The number, such that the geometric mean of the number and four times the number is 22, will be 11.
What is the Arithmetic and Geometric mean of two numbers a and b ?The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2 and their geometric mean is equal to [tex]\sqrt{ab}[/tex]
We have the geometric mean of a number and four times the number is 22.
According to the question, we can write -
G.M. = [tex]\sqrt{ab}[/tex]
Assume that the number is [x]. Then the second number will be [4x]. So -
22 = √4x²
22 = √(2x)²
2x = 22
x = 11
Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.
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Please help ! Picture Included.
3t - 12 ≤ - 9
pls see attachment
Answer:
D : t ≤ 1
Step-by-step explanation:
3t - 12 ≤ - 9
3t - 12 + 12 ≤ - 9 + 12
3t ≤ 3
3t/3 ≤ 3/3
t ≤ 1
For (≤ or <) Arrow points to the negative side
if the symbol is (≥ or ≤) then you fill in the dot
if the symbol is (> or <) then you do not fill in the dot
f(x) = 2x² + 4x - 5
g(x) = 6x3 – 2x2 + 3
Find (f – g)(x).
A. (f – g)(x) = –6x3 + 4x2 + 4x – 2
B. (f - g)(x) = 6x + 4x – 2
C. (f - g)(x) b= 6x? – 4x² - 4x + 8
D. (f - g)(x) = –6x2 + 4x2 + 4x – 8
The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8
Given the following functions
f(x) = 2x² + 4x - 5
g(x) = 6x³ – 2x² + 3
In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:
(f – g)(x) = f(x) - g(x)
Substitute the given parameters into the expression
(f – g)(x) = 2x² + 4x - 5 - (6x³ – 2x² + 3)
Expand
(f – g)(x) = 2x² + 4x - 5 - 6x³ + 2x² - 3
Collect the like terms
(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3
(f – g)(x) = - 6x³+ 4x² + 4x -5 -3
(f – g)(x) = - 6x³+ 4x² + 4x - 8
Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8
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Solve using the order of operations (4 x 15) - 3
Answer:
57
Step-by-step explanation:
Answer: 57
Step-by-step explanation:
1. Calculate what's in the parentheses first
(4 * 15) = 60
(60) - 3 = ?
2. Exponents (Powers, Roots) before you Multiply, Divide, Add or Subtract
Not applicable for this problem.
3. Multiply or Divide before you Add or Subtract
Not applicable for this problem.
4. For anything else left, just go from left to right
60 - 3 = 57
If you want to remember the shortcut; PEMDAS
P - Parentheses first
E - Exponents (Powers and Square Roots, etc.)
MD - Multiplication and Division (left-to-right)
AS - Addition and Subtraction (left-to-right)
Remember that:
Divide and Multiply rank equally (and go left to right).
Add and Subtract rank equally (and go left to right)
Solve. 3(x +4) = 36
will give brainliest !!!
Answer:
B. E' ( -1, 1)
Step-by-step explanation:
5 to the left =
4 - 5
2 up =
-1 + 2
good luck, i hope this helps :)
4 cm
4 cm
Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth.
Answer:
For cylinder TSA this is simple equation TSA - TBA = LSA
total surface area subtract the total base area and we get the lateral.
To find base it is 2pi r^2
so 2pi x r x h - 2 pi x r^2 = lateral surface area
Step-by-step explanation:
2y = x - 12, solve for X
step by steppleaseee
Systems of Equations
x+2y=6
5x+3y=2
Answer:
Step-by-step explanation:
-5x - 10y = -30
5x + 3y = 2
-7y = -28
y = 4
x + 8 = 6
x = -2
(-2, 4)
Find the area of each figure in square units
If the area of a rectangle is 4.5 square cm and one side is 1.5 cm long. How long is the other side
Answer:
Step-by-step explanation:
1.5x = 4.5
x = 3 cm
I hope the answer in the above picture will helps you.
Help me people u r my only hope!
Choose all of the values that are equivalent to -(1/3)
A. -1/3.
B. 1/-3
C. -1/-3
D. 1/3
E. -(-1/3)
Answer:
D)1/3 ?
Step-by-step explanation:
Maybe 1/3
Do some research, I guess it's D).
I hope that helps (:
1. The entire fraction is negative if the numerator or denominator are negative.
if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)
2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE
3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -
Pamela's age is two times Jiri's age. The sum of their ages is 42. What is Jiri's age?
