is 101.40
The tax is 7.20 Subtract the tax
=====================
The cost of 6 CDs=94.20
1 CD costs 94.2 / 6
1 CD costs 15.70
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answers
Answer: - 2.5
Step-by-step explanation:
The point R is - 2.5,
The numbers on the number line are arranged sequentially and in regular increment of 1 with only the integer numbers being displayed and ticked. The point R sits directly in between - 3 and - 2. Therefore, to accurately obtain the position of the blue dot, we take the average of both positions binding the blue dot. That is - 3 and - 2
Average = ( - 3 + - 2) / 2
Average = - 5 / 2 = - 2.5
Answer: yea it it - 2.5 i just did that test and got it right <3
Step-by-step explanation:
The complex conjugates theorem states that
another factor of the polynomial is
Answers
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]
Answer:
x-3i
Step-by-step explanation:
What is the value of x?
Answers
The line is 7 units long. Add the two equations together and set equal to 7:
7x-1 + 2x-1 = 7
Combine like terms:
9x-2= 7
Add 2 to both sides:
9x= 9
Divide both sides by 9:
X= 1
Answer:
For 2x -1, X = 3 (2 x 3 = 6 - 1 = 5)
For 7x -1, X = 1/7 or 0.142857.
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ?
Answers
Answer:
135ft^3
Step-by-step explanation:
Multiply all of the numbers to get your answer.
11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13
Answers
Sequence is take away 6 each time so the next three terms are....
7
1
-5
Answer:
7
Step-by-step explanation:
act
Help please !!!!! thank you
Answers
Answer:
C
Step-by-step explanation:
To find the product you must multiply the two expressions:
[tex](x-3)*(x+7)[/tex] Starting equation
[tex]x^{2} +7x-3x-21[/tex] Use the FOIL method to multiply the two binomials
[tex]x^{2} +4x-21[/tex] Combine like terms
I need help please!!
Answers
Answer:
8
Step-by-step explanation:
x = 8
f(8) = |8|
f(8) = 8
Does this help?
I will mark you brainliest!!! Identify the type of function.
Answers
Answer:
quadratic
Step-by-step explanation:
Jaylen and Michael are making a pizza with a 16 inch diameter. They want to put three cheese blend on 5 of the 45° slices (including the crusts). Each handful of cheese covers 21 square inches, Calculate the area of the pizza slices that they want to put cheese on.
Answers
Answer:
125.66 in2
Step-by-step explanation:
The area of the pizza is given by the formula:
Area = pi * radius^2
The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches
Then, the total area is:
Area = pi * 8^2 = 64pi in2
They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.
If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:
360° -> 64pi in2
225° -> x in2
x = (225/360) * 64pi
x = 125.66 in2
