Does the line y + 4x = 7 pass through the point (1, 3)?
1 answer:
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Answer:
121
Step-by-step explanation:
Given
f(x) = - (x + 8)(x - 14) ← expand factors using FOIL
= - (x² - 6x - 112) ← distribute by - 1
= - x² + 6x + 112
Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = - x² + 6x + 112 ← is in standard form
with a = - 1 and b = 6, thus
= -
= 3
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
vertex = (3, 121 ) ← with y = 121
Given expression is
Now convert mixed fraction as improper fraction as
Now we can convert
So the answer is
Now convert mixed fraction as improper fraction as
Now we can convert
So the answer is
Answer:
312 employees participated in the training
Step-by-step explanation:
Given;
employee to instructor ratio is 24 to 2
there are 26 instructors for the training
let the total number of instructors be I = 26
let the total number of employees be e = ?
employee to instructor ratio is 24 to 2, e : I = 24 : 2
e : I = 24 : 2 = e : 26
Therefore, the total number of employees who participated in the training is 312