Answers
Answer:
option C, x=1
Step-by-step explanation:
[tex]2^{9x-3} = 8^{3-x}[/tex]
[tex]2^{9x-3} = (2^3)^{3-x}[/tex]
[tex]2^{9x-3} = 2^{9-3x}[/tex]
cut 2 from LHS and RHS you will get,
9x-3 = 9-3x
9x + 3x = 9 + 3
12x = 12
x = 12/12
x = 1
therefore, option C is the correct option
hope it helps you!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 1}}}}[/tex]
Option C is correct.
Step-by-step explanation:
[tex] \text{First ,\: let's \: know \: about \: exponential \: equation} : [/tex]
Exponential EquationAn equation in which variables appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :
If [tex] \sf{ {a}^{x} = {a}^{b} }[/tex] , then x = bIf aˣ = 1 , then aˣ = a⁰ and x = 0Thus , while solving an exponential equation, we should simplify the equation till the equation is obtained in the form [tex] \sf{ {a}^{x} = {a}^{b}} [/tex] or aˣ = 1 .
Now, let's start to solve :
[tex] \sf{ {2}^{(9x - 3)} = {8}^{( 3 - x)}} [/tex]
➸ [tex] \sf{ {2}^{9x - 3} = {2}^{3(3 - x)} }[/tex]
➸ [tex] \sf{ {2}^{9x - 3} = {2}^{9 - 3x}} [/tex]
➸ [tex] \sf{ \cancel{2} ^{ \: 9x - 3} = \cancel{2} ^{ \: 9 - 3x} }[/tex]
➸ [tex] \sf{9x - 3 = 9 - 3x}[/tex]
➸ [tex] \sf{9x + 3x = 9 + 3}[/tex]
➸ [tex] \sf{12x = 12}[/tex]
➸ [tex] \sf{ \frac{12x}{12} = \frac{12}{12}} [/tex]
➸ [tex] \boxed{ \sf{x = 1}}[/tex]
The value of x is 1 .
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Related Questions
Can you Help me out?!
Answers
Answer:
3/4
Step-by-step explanation:
Hope this helps ;)
Please mark me as the Brainliest ;)
if 2x – 1 is a factor of 16x4
24x3 + 2x + f, find f.
Answers
Answer:
f = -5
Step-by-step explanation:
If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.
If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.
2x - 1 = 0
2x = 1
x = 1/2
Hence
f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f
= 16(1/16) + 24(1/8) + 1 + f
= 1 + 3 + 1 + f
= 5+ f
f = -5
As the exponent on the base 10 increases, does
the standard notation number get larger or
smaller in value? Explain why.
Help Please
Answers
Answer:
Since the exponent on 10 is positive, I know they are looking for a LARGE number, so I'll need to move the decimal point to the right, in order to make the number LARGER. Since the exponent on 10 is "12", I'll need to move the decimal point twelve places over.
First, I'll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:
3.6 _ _ _ _ _ _ _ _ _ _ _ .
Then I fill in the loops with zeroes:
3.600000000000.
In other words, the number is 3,600,000,000,000, or 3.6 trillion
Step-by-step explanation:
[tex]10^{x}[/tex]
Where:
10 = Base 10
x = Exponent
When the exponent on the base 10 increases, the standard notation number gets larger in value. This is because the exponent is directly proportional to the size of the standard notation of the number.For example:
[tex]10^{2} = 100[/tex]
[tex]10^{3} = 1000[/tex]
[tex]10^{8} = 100000000[/tex]
To learn more, visit the link below:
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click on the pic and help asap
Answers
Answer:
41°
Step-by-step explanation:
180°- 63° - 76° = 41°
hellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppp
Answers
Answer:
A has 25 yd on each side and B has 16 ft each side. Please mark Brainliest since I was the first one to respond
Step-by-step explanation:
Answer: (a) 25yd.
(b) 8 ft
Step-by-step explanation:
(a) Since each side of the square are equivalent and there are four sides of a square. So you do 100÷4=25
(b)The formula for a square is A=bh.
Since 8x8=64.
what is the greatest common factor shared by 51 and 21
Answers
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
o 2
o 3
o 4
o 5
Answers
Please help I’m confused. Thanks ;)
Answers
Answer: a. AB = 15cm long. b. AB = 11.1cm long. c. AB = 3/5cm long.
d. AB = 3 cm long.
Step-by-step explanation:
how far does alex swim
Answers
Answer:
24 meters
Step-by-step explanation:
Helpppppp it’s middle school stuff
Answers
Answer: Melendez
Step-by-step explanation:
If you divide the amount of water each family uses by the ammountof people in the family, melendez has the lowest per person.
You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup
Answers
Answer:
A
Step-by-step explanation:
how I solved it was 4x3=12
Answer:
A.
Step-by-step explanation:
That is 1/4 * 1/3 = 1/12,
Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD 8
Answers
Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8
Step-by-step explanation: It is simple math-
how many solutions does a independent system of equations have?
Answers
Answer:
one solution
An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.
Step-by-step explanation:
PLEASE HELP!! Brainliest to first answer
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation() = −5^2 + 20 + 4. Where t is time in seconds and f(t) is height in feet. Find how long it will take the arrow to hit the ground using an algebraic method. Round to the nearest tenth if necessary. Show all of your reasoning used with this algebraic method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how long it takes for this to occur using an algebraic method. Show all of your reasoning used with this algebraic method. Round to the nearest tenth if necessary.
