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3 years ago

Any one that knows this please help thanks!

Mathematics

1 answer:

zepelin [54]3 years ago

5 0

Replace x with -1, and y = 9

Therefore, (x²y)/-7 becomes (-1² · 9)/-7

-1² is just 1, and 1 × 9 is just equal to 9, so your final answer is -9/7.

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Cindy works at Jurassic Park and has been tasked to design a container in the shape of a rectangular prism for the incoming baby

svetoff [14.1K]

The amount Cindy should increase in each dimension of the scaled model is 12 m.

<h3>What is a rectangular prism?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have:

The scaled model of the container has dimensions 2m by 4m by 6m.

Volume of the scaled model = 2×4×6 = 48 cubic m

Let x be the amount by which each dimension is increased.

(2 + x)(4 + x)(6 + x) = 84(48)

$\rm 48+44x+12x^2+x^3=4032$

$\rm x^3+12x^2+44x-3984=0$

$\rm x-12=0\quad \mathrm{or}\quad \:x^2+24x+332=0$

The quadratic equation has no real solution so,

x = 12 m

Thus, the amount Cindy should increase in each dimension of the scaled model is 12 m.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ1

6 0

1 year ago

Please Help me I'm stuck

Tresset [83]

When reflecting across the Y axis, the Y values remain the same.

Now if you were reflecting across Y = 0, the x values would just be inverse ( opposite signs).

So this triangle if reflected across Y = 0 the new vertices would be (4,4) (2,3) and (5,2)

Now since the reflection line is y = -1, which is a one unit shift to the left of y = 0, subtract 1 unit from each X value.

The locations are now: A'(3,4), B'(1,3) and C'(4,2)

4 0

3 years ago

Enter the difference between the rates of change for these two functions.

Alchen [17]

Answer:

Step-by-step explanation:

Graph :

Choose any two points. (0 , 2) and (-1 , -2)

Rate of change = Change in y ÷ Change in x

$= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-2 - 2}{-1 - 0}\\\\= \frac{-4}{-1}\\\\= 4$

Table:

Rate of change = $\frac{-2-[-6]}{2-0}$

$= \frac{-2+6}{2}\\\\= \frac{4}{2}\\\\= 2$

4 0

2 years ago

Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to neg

Mars2501 [29]

The function is $f(x)= x^{5} -9x ^{3}$

1. let's factorize the expression $x^{5} -9x ^{3}$ :

$f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)$

the zeros of f(x) are the values of x which make f(x) = 0.

from the factorized form of the function, we see that the roots are:

-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3

(the multiplicity of the roots is the power of each factor of f(x) )

2.
The end behavior of f(x), whose term of largest degree is $x^{5}$ , is the same as the end behavior of $x^{3}$ , which has a well known graph. Check the picture attached.

(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of $x^{2}$ )

so, like the graph of $x^{3}$ , the graph of $f(x)= x^{5} -9x ^{3}$ :

"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "