A magazine as states that 4 out of 7 dentists prefer flash toothpaste.If 1400 dentists were surveyed, how many dentists recommen
1 answer:
800 dentists recommended Flash toothpaste
<em><u>Solution:</u></em>
Given that, magazine as states that 4 out of 7 dentists prefer flash toothpaste
1400 dentists were surveyed
To find: Number of dentists recommended falsh toothpaste
Let "x" be the number of dentists recommended falsh toothpaste
Then, we can say,
4 out of 7 equals x out of 1400
Thus 800 dentists recommended Flash toothpaste
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Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.
Step-by-step explanation: We can use cosine to find the hypotenuse.
Using a calculator x is about 13.05
Using tangent we can find the length opposite of <C
Using a calculator x would be about 8.4
Answer:
A) The vertex ( h , k) = ( -2 , -18)
B) The minimum value of the given function = - 18
C) The Axis of the symmetry for f(t) is y -axis
Step-by-step explanation:
A)
Given a parabola f(t) = t² + 4 t − 14
f(t) = t² + 2(2) t + (2)²-4− 14
f(t) = (t +2)² - 18
Let comparing y = (x +2)² -18
(x +2)² = y + 18
(x-h))² = 4 a ( y - k))²
<em>The vertex ( h , k) = ( -2 , -18)</em>
B)
Given a parabola f(t) = t² + 4 t − 14
Differentiating with respective to 't'
f¹(t) = 2 t + 4
f¹(t) = 2 t + 4 = 0
now
Again Differentiating with respective to 't'
f(x) has a minimum value at t = -2
Given f(t) = t² + 4 t − 14
f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18
The minimum value of the given function = - 18
C)
f(t) = (t +2)² - 18
Let comparing y = (x +2)² -18
(x +2)² = y + 18
(x-h))² = 4 a ( y - k))²
The vertex ( h , k) = ( -2 , -18)
The Axis of the symmetry for f(t) is y -axis