9e^2x - 30e^x + 25 = 0



Please I need a step by step solution urgently ​

Answers

Answer 1

Answer:

Here you go

Step-by-step explanation:

The first term is,  9e2  its coefficient is  9 .

The middle term is,  +30e  its coefficient is  30 .

The last term, "the constant", is  +25

Step-1 : Multiply the coefficient of the first term by the constant   9 • 25 = 225

Step-2 : Find two factors of  225  whose sum equals the coefficient of the middle term, which is   30 .

   

     15    +    15    =    30    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  15  and  15

                    9e2 + 15e + 15e + 25

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3e • (3e+5)

             Add up the last 2 terms, pulling out common factors :

                   5 • (3e+5)

Step-5 : Add up the four terms of step 4 :

                   (3e+5)  •  (3e+5)

            Which is the desired factorization


Related Questions

What is y=3x+13 in standard form?

Answers

Answer:

3 x − y = − 13

Step-by-step explanation:

Any equation that relates the first power of x to the first power of y produces a straight line on an x-y graph. The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept. Converting from slope intercept form to standard form takes little more than basic arithmetic.

TLDR:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

Answer:

3x - y = -13

Step-by-step explanation:

y = mx + b

(This is the slope intercept form)

We want to change it to standard form, which is:

Ax + By = C

We want to rearrange as many of the numbers as we can, without actually changing the problem!

Ax = 3x

By = y

C = 13

So we must move the numbers from one side to another.

Whatever you do to one side, you do to the other.

y = 3x + 13

-3x + y = -3x - y

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

-3x + y = 13

Since we can't have our "Ax" as a negative multiply everything by -1

-1[-3x + y = 13]

3x - y = -13

That is your answer.

21. Susan traveled 114 miles in 2 hours. If she keeps going at the same rate, how long will it take her to go the remaining 285 miles of her trip?
a. 5 hours
b. 3 hours
c. 7 hours
d. 4 hours

Answers

5 hours because 114/2 is 57 which means it’s 57 miles per hour. so 57x5 is 285

Does anyone know this?

Answers

Answer:

obtuse scalene

Step-by-step explanation:

Answer:

Obtuse Scalene

Step-by-step explanation:

all the sides have different numbers

The product of two consecutive integers is 19 less than their sum.
What equation represents the statement above? ​

Answers

Answer:

is there any choices?

Step-by-step explanation:

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The slope of the line through the points (8,4) and (6.5) is 2.*
False
True

Answers

Answer:

False

Step-by-step explanation:

The slope of that line is -1/2

False

The slope of the line is actually -.05

I would have explained this further but u need it fast so..

HELP!! This is for my math, Picture added.

Answers

Answer:

x=3, x=[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

2x^2-x-15=0

2 times -15 equals -30, so plug in 5x and -6x for -x

2x^2-6x+5x-15  factor,

2x(x-3)    5(x-3)

x-3=0      2x-5=0

x=3    x= -5/2

how do you solve this pls help!!!​

Answers

Answer:

y = 1

x = -0.75

Step-by-step explanation:

The alternate angles theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.

21y - 1 = 4x + 23

21y - 24 = 4x

5.25y - 6 = x

21y - 1 = 4x + 23

21y = 4x + 24

y = 4/21(5.25 - 6) + 1.14

y = 1 - 1.14 + 1.14

y = 1

5.25(1) - 6 = x

-0.75 = x

Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?

Answers

Answer:

D.

Step-by-step explanation:

The equation given takes the point-slope form which is, [tex] y - b = m(x - a) [/tex]. Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of [tex] y - 2 = 3(x - 1) [/tex], look for the points which will give you something almost exactly as the equation if you substitute their values into [tex] y - b = m(x - a) [/tex].

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into [tex] y - b = m(x - a) [/tex]

We have:

[tex] y - (2) = m(x - (1)) [/tex]

[tex] y - 2 = m(x - 1) [/tex]

As you can see, this looks almost exactly as

[tex] y - 2 = 3(x - 1) [/tex].

