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3 years ago

Find the intervals of DECREASING only and write in below in interval notation.

Mathematics

1 answer:

Grace [21]3 years ago

8 0

Answer:

(-1,0)

Step-by-step explanation:

It is decreasing when the "slope" of the function is negative. That only happens on the blue curve from x = -1 to x = 0. In interval notation, that's (-1,0)

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What is the result of subtracting the second equation from the first? 2x+7y=-8 2x-5y=-1

Lemur [1.5K]

Answer:

12y=-7

Step-by-step explanation:

6 0

3 years ago

2443+5433-3444+55555

KATRIN_1 [288]

Answer:

the anwser is 66,875

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Calendar

nikitadnepr [17]

Answer:

(a) C = 0.29t + 2.50

(b) 5

Step-by-step explanation:

The variables are defined as follows:

t = the number of toppings

C = total cost for ice cream

It is provided that:

An ice cream with no toppings is $2.50.
Every topping is priced at $0.29 each.

(a)

The algebraic equation to find the total cost for ice cream depending on the number of toppings is:

C = 0.29t + 2.50

(b)

Compute the number of toppings Mr. Torrance can buy if he wants to spend only $4.00 on it as follows:

C = 0.29t + 2.50

4.00 = 0.29t + 2.50

0.29t = 4.00 - 2.50

0.29t = 1.50

t = 5.1724

t ≈ 5

Thus, Mr. Torrance can buy 5 toppings.

5 0

3 years ago

What is the system of equations y=-3x+7 y=2x-8

frez [133]

Answer:(6,4)

Step-by-step explanation: y=4

y=2x-8

4=2x-8

X=6

Y=4

6 0

3 years ago

Read 2 more answers

The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth

Gala2k [10]

Answer:

(a) There are 70 different ways set up 4 computers out of 8.

(b) The probability that exactly three of the selected computers are desktops is 0.305.

Step-by-step explanation:

Of the 9 new computers 4 are laptops and 5 are desktop.

Let X = a laptop is selected and Y = a desktop is selected.

The probability of selecting a laptop is = $P(Laptop) = p_{X} = \frac{4}{9}$

The probability of selecting a desktop is = $P(Desktop) = p_{Y} = \frac{5}{9}$

Then both X and Y follows Binomial distribution.

$X\sim Bin(9, \frac{4}{9})\\ Y\sim Bin(9, \frac{5}{9})$

The probability function of a binomial distribution is:

$P(U=k)={n\choose k}\times(p)^{k}\times (1-p)^{n-k}$

(a)

Combination is used to determine the number of ways to select k objects from n distinct objects without replacement.

It is denotes as: ${n\choose k}=\frac{n!}{k!(n-k)!}$

In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.

The number of ways to set up 4 computers of 8 is:

${8\choose 4}=\frac{8!}{4!(8-4)!}\\=\frac{8!}{4!\times 4!} \\=70$

Thus, there are 70 different ways set up 4 computers out of 8.

(b)

It is provided that 4 computers are randomly selected.

Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:

$P(Y=3)={4\choose 3}\times(\frac{5}{9})^{3}\times (1-\frac{5}{9})^{4-3}\\=4\times\frac{125}{729}\times\frac{4}{9}\\ =0.304832\\\approx0.305$

Thus, the probability that exactly three of the selected computers are desktops is 0.305.

(c)

Compute the probability that of the 4 computers selected at least 3 are desktops as follows:

$P(Y\geq 3)=1-P(Y$

Thus, the probability that at least three of the selected computers are desktops is 0.401.

6 0

3 years ago