Answer:
-4,-8 : 8,8
Step-by-step explanation:
[tex]The \: value \: of \: \sqrt{6 + \sqrt{6 + \sqrt{6} + .......... \: to \: \infin } } \: is \: \underline{ \: \: \: \: \: \: \: \: \: \: \: .}[/tex]
CORRECT EXPLANATION WILL BE MARK AS BRAINLIEST.
[tex]\large\underline{\sf{Solution-}}[/tex]
Let us assume that:
[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]
Squaring both sides, we get:
[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]
[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]
By splitting the middle term:
[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]
[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]
[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]
Therefore:
[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]
[tex] \sf \longmapsto x = - 2,3[/tex]
But x cannot be negative.
[tex] \sf \longmapsto x = 3[/tex]
Therefore, the value of the expression is 3.
[tex]\large\underline{\sf{Verification-}}[/tex]
Given:
[tex]\sf\longmapsto x=3[/tex]
We can also write it as:
[tex]\sf\longmapsto x = \sqrt{9}[/tex]
[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]
This pattern will continue.
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]
Please show all steps to 2- (-1)
Answer:
3
Step-by-step explanation:
2-(-1)=2+1=3
Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?
The answer is the first option
The cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19 and the equation system will calculate the cost of one cherry 11c + 4p = 208 and 13c + 12p = 384 .
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let the number of cherry pies be c,
And the number of pumpkin pies be p,
As per the given information, an equation system will calculate the cost of one cherry.
11c + 4p = 208 ...(i)
13c + 12p = 384 ...(ii)
Multiplying 12 by equation (i) and 4 by equation (ii), we get
132c + 48p = 2496 …(iii)
52c + 48p = 1536 …(iv)
Equation (iii) subtracts from (iv) and we get c = 12 then substitute the value of 'c’ into equation (i) and we get
11(12) + 4p = 208
4p = 208 - 132
4p = 76
p = 19
Thus, the cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19
Learn more about the Linear equations here:
https://brainly.com/question/13738061
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If you receive $68 for mowing lawns for 8 hours. What would be the equation to find out how much money you would receive in an hour?
Answer:
$68÷8= x money per hour
Step-by-step explanation:
Is it possible to list all the fractions between 2 and 3? Explain.
Answer: No
Step-by-step explanation:
There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.
The radius of a smaller circle is half the length of the radius of a larger circle. The area of the larger circle is 20 square inches. What is the approximate area of the smaller circle?
Answer:
4
Step-by-step explanation:
A student performed the following steps to find the solution to the equation
x2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. The student did not make any mistakes, the solution is correct
B. in Step 2
C. in Step 1
D. in Step 3
Answer:
step 1, c
Step-by-step explanation:
he was wrong in step 1.
when factoring out (x-4) and (x-2), you have to distribute x*x, x*-2, -4*x, and -4*-2
if you do it you get x^2 - 2x -4x + 8
the correct way to factor will be (x-4)(x+2)
when you factor out you will get the original equation you started with.
Solve for X then find the measure of
Answer:
x=11
m<a=80º
m<b=80º
Step-by-step explanation:
They are congruent so
8x-8=5x+25
8x=5x+33
3x=33
x=11
Answer:
Step-by-step explanation:
8x-8=5x+25
8x+5x=25--8
13x=33
x=2.5
x=3cm
The black line is the graph of y = x. Which of these
equations could represent the blue line?
Answer:
A
Step-by-step explanation:
Answer:
The answer is (y=1/2x )
Apply the distributive property:
-3(x+2) =
Answer:
-3x-6
Step-by-step explanation:
you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6
Hello skm413002!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Apply the distributive property:
-3(x+2) =
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
By applying the distributive property, we can solve it as....
[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]
Method :-Distributive property.Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.__________________
Hope it'll help you!
ℓu¢αzz ッ
Can someone help me with these two? Please
Answer:
8/9 and 2/3
Step-by-step explanation:
find common factor with each of the numbers and divide by that
16 and 18, 2 is the gcf.
16/2=8 18/2=9
the gcf in the second one is 5.
10/5=2 15/5=3
Hope this helps!
Problem:
−(−8y−6.6z−10)
Please help me if possible!
Help me please i need the equation of axis of symmetry
Answer:
x = -2
Step-by-step explanation:
It's a vertical line at x = -2
Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?
Answer:
4hrs 7 minutes and 30 seconds
Step-by-step explanation:
1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy 1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan 3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds
Select the correct answer.
