Answer:
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Pre-Algebra Examples
Popular Problems
Pre-Algebra
Graph y=-0.5x+1
y=−0.5x+1y=-0.5x+1
Use the slope-intercept form to find the slope and y-intercept.
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Slope: −0.5-0.5
y-intercept: 11
Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values.
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Answer:
x=6 degrees
Step-by-step explanation:
I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.
That's 59. I solve for x in the equation 59=10x-1.
That is the same thing as 60=10x, which is also the same as 6=x.
Answer:
The solutions of the equation are 0 , π
Step-by-step explanation:
* Lets revise some trigonometric identities
- sin² Ф + cos² Ф = 1
- tan² Ф + 1 = sec² Ф
* Lets solve the equation
∵ tan² x sec² x + 2 sec² x - tan² x = 2
- Replace sec² x by tan² x + 1 in the equation
∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2
∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms
∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides
∴ tan^4 x + 2 tan² x = 0
- Factorize the binomial by taking tan² x as a common factor
∴ tan² x (tan² x + 2) = 0
∴ tan² x = 0
<em>OR</em>
∴ tan² x + 2 = 0
∵ 0 ≤ x < 2π
∵ tan² x = 0 ⇒ take √ for both sides
∴ tan x = 0
∵ tan 0 = 0 , tan π = 0
∴ x = 0
∴ x = π
<em>OR</em>
∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides
∴ tan² x = -2 ⇒ no square root for negative value
∴ tan² x = -2 is refused
∴ The solutions of the equation are 0 , π
Answer: $1,907.63
Explanation:
It is stated in the problem that the brokerage fee is $450 plus 1.15% (meaning 1.15% of $126,750). Hence the brokerage fee is computed as follows
(Brokerage fee) = $450 + (1.15% of $126,750)
= $450 + (0.0115)($126,750)
= $450 + $1,457.625
= $1,907.625
Since there is no half cents today, we round-off the brokerage fee to the nearest cent. Hence the brokerage fee is $1,907.63.
Note: In the computation of brokerage fee, we need to change 1.15% to decimal.
4:5 of 4 to 5 representing Miami Dolphins to Oakland Raiders