Given:
The function is
[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]
To find:
The missing values for a, b, and c in the given table.
Solution:
We have,
[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]
At x=-2,
[tex]f(-2)=\left(\dfrac{1}{3}\right)^{-2}[/tex]
[tex]a=\left(3\right)^{2}[/tex] [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]
[tex]a=9[/tex]
At x=-1,
[tex]f(-1)=\left(\dfrac{1}{3}\right)^{-1}[/tex]
[tex]b=\left(3\right)^{1}[/tex] [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]
[tex]b=3[/tex]
At x=0,
[tex]f(0)=\left(\dfrac{1}{3}\right)^{0}[/tex]
[tex]c=1[/tex] [tex]\left[\because a^0=1, a\neq 0\right][/tex]
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
Answer: below
Step-by-step explanation:
PQR with P(3, 6), 2-6, 6), R(0, 9); (x, y) = (x-3, y + 7)
оа
Ob
P'(0, 13), O'(-9, 13), R'(-3, 16)
P'(10,3), Q'(1,3), R' (7, 6)
P'(3, 7), e'(-6, 7), R' (0,7)
P'(-3, 13), e' (3, 13), R'(-3, 16)
Answer:
We have the answer as:
P'(0, 13), O'(-9, 13), R'(-3, 16)
Step-by-step explanation:
Here, we want to find the coordinates of the image after applying the transformation rule to the pre-image
what the transformation rule is saying is that we subtract 3 from the x-coordinate and add 7 to the y-coordinate
mathematically, we have these as follows;
P’ = (3-3, 6 + 7) = (0,13)
Q’ = (-6-3, 6 + 7) = (-9,13)
R’ ( 0-3, 9 + 7) = (-3, 16)
What is valué of the x-coordínate that is 9 units to the left (5,-8)
Answer: -4
Step-by-step explanation:
Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?
Answer:
819
Step-by-step explanation:
We solve the above question using simple interest
The formula for the total amount in a bank amount when it earn simple interest annually is:
A = P(1 + rt)
When
P = Initial amount in the account = 780
r = Simple Interest rate = 2.5% = 0.025
t = 2 years
A = 780(1 + 0.025 × 2)
A = 780(1 + 0.050)
A = 780(1 .050)
A = 819.00
The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.
PLEASE HELP ME BRAINLY IF CORRECT
Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
10 miles from the town and is 24 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y=
6x + 15.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?
A. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.
B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly.
D. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
at what rate, how long will it take to go 4.5 miles
Step-by-step explanation:
they need a car to drive duhhhhh
Answer:
0.36 hours
Step-by-step explanation:
Divide 4.5 with 12.5 mph.
X +2 = 8
What is X in this problem/situation ?????????????
HELP ME!!!!!!!!!!!!! Plzzz
X = 6
because 8 - 2 = 6
In function for every input there is exactly one output
Answer:
It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
Describe the translation
Answer:
D
Step-by-step explanation:
-2 --> 2 = +4
5 --> - 3 = -8
<4, -8>
What is the solution for x in the equation?
29 + 15x = -x − 3
A. x= 1/2
B. x= -1/2
C. x= 2
D. x= -2
Answer:
x=-2
Step-by-step explanation:
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
A. y= 3x + 1
B. y= x-3
C. y= 2x + 5
D. y= 2x-5
° ♡ ₒ ♡ °
thank you!
someone do these please!
Answer:
I think the first option is better.
Step-by-step explanation:
First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900
And 6.55 of $5000 is 325. 325 * 36 = 117000
If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.
HOPE THIS HELPED.
IF IT DOESN'T PLEASE COMMENT.
The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
decisions are worth 4 points. Write an equation to represent this situation.
Answer:
6p + 4d = 36
Step-by-step explanation:
If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.
Hope this helps!
Find 20% 0f 80.
using double number line
Answer:
100% - 80
---------------------
20% - x
[tex]100x=80*20\\100x=1600\\x=\frac{1600}{100}\\x=16[/tex]
Help !!! ANYBODY PLEASE HELP IM BEGGING U
Answer:
Step-by-step explanation:
Blue- x+10y-10z
Can someone help me please thanks.