Which statement is true about the graph of this equation?
y + 4 = 4(x + 1)
A.
The graph is a line that goes through the points (1,-4) and (0,0).
B.
The graph is a line that goes through the points (1,4) and (2,8).
C.
The graph is a line that goes through the points (-4,-1) and (-3,-3).
D.
The graph is a line that goes through the points (4,1) and (5,5).
Answer:
A
Step-by-step explanation:
The graph is a line that goes through the points (1,-4) and (0,0)
if i had 475 cannolis ans a box can only carry 15 how many boxes will i need.
Answer:
you would need 32 boxes
Step-by-step explanation:
475/15 = 31.666
32 boxes
475/15=31.7 but you can't get 0.7 boxes so you would need 32 to carry all of the cannolis.
will give BRAINLIEST!!!!!!
3 3/4 X 1 2/5 do a step by step explanation please and also you have to make it so you convert it into an improper fraction first... please answer!!!
Answer:
5 1/4
Step-by-step explanation:
To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.
Answer:
99/5
Step-by-step explanation:
CONVERT INTO:
33/4 x 12/5
MULTIPLY THE FRACTIONS:
(33x12)
--------------
5
CANCEL TERMS:
(33x3)
-----------
5
SIMPLIFY:
99/5
3. Which table has a constant of proportionality equal to 2.5?
x
х
y
X
0
0
2.5
os
2.5
NO
1
2
.
5
7.5
А
о
B
х
y
2
у
2.5
3.75
W NX
2
5
3
3
7.5
10
4
ch
5
4
D
Answer:
your answer is A
I can assure you that you will give brainlest
Answer:
A
Step-by-step explanation:
Plz help will give brainliest
Simplify square root of five times the quantity six minus four square root of three.
Group of answer choices
9
thirty square root of three
six square root of five minus four square root of fifteen
square root of thirty minus twenty square root of three
Answer:
C
Step-by-step explanation:
Answer:
6√5-4√15
Step-by-step explanation:
√5(6-4√3)
6√5-4√3*√5 division property
6√5-4√3*5 combining like terms
6√5-4√15
Which pair of numbers has a sum of 0?
1) 2 and 12
2) 2 and –12
3) 2 and –0.2
4) 2 and –2
What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answer:
pot0tsafgxxgcgcycguchchcui
PLEASE ANSWER ASAPEnter the equation of the line in slope-intercept form. Slope is − 2 3 , and (−6, −5) is on the line. The equation of the line is y =
Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
Use synthetic division to find the result when 4x^3+3x^2– 8x – 7 is divided by x+1.
The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.
2
3
7
21
19
8
S
12
6
5
7
2
Find the mean waiting time. Round your answer to one decimal place.
8.0 min
7.2 min
7.5 min
6.8 min
The answer is 6.8 minutes
HELP ASAP PLEASE
If the bowling fans get their way, and the group plays only 1 game of laser tag, will they have
enough money to bowl 5 games? Use your expression from question 3 to calculate the cost of 1
game of laser tag and 5 games of bowling. (3 points: 1 point for the answer, 1 point for showing
your work, and 1 point for answering the question
Solve for x 3/8(2x+16)−2=13
The "/" is for a fraction btw
Can you translate the measurements to (cups, teaspoons, tablespoons etc.)
Top flour 170g
Baking powder 5g
Sugar 10g
Butter 40g
Maple syrup 30ml
Milk 40ml
Answer:
Flour: 18.76 Tablespoons
56.28 Teaspoons
1.17 U.S. Cups
Baking Powder: 0.35 Tablespoons
1.04 Teaspoons
0.02 U.S. Cups
Sugar: 0.80 Tablespoons
2.40 Teaspoons
0.05 U.S. Cups
Butter: 2.82 Tablespoons
8.46 Teaspoons
0.18 U.S. Cups
Maple Syrup:
0.127 Cups
2.029 Tablespoons
6.087 Teaspoons
Milk:
0.169 Cups
2.705 Tablespoons
8.115 Teaspoons
Hope this helps!!
Have A Blessed Day <333
please help I will make you Brainliest if correct (show working)
Can someone help me and if you don’t have the answer don’t answer cause you’re just wasting my time
Answer: 1 is 534
Step-by-step explanation:
HELPOOPPP AND IF YOU DONT GET IT RIGHT I REPORT
Answer:
(-4,2)
Step-by-step explanation:
Answer:
(-4,2)
Step-by-step explanation:
hope this helps