A number a is fewer than -6 or no less than - 3
1 answer:
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Z score of 1 is .8413
Now, the percentage figures of say, 70%, 95% and so on, we'll use the decimal format of the, thus 70% is just 70/100 or 0.7 and 95% is just 95/100 or 0.95 and so on
so
whatever "x" and "y" amounts are, we know, they must add up to 160 pints
thus x + y = 160
now, whatever the concentrated amount of solute in the mixture, we know they must add up to 160*0.85 or 136
thus 0.7x + 0.95y = 136
thus
solve for "x", to see how much of the 70% pure juice will be needed
what about "y"? well, y = 160 - x
so
whatever "x" and "y" amounts are, we know, they must add up to 160 pints
thus x + y = 160
now, whatever the concentrated amount of solute in the mixture, we know they must add up to 160*0.85 or 136
thus 0.7x + 0.95y = 136
thus
solve for "x", to see how much of the 70% pure juice will be needed
what about "y"? well, y = 160 - x
Considering the definition of vertex, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.
<h3>Vertex form</h3>The function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The quadratic function can be expressed by the vertex form of a quadratic equation: y=a(x−h)²+k , where (h,k)= vertex of the parabola.
The formula to find the value x of the vertex of a quadratic equation is
To calculate the value of y of the vertex, it is necessary to find the numerical value of "x vertex" in the polynomial expression. This is:
(h,k)= (,
)
In this case:
- a= -3
- b= -12
- c= -2
Replacing in the formula to find the value x of the vertex of a quadratic equation, you get:
Solving:
<u><em>x= -2</em></u>
The value of y of the vertex can be calculated as:
y = –3×(-2)² – 12×(-2) – 2
Solving:
y= –3×4 – 12×(-2) – 2
y= –12 +24 – 2
<u><em>y=10</em></u>
Finally, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.
Learn more about vertex form of a cuadratic function:
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