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into [tex] y - 2 = m(x - 1) [/tex] to find m:

In graph D, let's take the points (0, -1)

[tex] -1 - 2 = m(0 - 1) [/tex]

[tex] -3 = m(-1) [/tex]

[tex] -3 = -m [/tex]

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line [tex] y - 2 = 3(x - 1) [/tex].

what is the opposite of −(−6.3)

Answers

Answer:

the reicprocal is -1/6.3

Step-by-step explanation:

the table shows ordered peirs of the function y= 8 - 2x what is the value of y when x = 8

Answers

Answer:

y = -8

Step-by-step explanation:

All we need to is substitute for x and solve for y.

y = 8 - 2x

y = 8 - 2(8)

y = 8 - 16

y = -8

Best of Luck!

the amount of money rachel earns varies directly with the number of hours she works. if sue earns $600 when she works 40 hours , how much will she earn for working 85 hours ?

Answers

Answer:

I think 500

Step-by-step explanation:

600 minus 40 mminus 85

1,275
Explanation : If she earns 600 dollars working for 40 hours, you can find the amount she earns working an hour by dividing 600/40 which will give you $15 an hour. From there it asks how much will she earn working 85 hours, so you multiply $15 by the 85 hours so you get 1,275

Which of the diagrams below represent a function from X to Y

Answers

Answer:

d

Step-by-step explanation:

because it is a one to one relation

The answer is d., its the only one that isnt x to 2 y's or y to 2 x's

round to the tenth. i need the answer plss​

Answers

Answer: D

Step-by-step explanation:

Answer:

C=6.4ft

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 5^2 = c^2

4 + 4 = 16

5 + 5 = 25

16 + 25 = c^2

41 = c^2

Now you will need to find the square root of 41 which gives you 6.40 and you just round to nearest tenth..

HOPE THIS HELPS!!


Identify the slope and y-intercept from the following equation.

Answers

Answer:

The slope is 2/5 and the y intercept is -4

Step-by-step explanation:

The slope is always the coefficient to x

Answer:

slope = [tex]\frac{2}{5}[/tex] , y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex] and y- intercept c = - 4

Lisa and her date spent $87.70. They want to leave a 20% tip. What amount would be reasonable for the tip?​

Answers

Answer:

17.54 would be tip so reasonable would be 20$

Step-by-step explanation:

In the transformed quadratic function
vertex point is
g(x) = 3(x – 5)2 - 4 , the
O (5, 4)
O (3, -4)
o (-5, -4)
(5,-4)

Answers

Answer:

            (5, -4)

Step-by-step explanation:

f(x) = a(x - h)² + k        ← the vertex form of quadratic function where vertex is: (h, k)

[tex]\left{\big{f(x)=a(x-h)^2+k}\atop \big{g(x)=3(x-5)^2-4}\right\}\implies a=3\,,\ \underline{h=5\,,\ k=-4}[/tex]

Write 2 and two-thirds as an improper fraction?

Answers

8/3,
2*3=6
6/3+2/3=8/3

Answer:

2 2/3

Step-by-step explanation:

What is five times 3 and 3/4

Answers

Answer:

18.75

Step-by-step explanation:

I KNOW ITS RIGHT LOL HOPE THIS HELPED

5 times 3 is 15 simple but 5 times 3/4 or .75 is 3.75

f(x) = 8x - 11

f(9) =

Answers

Answer:

61

Step-by-step explanation:

hi! we can start off by plugging in the number 9 for x in the equation.

f(x)=8x-11)

f(9)= 8(9)-11

= 72-11

=61

hope this helps.

The answer is 61.

Replace the x in the equation with the nine. F(9) = 8(9) - 11

Now first multiply 8 x 9 which is 72

Now you have F(9) = 72 - 11
Subtract the two numbers.

