Answer:
7 to the power of 2 - 2 * 3 is equal to 43
Step-by-step explanation:
Answer:
5x + 4y - 4 = 0 is the given line equation.
Step-by-step explanation:
The slope m of the line is given as 
The point of the equation is (x0, y0) = (-4, 6)
Now, by POINT SLOPE formula of a line:
Equation of a line is : ( y -y0) = m (x - x0)
Hence, the equation is 
On further simplifying
,
⇒ 5x + 4y - 24 + 20 = 0
or, 5x + 4y - 4 = 0 is the given line equation.
3x-6=-3
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First one has one solution
Second has infinite solutions
Third has no solutions.
a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
