Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Answer:
18x
Step-by-step explanation:
j=18
k=x
18xor18
I do not understand this question
Answer:
- Before: Bob, $4; Bessy, $24
- After: Bob, $10; Bessy, $30
Step-by-step explanation:
Let x represent the amount of money Bob starts with. Then Bessy starts with 6x. After they have each earned $6, the relationship of their amounts is ...
(6x +6) = 3(x +6)
6x +6 = 3x +18
3x = 12
x = 4
Bob starts with $4; Bessy with $24.
After earning $6, Bob has $10; Bessy has $30.
Answer:
1. cos (x/2)
2.y=cos(4x)
3. y=cos(x)
4.y= cos(x/4)
Step-by-step explanation:
The graph of cosine function is sinusoidal and the y value ranges between -1 to 1.
the cosine function is periodic with general period P of 2π
if P< 2π then cosine graph experience a compression horizontally
if P>2π then cosine graph experience a stretch horizontally
for graph 1, the period is 4π hence the graph is stretched with period of 4π
for graph 2, the period is π/2 hence the graph is compressed with period of π/2
for graph 3, the period is 2π hence the graph is periodic with period of 2π
for graph 4, the period is 8π hence the graph is stretched with period of 4π
!
2.33 repeating your welcome