Applying exponential properties, the simplified base for the function is given as follows:
[tex]f(x) = 2(3)^{2x}[/tex]
What is the function?The function is represented by the following definition:
[tex]f(x) = 2\sqrt[3]{27^{2x}}[/tex]
As an exponent, the function is given by:
[tex]f(x) = 2(27)^{\frac{2x}{3}}[/tex]
27 can be simplified as follows:
27 = 3 x 3 x 3 = 3³
Hence:
[tex]f(x) = 2(3^3)^{\frac{2x}{3}}[/tex]
Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:
[tex]f(x) = 2(3)^{\frac{3 \times 2x}{3}} = 2(3)^{2x}[/tex]
Hence the simplified base for the function is given as follows:
[tex]f(x) = 2(3)^{2x}[/tex]
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What is the solution to the system of equations below?
y = two-fifths x minus 3 and x = –10
Answer:
y = 1
Step-by-step explanation:
Substitute -10 for x so the equation would be y=2/5-10-3
that would then be y=4-3
which would equal 1
Julie earns $9 each week as an allowance. If she spends $5 each week for lunch money and saves the rest, which expression shows how much money she will save in x weeks?
Answer:
(x)4
Step-by-step explanation:
(x) is the amount of weeks and 4 is the amount of money that is saved every week.
[
1
What is the distance between the points (-4, -8) and (10,-8)?
Need help
Answer:
2
Step-by-step explanation:
√(-8-8)^2 +(10+4)^2=
✓-32+28
✓4
=2
The ratio of dimes to quarters in a money bag is 12.2. If there are 8 quarters. How many dimes are there?
Answer:
98
Step-by-step explanation:
Given: The ratio of dimes to quarters in a money bag is 12.2
Also, there are 8 quarters.
To find: Number of dimes
Solution:
Number of dimes : Number of quarters = 12.2
Number of dimes : 8 = 12.2
Therefore,
Number of dimes = 12.2 × 8 = 97.6 ≈ 98
solve for x or find x
the answer is x= 4
AB and CD are the same length
8x-1 =31
8x=32
x=4
OMG, GUYSS please helppp this is due in like.. 10 mins.. will give brainliest, please also add an explanation... THANKYOU I LOVE YOU!!!!
House builders unload a large crate of bricks onto the bed of a truck. The bottom of the crate measures 1.0 m by 2.0 m, and the crate weighs 38 000 N. What pressure does the crate exert on the bed of the truck?
Answer:
19,000 pa.
Step-by-step explanation:
I hope this helps
can you please help me with this? 50pts if it's correct.
please help me with this
Answer:
Y=MX+C is the equations of a straight line where C is the constant (y intercept)
Looking at a and b and the two graphs c and d
The function c represents the lowest value of the y intercept which is at -3
If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons
and 18 juice boxes, what is the value of x?
Answer:
6
Step-by-step explanation:
Just write the amount of milk cartons and juice cartons as a fraction and simplify it
39/18 the biggest common divisor for this is 3 so we divide the fraction by 3
13/6 x = 6
how to divide 134 800 by 240 using long method?
Answer:
sumando
Step-by-step explanation:
sumando 240 134800 veces
help find value of y please
Answer:
The third option
Step-by-step explanation:
60+y=180
y=120
Answer:
y = 120
Step-by-step explanation:
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
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One direction or Jonas brothers (only one right answer)
Answer:
one direction
Step-by-step explanation:
of course one direction
if Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
A.9 kilometers/h
B.12 km/h
C.15 km/h
D.20 km/h
Answer:
C.15 km/h
Step-by-step explanation:
speed= distance/time
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
40 percent of what is 524
Answer:
1310
Step-by-step explanation:
Answer:
7.63
(Hope this helps! Btw, I am the first to answer.)
(3a+2.5b)^2=9a^2+6.25b^2+*
Please help before Thursday
Step-by-step explanation:
We have (x + y)² = (x + y)(x + y) = x² + 2xy + y².
Let x be 3a and y be 2.5b.
Therefore (3a + 2.5b)²
= (3a)² + 2(3a)(2.5b) + (2.5b)²
= 9a² + 15ab + 6.25b².
Hence the '*' sign should be replaced with 15ab.
Answer:
Given that, ( 3a + 2.5b )² = 9a² + 6.25b² + *
We know that, ( x + y )² = x² + y² + 2xy
According to the above problem, we get
( 3a + 2.5b )² = (3a)² + (2.5b)² + (2×3a×2.5b)
( 3a + 2.5b )² = 9a² + 6.25b² + 15ab
Therefore,
The sign " * " should be 15ab.
15ab is the right answer.A landscaping company charges customers a
one-time fee and an hourly rate of $10. For 1
hour of service, the company charges $35.
3. Which equation represents the total
charge t for h hours of landscaping?
Ot=10h
=10h+25
0
=250 + 10
Answer:
t = 10h +25
Step-by-step explanation:
let x be the one-time fee
hourly rate is $10
From given condition,
35 = x + 10*1
x = 35 - 10
x = 25
Therefore equation will be
t = 10h +25
Mariana is painting her new bedroom purple. She has decided to mix her own purple paint. To create the shade of purple she likes best, she must maintain a ratio of 5 ounces red to 6 ounces blue. If she has 21 ounces of blue paint, how much red paint will she need?
