Identify the solution set of 3 In 4 = 2 In x.
0 {6}
O {-8, 8)
O {8}

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x  ( x > 0 )

ln [tex]4^{3}[/tex] = ln [tex]x^{2}[/tex]

x² = 4³

x² = (2³)²

x = ± 2³

[tex]x_{1}[/tex] = 8

[tex]x_{2}[/tex] = - 8 ( strange root, does not satisfy the domain of given function )

x = 8


Related Questions

reciprocal of 4 3/5 ​

Answers

Answer:

5/23 (Simplified)

Step-by-step explanation:

There ya go.. :D

5/23 ..................

IF FGH = QRS, find the measure of

Answers

Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

please mark me as the brainliest

Solve this system by elimination
10x+6y=14
-x-6y=-23

Answers

Answer:

(-1, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

Add 2 equations together:                    9x = -9Divide 9 on both sides:                          x = -1

Step 3: Solve for y

Define original equation:                    -x - 6y = -23Substitute in x:                                     -(-1) - 6y = -23Multiply:                                                1 - 6y = -23Subtract 1 on both sides:                     -6y = -24Divide -6 on both sides:                      y = 4

Find the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5
percent per year, compounded quarterly.
Your answer is t =
years.

Answers

Answer:

i think its 3.5 years

Step-by-step explanation:

5 < k -2 < 11 ?
-4 > y + 2 > -10 ?
5 -m < 4 or 7m > 35 ?
3 < 2p -3 < 12 ?

Answers

Answer:

[tex]7 < k < 13[/tex]

[tex]-6>y>-12[/tex]

[tex]m > 5[/tex]

[tex]3 < p < \frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]5 < k -2 < 11[/tex]

[tex]-4 > y + 2 > -10[/tex]

[tex]5 -m < 4\ or\ 7m > 35[/tex]

[tex]3 < 2p -3 < 12[/tex]

Required

Solve

Solving (1):

[tex]5 < k -2 < 11[/tex]

The above can be represented as:

[tex]5<k -2[/tex] and [tex]k -2<11[/tex]

Solving [tex]5<k -2[/tex]

[tex]5 + 2 <k[/tex]

[tex]7<k[/tex]

Solving [tex]k -2<11[/tex]

[tex]k < 2 + 11[/tex]

[tex]k < 13[/tex]

So, we have:

[tex]7<k[/tex] and [tex]k < 13[/tex]

This can be combined as:

[tex]7 < k < 13[/tex]

Solving (2):

[tex]-4 > y + 2 > -10[/tex]

Split as:

[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]

Solving [tex]-4 > y + 2[/tex]

[tex]-4 - 2 > y[/tex]

[tex]-6 > y[/tex]

Solving [tex]y + 2 > -10[/tex]

[tex]y > -10 - 2[/tex]

[tex]y > -12[/tex]

So, we have:

[tex]-6 > y[/tex] and [tex]y > -12[/tex]

This gives

[tex]-6>y>-12[/tex]

Solving (3):

[tex]5 -m < 4\ or\ 7m > 35[/tex]

Solve for m in both cases:

[tex]5 - m < 4[/tex]

[tex]-m<4 - 5[/tex]

[tex]-m<- 1[/tex]

[tex]m > 1[/tex]

[tex]7m > 35[/tex]

Divide both sides by 5

[tex]m > 5[/tex]

So, we have:

[tex]m > 1[/tex] or [tex]m > 5[/tex]

The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]

Solving (4):

[tex]3 < 2p -3 < 12[/tex]

The above can be represented as:

[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]

Solving [tex]3 < 2p - 3[/tex]

Add 3 to both sides

[tex]3 + 3 < 2p - 3 + 3[/tex]

[tex]6 < 2p[/tex]

Divide both sids by 2

[tex]3 < p[/tex]

[tex]2p - 3<12[/tex]

Add 3 to both sides

[tex]2p - 3 + 3 < 12 + 3[/tex]

[tex]2p < 12 + 3[/tex]

[tex]2p < 15[/tex]

Solve for p

[tex]p < \frac{15}{2}[/tex]

So, we have:

[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]

Combined as:

[tex]3 < p < \frac{15}{2}[/tex]

3. Which of the following objects does not have three dimensions?

a cube

a house

a soda can

a line

Answers

Line because a line is not 3-D

9. SHOW FULL STEPS. Solve for f(-4) and f(7) of the function below
f(x)=7-2x-3x²​

Answers

Answer:

f(-4) = 33

f(7) = -154

Step-by-step explanation:

In this question, you will solve the function by plugging in the given value.

