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aleksandrvk [35]
3 years ago
6

What is the domain of the function y = 3 l n x graphed below? On a coordinate plane, a curve starts in quadrant 4 and then incre

ases up into quadrant 1. It crosses the x-axis at (1, 0). x greater-than 0 x less-than 0 x less-than 3 x greater-than 3

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

<h2>X greater-than 0</h2>

Step-by-step explanation:

The given function is

y=3ln(x)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negatice, because the logarithm of a negative number is undefined, the same happens for x=0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0.

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You will spend 4 hours each day making play
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a batch of playdough is produced in =1/6 hour

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4 0
3 years ago
Are shape I and shape II similar? If so, give the dilation that proves they are similar. If not, explain why the shapes are not
e-lub [12.9K]

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

5 0
3 years ago
How can you use similar triangles to solve problems?
mars1129 [50]

Answer:

you can use similar triangle to make known degrees in problems to make then easier to solve. With similar triangle, the angles are the same, but the scale is different. So by using this, one can solve both at the same time, and just just scale up the smaller one or scale down the larger, by the given/found scale.

Step-by-step explanation:

8 0
2 years ago
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A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
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