Answer:
Answer and steps in picture.
The given equation is
0.75(x + 40) = 3(4x + 1) - 2
Expand the equation.
0.75x + 30 = 12x + 3 - 2
0.75 - 12x = 3 - 2 - 30
-11.25x = -29
x = -29/-11.25 = 2.5778
Answer: There is 1 solution, which is 2.5778.
Answer:
four time the number of X is 4x
In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
Answer:
see below
Step-by-step explanation:
The sine of an angle is the same as the sine of its supplement. You know π radians is 180°, so the supplement of an angle in radians is that angle subtracted from π.
sin(π(a/11)) = sin(π(11-a)/11)
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For example,
sin(π/11) = sin(π(11-1)/11) = sin(10π/11)