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natta225 [31]
3 years ago
6

Look at exemplar above and use desmos to graph and identify the solution

Mathematics
1 answer:
Schach [20]3 years ago
7 0

It occurs when x is 2.

Hope this helps.

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Use a net to find the lateral area and the total surface area of the cereal box.
ziro4ka [17]
To find the lateral area you will find the area of all 4 faces that are perpendicular to the base.

You will multiply the side by the length (front/back) and the side by the width (sides).

12 x 8 = 96
12 x 2 = 24
120 square inches x 2 = 240 square inches

The lateral area is 240 square inches.

The area of the base is 8 x 2 = 16 square inches.

16 x 2 = 32 square inches

240 square inches + 32 square inches = 272 square inches is the surface area.
7 0
3 years ago
A man, 1.5m tall, is on top of a building. He observes a car on the road at an angle of 75°. If the building is 30m, how far is
podryga [215]
A man 30 m tall is ab 20 if anything
7 0
2 years ago
A geologist studying the depths of water in a mountain lake finds that it has changed from 8,300 ft to 8,881 ft over a period of
grigory [225]

Answer:

7.0%

Step-by-step explanation:

Here, we want to get the value of the percentage increase

mathematically, we have the formula for this as follows ;

(new value - old value/old value * 100%

from the question, old value is 8,300 ft and the new value is 8,881 ft

So we have the percentage increase as follows;

(8,881 - 8,300)/8,300 * 100%

= 7.0%

5 0
2 years ago
Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
3<br>Which of these is equivalent to 4<br>81 <br>64 <br>44 <br>12​
jek_recluse [69]
The answer is 44. ! Your welcome
8 0
3 years ago
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