Answer:
1/125
Step-by-step explanation:
(1/5)³ = 1/125
1³ = 1
5³ = 125
Answer:
Step-by-step explanation:
this looks like 1/5 * 1/5 * 1/5
multiply the tops ( numerators) and the bottoms (denominators)
tops are 1
bottoms are 125
1/125
:)
HELP this is the 7th time i post this!!!!!!!!!!!!!!!!!!!!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
(2x-7)+ (-7)
Step-by-step explanation:
sum: 2x-7 + -2x
-7
an equivalent expression would be 3x-7-3x, or anything else that simplifies to -7
(2x - 9) (x + 4) = 0
What the answer
Answer:
x = 4.5 AND x = -4
Step-by-step explanation:
for the first answer
add 9 to 0 and divide by 2
for the second answer
subtract 4
Answer:
x = 9/2 and x = -4
Step-by-step explanation:
you can set each expression in the parenthesis' equal to zero. this is due to it being multiplication so if one parenthesis equals 0, the answer will be 0
2x - 9 = 0 and x + 4 = 0
starting with 2x-9=0
add 9 to both sides
2x = 9
divide by 2
x = 9/2
then do x + 4 = 0
subtract 4
x = -4
so your two answers are
x = 9/2 and x = -4
(a) Type an equation and (b) solve. Type the answers in the spaces provided. In the basketball championship game, the Falcons had three fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears? (Use b as the variable.) (a) (b) Bears:
Answer:
There were 7 players on the Bears
Step-by-step explanation:
Given
[tex]a = falcons[/tex]
[tex]b = bears[/tex]
We have that:
[tex]a = 11[/tex]
and also:
[tex]a = 2b - 3[/tex] --- 3 fewer than twice a
Required
Solve for b
Substitute 11 for a in [tex]a = 2b - 3[/tex]
[tex]11 = 2b - 3[/tex]
Add 3 to both sides
[tex]3+11 = 2b - 3+3[/tex]
[tex]3+11 = 2b[/tex]
[tex]14 = 2b[/tex]
Divide both sides by 2
[tex]\frac{14}{2} = \frac{2b}{2}[/tex]
[tex]7 = b[/tex]
[tex]b = 7[/tex]
Hence, there were 7 players on the Bears
Someone plz help T^T
Answer:
No
Step-by-step explanation:
parallel means they do not touch.
NEED HELP ASAP PLEASEEEEEEEEEE
Answer:
1. No
2. Yes
3. No
4. Yes
5. No
Explanation:
If a data point has the same x coordinate of another data point. Then it's not a function.
PS:
Can I have Brainliest?
The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit Inverse Variation (1,4) (2,2) (8,0.5) (16,0.25)
Answer: true
Step-by-step explanation:
The diameter of a circle is 20 centimeters.
What is the length of its radius?
Answer:
10 cm
Step-by-step explanation:
Diameter= 2X radius
20/ 2 = radius
20/2 = 10 cm
-1/6 x -3/5 the answer has to be a fraction
The product of -1/6 x -3/5 = 1/10
The given expression is,
-1/6 x -3/5
In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.
Now proceed the product,
Multiply numerator with numerator and denominator with denominator,
Therefore,
-1/6 x -3/5 = -1x(-3)/6x5
= 3/30
= 1/10
Hence,
-1/6 x -3/5 = 1/10
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
What is the sum of all prime numbers beetween 30 to 60?
Answer:
311
Step-by-step explanation:
Please give me brainliest and thank me
Answer:
311
Step-by-step explanation:
31+37+41+43+47+53+59=311
please mark me as brainliest, i'd really appreciate it!<3
What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.
Answer:
i mean might as well get free points now that its 2 weeks old
Step-by-step explanation:
Answer:
Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.
Width = A
Length = B
Diagonal = C
so: a2+b2=c
2502+1002=c2
2500+10000=c2
12500=c2
c=√12500
c=111.80 yards
Step-by-step explanation:
the ambitous jackle
Solve the inequality.
-4(2n-6)
Answer: -8n + 24
Step-by-step explanation:
-4(2n-6)
-8n + 24
Answer:-8n+24
Step-by-step explanation:
What are the numbers of pi? All of the numbers please. Like all of them. PLEASE QUICK!!!
Answer:
Umm infinite, pi is a irrational number, it is ever ending
Step-by-step explanation:
I only know liek 60 digits :P
3.14159265358979323846264338327950288419716939937510
Somthing like that
use, or to compare the following numbers. -2 or 12 <>
Answer:
-2 < 12
Step-by-step explanation:
12 is bigger than -2.