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Alexus [3.1K]
3 years ago
8

Help me represent this easy equation: For every unit of X you must produce 3 of Y

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

Okay the, 3 of Y by every unit of X. Simple.

Step-by-step explanation:

You might be interested in
If a decimal number does not repeat, it ends with which number?
sasho [114]

Answer:

A repetend / reptend

Step-by-step explanation:

This is because most of the times this number is a 0. And a zero is normally a place holder so we don't add it. And if the repetend is zero the decimals is know as a terminating decimal.

HOPE IT HELPED

4 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
ddd [48]

Answer:

f'(x) = 4x^2 - 3 for x \le -3

Step-by-step explanation:

See attachment for proper question

Given

f(x) = -\frac{1}{2}\sqrt{x + 3}

For

x \ge -3

Required

Determine the inverse function

f(x) = -\frac{1}{2}\sqrt{x + 3}

Replace f(x) with y

y = -\frac{1}{2}\sqrt{x + 3}

Swap the positions of x and y

x = -\frac{1}{2}\sqrt{y + 3}

Multiply both sides by -2

-2 * x =-2 *  -\frac{1}{2}\sqrt{y + 3}

-2x =\sqrt{y + 3}

Square both sides

(-2x)^2 =(\sqrt{y + 3})^2

4x^2 =y + 3

Make y the subject

y = 4x^2 - 3

The inverse has been solved. So, we need to replace y with f'(x)

f'(x) = 4x^2 - 3

Next, is to determine the interval

x \ge -3

Change inequality to \le

x \le -3

Hence, the inverse function is:

f'(x) = 4x^2 - 3 for x \le -3

7 0
3 years ago
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
kap26 [50]

Answer:

4800+183x\geq 8000

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let x be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

\frac{3*6,100}{100} =183

Now we know that she makes $183 per policy sold. Since x is the number of policies sold, 183x is her total commission for selling x policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

4800+183x

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

4800+183x\geq 8000

Let's solve the inequality:

1. Subtract 4800 from both sides

4800-4800+183x\geq 8000-4800

183x\geq 3200

2. Divide both sides by 183

\frac{183x}{183} \geq \frac{3200}{183}

x\geq 17.48

Since she can't sell a fraction of a policy, we must round the result to the next integer:

x\geq 18

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0
3 years ago
What is the area of this rectangle in square yards?
Vikentia [17]
In the comment of the other answer, you said that the rectangle is 24 x 18 ft.

First, we have to find out how many square feet that is, and then we can convert it to square yards.

The area of a rectangle is the length multiplied by the width.

A = l x w
A = 24 x 18
A = 432 square feet

To find out how many square yards that is, we divide it by 3, because 1 yard is 3 feet.

432 ÷ 3 = 144

The area of a 24x18ft rectangle is 144 square yards.
7 0
3 years ago
Can someone help with my homework?
USPshnik [31]

Step-by-step explanation:

To divide by a fraction, multiply by its reciprocal.

1) (m² / 9) / (n² / m)

(m² / 9) × (m / n²)

m³ / (9n²)

2) (4 / y) / (2 / (yx))

(4 / y) × (yx / 2)

2x

3) (x² / y) / (1 / y)

(x² / y) × (y / 1)

x²

4) (3 / b) / (9 / a²)

(3 / b) × (a² / 9)

a² / (3b)

5) (x² / 16) / (16 / y²)

(x² / 16) × (y² / 16)

x²y² / 256

5 0
3 years ago
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