[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]
Now
[tex]\\ \sf\longmapsto x+\dfrac{1}{x}=12[/tex]
[tex]\\ \sf\longmapsto \left(x+\dfrac{1}{x}\right)^2=12^2[/tex]
[tex]\\ \sf\longmapsto x^2+2\times x\times \dfrac{1}{x}+\left(\dfrac{1}{x}\right)^2=144[/tex]
[tex]\\ \sf\longmapsto x^2+\dfrac{1}{x^2}+2=144[/tex]
[tex]\\ \sf\longmapsto x^2+\dfrac{1}{x^2}=144-2=142[/tex]
Answer:
122
Step-by-step explanation:
x+1/x = 12
x + 1 = 12x
x = 1/11
（1/11）² + 1 / （1/11）² = 1/121 +1 /1/121 = 122
Match the expressions given in words with their algebraic expressions.
&+59
5(5—9)
5+39
5(9-5)
-56
Answer:
5+39 this is the answer 5+39
Devy likes to learn! Could someone please tell me how to answer this question?
If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?
On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).
On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).
On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).
On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).
Answer:
B
Step-by-step explanation:
Recall that if two functions, f and g, are inverses, then by definition:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
Hence, the graph of f(g(x)) should be simply y = x.
Therefore, our answer is B, as both coordinates are equivalent for all three points.
When two resistors with resistances of A ohms and
B ohms are in a parallel-series circuit, the total
resistance, R, in ohms, is given by the equation above.
According to this equation, which of the following
resistances of the two resistors would yield the greatest
total resistance?
A) 1 ohm and 1 ohm
B) 1 ohm and 2 ohms
C) 1 ohm and 4 ohms
D) 2 ohms and 2 ohms
Step-by-step explanation:
Answer: D) 2 ohms and 2 ohms
please help!! need answer will give brainliest
Answer:
k(3) is 7 and f(h(15)) is 43
Step-by-step explanation:
(a).
[tex]{ \sf{k(x) = h(x) + g(x)}} \\ { \sf{k(x) = (3 \sqrt{x + 1}) + ( - {x}^{2} + 3x + 1) }} \\ { \sf{k(x) = (3 \sqrt{3 + 1} ) + ( - {3}^{2} + 3(3) + 1) }} \\ { \sf{k(x) = 6 + 1}} \\ { \sf{k(x) = 7}}[/tex]
b).
[tex]{ \sf{f(h(x)) = 4(3 \sqrt{x + 1}) - 5 }} \\ { \sf{f(h(15)) = 4(3 \sqrt{15 + 1}) - 5 }} \\ { \sf{f(h(15)) = 4(3 \sqrt{16} ) - 5}} \\ { \sf{f(h(15)) = 48 - 5}} \\ { \sf{f(h(15)) = 43}}[/tex]
The quotient of -8 and the sum of a and b
Hi! I'm happy to help!
To solve this, you need to know what all of the terms mean. Quotient means division, and sum means addition. Knowing this we can set up our expression.
Because there is an operation inside of an operation (addition inside of division) we use parenthesis.
-8÷(a+b)
I hope this was helpful, keep learning! :D
what is twice the amount of 86
Answer:
172
Step-by-step explanation:
[tex]86[/tex] × 2 = 172
Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)
Answer:
1
Step-by-step explanation:
First, find the inverse of the original function.
x = 2y + 2
x-2/2
Second, substitute x with 4 and solve.
4-2/2
2/2
1
Best of Luck!
If f(x) = 2x + 2 is invertible, then its inverse is another function f ⁻¹(x) such that
f(f ⁻¹(x)) = 2 f ⁻¹(x) + 2 = x
Solve for f ⁻¹(x) :
2 f ⁻¹(x) + 2 = x
2 f ⁻¹(x) = x - 2
f ⁻¹(x) = (x - 2)/2 = x/2 - 1
Then when x = 4, we have f ⁻¹ (4) = 4/2 - 1 = 2 - 1 = 1.
find the circumference of a circle with a diameter of 2.5 inches
Answer:
Circumference=2π*(radius)
= 2*3.14*2.5 inches
= 15.7 inches
Turn 1 1/5 to improper fraction
Answer:
6/5
Explanation:
Step 1
Multiply the denominator by the whole number
5 × 1 = 5
Step 2
Add the answer from Step 1 to the numerator
5 + 1 = 6
Step 3
Write answer from Step 2 over the denominator
6/5I hope this answer helps you out! Brainliest would be appreciated.The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers
Answer:
Hello,
Answer : 1400 and 1575
Step-by-step explanation:
Let's say a and b the ywo numbers
[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]
True or false? The polynomial 3xy + 4z - 8 is a trinomial.
Answer:
False is the answer.Step-by-step explanation:
answer is False.Answer:
True.
Step-by-step explanation:
A trinomial is an algebraic expression consisting of 3 terms. The terms in this instance are: 3xy, 4z, and -8.
1106.666667 To the nearest whole number
Answer:
1107.
You are rounding up because the number in the tenths slot is over 5.
Write an equation of the line passing through (-5,-5) and (0,-9)
Answer:
[tex]y=-\frac{4}{5}x-9[/tex]
need actual help.
