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2 years ago

2

Mathematics

1 answer:

Tju [1.3M]2 years ago

8 0

Answer:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

Step-by-step explanation:

System of Inequalities

In order to model the situation stated in the problem, we'll call the following variables:

x = number of hours Sarah spends in the office

y = number of hours Sarah spends babysitting

She works for a maximum of 40 hours per week. This condition leads us to the inequality:

x + y ≤ 40

Her office job pays $12 per hour and her babysitting job pays $10 per hour.

She needs to make at least $400 per week in order to cover her expenses, thus:

10x + 12 y ≥ 400

Two obvious conditions could be added to the set of inequalities:

x ≥ 0

y ≥ 0

The system of inequalities is:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

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Free points: this is because of all the kindness I have seen on brainly:

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2 years ago

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What is 7/25 in decimal form

timama [110]

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3 years ago

Make 'y' the subject of the equation. g = 3y - 9.

Vikentia [17]

Answer:

$y = \frac{g+9}{3}$

Step-by-step explanation:

g = 3y -9

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g + 9 = 3y

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6 0

2 years ago

Element X is a radioactive isotope such that its mass decreases by 59% every day. If an experiment starts out with 390 grams of

miss Akunina [59]

Answer:

The function that represents the mass of the sample after t days is $A(t) = 390(0.41)^t$ .

The percentage rate of change per hour is of -2.46%.

Step-by-step explanation:

Exponential amount of decay:

The exponential amount of decay for an amount of a substance after t days is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount, and r is the decay rate, as a decimal.

Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.

This means, respectively, that $r = 0.59, A(0) = 390$

$A(t) = A(0)(1-r)^t$

$A(t) = 390(1-0.59)^t$

$A(t) = 390(0.41)^t$

The function that represents the mass of the sample after t days is $A(t) = 390(0.41)^t$ .

Hourly rate of change:

Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So

-59%/24 = -2.46%

The percentage rate of change per hour is of -2.46%.

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2 years ago

Answer the question :)

inn [45]

Answer:

A. -11

Step-by-step explanation:

In the function, replace x with -2

R(x) = x^2 - 3x - 1 ➡ R(-2) = (-2)^2 - 3 × 2 -1 = -11

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3 years ago