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Orlov [11]
3 years ago
5

Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x )

= − 3 ( x + 5 ) 2 − 1
Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

Answer:

Step-by-step explanation:

y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)

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Please help me with these questions and show how u got them, i will mark you brainliest !
lianna [129]

Answer: 1) 25b   2) ac   3)ba

1) Since b is unknown, your answer will be 25b

2) Since both variables, a and c, are unknown, your answer will be ac

3) Since both are unknown here, it will be ba!

4 0
2 years ago
Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car
Nikolay [14]

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

5 0
3 years ago
Factorise fully 6ac + 10ac​
ikadub [295]

Step-by-step explanation:

6ac+10ac

2ac(6ac+10ac)

2ac(3+5)

4 0
3 years ago
Knowing that sin 30° = 1/2 , what is a?
umka2103 [35]

Answer: D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Men can do a work in 32 days in how many days will 24 men complete the same work​
Inessa [10]

Answer:

It will take 32/24, or 1 1/3 days, for 24 men to get the job done.

Step-by-step explanation:

4 0
2 years ago
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