Either a student passes an exam or fails it. that means the percentage of students who pass plus the percentage of students who fail must add to 100%. this also means that if 22% pass, then 78% fail. there are 68 students total and 78% fail so the number of students failing is:
(78/100)(68) = 53.04 which is approximately 53 students.
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Answer:
x= 45 degrees
Step-by-step explanation:
the top angle is a eight angle which is equal to 90 all triangles are 180 degrees both bottom angles are equal and 180 minus the 90 degree from the right angle is 90 degrees you divide that by 2 and you have your answer
<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
The algebraic expression for the quotient of j and 8 is j/8. Fractions are quotients.
