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Add sqrt{x + 17} to both sides.
We now have 2(sqrt{1 - 3x}) = sqrt{x + 17}.
We now square both sides to remove the radicals.
[2(sqrt{1 - 3x})]^2 = [sqrt{x + 17}]^2.
After doing the math on paper, I got x = -1 as the answer.
How do we know if this is right?
Replace every x that you see in the original radical equation given and simplify.
If you get the same answer on both sides of the equation, then you will know for sure.
I did excatly that and found out that x does = -1.

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The horizontal distance between the center of the pyramid and Rowena is the same distance from the base of the pyramid to the where she is standing.
The tanget function tells us that in a right triangle the fraction formed is
opposite divided by adjacent.
We use the tangent function to find our distance.
Let x = horizontal distance between the center of the pyramid and Rowena.
tan(20) = 146.5/x
x(tan(20)) = 146.5
x = 146.5/tan(20)
x is about 402.51 meters.

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Replace x with 1/8(sqrt{11}) and then simplify the complex fraction.
[1/8(sqrt{11})]^4 + 1/[1/8(sqrt{11})]^4 =
I'm sure you can do it now.

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What two numbers when multiplied together will yield -8 but when added will yield -7?
How about -8 and 1?
Then x^2 - 7x - 8 = 0 factors out to be (x + 1)(x - 8).
Now set each factor to equal zero and solve for x.
x + 1 = 0
x = -1.
x - 8 = 0
x = 8
The roots are x = -1 and x = 8.
Originally, I thought this was a calculus question after reading the word INTEGRAL in the sentence.

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The area of the original garden is A = 7 * 4 or 28m^2.
The length and width is increased by the same amount of meters.
Let x = meter amount we want
We are also told the area is doubled when we add this unknown number to the length and width.
So, 28 * 2 = 56.
56 = (x + 7)(x + 4)
56 = x^2 + 11x + 28
0 = x^2 + 11x + 28 - 56
0 = x^2 + 11x - 28
All you have to do is factor this quadratic equation using the quadratic formula. When you find x, add your value of x to the length (x + 7) and the width (x + 4).
Can you finish now?

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The greatest common factor of 16a + 4b is 4 because 4 evenly divides each term of your binomial.

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Replace x with -2 and simplify.
f(-2) = (-2)^3 -3(-2)^2 - (-2) - 9
Can you finish now?

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This is an isosceles triangle.
The line containing the bisector of the vertex angle of an isosceles triangle
is a symmetry line for the triangle.
In an isosceles triangle, the bisector of the vertex angle,
the perpendicular bisector of the base, and the median to the base determine the same line.
If a triangle has two congruent sides, then the angles opposite them are congruent.

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Just add the fractions just like adding regular fractions.
[(x + 3)/x^2] - 16 + [(2x - 1)/(x + 3)(x - 4)] =
HINT: The LCD = x^2 *(x + 3)(x - 4)
Now multiply each term by the LCD to remove the fractions.
NOTE: -16 is actually a fraction in the form -16/1.
Can you do it now?

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A permutation is the choice of r things from a set of n things without replacement and where the order matters.
nPr = n!/(n - r)!
5P2 = 5!/(5 - 2)!
5P2 = 120/(3!)
5P2 = 120/6
5P2 = 20

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We use A = Pe^(rt).
A = 4000e^(0.055 * 8)
Can you solve for A now?

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The domain will be ALL REAL NUMBERS except for zero.
A fraction cannot have zero in the denominator because division by zero does not exist.

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Let x = first integer
Let x + 2 = second integer
The area of a triangle can be found using A = (1/2)*b*h.
12 = (1/2)(x)(x + 2)
Can you finish now?

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(2m - 5)/(6m - 15) =
Factor denominator as step one.
The denominator becomes 3(2m - 5).
We now have the fraction:
(2m - 5)/3(2m - 5).
Cancel out the common quantity that appears on the top and bottom. In other words, cancel (2m - 5) on the top and bottom.
The final answer is 1/3.

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average speed = distance traveled divided by elapsed time.
A = d/t
A = 100/2
A = 50
Let T = total average speed for whole trip
T = (50) + (60)/1
Can you finish now?

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Let r = rows
Let m = men
r = m + 6
r + m = 55
Can you finish now?

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Let x = first integer
Let x + 1 = second integer
x(x + 1) = x + (x + 1) + 41
Can you find the integers now?

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I think you meant to type: 8^x = 3, where x is the exponent.
x = log(base 8)(3)

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The price is $150.
1/3 = 0.33 written as a decimal.
Let s = how much the customer will save if the jacket goes on sale.
s = 150 times 0.33
Can you solve for s now?

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-4(-6p + 7) =
Using the distributive rule we get:
24p - 28

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To answer your question, I can help you with math questions that you do not understand but only send one question per day except for the weekend. I work all weekend long.

nycfunction@yahoo.com

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How about using the quadratic formula?
It works every time.
In the quadratic formula, let a = 1, b = -15 and c = -12,600.
Then plug and chug.

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To find angle A, you can use either of the following:
sin(x) = 16/20
or
cos(x) = 12/20
In any case, I got angle A = 53.13 degrees.

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Let N(t) = 5,000 and solve for t.
5,000 = 310,000(1/2)^(t)

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The sum of the angles of a triangle is 180 degrees.
Let x = the two angles in this triangle which are congruent.
x + x + 120 = 180
2x + 120 = 180
2x = 180 - 120
2x = 60
x = 60/2
x = 30
Each of the other two angles measures 30 degrees.
Here is the proof:
Let x = 30
30 + 30 + 120 = 180
60 + 120 = 180
180 = 180...It checks!

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Let x = orchestra seats
Let y = balcony seats
We have a system of linear equations in two variables.
Here is the set up and you can then work out the math:
x + y = 650
20x + 12y = 11,600

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For the first question, replace x in your function with every value given for x and then simplify the expression. Can you do it now?
For question 2, is the exponent of 3 on the right side (2x) or simply 2?
Get back to me before I can help you here.

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Let s = side of square.
Area = side^2
242 = side^2
sqrt{242} = side
We now use the Pythagorean Theorem.
[sqrt{242}]^2 + [sqrt{242}]^2 = d^2
Let d = diagonal.
242 + 242 = d^2
484 = d^2
sqrt{484} = sqrt{d^2}
22 = d
Your diagonal is 22.

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Just use the distributive law.
In other words, multiply 5 by every term inside the parentheses.
5(2a - 1b + 3a) = 10a - 5b + 15a
We now combine like terms.
Final Answer: 25a - 5b
NOTE: There is no reason to place a 1 in front of any variable.
For example, the middle term in the parentheses given to your son 1b can also be written as b. Both terms mean the same thing.

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2sqrt{3} times (sqrt{3} + 1}.
Use the distributive rule.
2sqrt{3} times sqrt{3} = 2(3) = 6.
2sqrt{3} times 1 = 2sqrt{3}.
Final answer: 2sqrt{3} + 6.