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zysi [14]
3 years ago
7

How to solve the system of equations algebraically over a set of real numbers

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0
<span>Solve the following equation in the real number system. Please show all of your work.
example: 
x³-6x²-10x+12=0
...
f(x)=x³-6x²-10x+12
A graphing calculator will show that there is one zero at x=-2
Divide f(x) by (x+2) by long division or synthetic division
(x³-6x²-10x+12)/(x+2)=x^2-8x+6

solve for other two zeros
x^2-8x+6=0
complete the square
(x^2-8x+16)+6-16=0
(x-4)^2=10
x-4=±√10
x=4±√10=7.16 and -.84
ans:
x=-2, -.84 and 7.16</span>
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a) The stem and leaf plot for the data can be comfortably obtained from the excel option as follows: XL STAT option in excel as follows:
1. In excel sheet choose XL STAT
2. Then in that choose the visualizing data- uni-variate plots.
3. In univariate plot – chart -select the stem and leaf plot.
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8 0
3 years ago
What is the surface area of the composite figure
leva [86]

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

6 0
3 years ago
Two cones are similar. The volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. The height of the sm
EastWind [94]
The height of larger will be 3 cm
As, 
= ∛8 cm³ * 27 cm³ / (2 cm) ³
= 3cm
8 0
3 years ago
Create the Systems of inequality for the following scenario:
Lana71 [14]

Answer:

8 x + 25y ≥100

x+y ≤ 14

Step-by-step explanation:

Hi, to answer this question we to write a system of inequalities.

First inequality:  

The product of the earnings per hour working at culvers (8) and the number of hours worked there, plus the product of the earnings per hour mowing lawns (8) and the number of hours mowing must be greater or equal to $100.

Second inequality:

The amount of time he works at culvers (x) plus the amount of time he works mowing lawn (y) must be less or equal to 14 hours.

8 x + 25y ≥100

x+y ≤ 14

Where:

x = number of hours worked at Culvers

y= number of hours worked Mowing lawns

8 0
3 years ago
Which equation could have been used to create this function table?
Ierofanga [76]
It would be c. y = x because if you plug in the numbers, it would be true
8 0
3 years ago
Read 2 more answers
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