Answer:
2562 - 960√5/11
Step-by-step explanation:
We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x
⇒ x = 4 - √5
⇒ 1/x = 1/4-√5
⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )
⇒ 1/x = 4 + √5 / 4² - (√5)²
[ using (a+b)(a-b) = a² - b²]⇒ 1/x = 4+√5 / 16 - 5
⇒ 1/x = 4+√5/11
Add x² and 1/x² now ,⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²
⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121
⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121
⇒ x² + 1/x² = 2562 - 960√5/11
The cost of a taxi ride is given by the function C(x)=0.75x +2,
where x=distance in miles and C(x)=total cost in dollars.
What are the domain and range of C(x) in this situation?
Answer:
(
)
=
0
.
7
5
+
2
Step-by-step explanation:
If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36
18
9
64
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = [tex]\frac{-36z}{x}[/tex] ← equation of variation
When x = 5 and z = - 5, then
y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36
what is 10 x 567 divded by 2 x 45
Answer:
63
Step-by-step explanation:
Answer: 63
Step-by-step explanation: First, you would do 10 x 567.
10 x 500 = 5000
10 x 60 = 600
10 x 7 = 70
5000 + 600 + 70 = 5670
Next, you find out 2 x 45.
2 x 45 is equivalent to 45 + 45.
45 + 45 = 90
Finally, you divide the product by the product - 5670 divided by 90.
The answer to that is 63.
What is the vertex of f(x) = |x + 8| – 3?
(-8,-3)
(-8,3)
(8,-3)
(8,3)
The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given is an absolute value function,
f(x) = |x + 8| – 3
For a function of the form,
f(X) = a |x - h| + k, the vertex of the function is the point (h, k).
Comparing the equation with the given one,
f(x) = |x + 8| – 3
f(x) = |x - (-8)| + (-3)
So we get, h = -8 and k = -3.
So vertex is (-8, -3).
Hence the vertex is (-8, -3).
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What is the volume of the cylinder? Hint: the radius is 2ft in this problem
Answer: 37.68 ft^3
Step-by-step explanation:
Pi = 3.14
Height = 3
Radius = 4/2
3.14 * 3 * (4/2)^2
=37.68
If you want it in Pi, it's just 12[tex]\pi[/tex]
A fish is swimming at a constant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?
A. From a starting point of 7 meters below sea level, the fish is descending 3 meters per second.
B. From a starting point of 7 meters below sea level, the fish ascending 3 meters per second.
C. From a starting point of 3 meters below sea level, the fish is descending 7 meters per second.
D. From a starting point of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
i think the answer is either c or d, but since the 7 is negative, i'd try c first.
Step-by-step explanation:
tell me if this is wrong.
Find the mean absolute deviation
Answer: in statistics deviation is the difference between the value of one number in a series of numbers and the average value of all numbers in the series ( i hope this helped)
Step-by-step explanation:
A FAMILY HAS 2 THAT EACH HAVE 1\4 POUNDS OF RICE IN THEM. THEY WILL COMBINE THE 2 BAGS AND EQUALLY SHARE ALL OF THE RICE AMONG 3 PEOPLE . HOW MUCH OF THE RICE WILL EACH PERSON RECEIVE
Answer:
hbjh
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
have a great day ;b
m∠cda=11, what is m∠cba
Answer:
picture po mero po ba kayong pic nyan
Find the missing side.
Need help please.
Need to know how to get the answer.
Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. Select all options that apply to Desert Shores. *
elevation of –200 feet
elevation of 200 feet
below sea level
at sea level
above sea level
Answer:
elevation of –200 feet
below sea level
Step-by-step explanation
600-800=-200
i posted 2 others already plz help answer i really need this
Answer:No
Step-by-step explanation:
Find the y-intercept of the line which passes through (-2,-2) and (2,-4).
Which polygon is a pentagon?
Answer:
the third one
Step-by-step explanation:
Answer:
the polygon is the third one so C
Step-by-step explanation:
Edge 2022
Describe fully the single
transformation that takes
shape A to shape B.
Answer:
enlarge by scale factor -1/2, centre 6,5
No links please I need help ASAP
The drama club sells tickets to their spring play. They sell 180 tickets for a
total of $2,248. Adult tickets cost $14 each. Student tickets cost $10 each.
How many adult tickets and how many student tickets do they sell?
Show your work.
The number of adult and student tickets are 112 and 68 respectively
How to determine the number of adult and student tickets?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Set up equations to represent the problem.
Let the A and S represent the numbers of adult and student ticket respectively. So we can write:
A + S = 180 --- (1)
14A + 10S = 2248 --- (2)
From (1):
A = 180 - S ----(3)
Put (3) in (2):
14A + 10S = 2248
14(180 - S) + 10S = 2248
2520 - 14S + 10S = 2248
2520 - 4S = 2248
4S = 2520 - 2248
4S = 272
S = 272/4
S = 68
Put S = 68 in (3):
A = 180 - S
A = 180 - 68
A = 112
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Evaluate the expression if k = 5: 2(k + 9)
A. 14
B. 26
C. 16
D. 28
Answer:
The answer would be D , 28 .
Step-by-step explanation:
Hope this helps ^^
Melanie had two $10 bills, one $5 bill, four dimes, and six pennies. Then she bought a fruit cup for $2.19. How much money did Melanie have after she bought the fruit cup
Which diagram best represents the relationship among integers, rational numbers, and whole numbers?
A Ferris wheel has a diameter of 90 feet. If a rider starts at the bottom of the wheel, how many feet does the rider travel after one full turn of the wheel? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value.
Answer:
I dont get the question :(
the ratio of magazines to books in the library at Grady’s school is 2 to 9. which of these is an equivalent ratio?
A. 4 to 9
B. 10 to 45
C. 2 to 18
D. 1 to 18
Answer: B
Step-by-step explanation:
2/9 = 2(5)/9(5) = 10/45
You can multiply the numerator and the denominator by the same and the fraction will always be equivalent.
2 to 9 is equivalent to 10 to 45
HaAAAaAAaaaaAaaAaAaLp
Answer:
D trust me look
Step-by-step explanation:
Hope This Helped
Answer:
The answer is D
Step-by-step explanation:
8x6 is 48
-3x6=18-
-4x6=24-
-7x6=42-
Simplify the expression to a + bi form:
(-8 – 9i)2
Answer:
-17+144i
Step-by-step explanation:
Write a function to model set of data
What is the name of the segment AB!?
Answer:
Radius
Step-by-step explanation:
The name of the segment AB is radius
A segment joining the center of the circle to a point on the circle is called radiusHere, A is the center of the circle and B is any point on the circle. So, segment AB is the radius of the [tex] \odot A[/tex]
Which graph des NOT pass the vertical line test?
For what values of theta, °
Answer:
Step-by-step explanation:
Write down the inequality for x that is shown on this line
Answer:
x > 3
Step-by-step explanation:
Open circle and going to the right inequality: >
Since it starts at 3, the inequality is:
x > 3
The required inequality will be 3<x<7.
What is an inequality?It is a type of equation having less than and greater than signs.
How to form an inequality?If we see the line it is started from 3 and ends on 7 and circle on 3 is not filled it means it does not contains 3 So the required inequality is
3<x<7
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What is the approximate value of tan C?
B
13.93
A
3
A. 0.38
B. 0.36
C. 0.93
D. 2.6
Answer:
0.38
Step-by-step explanation:
King sporting good have tow bikes on sale. One costs $89.98 and another costs $99.99 . What is the difference in the price of these two bikes?
Answer:$ 10.01 would be the difference
Step-by-step explanation:
99.99
- 89.98
-------------
10.01