Answer:
$44.10
Step-by-step explanation:
The sale price of the shoes is (1.00-0.40)($70), or $42.
The final price, including tax, is (1.00 + 0.05)($42), or $44.10.
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
Answer:
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in ratio 
, where 
is the side opposite to the 30 degree angle and 
is the hypotenuse, or longest side, of the triangle.
Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and 
in the ratio .
Thus, we have:
Answer:
6.25 seconds
At ground level the height of ball is 0, i.e., h=0.
Using zero product property, we get -16t -100
= -16t + 100 + 100s
= -16(t + 6.25) -16(ts + -6.25)
= 6.25s
Answer: -6b - 12 + 8
Step-by-step explanation: To simplify/find an equivalent expression to -6(b + 2) + 8, we just need to get rid of the parentheses. This can be done by multplying -6 by everything insde the parentheses.
-6 × b = -6b
-6 × 2 = -12
Now, we add our answers together. Don't forget to add the 8 to the end!
-6b + -12 + 8
-6b - 12 + 8
Hope this was helpful! Let me eknow if you have any further questions. :)