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers. The value of the first number is _____.
Answer:
I think the value of first number is30.
Find the volume of the figure and round your answer to the nearest tenth if necessary
What is the answer to my question?
Answer:
2/3
Step-by-step explanation:
24/36
Divide the top and the bottom by 12
24/12 =2
36/12 = 3
2/3
5. Refer to the figure shown. Determine the measure of
the unknown angle. Show or explain your thanking.
Answer:
you haven't posted any diagram
Step-by-step explanation:
The width of rectangle A is 2 feet and the length is 6 feet. The width of a similar rectangle is 3 feet. What is it length
9514 1404 393
Answer:
9 ft
Step-by-step explanation:
The length is 3 times the width, so in the larger rectangle it will be ...
length = 3×width = 3×(3 ft) = 9 ft
The length of the larger rectangle is 9 feet.
_____
Additional comment
We used the fact that the ratios of side lengths (length:width) are the same for similar figures.
You can also recognize that the larger rectangle's dimensions are 3/2 times those of the smaller rectangle. (3/2)(6 ft) = 9 ft . . . length of larger rectangle
Answer:
The answer is 9
I might be wrong....
Step-by-step explanation:
I got it because 2x3=6 so i multiplied 3x3 and 9
AGAIN I MIGHT BE WRONG!!!
Find the area in the right tail more extreme than z=0.93 in standard normal distribution, rounded to three decimal places.
Answer:
17.62%
Step-by-step explanation:
z→ ρ
0.93 (L)0.82381 (R)0.17619
17.62% / 82.38%
The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.
What is a normal distribution of data?A normal distribution of data occurs when the majority of data points are relatively similar and the data set has a small range of values.
We need to find the area in the right tail more extreme than z=0.93 in standard normal distribution.
Here, z=0.93
z→ ρ
The mean ( the population mean, at 0.93 standard deviation units, and it represents an area that is, 17.619% of the total area of the standard distribution).
In this normal distribution, every given score is a z-score. A z-score explain us the distance from the mean in standard deviation units.
A = 17.62% / 82.38%
Hence, The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.
Learn more about standard deviation and variance:
https://brainly.com/question/11448982
#SPJ2
HHHHHHHheeellllllppppp MEMEMEMEMMEMEMEMEMEEEEEEEE PLLLZZZZ
Please help !!!!!!! Asap
Answer:
A, C, E, G
Step-by-step explanation:
Basic set operation
Find QR. please help I’m so lost on this I’ve done it i don’t know how many times. And got it wrong.
Answer:
Step-by-step explanation:
Using the theorem of the middle in a triangle:
[tex]2x+22=\dfrac{x+20}{2} \\\\4x+44=x+20\ cross\ products\\\\3x=-24\\\\x=-8\\[/tex]
Physical prototypes are: Group of answer choices representation of the product in a nontangible, usually mathematical or visual manner. tangible approximation of the product that often look and feel like the product. analyzed rather than built. computer simulated or computer models of three-dimensional geometry.
Answer:
(b) tangible approximation of the product that often look and feel like the product
Step-by-step explanation:
"Physical" means it exists as an object in the real world, not just as a model on a computer screen. "Prototype" means it is an approximation of the finished product, lacking in one or more details of appearance, structure, or functionality.
Write the number 12794.5 in scientific notation.
Answer:
the other guy is wrong the answer is 1.27945 × 10 but then 10 is to the power of 4 but I do not know how to type that.
Step-by-step explanation:
To convert 12794.5 into scientific notation, follow these steps:
1. Move the decimal 4 times to left in the number so that the resulting number, m = 1.27945, is greater than or equal to 1 but less than 10
2. Since we moved the decimal to the left the exponent n is positive
n = 4
3. Write in the scientific notation form, m × 10 to the power of n
= 1.27945 × 10 to the power of 4
Therefore, the decimal number 12794.5 written in scientific notation is 1.27945 × 10to the power of 4 and it has 6 significant figures.
If a textbook costs £7.80, how many can be bought for £101.40?
Answer:
13 textbook can buy.
Step-by-step explanation:
13 textbook can buy.
Divide total by price per book:
101.40 / 7.80 = 13
13 books can be bought
Concord Company purchased a machine on July 1, 2021, for $29,400. Concord paid $210 in title fees and county property tax of $131 on the machine. In addition, Concord paid $525 shipping charges for delivery, and $499 was paid to a local contractor to build and wire a platform for the machine on the plant floor. The machine has an estimated useful life of 6 years with a salvage value of $3,150.
Answer:NONE
Step-by-step explanation:
No question asked
Which statements are true of functions? Check all that apply.
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Hey guys are you available?
Answer:
c
Step-by-step explanation:
Answer:C
Step-by-step explanation:
a contractor charges $1200 for 100 square feet of roofing installed. at this rate how much does it to have 1,100 square feet installed
Answer:
$13,200
Step-by-step explanation:
if 100 square feet = $1,200
1,100 square feet = $13,200
find the quotient 1/5 / (-5/7) =
Answer:
-7/25
Step-by-step explanation:
1/5 ÷ (-5/7)
Copy dot flip
1/5 * -7/5
-7/25
