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Zielflug [23.3K]
3 years ago
6

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the

Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer:

There are none.

Step-by-step explanation:

<u>No calculus involved:</u>

The line, in slope-intercept form, has equation y=-10x+17, ie is always decreasing (easy to spot applying the definition)

Meanwhile, y=e^{5x} is always increasing over its domain.

At no point the tangent will be decreasing.

<u>Let's use calculus</u>

We are to solve the equation y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2 which has no real solutions.

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FACTOR EACH EXPRESSION, IF IT CANT BE FACTORED WRITE CANNOT BE FACTORED. 1. 4x+12
dimaraw [331]
1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12. 
4x=2*2*x
12=3*2*2
The greatest common factor is 4. Put this outside of the parentheses.             (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)

To check, distribute to see if it works.

4x+12

2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2.                                                                 (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
Solution: 2(4r-7)

To check, distribute to see if it works.

8r-14

Do you get it now?

3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.

32x-15
Find the GCF of 32x and -15

32x: 2*2*2*2*2*x
-15: -1*5*3

Because there are no similar factors other than 1, it cannot be factored.

6.)  8(4x+3)
7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
12.) 50(1x+5)



4 0
3 years ago
Read 2 more answers
Help help help please homework is killing me right now
Veronika [31]

The domain of a function is the set of input or argument values for which the function is real and defined.

So, for the given function to be defined, we need to find the possible values for which the values of x makes the square root to be positive.

That is;

-9 -5x ≥ 0

Now, let's solve for x

Add 9 to both-side of the equation

-5x ≥ 9

Divide both-side by -5

x ≤ -9/5

Therefore, the domain of the function can be represented in interval notation as: ( - ∞ , -9/5]

8 0
1 year ago
The perimeter of rectangle is 48ft the length is 16 from. Whats is the area?
solniwko [45]

Answer:

128

Step-by-step explanation:

There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.

7 0
2 years ago
Drag a reason to each box to complete the proof.<br> Please help <br> will give you brainliest
Helga [31]

Answer:

The required proof is shown below.

Step-by-step explanation:

Consider the provided figure.

It is given that KM=LN

We need to prove KL=MN

Now consider the provided statement.

KM = LN                     Given

KM = KL+LM              Segment addition postulate

LN = LM+MN             Segment addition postulate

KL+LM = LM+MN      Substitution property of equality

KL = MN                    Subtraction property of equality

The required proof is shown above.

3 0
3 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Finger [1]
The probability is 0.1458.

The probability is given by:

_{20}C_2(0.04)^2(1-0.04)^{20-2}&#10;\\&#10;\\=_{20}C_2(0.04)^2(0.96)^{18}=0.1458
5 0
3 years ago
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