Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17

Answers

Answer 1

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

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

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

At no point the tangent will be decreasing.

Let's use calculus

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


Related Questions

A recipe for a batch of muffins calls for 13 cup of sugar, 34 cup of flour, and 12 cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?

Answers

Answer:

177 total cups

Step-by-step explanation:

13×3=39 sugar

34×3=102 flour

12×3=63 milk

total 177

PLS HELP WILL MARK BRAINLIEST! ANSWER W/ SOLUTION

Answers

[tex] = \: \: \: c = 0 \\ \\ hope \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]

the average adult human has approximately 2.5 x10^13 red blood cells and 7 x 10^9 white blood cells ,about how many times greater is the number of red blood cells as the number of white blood cells

Answers

Step-by-step explanation:

The no. of red blood cells is 2.4993*10^13 more than the no. of white blood cells

Please help! I need to turn this in today.

Answers

Answer:

C this is the answer

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Area = Width X Length

9x+6 / 3 = 3x + 2

100 POINTS IF U GET THIS RIGHT!

Answers

[tex]\\ \sf\longmapsto y=\dfrac{2}{7}x+\dfrac{1}{3}[/tex]

Compare to slope intercept form of a line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

m=Slope=2/7b=y-intercept=1/3

What 5,727 dived by 83

Answers

Answer:

415

____

727

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

What is the slope of the line?
y-4=-7(x-6)

Answers

Answer:  −7

Step-by-step explanation:

please help!! graph y=-4/3x+8

Answers

Answer:

put a point on (0,8) and (4,3)

What’s the gradient and y intercept for c and e and could u explain pls thx

Answers

Step-by-step explanation:

if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept

in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2

in e:6y=2x+3

y=x/3+1/2,gradient = 1/3, y-intercept=1/2

The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b

And the y-intercept is simply the value b.

so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.

So, for a.

y = -1/2x + 8

it's pretty simple : gradient = -1/2

y intercept = 8

Now for c.

[tex]y=\frac{2x-6}{3}[/tex]

[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]

[tex]y=\frac{2}{3}x-2[/tex]

So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )

e.

-2x + 6y - 3 = 0

6y = 2x + 3

y = (2/6)*x + (3/6)

y = (1/3)*x + (1/2)

so the gradient is 1/3

and the y-intercept is 1/2

Good luck, your the best :)

I WILL GIVE BRIANLISTSActivity Thinking About Circles Around You Do this activity together to investigate circles in the real world. Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Sincetrac Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! ? Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?​

Answers

Answer:

Step-by-step explanation:

1) The sun, the moon, windows, drawings, this: . And much more…

2) For example, how far you have to walk around a track, how big the moon is, how much ribbon you need to wrap around a circle present…

0.125 ultiply by 1000

Answers

Answer:

125 is answer .........:)

6x-14<-14 or 3x+10>13

Answers

Step-by-step explanation:

not sure the question but I can solve the equations

6x-14<-14

6x<0

×<0

3x+10>13

3x>3

×>1

i think the last question today lol

Answers

Answer:

the picture is not clear

Step-by-step explanation:

Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1

Answers

Step-by-step explanation:

a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,

no solution as √x is a positive value

c. √x+1=0 ⇒ √x = - 1,

no solution as √x is a positive value

d. √x = 0.1 ⇒  x = 0.1² ⇒ x = 0.01

#1

√x-3=0x-3=0x=3

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

√x+1=0x+1=0x=-1

If root is over x only then no solutions

#4

√x=0.1

x=0.01

Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?

Answers

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

Answers

Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.


Keshawn's bank account had a balance of $40.51 last month. This month he won a cash prize of $73.95 for winning a competition. How much money does Keshawn have at the end of the month if there are no other transactions?

Answers

Answer:

$114.46

Step-by-step explanation:

40.51+73.95=114.46

Solve the equation
n/10+6=13

Answers

Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13

How to find where inflection points are.

Answers

here’s the answer !! have a good day
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero. In other words, solve f '' = 0 to find the potential inflection points. Even if f ''(c) = 0, you can't conclude that there is an inflection at x = c.

How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters​? Use 3.14 for π

Answers

Answer:

556

Step-by-step explanation:

I hope this helps

The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population

Answers

Answer:

The shape of the pyramid does not provide information on population growth

Given the following graph what is the slope?

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

Help please I don’t know how to do it

Answers

an integer is just a whole number, so like 3 or 6 or 17. any number without a decimal.
The question is asking what number is less than 2 and 8.
the answer could be 5 or 3 or 4

Sale amount 1250.00 and 5% Sales tax
What is the total amount payed

Answers

If the sale amount is 1250.00 and the 5% sales tax the total amount payed is 250

22 meters per second in kilometers per hour.

Answers

Answer:

79.2 kilometres per hour

Step-by-step explanation:

1 km = 1000 m

1 hr = 3600 sec. To convert km/hr into m/sec,

We multiply the speed which in this case is 22m/s

by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.

this is the very last question I swear :-)

Answers

Answer:

x= (p+10)/5

Step-by-step explanation:

first you take the peaches and add 10, p+10, and then divide by 5

Answer:

(p + 10)/5

Step-by-step explanation:

Write the linear equation in slope-intercept form and simplify.
–4x + 13y = 7

Answers

[tex]\\ \sf\longmapsto -4x+13y=7[/tex]

[tex]\\ \sf\longmapsto 13y=4x+7[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{4x+7}{13}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}[/tex]

need help knowing if I got it right

Answers

Answer:

yeppp i got the same answer

Step-by-step explanation:

Any one know the answer for this question??????

Answers

Answer:

C) y > 0

Step-by-step explanation:

I graphed it

HELP!!!!! QUICK 100 pts to help me!!!!!! A 35 foot ladder rests against a window ledge that is 25 feet above the ground. How far is the base of the ladder from the base of the building? Round your answer to the nearest tenth. Show all work in the "show your work" box.

Answers

Answer:

24.5

Step-by-step explanation:

Apply the pythagorean theorem:

35^2-25^2=c^2

1225-625=c^2

600=c^2

c=24.5

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