Answer: jiri is 14
Step-by-step explanation:
14x2 = 28
28+14=42
SOMEONE PLEASE HELP WILL MARK BRAINLIEST PLEASE EXPLAIN
Answer:
a. (x+5)^2 = 49
b. (x+7)^2 = (x+1)^2
Step-by-step explanation:
So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)
Answer:
a: x + 5^2 = 49
b: 7>x^2=(put three lines not two) (1>x)^2
Step-by-step explanation:
i will give you a brainliest if our answer are correct
Answer:
Naomi and Pierre
Step-by-step explanation:
Answer:
I don't no
Step-by-step explanation:
sorry friend
solve the system of equations by using substitution
y=2x-2
2x+y=10
write a decimal number
4tenths 3 hundredths 7 thousands
Answer:
4.37
Step-by-step explanation:
180% is equivalent to what decimal value
Answer:
The solution is 1,8
Step-by-step explanation:
[tex] \sf 180 \% \\ = \sf \frac{180}{100} \\ = \sf 1.8[/tex]
Determine the verticle asymptote and horizontal asymptote of x^2-25/2x^+13x+15?
Answer:
what are you doing here honey and what is this gonna be about me in a hurry for the first two
A box contains four equal-sized cards labeled 1, 3, 5, and 7. Tim will select one card from the box. What is the Probability that Tim will select a card labeled with a number less than 6? Give the probability in any one of the three ways.
Answer:
3/4
Step-by-step explanation:
There are 4 total outcomes - 1,3,5 and 7.
The outcomes which are less than 6 are 1, 3 and 5. So 3/4 will be < 6.
what is equifenlnt to 35000 cm in kelomiters
Answer:
.35 kilometers
Step-by-step explanation:
Answer:
.35 kilometers
Step-by-step explanation:
1/4 + 2/3= then times that by two
Answer
1 7/12
Step-by-step explanation:
Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question response area Select one option $530 $1560 $2000 $2060 $2530
Answer:
$2000
Step-by-step explanation:
Given data
We are given that the price of the super PC is $2000
Since they are buying only one of the super PC they will have to pay
$2000
Hence option C is the correct answer
40 - 2x [(8 x 3 + 6) +
12 -2 pls answer correctly
Answer:
40 is the answer . is it right or Not?
Answer:
-10
Step-by-step explanation:
40 - 2x [(8 x 3 + 6) + 12 -2
Using BODMAS meaning Bracket Of Division Multiplication Addition and Subtract
Solve Bracket first multiplying first inside the bracket then add your result
40 - 2x [(8 x 3 + 6) + 12 -2
40 - 2x [(24 + 6) + 12 -2
40 - 2x(30) + 12 -2
Multiple
40 - 60+12-2
-10
what is the difference of (5+3i) and (2+9i)?
Binomial Theorem
The constant term in the expansions of
[tex](px^{3} + \frac{q}{x ^{3} } )^{8} [/tex]
and
[tex](p {x}^{2} + \frac{q}{ {x}^{2} } ) ^{4} [/tex]
are equal, and p and q are both greater than zero. Express p in terms of q.
Answer:
[tex]\frac{p^{4} x^{24}+6p^{2}q^{2}x^{12}+q^{4}+4p^{3}qx^{18}+4pq^{3}x^{6}}{x^{12} }[/tex]
Step-by-step explanation:
(please help!! )
The diagonals of parallelogram ABCD intersect at P. Select all the statements that must be true.
A. AP¯¯¯¯¯¯ ≅ CP¯¯¯¯¯¯
B. BC¯¯¯¯¯¯ ≅ AD¯¯¯¯¯¯
C. m∠ABC=90
D. ∠CAD ≅ ∠ACB
E. ∠BPC ≅ ∠APD
Answer:
It's A, B, D, E I'm pretty sure
Step-by-step explanation:
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
What are the Properties of a Parallelogram?Diagonals of a parallelogram bisect each other into congruent segments.Opposite angles and sides of a parallelogram are always congruent.Alternate interior angles are always congruent in measure.Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)BC ≅ AD (congruent opposite sides)∠CAD ≅ ∠ACB (congruent angles)∠BPC ≅ ∠APD (congruent angles)Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
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HELPPPPP ME PLEASEEEE
Answer:
4x-8 = 4x+12
Step-by-step explanation:
you multiply everything in the parentheses by what is outside of it
4(x-2) = 2(2x+6)
4(x)=4x & 4(-2)=-8 2(2x)=4x & 2(6)=12 then write the numbers as an equation:
4x-8 = 4x+12
HELP ME PLSSS IM GIVING BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
i really need helppppp!
Answer:
1) 34.5°
2) 0.25(180-B)=D
Step-by-step explanation:
180-42=138
1/2x138=69
1/2x69=34.5
0.25(180-B)=D