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ipn [44]
3 years ago
10

Is it possible for an exponential equation to have no solutions? If so, give an example. If not, explain why.

Mathematics
1 answer:
vredina [299]3 years ago
4 0
A function f(x) has solutions if we can find a value to plug in that leads to 0. In other words, there are solutions to f(x) = 0. Another term for "solution" is "root" or "x intercept"

An exponential function may cross the x axis at one point only. Though there are plenty of cases when there are no solutions at all. For instance, in the case of f(x) = (2^x) + 10

The right hand side will never be equal to zero no matter what you plug in for x. The graph will never cross the axis.

To answer your question, yes it is possible to have an exponential equation to have no solutions. 
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What is 185% of 38?<br><br> 7.03<br><br> 70.3<br><br> 703<br><br> 7030
Lilit [14]

Answer:

B) 70.3

Step-by-step explanation:

You can solve this question two different ways.

One way is to find 85% of 38 by doing 38 × 0.85, which is 32.3. Then, you can add that to 38 (since 100% of 38 is 38) and get 70.3.

Another way you can find this (the easiest way) is to just find 185% right off the bat by doing 38 × 1.85 and get the answer of 70.3.

3 0
2 years ago
Read 2 more answers
Consider the vectors Bold uuequals=left angle 4 comma 0 right angle4,0 and Bold vvequals=left angle negative 3 comma negative 3
saw5 [17]

Answer:

Angle between the two vectors is 135°

u•v = -12

Step-by-step explanation:

Given two vectors u = (4,0) and v = (-3,-3).

To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;

u•v = |u||v|cos theta

cos theta = u•v/|u||v|

theta = arccos  (u•v/|u||v|)

u•v = (4,0)•(-3,-3)

u•v = 4(-3)+0(-3)

u•v = -12

For |u| and |v|

|u| = √4²+0²

|u| = √16 = 4

|v| = √(-3)²+(-3)²

|v| = √9+9

|v| = √18

|v| = 3√2

|u||v| = 4×3√2 = 12√2

theta = arccos(-12/12√2)

theta = arccos(- 1/√2)

theta = -45°

Since cos is negative in the second quadrant, theta = 180-45°

theta = 135°

To get u•v using the formula u•v = |u||v|cos theta

Given |u||v| = 12√2 and theta = 135°

u•v = 12√2cos 135°

u•v = 12√2× -1/√2

u•v = -12√2/√2

u•v = -12

For the diagram of the vectors, find it in the attachment below.

4 0
3 years ago
Read 2 more answers
How much taxes do I pay if the taxes are 2.5% and I make 80,000 a year?
Natali [406]
Percentage of taxes = 2.5%
Amount of income = $80000
Amount of money paid  = (2.5/100) * 80000
                                                                               = 2.5 * 800
                                                                                 = 2000 
<span>So $2000 is the amount needed to pay taxes every year. </span>
8 0
3 years ago
What single decimal multiplier would you use to increase by 4% followed by a 3% increase
Mandarinka [93]

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!

7 0
3 years ago
What is the complimentary angle of 72 degrees
Irina18 [472]

Answer: 18°

Step-by-step explanation:

Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say

x + y = 90°

Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°

i.e 90° - 72° = 18°

Thus, the complimentary angle of 72° is 18°

4 0
3 years ago
Read 2 more answers
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