Answer:
x = 10
Step-by-step explanation:
2) -3x + 17 = -x - 3
4) 20 = 2x
1) -3x + 12 + 5 = -x -3
5) 10 = x
3) 17 = 2x - 3
<u>-3(x - 4) + 5 = -x - 3</u>
<u>-3x + 12 + 5 = -x - 3</u>
<u>-3x + 17 = -x -3</u>
<em>+3x +3x</em>
<u>17 = 2x - 3</u>
<em>+3 + 3</em>
<u>20 = 2x</u>
<u>10 = x</u>
<u />
I hope that this helps! :)
Answer:
31.0
Step-by-step explanation:
The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.
Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers
= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37
= 248
The mean = 248/8
= 31
Answer:
The measure of the third angle is 35°.
Step-by-step explanation:
The sum of the three angles of a triangle is always 180°.
Let the measure of the third angle be x.
∴ 61° + 84° + x = 180°
145 + x =180°
x = 180 - 145
x = 35°
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Regards..
Answer:
-3 , 9
Step-by-step explanation:
Sum = - 6
Product = -27
Factors = 3, -9
x² - 6x-27 = 0
x² + 3x - 9x - 9*3 = 0
x(x + 3) - 9(x + 3) = 0
(x + 3) (x - 9) = 0
x +3 = 0 ; x - 9 = 0
x = - 3 ; x = 9
Solution: x = -3 , 9

which means the parabola lies above the x-axis over its entire domain. This means the area is given by