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brilliants [131]
3 years ago
7

Which of the following functions is graphed below?

Mathematics
1 answer:
Paul [167]3 years ago
6 0
The graph shows a piecewise function, meaning that different functions are shows at different intervals (ranges of x-values). 

1) One of the graphs is part of a parabola, meaning the equation is quadratic (has x^{2}). That equation must be x^{2} + 4.
2) The other graph is a straight line, meaning it must be a linear equation. That equation must be x + 4.

Looking at the entire graph, you can see that the parabola starts from the left and ends with an open circle at x=2. An open circle means that the graph doesn't have a value at that point, x=2. The linear line starts with a filled point at x=2 and continues to the right. That means we're looking for the choice where:
1) x^{2} + 4  \ \textless \  2
Since x=2 cannot be a point in the graph, and less than 2 means that the graph includes everything to the left of 2, but not including 2

2) x + 4  \geq  2
Since x=2 is a point in the graph, and greater than or equal to 2 means that the graph includes 2 and everything to the right of it

------

Answer: C) y = \left \{ {{x^{2} + 4  \textless \ 2} \atop {x + 4 \: \geq \: 2}} \right.



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Answer:

12

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A = 1/2 6*4

   = 1/2 (24)

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4 years ago
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11. Find the exact value by using a half-angle identity. (1 point)
ValentinkaMS [17]
<span>11. Find the exact value by using a half-angle identity. 
</span><span>sin (22.5)
</span><span>the sine half-angle formula
</span>

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sin(22.5)=±((1−cos(45))/2) ^0.5

sin(22.5)=±((2-2^0.5))^0.5/2

sin(22.5)=±0.3826834324

<span>
12. Find all solutions to the equation in the interval [0, 2π)
</span>cos x = sin 2x
cosx-sin 2x=0
<span>using a graphical tool
</span>in the interval [0, 2π)

<span>the solutions are
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x4=5</span>π/6---------- not solution<span>
x5=3</span>π/2---------- is a solution

<span>the answer is the letter <span>a) pi divided by two. , three pi divided by two

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13. Rewrite with only sin x and cos x. sin(2x) = 2*sin(x)*cos(x)

sin 2x - cos x=2*sin(x)*cos(x)- cos x= cos x*(2*sin(x)-1)

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<span>14. Verify the identity. 
cosine of x divided by quantity one plus sine of x plus quantity one plus sine of x divided by cosine of x equals two times secant of x</span>.

cosx/(1+sinx) + (1+sinx)/cosx 

<span>
= (cosx * cosx + (1+sinx)(1+sinx)) / (cosx (1+sinx)) 
= (cos²x + sin²x + 2 sinx + 1) / (cosx (1+sinx)) 
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6 0
3 years ago
Which measures are $1 greater for Group B than for Group A?
Marrrta [24]

Answer: C

the mean and the median

Step-by-step explanation:

From the attached table,

The range of group A = 5 - 0 = 5

The range of group B = 4 - 1 = 3

Difference in range is not equal to $1

The mode of A = 1

The mode of B = 3

Difference in mode is not equal to $1

The median of A = (1 + 2)/2 = 1.5

The median of B = 3

Difference = 3 - 1.5 = $1.5

The mean of A = 16/15 = 1.07

The mean of B = 40/15 = 2.67

The difference = $1.6

From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A

The best option among the options is

the mean and the median

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Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.

8. Average rating secured apr: 5.85% divide by 360 multiply by 30:  0.4875% monthly rate
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9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
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15,867 x 1.0525 =  16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.

10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200

19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
18,730.24 x 0.5833% = 109.25 accrued interest

15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest

109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.
7 0
3 years ago
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