In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
The upper 70th percentile is the number below which 70% of the data lie.
The 70th percentile position is given by:

Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).
Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74
The 25th data in the data set is 58.
Therefore, the upper P70 is 58.
</span>
Answer is a= 51/7 or 7 2/7
Step by step
-2/3 (a + 3) = 5/3a - 19
Distribute to resolve parentheses
-2/3a -2 = 5/3a - 19
Now to move variables to one side
Add 2/3a to both sides
-2/3a + 2/3a -2 = 5/3a + 2/3a -19
Combine like terms
-2 = 7/3a -19
Add 19 to both sides to isolate variable
-2 +19 = 7/3a -19 + 19
17 = 7/3a
Divide both sides by 7/3 to solve for a
(Remember when you divide a fraction, flip it and multiply.)
17 * 3/7 = a
51/7 = a
Picture attached shows steps in order, I think that is what you also needed?
Answer:
69.08
Step-by-step explanation:
first substitute the values of pi 3.14 in the formula c and r 11 inches = 2πr to find c = 2 × 3.14 × 11 inches = 69.08 inches. the circumference is
The number of viruses was 4000 times greater than number of protozoa.
Step-by-step explanation:
Given,
Number of protozoa = 
Number of viruses = 
Let,
x be the number of times number of viruses is greater than number of protozoa.
Number of viruses = Number of time * Number of protozoa

Dividing both sides by 

The number of viruses was 4000 times greater than number of protozoa.
Keywords: division, scientific notation
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