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3 years ago

Consider the function f(t) = 3t-9 . You cannot take the square root of a negative number, so 3t – 9 must be____ zero.

2 answers:

8 0

I think you mean
$f(t)=\sqrt{3t-9}$

so therefor since we can't take squaer root of negative

3t-9 must not be negative
basicaly, 3t-9 must be greater than or equal to 0

Pepsi [2]3 years ago

4 0

Greater than or equal to

I hope this helps, and God bless <3

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What is the difference between economies of scale and returns to scale? A. Economies of scale define how cost changes with out

svlad2 [7]

Answer:

The answer is (A) Economies of scale define how cost changes with output, and returns to scale define how output changes with input usage

Step-by-step explanation:

Economies of scale show the effect of an increased output level on unit costs, Economies of Scale refer to the cost advantage experienced by a firm when it increases its level of output. The advantage arises due to the inverse relationship between per-unit fixed cost and the quantity produced. The greater the quantity of output produced, the lower the per-unit fixed cost.

Returns to scale focuses only on the relationship between input and output quantities. Returns to scale is the variation, or change, in productivity that is the outcome from a proportionate increase of all the input.

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4 years ago

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Arianna takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut sh

Serjik [45]

Answer:

Step-by-step explanation:

The length of the paper , x, can be obtained using Pythagoras :

Width = 12 ; length = 15

x² = 15² - 12²

x² = 225 - 144

x² = 81

x = sqrt(81)

x = 9

Hence, length of the paper = 9 inches

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3 years ago

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

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3 years ago

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Suppose A and B are mutually exclusive events, and that P(B)=0.03 and P(A OR B)=0.52. Find P(A)

Angelina_Jolie [31]

Answer:

P(A) = 0.49

Step-by-step explanation:

Given:

A and B are mutually exclusive events.

P(B) = 0.03

P(A or B) = 0.52

If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.

Now, as per probability addition theorem:

P(A or B) = P(A) + P(B) + P(A and B)

For mutually exclusive events, P(A and B) = 0. So,

P(A or B) = P(A) + P(B) + 0

P(A or B) = P(A) + P(B)

Plug in the given values and solve for P(A). This gives,

0.52 = P(A) + 0.03

P(A) = 0.52 - 0.03

P(A) = 0.49

Therefore, the probability of occurrence of event A is P(A) = 0.49.

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3 years ago

Let x= -1, y= -2 and z = 3 evaluate the following expression x/5y - 2z

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Just substitute the values: -1/-10-6 -> -1/-16 -> 1/16.

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