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

Can anyone help me with this question please I really need help please I’ll mark as brainliest

Answers

Answer:

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Step-by-step explanation:

Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:

[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?

Answers

Answer:

17 feet tall

Step-by-step explanation:

0.17 x 100 is 17

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate

Answers

Answer:

6%

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

2400=4000x r x 10

2400=40000r

2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6

The elevators in an office building have been approved for a maximum load of 3,600 pounds.

Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?

Plz help thx.

Answers

Answer:

w [tex]\leq[/tex] 3,600

Step-by-step explanation:

[tex]\leq[/tex]  means less than or equal to.

What is 5796÷25 show working ​

Answers

Answer:

231.84

Step-by-step explanation:

I don't know but use a calculator

y/4 − 2 = 9

what does y =

Answers

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

y/4 - 2 = 9

Turns into

y/4 = 11

Then multiply both sides by 4 to get rid of the division

y = 44

El siguiente cuerpo es CUARTA PARTE de un cilindro. ¿Cuál es el volumen? r = 6 cm; h = 9 cm

Answers

Answer:

es 54 espero que esto ayude adiós!

Step-by-step explanation:

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.

El volumen de un cilindro es:

Volumen = πr²h

Given that: r = 6 cm; h = 9 cm;

Volumen = πr²h = π(6)²(9) = 1018 cm³

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

find out more at: https://brainly.com/question/1617707

Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?

Answers

Answer:

6

Step-by-step explanation:

250 mL is 0.25 L or 1/4 L.

1 L is enough for 4 students.

A 2-L bottles is enough for 8 students.

Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.

Answer: 3

I need it right now .

Answers

Answer:

y=9

a=1.5

n=74

v=8

k=11

a. y=14
b. a=6.5
c. n=-226
d. v=12
e. k=11

Hello please help me with this question

Answers

The answer to this question is 5589

Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks

Answers

Answer:

66

Step-by-step explanation:

Multiplying 8 by 2 which gives you 16.

Then 16 Add 50 = 66

What is the slope of the equation Y= 5/4 x - 7/4?

a. -7

b. -7/4

c. 5/4

d. 5

Answers

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️

Answers

answer to 3:
slope intercept form is mx+b
answer: 5/4x+2

answer to 4:
i’ve never heard of Ax+By=C form so I can’t help you there

answer to 5:
mx+b
answer: 5/2x-9


(2,-6), (-4,-3)
What is the slope

Answers

Step-by-step explanation:

the slope is -3

that is the answer

Answer:

m = 3/-6

Step-by-step explanation:

Look at attached photo

help ! which of the following are the roots of the given quadratic equation ?

[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6

b. -6

c. 3

d. -3..​

Answers

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are ~

b and d

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex]

[tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex]

[tex]2x(x + 6) + 6(x + 6) = 0[/tex]

[tex](2x + 6)(x + 6) = 0[/tex]

There's two cases here,

Case # 1 - when 2x + 6 = 0

[tex]2x + 6 = 0[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Case # 2 - when x + 6 = 0

[tex]x + 6 = 0[/tex]

[tex]x = - 6[/tex]

Hence, the roots are -3 and -6 ~

Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)

Answers

Answer:

y=3x-1

Step-by-step explanation:

m=y2-y1/x2-x1

m=8-(-7)/3-(-2)

m=8+7/3+2

m=15/5

m=3

y-y1=m(x-x1)

y-(-7)=3(x-(-2)

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?

243/15
11
-15/243
33​

Answers

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].

The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].

Hence:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

[tex]A = \frac{204 - 39}{20 - 5}[/tex]

[tex]A = 11[/tex]

The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437

a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

--------------------------

Answer: 50

Step-by-step explanation  :<

Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)

Answers

Answer:

t=(v-u)/a

hope it will help you

Jaycee and Tyler are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised 210$. If Jaycee raised 70$ how many candy bars did he sell?

Answers

Answer:

28 bars because 84/3 = 28

Step-by-step explanation:

9 is what percent of 45?​

Answers

Answer:

20%

Step-by-step explanation:

9/45 = 0.2

0.2*100 = 20

9:45*100 =

( 9*100):45 =

900:45 = 20

So it’s 20

which one is correct
a.
b.
c.

Answers

I am pretty sure it is b sorry if wrong

En la figura, BE y AD son segmentos, AB = 4 y AC = 3. Se puede determinar el perímetro del triángulo
CDE si:

Answers

Answer:

AD=7,BE=6,AB=4,AC=3.

How to graph an equation.

Answers

Answer:

Below

Step-by-step explanation:

To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b

We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.

Hoped this helped.

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52​

Answers

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:


14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth

Answers

Answer:

I'm an island boii ️️

may someone please help me solve the inequality
-4 (x - 2) + 5 < 9

Answers

Answer:

[tex]\huge\boxed{x > 1}[/tex]

Step-by-step explanation:

-4(x - 2) + 5 < 9

Subtract 5.

-4(x - 2) < 4

Divide by -4 (Flip the sign when dividing by a negative number).

x - 2 > -1

Add 2.

x > 1

Hope it helps :) and let me know if you want me to elaborate.

Answer:

x>1

Step-by-step explanation:

I had that same question hope that helped

A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.

Answers

Answer:

sorry i dont quite understand your question .

Ratio would be 1/2 or 50:100 in terms to 40:80

Step-by-step explanation:

if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "

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