Solve:

f(-4) = 7 - 2(-4) -3(-4)²​

= 7 - 2(-4) - 48

= 7 + 8 - 48

= 7 - 40

f(-4) = 33

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

f(7) = 7 - 2(7) -3(7)²​

= 7 - 2(7) - 147

= 7 - 14 - 147

= 7 - 161

f(7) = -154

Hello!!:)
Please help me answer 7-10 will give brainlst <3

Answers

Answer:

7. Slope = -7/4

8. Slope = 2

9. Second Point = (0, 0)

10. Second Point = (0 ,-5)

Step-by-step explanation:

Find the slope: Slope Formula = y2-y1/x2-x1

7. (2, 4) and (6, -3)

x1,x2 = (2, 4) y1,y2 = (6, -3)

(-3 - 4)/(6 - 2)

-7/4

8. (-5, 1) and (-1, 9)

x1,x2 (-5, 1) y1,y2 (-1, 9)

(9 - 1)/(-1 - (-5))

8/4

2

Second Point on Line:

9. We know: slope = 1/2, and (2, 1) is on the line; So:

y = 1/2x + b where we have to still find b

so b = y1 - m * x1

b = 1 - 1/2 * 2

b = 1 - 1

b = (0,0)

If you plug this in to the slope formula, it comes out to 1/2

10. We know: slope = -4, and (-3, 7) is on the line; So

y = -4x + b where we have to still find b

so b = y1 - m * x1

b = 7 - (-4) * -3

b = 7 - 12

b = (0,-5)

If you plug this in to the slope formula, it comes out to -4

4. Tonya bought each of her two sisters
a new basket. She spent $27.94.
How much was each basket?
F $9.31
H $18.21
G $13.97
J $55.88

Answers

Answer:

G

Step-by-step explanation:

you just divide the number by 2

Need help quickly, please and thank you;

Answers

f(x) = y = -1/3x + 0
g(x) = y= -1/3x - 3

I don’t think that you have to include the y in the equations. It really depends on what your teacher wants. ;)

Hope this helps✨❤️
Merry Early Christmas!

Amy loaned \$5$5dollar sign, 5 to each of 202020 people. She recorded each loan by writing -\$5−$5minus, dollar sign, 5 in her bank book.What is the total change in the amount of money Amy had before the loans?

Answers

Answer:

-30

Step-by-step explanation:

Answer:

its actually -100 in khan academy

Step-by-step explanation:

The box by players performed the lion king 3 times to a sold out theater. Tickets cost $19 each. And ticket sales totaled $7068. How many people saw the show each night?

Number of tickets sold:

Number of people in the audience each night:

Answers

Answer:

Number of tickets sold: 372

Number of people each night: 124

Answer:

Number of tickets sold:

372

Number of people in the audience each night:

Roughly 124 per night

Which equation is equivalent to x + 8 = 21? (x + 8) × 4 = 21 (x + 8) × 4 = 21 ÷ 4 (x + 8) × 4 = 21 × 2 (x + 8) × 4 = 21 × 4

Answers

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

PLEASE HELP ME I NEED HELP ASAP

Answers

Answer:

Option 4

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

When you have an equation like that that you have to graph, thing of 1/4 as rise/run. The nominator (1) will be moving up and down, and the denominator will be going side to side. So for this question, since the y-intercept is 0 (since there is no B), we start at zero. Then we go up 1, and to the right 4, since this equation is positive. If 4 is negative, then you would be going to the left 4.