Answers
Answer:
The arrow will take 4.19 seconds to hit the ground
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
Step-by-step explanation:
The quadratic function is f(t) = -5t² + 20t + 4, where
f(t) is the height in feet
t is the time in seconds
If the arrow hit the ground that means h(t) = 0
→ Substitute h(t) by 0 and use the quadratic formula to find t
∵ h(t) = 0
∴ 0 = -5t² + 20t + 4
→ Switch the two sides
∴ -5t² + 20t + 4 = 0
→ Multiply all terms by -1 to make the coefficient of t² positive
∴ 5t² - 20t - 4 = 0
→ The quadratic formula is [tex]t=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex] , where
a is the coefficient of t²b is the coefficient of tc is the numerical term∵ a = 5, b = -20, c = -4
∴ [tex]t=\frac{-5+-\sqrt{(-20)^{2}-4(5)(-4)}}{2(5)}[/tex]
∴ [tex]t=\frac{-5+-\sqrt{400+80}}{10}[/tex]
→ Find the values of t in decimal
∴ t = 4.19 seconds OR t = -0.19 ⇒ refused because it is negative
∴ The arrow will take 4.19 seconds to hit the ground
The graph of this quadratic function is a parabola with maximum vertex (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = f(h)To find the maximum height and the time taking for this to occur find h and k where k is the maximum height and h is the time for this to occur
∵ f(t) = -5t² + 20t + 4
∵ a = -5 and b = 20
∴ h = [tex]-\frac{20}{2(-5)}=-\frac{20}{-10}=2[/tex]
∴ The time for the maximum height is 2 seconds
→ Now use it to find k
∵ k = f(h)
∴ k = f(2)
∵ f(2) = -5(2)²+ 20(2) + 4
∴ f(2) = -5(4) + 40 + 4
∴ f(2) = -20 + 40 + 4
∴ f(2) = 24
∴ k = 24
∴ The maximum height is 24 feet
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
slope-intercept from two points (4,-8) and (8,5)
Answers
Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
________
Answered by James
How do you do long division
Answers
Answer:
look at links below
Step-by-step explanation
What is equivalent to ³√27a³b⁷
Answers
Answer:uu
Step-by-step explanation:
Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?
Answers
Answer:
$7.80
Step-by-step explanation:
$2.60 * 3 = $7.80
Translate this sentence into an equation.
Goran's height increased by 13 is 48.
Use the variable g to represent Goran's height.
Answers
Answer:
g+13=48
Step-by-step explanation:
multiple of 3 between 2 and 20
Answers
Answer:
6, 9, 12, 15, and 18
Step-by-step explanation:
3,6,9,12,15,18 .
Please give me thanks if this helped.
Order decimals from least to greatest .. 1.09, 1.901,1.9,1.19
Answers
Answer:
1.09,1.19,1.9,1.901
Answer:
1.09, 1.19, 1.9 ,1.901
Step-by-step explanation:
Please help me :( someone anybody just once I won’t ask again
Answers
Answer:
1) 77
2) -11
3) -11
4) 7
5) 29
Step-by-step explanation:
Just sub the x into the equation.
*I recommend checking my answers, but this is what I would put/
Multiply. Express your answer in simplest form.
5/6 x 15
Answers
Answer: 12 1/2
Step-by-step explanation:
choose the best decimal equivalent to 14/25.
Answers
Answer:
0.56
Step-by-step explanation:
To find the decimal equivalent, we can divide the numerator and denominator together.
14 ÷ 25 = 0.56
Best of Luck!
What is (5+3i) - (2-8i) give your answer in standard form
Answers
Answer:
5+3i-2+8i
(5-2)+(3+8)i
3+11i
In the table shown, the ratio of miles biked to hours biked is constant.
Answers
Answer:
B
Step-by-step explanation:
You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.
The proportion 44/4=m/7 can be used to determine the value of m.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of miles biked to hours biked is constant.
The given table is
Miles biked 11 44 m 132 165
Hours biked 1 4 7 12 h
We have to find the value of m.
m is the number of miles biked in 7 hr.
By using the proportion we can find m.
44/4=m/7
11=m/7
Apply cross multiplication
m=77
Hence, the proportion 44/4=m/7 can be used to determine the value of m.
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If you bring 2 pairs of shoes, 10 items of regular clothes, and 2 coats, how much will your bag weigh?
Answers
The weight of the bag =
Weight of 2 pairs of shoes + weight of 10 items of regular clothes + weight of 2 coats.
What is weight?A weight characteristic is a mathematical tool used when appearing a sum, critical, or average to provide some factors extra "weight" or impact on the result than different factors within the equal set.
What is the value of weight?
Weight Value is the basis of the overall progress calculation processes used to determine the weight of each phase in the project. It is measured based on the distribution of weight values and obtained by multiplying the weight value of each task in the project.
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What are parallel lines cut by a transversal?
Answers
What is the slope of the line that passes through the points (-2, -1)
and (2, -3)? Write your answer in simplest form.
Answers
Plug this into the formula y2 - y1 / x2 - x1
-2 = x1, x2 = 2, y1 = -1, y2 = -3
-3 - (-1) / 2 - (-2)
-2 / 4
-1/2
The slope is -1/2.
Which number is equivalent to the fraction 15/7? 2
2 1/7
7/15
1 8/7
Answers
Answer:
2 1/7
Step-by-step explanation:
Answer:
2 1/7, is 15/7(improper fraction) as a mixed fraction, and
1 8/7 is an improper mixed fraction equivilent to 2 1/7.
Step-by-step explanation:
15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7