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max2010maxim [7]

3 years ago

6

Taylor baked a cake to serve after dinner. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces.exp

lain how they could have divided the pieces so that everyone could eat the same amount of cake.

1 answer:

REY [17]3 years ago

8 0

All you need to do is 8 divided by 6. When you do so you get: 1.3 which could also be written as 1 3/8.

So each person gets 1 whole piece and 3/8 of another piece.

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Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: graph of negative 3 x to the fou

Serggg [28]

Answer:

The average rate of change from x=0 to x=1 for f(x) is 0.

Step-by-step explanation:

We are given the function $f(x)=-3x^{4}-x^{3}+3x^{2}+x+3$ .

Now, the rate average rate of change of a function from $y=x_{1}$ to $y=x_{2}$ is given by $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}$ .

As, we need the rate of change from x = 0 to x = 1.

So, we will find the values of f(0) and f(1).

i.e. $f(0)=-3\times0^{4}-0^{3}+3\times0^{2}+0+3$ i.e. f(0) = 3

and $f(1)=-3\times1^{4}-1^{3}+3\times1^{2}+1+3$ i.e. $f(1)=-3-1+3+1+3$ i.e. f(1) = 3

Thus, the rate of change from x=0 to x=1 is $\frac{f(1)-f(0)}{1-0}$ i.e. $\frac{3-3}{1-0}$ i.e. 0

Hence, the average rate of change from x=0 to x=1 for f(x) is 0.

7 0

3 years ago

Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2

ololo11 [35]

<h3> $6w^2 +8w +4$ is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

$w^2 + 7w^2 + 8w -5+9-2w^2$

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

$w^2 + 7w^2 + 8w -5+9-2w^2$

Group the like terms

$w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4$

Thus the given expression is simplified

4 0

2 years ago

Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? 120 square centimeter

Temka [501]

72 square centimeters because
<span>(12×10)−(8×6)</span>
<span>120−48</span>
<span>72</span>

7 0

2 years ago

Read 2 more answers

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

3 years ago

The first thing to do if your accelerator sticks is to

defon

Answer c. is definitely wrong. I would think b. is the correct answer. if you just just a. shut off the engine you just look control of the vehicle completely.

8 0

2 years ago