Answer:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
What are you looking for?? Area? Perimeter?
The decay factor of the exponential function given in the table is of 
.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
y = (-14/15) x + (11/15)
Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
14x + 15y = 11
To put this in slope-intercept form, we will need to isolate the y as follows:
14x + 15y = 11
15y = -14x + 11
y = (-14/15) x + (11/15)
were:
m is the slope = -14/15
c is the y-intercept = 11/15
Hope this helps :)
Answer:
1.B 2.H 3. A
Step-by-step explanation:
1. First, find out the percentage of people who voted for Mathematika in survey one.
The total amount of people who voted is 14+17+19, which equals 50. 17/50 people voted for Mathematika, 17/50 = 0.34.
To find out how many people out of 300 will vote for Mathematika, multiply the 0.34 by 300. 300 x 0.34 = 102, so 102 people will vote for Mathetika.
2. You use the same logic for number 2. 14+17+19+20+19+11 = 100, so 100 people voted in total. 34 people voted for Infinitus. 34/100 = 0.34. Multiply 0.34 by 750 to get 255 people will vote for Infinitus.
3. The mean = the average. To find the average, add up all of the numbers, then divide that number by the amount of numbers added together.
7+9+11+13+15 = 55
5 numbers were added together so you divide 55 by 5
55/5 = 11. The mean is 11
9+10+11+12+13 = 55
There were 5 numbers added together
55/5 = 11. Both the means were the same
