Answers
Answer:
[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]
———————————————[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]
Here..Step 3 contains the algebraic identity( a + b ) × ( a - b ) = a² - b²
Also.. in the very last step ,we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..
we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.
hope helpful~
~Be Brainly!~Exhausted Zombie
Related Questions
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answers
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
Evaluate the expression for x = 2 and y = 4.
Answers
Answer:
Not enough info
Step-by-step explanation:
Not enough info sry
what color is my shirt?? PLEASE HELP I FORGOT
Answers
Answer:
um
Step-by-step explanation:
Answer:
Its white! atleast i think its white because your pfp has white clothes on
A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Answers
Step-by-step explanation:
the volume of a prism is
length × width × height
so, for the small prism we have
5 × 4 × height = 100 in³
height = 100/20 = 5 in
for the large prism we have
5 × 4 × height = 200 in³
height = 200/20 = 10 in
the larger prism is 10/5=2 times taller than the small prism.
The cost of a bottle of water is (w – 1) cents.
The cost of a bottle of milk is (2w – 11) cents.
A certain number of bottles of water costs $4.80.
The same number of bottles of milk costs $7.80 .
Find the value of w
Answers
Answer:
w= 25
Step-by-step explanation:
Cost of water= (w -1)¢
Cost of milk= (2w -11)¢
Let the certain number be x.
x(w -1)¢= 480¢ -----(1)
x(2w -11)¢= 780¢ -----(2)
From (1):
wx -x= 480 -----(3)
From (2):
2wx -11x= 780 -----(4)
(3) ×2:
2wx -2x= 960 -----(5)
(5) -(4):
(2wx -2x) -(2wx -11x)= 960 -780
Expand:
2wx -2x -2wx +11x= 180
9x= 180
Divide both sides by 9:
x= 180 ÷9
x= 20
Substitute x= 20 into (3):
w(20) -20= 480
20w -20= 480
20w= 480 +20
20w= 500
w= 500 ÷20
w= 25
What would be the inverse function of g(x)=1/x-1 ? Thanks in advance.
Answers
Exchanging x and y and isolating y, it is found that the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
The function given is:
[tex]g(x) = y = \frac{1}{x - 1}[/tex]
To find the inverse function, we exchange x and y and isolate y, hence:
[tex]x = \frac{1}{y - 1}[/tex]
[tex]x(y - 1) = 1[/tex]
[tex]xy - x = 1[/tex]
[tex]xy = 1 + x[/tex]
[tex]y = \frac{1 + x}{x}[/tex]
Hence, the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
You can learn more about inverse functions at https://brainly.com/question/16485117
Question 1
Part a) 9 Athletes are running the 200M event. How many ways can the first three finishers be awarded medals? Show your work using the Permutation or Combination formula for full credit.
Part b) You have 10 photos to arrange in an art gallery, where there are 5 spaces to place them. How many ways can they be arranged? Show your work using the Permutation or Combination formula for full credit.
Part c) Write an original word problem of your own creation that uses a combination and the numbers 8 and 4. Also state the solution. You may not use a pizza-themed scenario.
Answers
Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
For more on permutation/combination, you can take a look at https://brainly.com/question/25247153
a computer artist created a rectangular image measuring 55 125 scale factor of 2.5 what are the dimensions of the dilated image? quick!!
Answers
Answer:
sex
Step-by-step explanation:
69
.can you help please
Answers
Answer:
38.81cm³
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Diameter is 4.2
radius= 4.2/2 = 2.1 or 21/10
4/3 × 22/7 × 21/10 × 21/10 × 21/10
= 4851/125
= 38.808
≈38.81cm³
Help me plzzzz
Graph y = -3x + 7.
Answers
Answer:
This is the graph. Hope the pic loads.
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answers
Answer: point E
Step-by-step explanation:
Fred has 32 ounces of cookie dough. If he used 0.56 ounces of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?
Answers
Answer:
57 cookies
Step-by-step explanation:
32/0.56= 57.14
0.081 to simplest form
Answers
81/1000
hope this helps!
Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 5 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?
A.
-10 cents
B.
25 cents
C.
-25 cents
D.
10 cents
Answers
Answer:
B
Step-by-step explanation:
5x5 = 25
She used 5 bags and saved 5 cents on each one.
1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.
Hope that helps
Solve the system of linear equations y= 2x -3Y= x + 6
Answers
Answer:
x=9, y=15. (9, 15).
Step-by-step explanation:
y=2x-3
y=x+6
----------
2x-3=x+6
2x-x-3=6
x-3=6
x=6+3
x=9
y=9+6=15
7m 28cm ÷8= something cm
Answers
Answer:
4cm
Step-by-step explanation:
it this the answer you were looking for?
Answer:
91cm
Step-by-step explanation:
7m to cm =700m
28cm+700cm=728cm
728cm/8=91cm
Which function has a more negative slope?
Answers
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
__
The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.
What is a good estimate for 380% of 20
Answers
Answer:
380 divided by 20 is your answer
Step-by-step explanation:
Answer:
The answer is 76. The estimation would be 80.
Step-by-step explanation:
Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?
Answers
Answer: Minimum for $150: 2 Hours
Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!
1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)
Answers
Answer:
1. 6 x 16 = 96
2. 10 + 4 x 22 = 10 + 88 = 98
3. 7 x 23 = 161
Step-by-step explanation:
Will give thank,brainly and 5 stars!
Answers
The second and last one.
The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.
The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.
Answer:
The second and last one
Step-by-step explanation:
Hope this helps and have a good day!
Skyler is helping his mother plan a wedding breakfast for his older sister, Jessica. They
are expecting 63 family members to attend, and they are using round tables that seal 8
guests each. How many tables will be needed to seat 63 people?
What do I do with the remainder?
Answers
Answer:
You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.
A train is moving at 65.0 m/s. After 16.0 seconds, it is moving at 85.0 m/s. What is the acceleration?
Answers
Happy Holidays!
We can use the following equation to calculate uniform acceleration:
[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]
Plug in the given values to solve:
[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]
Answer:
Hope it will help you...
To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π.
Answers
Answer:
The radius would be 11ft.
Step-by-step explanation:
So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.
Hope that helps. x ps. Love the fact the picture is upside down :)
Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?
ANSWER SOON
Answers
Divide the amount of savings by the percentage off:
12/0.30 = 40
The regular price was $40
Find the value of x and the perimeter of the following shapes:
Answers
Answer:
x=2, perimeter=14
Step-by-step explanation:
Finding x
(x+1)(x+2)
x^2+2x+x+2=12
x^2+3x-10
x^2-2x+5x-10
x(x-2)5(x-2)
(x+5)(x-2)
x=-5
x=2
Length or Width should be a positve number.
x=2
Perimeter:
3+3+4+4=14
What is 100 x (81 + 283) - 67 x 4
Answers
Answer: 36132
Step-by-step explanation:
81+283=364
100*364=36400
67*4=268
36400-268=36132
Answer:
Step-by-step explanation:
100*(81+283)-67*5
=36400-268
=36132
Which description best describes the three-dimensional object
that is formed when the shape is rotated about the axis as
shown?
Answers
Answer:
cylinder
Step-by-step explanation:
a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.
Answer: A Hollow Cylinder
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answers
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
which of the following equations could be parallel to the equation x = 5
A. y = 5x
B. x = -2
C. y = 5
D. y = x
Answers
Answer:
B
Step-by-step explanation:
x = 5 is the equation of a vertical line parallel to the y- axis
The equation of a line parallel to it must have the same form, that is
x = - 2 ← vertical line parallel to x = 5