lg(5x+10)+2lg3=1+lg(4x+12)
need them fast with steps

Answers

Answer 1

Answer:

x=6

Step-by-step explanation:

log(5x+10)-log(4x+12)=1-2log(3)

log(5x+10/4x+12)=1-2log(3)

log(5x+10/4x+12)=log(10)+log(3^-2)

log(5x+10/4x+12)=log(10×3^-2)

log(5x+10/4x+12)=log(10×1/9)

log(5x+10/4x+12)=log(10/9)

5x+10/4x+12=10/9

9(5x+10)=(4x+12)10

45x+90=40x+120

5x=30

x=6

if you like my answer. Please mark me as brainliest


Related Questions

Alex drives at a speed of 60 miles per hour.
How long will it take to drive 330 miles?

Answers

Answer:

5.5 miles

Step-by-step explanat

330 mph / 60 mph = 5.5 mph

Answer:

5 hours and 30 minutes

Step-by-step explanation:

QUICK WILL MARK BRAINLIEST!!!

Jack was working on shooting free throws the ratio of the number of baskets made to the number of baskets missed was 10:6. Select ALL equivalent that represent the number of baskets jack made to the number of baskets jack missed

Answers

Answer:

The Second, Fourth, and Fifth points on the graph

Finn, Jeff, Kevin

Step-by-step explanation:

hopefully this helped, if not HMU and I will get a better answer

2 points
Rheese bought a new car for $17.500. The value of the car is depreciating at a rate of 4.6%
each year. How much would the car be worth in 4 years?
$20,949.07
$79,515.07
$1,488.03
$14,495.44
$14,253.86
quation of the asymptote for the given
Doint

Answers

Given:

Initial value of new car = $17,500

Depreciation rate = 4.6%

To find:

The value of car after 4 years.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

where, a is initial value, r is decreasing rate and t is time in years.

Substitute a=17500, r=0.046 and t=4 in the above equation.

[tex]y=17500(1-0.046)^4[/tex]

[tex]y=17500(0.954)^4[/tex]

[tex]y=17500(0.8283111)[/tex]

[tex]y=14495.44425[/tex]

[tex]y\approx 14495.44[/tex]

The value of car after 4 years is $14495.44.

Therefore, the correct option is D.

help with math question !!!

Answers

Answer:

The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

Step-by-step explanation:

We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]

The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

We are given b=6 and a=-5

We need to find f(b) and f(a)

Finding f(b)

Putting x= 6 to find f(b)

[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]

So, f(b)=19

Now finding f(a)

Putting x= -5 to find f(a)

[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]

So, f(a)= 30

Finding average rate of change

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]

Average rate of change = -1

So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

Can you help me with this? 5

Answers

it’s “ a “ hope that helps !

Could triangle ABC be congruent to ADC by SSS? Explain

Answers

Answer: it’s C

Step-by-step explanation:

Answer: A

Step-by-step explanation:

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow? StartFraction 2 over 25 EndFraction One-fifth One-fourth Two-fifths

Answers

Answer:

b

Step-by-step explanation:

i did it

Answer:

b. 1/5

Step-by-step explanation:

i took the unit test on edge

how many millimeters equal 40.7 cm?

Answers

Answer:

407

Step-by-step explanation:

Answer please
Fast



Fast

Answers

Answer:

A. 228.5

B. 10

Step-by-step explanation:

A. Since x represents the number of months, replace x with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.

B. You need to solve for x by switching the signs in the equation. Set the original equation (29x+54.5) equal to 344.50. To solve for x, first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing x in the original equation with 10, and if you get 344.5, your answer is correct.

Good luck :)

8 equal sized boxes of trinkets are delivered to Jess home and all the trinkets are unloaded into one pile. Jess adds 14 of her own trinkto the pile. The trinket are then equally divided into 6 piles. Jess determines that each pile contains 9 trinkets. (Write an equation and solve the equation to find the number of trinkets that were originally in each of the 8 delivery boxes)

Answers

Answer:

now lemme answer this. u did the same to me.. came to my question and answered wrong i mean nothing.

revenge

2. Write an algebraic
expression to represent
two less than a

Answers

Answer:

a-2

Step-by-step explanation:

Answer : x - 2

x is the number & -2 would go with “2 less than a number”

Find the slope of the line that passes through (5,8) and (2,3).

