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tangare [24]
3 years ago
15

Solve 3 x - 9 x + 7 - 3 = -8.

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer: x=2

3x−9x+7−3=−8

Step 1: Simplify both sides of the equation.

3x−9x+7−3=−8

3x+−9x+7+−3=−8

(3x+−9x)+(7+−3)=−8

−6x+4=−8

−6x+4=−8

−6x+4−4=−8−4

−6x=−12

−6x

−6

=

−12

−6

x=2


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erica [24]

9514 1404 393

Answer:

  1. -51
  2. -30
  3. -60
  4. 2 or -2

Step-by-step explanation:

The function puts a minus sign on 3 times the magnitude of the input.

1. y = -|3×17| = -51

2. y = -|3×10| = -30

3. y = -|3×20| = -60

4. -6 = -|3x|

  2 = |x| . . . . divide by -3

  x = ±2 . . . . two possibilities

8 0
3 years ago
What is the slope of the function?<br> -10<br> -5<br> 5<br> 10
bixtya [17]

Answer:

m= 1/2

Step-by-step explanation:

3 0
3 years ago
What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?
Ainat [17]

Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function f(x)=-3x+79 over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function f(x)=-3x+79 over [2,4]

The rate of change is the slope of the line,

So, \text{Rate of change}=\frac{f(4)-f(2)}{4-2}

f(4)=-3(4)+79

f(4)=-12+79

f(4)=67

f(2)=-3(2)+79

f(2)=-6+79

f(2)=73

Substitute,

\text{Rate of change}=\frac{67-73}{4-2}

\text{Rate of change}=\frac{-6}{2}

\text{Rate of change}=-3

Therefore, The average rate of change is -3.

8 0
3 years ago
Read 2 more answers
In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?
-Dominant- [34]
Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550
3 0
1 year ago
Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9
svetoff [14.1K]

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

Correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

3 0
3 years ago
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