Solve the two-step equation 5x + 6 = 26

A. x = 6

B. x = 5

C. x = 32/5

D.None of the above

Answers

Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation:

Cassidy has a bag of 72 red beads and 90 blue beads. She would like use the beads to make bracelets that have the same ratio of red to blue beads as in the bag. If a bracelet has 15 blue beads, how many red beads does it have? *

Answers

Answer:In a question like this, you are trying to find the Highest Common Denominator, or HCF. This can be done manually, by finding all the factors of 42

(

1

,

2

,

3

,

6

,

7

,

14

,

21

,

42

)

, all the factors of 72

(

1

,

2

,

3

,

4

,

6

,

8

,

9

,

12

,

18

,

24

,

36

,

72

)

, and comparing them to see that their HCF is

6

. Or, it can be done by dividing both numbers,

=

72

42

, simplifying the fraction

=

12

7

, then dividing the starting number with the new simplifiied number, remembering always to divide numerator with numerator and denominator with denominator.

72

12

=

6

or

42

7

=

6

This process works with any two numbers which you want to find the HCF of, and can be simplified into this rule:

If

a

=

any number,

b

=

any number and

c

d

is the simplified fraction of

a

b

,

The HCF

=

a

c

or

=

b

d

I hope that helped!

Step-by-step explanation:

84/12 = 28/x

Please select the best answer from the choices provided.

A: x = 4
B: x = 28
C: x = 12
D: x = 7​

Answers

84/12 = 7.

Hence 28/x = 7 and x = 4. (A)

84/12 =7
28/x =7
28/7 =x
X= 4

I need help please thanks

Answers

Answer:

12

Step-by-step explanation:

12

Which is greater -3.7 or -3 2/5

Answers

Answer:

-3 2/4 is greater that -3.7

Step-by-step explanation:

2/4 is 0.4 and when dealing with negatives so the lower negative is the closest to 0 so the smaller negative is the greatest.

A TV has an original price of $449. Enter the new price after the given percent of change. 40% increase

Answers

Answer:

628.6

Step-by-step explanation:

answer: $628.6

40% of 449 is 179.6

179.6 + 449 = 628.6

4y+36=128 solve the equation

Answers

Answer:

128÷ 36=92

92÷ 4=23

y=23

Ben Lee earns $86,720 annually. What is his semimonthly pay

Answers

Answer:

$3,998 would be the semi monthly pay.

Someone can help, I really don't understan

Answers

Answer:

B

Step-by-step explanation:

we take 18.90 and subtract 2.95.

now we have 15.95

then divide 15.95 by 5

and now we have 3.19

Answer I think it’s b

Select all the equations that have the same solution as 2x - 5 = 15
A
2x = 10
B
2x = 20
C С
2(x - 5) = 15
D
2x - 20 = 0
E
43 - 10 = 30
F 15 = 5 – 22

Answers

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

Can someone please help

Answers

I need points lol ,, i hope you find your answer i guess .

Mr. Chen is painting one wall of a room in his attic. He needs to detemine the area of the wall so he will know how much paint he will buy. The drawing below shows the dimensions of the wall.







Part A: Given the drawing, what is the area of the wall?



The area of the wall is

square feet.


Part B: If one quart of paint will cover 22 square feet, how many whole quarts will Mr. Chen need to buy?



He will need to buy
whole quarts.

Answers

Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

Answers

Most likely 1/4, (25%)

Sorry if I’m wrong, hope this helped
Explanation: In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36. n(E) = 27.

MADEAAA HELPPPPPPPPPPPPP MEEEEEEEEE

Answers

Answer:

7 inches

Step-by-step explanation:

problem 1. 2/8-2/4+8/16
problem 2. 8/16-1/4+8/16

Answers

Answer:

1: 4/16 or simplified to 1/4

2: 12/16 or simplified to 3/4

Step-by-step explanation:

Hope this helps

You choose at random two cards from a standard deck of 52 cards. What is the probability of
getting a ten and hearts?​

Answers

Answer:

0.24

Step-by-step explanation:

in a deck of cards there are 13 heart cards

use formula of probability

favourable outcome /total number of outcomes

13/54

=0.24

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