Answer:
D
B
Step-by-step explanation:
1. x² - 5x = 14
x² -5x -14 = 0
x² +2x -7x -14 = 0
x(x + 2) -7(x + 2) = 0
x - 7 or x + 2 = 0
x = 7 or x = -2
2. y² + 6y + 9 = 49
y² + 6y +9 -49 = 0
y² +6y -40 = 0
y² +10y -4y -40 = 0
y(y + 10) -4(y + 10) = 0
y -4 or y + 10 = 0
y = 4 or y = -10
Answer:
aC N Saxl wfm sf ,ms
Step-by-step explanation:
z.mv. v,sf vnmfv
Answer:
5/8
Step-by-step explanation:
1/4+3/8=5/8
Answer:
x=12
Step-by-step explanation:
move the 3 to the other side to get x by itself.
check: 12 + 3 = 15
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
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