Answers

Answer:

(-5,-3)

Step-by-step explanation:

y values minus y values over x values minus x values

Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.

Answers

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

Answer:

c

Step-by-step explanation:

f(x) = 2x - 4; g(x) = { f(x)

Answers

Answer:

Step-by-step explanation:

subtract the divied

What is the answer for this: f(x)=-5+1​

Answers

Answer:

1 * -4 = -5 + 1

Step-by-step explanation:

6x + -2 =16 solve for x

Answers

Answer:

3

Step-by-step explanation:

+2 =18

18/6 =3

Answer:

x=3

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

A number increased by 5

Answers

Answer:

if number was represented by x it would be x+5

Step-by-step explanation:

An item has a listed price of $40. If the sales tax rate is 8% how much is the sales tax (in dollars)

Answers

Answer:

The sales tax will be $3.20

Step-by-step explanation:

Roger owes his father $15. He borrows another $25 from him. What integer represents the balance that he owes his father?

Answers

The answer is negative -40

The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.

What is an integer?

it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is given that:

Roger owes his father $15. He borrows another $25 from him.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The amount Roger owes = $15

Roger borrows = $25

Total debt = -15 + (-25)

Total debt = -$40

The above integer represents the balance that he owes his father.

Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.

Learn more about the integer here:

https://brainly.com/question/15276410

#SPJ2

How many terms are there in the following expression: 3a + 3ab + 7b – 2c – 4d?
5
9
7
1

Answers

Whatever the person on top

Answer: 5

             eergrwergtrw  

please can you answer this ASAP

Answers

Answer:

x = 2

Step-by-step explanation:

[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2[/tex]

Answer X-2 hope this helped

What is the correct answer for both? ​

Answers

Answer:

11. C.

12. B.

Step-by-step explanation:

Factor them

definicion de hipotenusa

Answers

Answer:

La hipotenusa es el lado opuesto al ángulo recto en un triángulo rectángulo, resultando ser su lado de mayor longitud.

Step-by-step explanation:

Answer:

Lado opuesto al ángulo recto en un triángulo rectángulo.

Can someone please help me

Answers

it’ll be B, think about it logically, u have to make the fraction have the same denominator, then u have to do the opposite of the equation (here u have x + *the fraction* meaning u have take that fraction away from the total fraction)

Please help, I just started trig. Thanks!

Answers

Answer:

About 3.052 units

Step-by-step explanation:

I  presume you won't  need this explanation now,  but just in case;

If we draw triangle MNK, as  MN = NK we know is isosceles. Now let's draw an altitude to MK so that  it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.

Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);

sin(55°)= 2.5/MN,

x = 2.5/sin(55°) ≈3.052

Write three expressions that are equivalent to 2^6

Answers

Answer:

well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct

What is the slope of the line that passes through the point (-8,-4) and (4,-4)

Answers

Answer:

(x1y1)= (-8,-4)

(x2y2)= (4,-4)

here

slope= (y2-y1)/ (x2-x1)

= 0/ 12

= 0

Step-by-step explanation:

0

I need the answers to Numbers 1,2,3 and 4 please!!

Answers

1. Unit cost
18/3 = 6

2. When x = 1
In the graph I believe (1, 8)
Unit cost as 8

3. At Manglo since the unit cost is lower

4. 54/9 = 6
Noah runs 6 miles per day
Noah would win (5, 30)
Greta wins (5,45)
Greta wins more miles



PLEASE HELP WITH 19 AND 20, ONLY DESCRIBE THE TRANSFORMATIONS. I CAN GRAPH THEM. PLS HELP

Answers

19) stretched horizontal shifted 3 units left, and vertically shifted 5 units down

20) stretched vertically shifted 6 units up, and reflected in the x-axis

i hope this helps

How do you find a unit rate for $2.50 for 5 ounces

Answers

Answer:

You divide 2.50 by 5.

So 2.50/5 makes it $0.50 per ounce.

Answer: $0.50 for 1 ounce

Step-by-step explanation:

To find a unit rate, you have to find the cost for one. When we say it's $2.50 for 5 ounces, it's for 5, not 1. So we have to divide by 5.

2.50/5= 0.5 and 5/5=1

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