Answer- x<8
Solutions
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
4*x+6-(38)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 32 = 4 • (x - 8)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 4
Solve Basic Inequality :
2.2 Add 8 to both sides
x < 8
ANSWER
True
EXPLANATION
The given trigonometric equation is:

We take the LHS and simplify to arrive at the RHS.

Collect LCM on the right hand side to get;

This implies that



This identity has been verified .Therefore the correct answer is true.
Answer:
64/3 tablespoons of sugar for 32 ounces of water
Step-by-step explanation:
In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another. so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.
Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.
Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.
Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.
It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.
2/3 tablespoon of sugar for 1 ounce of water
Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water
Start by doing the binomial expansion of (x+y)^6 where x represents success. This is
(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)
We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is
20/64 = .3125 which is 31.25%
Answer:
Step-by-step explanation:
3(x+7)=-36
x+7=-12
x=-19