F(9) = 61

Use the table here to answer the questions below.
1) Explain what Pablo did in each step of his work.
2) Explain what Karla did in each step of his work.
3) Are Pablo and Karla correct?
Please help due today!!

Answers

1. Pablo Used the Commutative property to Reorder the terms.

2. Pablo then Combined all his like terms.

3. Pablo then Divided 21 by 3x to get 3(7+x)

4. Pablo then subtracted 7 from 13

5. He got x = 6
Pablo did his math wrong.

Karla Did her work correct.

1. Karla used the commutative property to reorder the terms

2. she then combined her like terms

3. She subtracted 21 from itself and 39, leaving 3x and 18 on different sides of the equal sign

4. She divided 3x by 3 which equals x and 18 by 3 which equals 6.

5. Karla is correct.

Answer:

Pablo Used the Commutative property to Reorder the terms. Pablo then Combined all his like terms. Pablo then Divided 21 by 3x to get 3(7+x). Pablo then subtracted 7 from 13. He got x = 6

Pablo did his math wrong.

Karla Did her work correctly. Karla used the commutative property to reorder the terms. She then combined her like terms. She subtracted 21 from itself and 39, leaving 3x and 18 on different sides of the equal sign. She divided 3x by 3 which equals x and 18 by 3 which equals Karla is correct.

Step-by-step explanation:

How do I do this I tried and still don’t get it

Answers

Answer:

y=0

y=2

y=4

y=6

y=8

next your y's is

0

1

2

3

4

Your x,y is

0,0

1,2

2,4

3,6

4,8

Explanation

So for each X you must multiply by 2

to find your Y


What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22 meters per second.

Step-by-step explanation:

374 divided by 17 = 22.

Answer:

22

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

Step-by-step explanation:

hope this helps and if ur feeling genous mark brainliest

What is the answer to this?

Answers

Answer:

C

High Hopes^^

Barry-

What is the coefficient

Answers

Answer:

5, the one with the variable.

is the coeficiant

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The coefficient is always before the variable. It's always going to be a number.

HURRY LOTS OF POINTS!!

Answers

Answer:

they are going to half to sell 100 tickets. 5 times 100 is 500

Step-by-step explanation:

pls make me brainliest

Answer:

500

Step-by-step explanation:

Suppose that you plan on taking a dimmer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling 225 magazine subscriptions?

Answers

Answer:

$1243.75

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

What is the value of n?
What is the value of n?

Answers

Answer:

42

Step-by-step explanation:

You get 42 by looking at the denominators 7 and 21. You times by 3 to get from 7 to 21, so you times 14 by 3 to get n, which is 42.

Answer:

42

Step-by-step explanation:

On the bottom 7 was multiplied by 3 so you would do the same to 14.

A turtle traveled
1/10 miles in 1/2 hour. What was the turtle's rate in miles per hour?

A: 1/20
B: 1/12
C: 1/6
D: 1/5


Answers

2/10 ———> simplified is D. 1/5

The turtle's rate in miles per hour is 1/5 miles/hr.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a turtle traveled 1/10 miles in 1/2 hour.

Rate is defined as the distance travelled in a unit hour {1 hour}.{R} = x/t.

We can write the rate as -

{R} = (1/10)/(1/2)

{R} = (1/10) x 2

{R} = 1/5 miles/hr

Therefore, the turtle's rate in miles per hour is 1/5 miles/hr.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

is -9/3 a rational number

Answers

Answer:

no

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: The rational numbers include all positive numbers, negative numbers, and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals, and repeating decimals are all rational numbers.

Which property of real numbers is shown below?
3+ ((-5) + 6) = (3 + (-5)) + 6
commutative property of addition
identity property of multiplication
associative property of addition
commutative property of multiplication

Answers

Answer:

the answer is associative property of addition

Step-by-step explanation:

the things is no matter how you switch out the numbers you will have the same income.

Answer:

If I am not mistaking it would be identity property sorry if I am wrong

Step-by-step explanation:

May I please have brainly i will almost finish my circle for brainlys please

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