is there an error in the work and is the answer extraneous? if so why?
Answer:
x = 4
Step-by-step explanation:
log₃[1 + log₃(2ˣ - 7)] = 1
log₃[1 + log₃(2ˣ - 7)] = log₃(3)
1 + log₃(2ˣ - 7) = 3
log₃(2ˣ - 7) = 2
log₃(2ˣ - 7) = log₃(3)²
2ˣ - 7 = 9
2ˣ = 9 + 7
2ˣ = 16
2ˣ = 2⁴
x = 4
By putting x = 4 in the original equation,
log₃[1 + log₃(2⁴ - 7)] = 1
log₃[1 + log₃(16 - 7)] = 1
log₃[1 + log₃(9)] = 1
log₃[1 + log₃(3)²] = 1
log₃[1 + 2] = 1
log₃[3] = 1
1 = 1
Therefore, x = 4 is not the extraneous solution and there is no error in your answer.
GUYS HELP HELP HELP PLEASE HELP
The sides of a rectangle are in the ratio of 6:5. The perimeter is
132cm. What is the length of the longest side?
Help please.
Someone please help me with this question
Find the solution to the equation.
7m = 112
Answer:
m= 16
Step-by-step explanation:
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)?
---square units
Answer:
35 units
Step-by-step explanation:
edg
the side lengths of a triangle are 6,8 and 10 is this a right triangle
Answer:
Hi friend I am new can you show me how post question pls
Step-by-step explanation:
Factor completely: 2x^3-12x^2+18x
Answer:
2x(x - 3)²
Step-by-step explanation:
We can simplify this a lot by first factoring 2x out of each term:
2x³ - 12x² + 18x
= 2x(x² - 6 + 9)
We can then factor the trinomial fairly easily, as it's a perfect square:
= 2x(x - 3)²
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
I Need help ASAP.(please )
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT PLS DONT GET WRONG IF U DONT KNOW
Answer:
C) x = 9
Step-by-step explanation:
6/4 = x/6
4x = 36
x = 9
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=7°, and NO = 3.4 feet. Find the length of OP to the nearest tenth of a foot.
Answer:
0.4
Step-by-step explanation:
I did it on deltamath
Answer:
x=0.4144≈0.4 feet
Step-by-step explanation:
Deltamath
If I have a meal that cost 6.14 and I have $8 how much change do I get
Answer:
8-6.14= 1.86
That's what you get
Answer:
you would get $1.86 back
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
You are organizing a school banquet. You spend $82 on decorations. Dinner will cost $13 for each person that attends. In the equation y=13x+82, y is the total cost of the banquet for x people. Complete the solution (69,?) to find the cost for 69 people.
Answer:
(69,979)
Step-by-step explanation:
In the coordinates, x is represented as 69. We can now insert this into the equation.
y = 13x + 82
Now to insert x.
y = 13(69) + 82
Now we can multiply 13 by 69.
13*69 = 897
Now fix the equation.
y = 897 + 82
Now add to get our y.
897 + 82 = 979
Substitute into the equation.
y = 979
And there is our answer. We now need to put this into the coordinates.
And we get our final answer of (69,979).
Hope this helps. Have a nice day.
There are 568 kiloliters of soup in a pot. How many liters of liquid did the chef use for this recipe?
.568 L
5.68 L
568,000 L
5,680 L
HELLLP
Answer:
568,000L
Step-by-step explanation:
1 Kiloliter = 1,000 Liters
568 x 1,000 = 568,000
Help me with this!! Will mark Brainliest!!!
Answer:NO!!
Step-by-step explanation:
RS distance of 2 while TU distance of 1
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
factorize 4x^3 -8x^2- 12x
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
Multiply the following Polynomial Expressions.
( 2x – 6) ( 3x2 + 4x - 2)
Answer:
24
Step-by-step explanation:
How many different 5-digit PIN codes are there that only include the digits 7, 2, 4, 6, 9 and 3?
Answer:
720
Step-by-step explanation:
6*5*4*3*2=720
please please help me with number 28 i’ll mark b
Answer:
both
Step-by-step explanation:
given sss, you will need to use Law of Cosines.
However, one you get one of the angles, the easiest way to solve for the second angle is to just use law of sines.
When rounding to the nearest hundred thousand what is the greatest whole number that rounds to 400,000
Answer:
449,999
Step-by-step explanation:
Given that:
Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :
To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.
The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;
400,000 (nearest hundred thousand).
What is the area of triangle ABC
Answer:
A = 24 cm²
Step-by-step explanation:
The area (A) of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × AB × AC
Calculate AC using Pythagoras' identity
AC² + AB² = BC²
AC² + 6² = 10²
AC² + 36 = 100 ( subtract 36 from both sides )
AC² = 64 ( take the square root of both sides )
AC = [tex]\sqrt{64}[/tex] = 8
Then
A = 0.5 × 6 × 8 = 24 cm²
Anything raised to a power of zero is always:
Answer:
1
Step-by-step explanation:
u cant really multiply anything so it 1
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).
Answer: -50x^3 - 25x^2 - 110x - 55
Step-by-step explanation: brainliets if its right
Grant walks 4/5 of a mile in 1/4 hour. What is his ratio of miles to hours in simplest form?
Answer:
You can always ask the tutor they give the correct answer :))
The diagram shows a circle contained in a square. What is the simplified ratio of the area of the circle to the area of the square?
Answer:
π/4Step-by-step explanation:
We have a = 2r
Area of square:
A₁ = a² = 4r²Area of circle:
A₂ = πr²Ratio:
A₂/A₁ = πr²/4r² = π/4Answer:
π/4
Step-by-step explanation:
Hope this helps
last year, 15 dogs entered the local dog show. this year, 27 entered. what is the percent increase?
Answer:
80%
Step-by-step explanation: