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Andru [333]
3 years ago
11

Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2.
Mathematics
1 answer:
erastova [34]3 years ago
6 0
The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
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What is true about the sum of the two polynomials?
const2013 [10]

Answer:

f'(x) = -f(x) = 9xy² - 6x²y + 5x³

Step-by-step explanation:

f(x) = –9xy² + 6x²y – 5x³

additive inverse: f'(x) = -f(x) = 9xy² - 6x²y + 5x³

f(x) + f'(x) = f(x) -f(x) = (–9xy² + 6x²y – 5x³) + (9xy² - 6x²y + 5x³) = 0

8 0
3 years ago
Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 82,61,7
emmainna [20.7K]

Answer:

223 hours

Step-by-step explanation:

Total hours worked by Lee = sum of all the hours worked

That’s

82 + 61 + 7 + 73 = 223 hours

Therefore, Lee worked 223 hours as manager for the local Pizza Hut

5 0
3 years ago
A ball is drawn at random from a box containing 12 red,18
Lubov Fominskaja [6]

<u>Answer:</u>

<u>For a:</u> The probability of getting a red or blue ball is 0.48

<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81

<u>For c:</u> The probability of getting neither white or orange ball is 0.48

<u>Step-by-step explanation:</u>

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}     .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

  • <u>For a:</u>

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48

  • <u>For b:</u>

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81

  • <u>For c:</u>

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0
3 years ago
Mathmerica Bank offers 2.1% interest compounded yearly
Scilla [17]

Answer:

Total = 2,500 (1.021)^t

Step-by-step explanation:

There is no question but the formula for compound interest is

Total = amount (1 + rate)^time

Total = 2,500 (1.021)^t

6 0
3 years ago
Need help pls pls!!!!!!
Artyom0805 [142]

Answer:

2916 ft³

Step-by-step explanation:

•the diameter of the sphere is 18 ft , to find the radius(r) you have to divide it by 2 ,

•which gives 9ft .

•And they also told you to take the value of pie as 3.

•So, substitute the values into the formula given for V and you will have your answer.

Hope I was able to help:))

4 0
3 years ago
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