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My name is Ann [436]

2 years ago

15

janice published a novel. Last month the book sold 1364 copies, earning Janice a total of $1579.16. This month the book sold 134

7 copies. How much should Janice expect to receive in royalties this month?

1 answer:

Yanka [14]2 years ago

4 0

Answer:

$1562

Step-by-step explanation:

so she will get less so 1347 copies well be $1562

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

2 years ago

Which are the solutions of x2 = –7x – 8?

vovangra [49]

Answer:

The solutions are:

$x_1=\frac{-7+\sqrt{17}}{2}$ $x_2=\frac{-7-\sqrt{17}}{2}$

Step-by-step explanation:

We have the following quadratic equation

$x^2 = -7x - 8$

We can rewrite the equation as follows

$x^2+7x + 8=0$

Now we use the quadratic formula to solve the equation

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case:

$a=1,\ b=7,\ c=8$

Then:

$x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}$

$x=\frac{-7\±\sqrt{49-32}}{2}$

$x=\frac{-7\±\sqrt{17}}{2}$

$x_1=\frac{-7+\sqrt{17}}{2}$

$x_2=\frac{-7-\sqrt{17}}{2}$

7 0

2 years ago

Read 2 more answers

Please help me wtih this question

k0ka [10]

Answer:

(-2, 3.5)

Step-by-step explanation:

8 0

2 years ago

in a certain chemical, the ratio if zinc to copper is 3 to 16. a jar of the chemical contains 320 grams of copper. how many gram

Dennis_Churaev [7]

Answer:

60 grams

Step-by-step explanation:

For these type of questions, we can equate the ratio with the actual amounts. We will let the quantity to find be an unknown variable, such as x. Then we equate the ratios, cross multiply, and use algebra to solve.

Let grams of zinc be "x", so we can write the ratios and actual amounts as:

$\frac{3}{16}=\frac{x}{320}$

Then we cross multiply and solve for x, what we want to find out. Shown below:

$\frac{3}{16}=\frac{x}{320}\\16x =3 * 320\\16x = 960\\x = \frac{960}{16}\\x=60$

There are 60 grams of zinc.

5 0

3 years ago

How to find the rule of this sequence: 11, 18,25,37?

Arturiano [62]

Hey there! Thanks for asking your question here on Brainly!

You can find the rule to this sequence fairly easily. Take the last number (37) and subtract the second-to-last number (25) from it. That gives you 12. Next, take 25 and subtract 18 from it, which equals 7. Lastly, take 18 and subtract 11 from it, which equals 7. Therefore, the sequence is arithmetic.

The rule would be +7, +7, +12

Finding the rule involves taking one number and subtracting the number before it in order to find the difference between the two numbers, or how the sequence changes.

Hope this helps!! If there's anything else I can help you with, please let me know! :)

7 0

2 years ago