Answer:
Red paint needed = x = 17.5 ounces
Step-by-step explanation:
Ratio of red to blue paint = 5 ounces : 6 ounces
If she has 21 ounces of blue paint, how much red paint will she need?
Ratio of red to blue paint = x ounces : 21 ounces
Equate the ratios
5 : 6 = x : 21
5/6 = x/21
Cross multiply
5*21 = 6*x
105 = 6x
x = 105/6
x = 17.5 ounces
Red paint needed = x = 17.5 ounces
Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .
Complete Question:
Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.
Order the values of the differences from least to greatest.
Student: Raj. Difference (in.): 4/5
Student: Clara. Difference (in.): -1 1/2
Student: Jacob. Difference (in.): 0.9
Answer:
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
The greatest is: 0.9
By student names: Clara, Raj and Jacob
Step-by-step explanation:
See comment for complete question
Given
Differences:
[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
Required
Order from least to greatest
We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
First convert fractions to decimal
[tex]\frac{4}{5} = 0.8[/tex]
[tex]-1\frac{1}{2}= -1.5[/tex]
[tex]-\frac{3}{4} = -0.75[/tex]
So, the differences become:
[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]
Now arrange from least to greatest
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
From the above representation,
The greatest is: 0.9
By student names, we have:
Clara, Raj and Jacob
This is done by simply replacing the numbers with the student name.
See attachment for number line
Answer:
4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob
Step-by-step explanation:
Bir kutudaki kalemlerin sayısı, mavi renkli kalemlerin sayısından 48 fazladır. kutudaki kalemlerin sayısı, mavi kalem sayısının 9 katı olduğuna göre, kutuda kaç tane mavi kalem vardır
Answer:
6
Step-by-step explanation:
Mavi kalemlerin sayısına x diyoruz
Kutudaki kalemlerin sayısı mavi kalemlerin sayısından 48 fazlaymış yani x+48 kutudaki kalemlerdir.
Kutudaki kalemlerin sayısı mavi kalem sayısının 9 katı ise x+48=9x olur
Şimdi denklemi çözmemiz lazım sol taraftaki x sağ tarafa - x olarak geçer sağ tarafda 8x kalır yeni denklemimiz 48=8x olur
Her iki tarafı da bilinmeyenin yanındaki sayıya böleriz bunun sonucu da 6=x çıkar
Mavi kalemlere de x demiştik yani 6 adet mavi kalem vardır.
Please find the value of x
The coordinates of one endpoint of a line segment are (4,-12). The length of the segment is 5 units. Determine four coordinates that could serve as the other endpoint of the given line segment.
Answer:
Step-by-step explanation:
Since we are given the starting position of the line segment and the length we can simply add or subtract the total length of the line segment to the x or y starting position. This would give us all the possible endpoints that are exactly 5 units away from the starting position in every direction. We can either add or subtract because this would give us the left, right, up, and down directions from the starting position. After making these changes we are left with the following four possible endpoints.
(-1 , -12)
(9 , -12)
(4, -17)
(4, -7)
asap pls pls plslsspslsss
Answer:
The answer is the first one: y=3x+1
Step-by-step explanation:
For this question, you have to substitute different values of x and y in the table into the equation shown below the table.
y = 3x + 1
Sub x=4 and y=13
13 = 3(4) + 1
13 = 12 + 1
13 = 13
Sub x=2 and y=7
7 = 3(2) + 1
7 = 6 + 1
7 = 7
Sub x=0 and y=1
1 = 3(0) + 1
1 = 0 + 1
1 = 1
Sub x=-2 and y=-5
-5 = 3(-2) + 1
-5 = -6 + 1
-5 = -5
Hope it helps :)
Which point on the number line has the greatest absolute value? 1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)
Answer:
P(-6)
Step-by-step explanation:
1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)
The absolute value of a number disregards ir removed the negative sign from the number and treats as positive.
The absolute value of the numbers given in the option above :
P(-6) = |6|
Q(-2) = |2|
R(1) = |1|
S(5) = |5|
Hence, the option which has the greatest absolute value when arranged on a number line is |6|
find the measure of the angle
PLEASE HELP!!!
I-ready!
Answer:
35,.......,..............
Harry and his family travel 204 miles in 3.4 hours. If they continue at this constant speed, how long will it take them to travel 420 miles?
Answe
7
Step-by-step explanation:
204 dived by 3.5
i did 204 dived by 60 then
420 dived by 60
The time taken by the family to reach is T = 7 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed be represented as S
Now , the value of S is
S = D / T
speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour
where , the distance D = 420 miles
And , T = 420 / 60
T = 7 hours
Hence , the time taken for 420 miles is 7 hours
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how do you calculate the midpoint of question e)? I am very desperate. please help
Answer:
(-1,-1)
Step-by-step explanation:
Midpoint equation: [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]
= [tex](\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )[/tex]
= [tex](\frac{-2}{2},\frac{-2}{2})[/tex]
=(-1,-1)
Use the formula and plug it in :)
What should be added with -7/12 so that the sum is 0 ?
Answer:
7/12
Step-by-step explanation:
You need to get -7 to be a positive number so that its zero
-7+7=0
Then just add the denominator!!!
0/12=0
I hope this helps!!!!
✓3 correct to 5 decimal places
Answer:
1,73205
Step-by-step explanation:
First, count out the five decimal places, and then look at the sixth place:
[tex]\sqrt{3}[/tex] ≈ 1,73205 | 0807...
The sixth decimal is less than 5, so we round to the smaller side.