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Step2247 [10]
2 years ago
5

Solves a systems of linear equations in two variables.

Mathematics
1 answer:
AURORKA [14]2 years ago
8 0
1) (2,-1)
2) (-2,-1)
3)(.156,-2.22)
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Solve for x in the given interval.<br><br> sec x= -2√3/3, for π/2 ≤x≤π
drek231 [11]

Answer:

b. x=\frac{5\pi}{6}

Step-by-step explanation:

The given function is

\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}

\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }

\Rightarrow \cos x=-\frac{\sqrt{3}}{2}

We take the inverse cosine of both sides to obtain;

x=\cos^{-1}(-\frac{\sqrt{3}}{2})

x=\frac{5\pi}{6}

4 0
3 years ago
What is the value of x in this diagram?<br><br><br> Please help
marshall27 [118]
Answer: x=75

Explanation:
x+10+x+20=180
combine like terms
2x+30=180
subtract 30 from each side
2x=150
divide each side by 2
x=75
7 0
2 years ago
PLEASE HELP I NEED THE ANSWER ASAP
Andreas93 [3]

Answer:

x>3, the last option with the open circle

Step-by-step explanation:

7 0
3 years ago
The graph of a proportional relationship is a straight line passing through the?​
Aneli [31]
Through the origin (0,0)
7 0
2 years ago
Read 2 more answers
To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest
soldier1979 [14.2K]

Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%

7 0
3 years ago
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