Calculus

4/x - 1 + 6/3x +1 = 15/3x + 1 4/x - 1 + 2/x +1 = 5/x + 1 4/x + 2/x - 5/x = 1 + 1 -1 1/x = 1 x = 1

100 feet in 10 seconds gives an average speed of 10 feet per second.

Some are, not others.

(9x + 7)(x - 2)

well if you're finding the derivative with respect to x, it would be -tx^(-t-1)

2X + 9X = 5

Since there are two items on the left side with an X in it (not X squared etc), You can combine them...

Add the X's first, so you get...

11x = 5

Now divide both sides by 11

x = 11/5

this can not be solved un less with another equation

x = 3

2.3a = 4.6 In order to leave the variable alone (without the coefficient), divide by 2.3 to both sides
a = 2

set it up as x+5y=10 and 7x-14y=49 on top of each other and then multiply x+5y=10 by -7. That gives you -7x-35y=-70. cross out the X's and add the Y's. -21y=21 divide and get -1=y then sub. for x and solve.

X=15 and X=5

3

x3-4=2 Add four to both sides.

x3=6 Take the cu=6 be root of both sides.

x is equal to the cube root of 6, or approximately 1.81712.

4x = 3(x+2)

x log(4) = (x+2) log(3)

log(4) = 0.60206
log(3) = 0.4771213

0.60206 x = 0.4771213 (x+2)

0.60206 x = 0.4771213 x + 0.9542425

0.1249387 x = 0.9542425

x = 0.9642425 / 0.1249387 = 7.7177248

===============================

Check:

4(7.7177248) = 44,313

3(9.7177248) = 43,304

I think the check is good, even though the numbers differ by about 2.3%. My gut feeling is that with the
inaccuracies introduced in the log and exponentiation process, this is probably as good as you'll get.

X=7 y=5

If: y = 5x^2 -2x+1 and y = 6-3x-x^2

Then: 5x^2 -2x+1 = 6-3x-x^2

Transposing terms: 6x^2 +x -5 = 0

Factorizing the above: (6x-5)(x+1) = 0 meaning x = 5/6 or x = -1

By substituting the values of x into original equations points of intersection are at (-1, 8) and (5/6, 101/36)

Would you please resubmit this question, including examples to indicate what you mean.

The range, usually of a function, is the set of value that the function can take. The integral range is a subset of the range consisting of integer values that the function can take.

20

No. There is no equality (or inequality) in the question: only a list of expressions.

By taking away, from the left side, anything that isn't "x". In this case, subtract 18 from both sides.

7

yes

111 - 63 = 48

A word such as a number or article or possessive adjective that determines or limits the meaning of a noun phrase. For example their in their black cat. Other articles are 'the, a and an' or any words that might substitute for them - yours their, some and each

It can't be factored because its discriminant is less than zero