Answer:
see explanation
Step-by-step explanation:
The vertex form of f(x) is
f(x) = (x - h)² + k
where (h, k) are the coordinates of the vertex
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 14x
f(x) = x² + 2(7)x + 49 - 49 + 36
= (x + 7)² - 13
The minimum value of f(x) is the y- coordinate of the vertex
vertex = (- 7, - 13), that is minimum value = - 13
Answer:
not sure but i think its b
Step-by-step explanation:
Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.
<h3>What is the
area of the right-angle triangle?</h3>
The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.
α₁ = 40°
AO = OC = 7.8 cm
Then the area of the triangle will be
Area = 1/2 x 7.8 x 7.8 x tan40°
Area = 22.53 square cm
More about the area of the right-angle triangle link is given below.
brainly.com/question/16653962
#SPJ1
Answer: 9/2 servings
Step-by-step explanation: what I did was broke 3 and 3/4 down into a smaller fraction which =9/4 then divided it by 1/2= 9/2
denominator is half
Answer:
Step-by-step explanation:
Given that twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006).
considering the total number of vehicles, probability for a randomly drawn vehicle not covered by insurance = 0.23
Each vehicle can be treated as independent of the other
Hence X no of vehicles not covered by insurance is Binom with n = 35 and p - 0.23
a) the expected number of these automobiles that are not covered by insurance=E(x) =

b) the variance
=
Std dev = square root of variance = 2.4897