Answer:
[tex]\displaystyle f(x)=-\frac{1}{16}(4^x)[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=-4^{x-2}[/tex]
And we want to convert this to the exponential form:
[tex]f(x)=ab^x[/tex]
First, using the power of a product property, we can rewrite our function as:
[tex]f(x)=-(4^x\cdot4^{-2})[/tex]
By evaluating the second term, we acquire:
[tex]\displaystyle f(x)=-\big(4^x\cdot \frac{1}{4}^2}\big)=-\big(4^x\cdot \frac{1}{16}\big)[/tex]
So, by rearranging, we acquire:
[tex]\displaystyle f(x)=-\frac{1}{16}(4^x)[/tex]
As desired.
The function below represents the cost to rent x movies a month from an internet movie club. Mickey now has $10.00
How much more does Mickey meed to rent seven movies next month?
fx-2x + 12
Question in image. The bottom number is what you’re writing in terms of.
9514 1404 393
Answer:
log₃(7) -2·log₃(5)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
__
You have ...
[tex]\log_3\dfrac{7}{25}=\log_3{7}-\log_3{25}=\log_3{7}-\log_3{5^2}\\\\=\boxed{\log_3{7}-2\log_3{5}}[/tex]
Find the median age of a group of 8 people whose ages
in a years are as follow:
47, 61, 13, 34,56, 22,30,20
Answer:
32
Step-by-step explanation:
since the question has an even number of age groups, we have to find the two middle numbers which are 30 and 34, add them together and then divide that answer by 2
30 + 34 = 64
64 ÷ 2 = 32
Michael had $150 in the bank yesterday. Then, Michael bought an expensive designer jacket for $180, but
didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt!
What is the absolute value of his new account balance?
Answer:
he now owes $30 so negative $30
Step-by-step explanation:
Can someone pls help me on this. I'll give BRAINLIEST
Answer:
i think the answer is 9
Step-by-step explanation:
(2x-1)=17
2x=17+1
x=18/2
x=9
Erika is baking cupcakes. The recipe calls for 14 cups of
sugar for the batter, and for the frosting. About how
many total cups of sugar will Erika need for her recipe?
Answer:
20
Step-by-step explanation:
Answer:
she will use about 28 cups of sugar
Step-by-step explanation:
14*2=28
solve this for me 15x+82= 20x +12
Answer:
here
Step-by-step explanation:
15x-20x= -82+12=>
=> - 5x= -70=>
= x= 14
What number does x stand for in this equation?
- 7x + 6= 27
A
21
B
2
C-3
D-7
Answer:
c. -3
Step-by-step explanation:
- 7x + 6= 27 [subtract 6 from both sides]
-7x = 21 [divide by -7 to isolate x]
x = -3
Answer:
The answer is C
Pay attention, here's why.
Step-by-step explanation:
Let's solve your equation.
−7x+6=27
Step 1: Subtract 6 from both sides.
−7x+6−6=27−6
−7x=21
Step 2: Divide both sides by -7.
−7x /−7 = 21/ −7
x=-3
Desiree writes songs for her band her first song is 3 1/2 minutes long her second song is one 1/2 times as long as her first song her third song is 2/3 times as long as her second song how many minutes long are the second and third songs
Answer:Number of minutes of second Song = 5 1/4 minutes
Number of minutes of third Song =3 1/2 minutes
Step-by-step explanation:
Number of minutes of First Song = 3 1/2 minutes
Number of minutes of second Song = one 1/2 times as long as her first
= 1 1/2 X 3 1/2 minutes
3/2 X 7/2
21/4 = 5 1/4 minutes
Number of minutes of third Song = 2/3 times as long as her second song
2/ 3 x 5 1/4
= 2/3 x 21/4 =42/12
Dividing the numerator and denominator by 3 to reduce the fraction
42/ 12 / 3/3 = 14/4
14/4 = 3 2/4 = 3 1/2 minutes
The yearbook club had a meeting. The club has 30 people and three fifths of the club showed up for the meeting how many went to the meeting
Answer:
there are 45 people in the group
2/3xA=30
2A=30x3
A=90/2
A=45
When do you need to flip the inequality sign when solving?
Answer:
When you divide by a negative.
Step-by-step explanation:
In 1986 the average price of a gallon of gasoline was $0.94 cents. In 2007 the average price of a gallon of gasoline was $2.77. Find the percent of increase and round the nearest tenth.
Its 66% right?
Answer:
RIGHT
Step-by-step explanation:
What is 8 + 9 + -10 - 3x simplified?
Answer:
7-3x
Step-by-step explanation:
8+9=17
17-10=7
7-3x
Which expression is equivalent to 10√5
A. √500
B.√105
C.√50
D.√15
Help meeeeee. Ksjsjsjs:(
Answer:
a rule to know: a median divides the side into equal parts.
we know:
PR = -2a + 34
SR = 2a + 26
- based on the rule, SR is half of PR. in other words, PR is two times greater than SR.
so,
2SR = PR (now simply pluggin the expressions we have)
2(2a + 26) = -2a + 34 (solve the equation like any other equation prob.)
4a + 52 = -2a + 34
6a + 52 = 34
6a = -18
a = -3
- inorder to check if this is correct, simply reverse what we did. so pluggin the value of a to see if its correct.
Susie's bakery is having a sale on all cookies. The bakery is offering a sale pack of 4 cookies for $2.80. What is the unit price of a cookie within the sale pack?
Answer:
$11.02
Step-by-step explanation:
Im pretty sure this is right, srry if its not.
Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why
Answer:
rectangle because the diagnals are congruent
Step-by-step explanation:
Sorry bout that, THIS IS THE NEW ONE PLEASE ANSWER
Answer:
Step-by-step explanation:
Putting value of y = 5
4(5)2 - 7(5) - 6
4(25) - 35 - 6
100 - 41
59
In ABCD, m_B = (5x + 14)°, m_C = (x + 19), and m_D = (2x + 19º
What is the value of x?
Answer:
i dont know if may answer is correct this is may answer 3
A coordinate plane. Use the coordinate plane to plot the points (6, 0) and (0, 5). Which statement is true? (0, 5) is located on the x-axis. (0, 5) is located at the origin. (6, 0) is located on the x-axis. (6, 0) is located at the origin.
Answer:
The correct option is (6, 0) is located on the x-axis.
Step-by-step explanation:
Given that we plot (6, 0) and (0, 5) on the xy–plane. We know that in (6, 0) 6 is the x-coordinate and 0 is the y-coordinate while in (0, 5) 0 is the x-coordinate and 5 is the y-coordinate.
Therefore, (6, 0) can be found on the x–axis not on the origin because it has shifted from 0 to 6 and (0, 5) can be found on the y-axis not on the origin because it has shifted from 0 to 5.
Hence, the correct option is (6, 0) is located on the x-axis.
Answer:
x-axis
Step-by-step explanation:
please help me and ill give brainlist
Please answer this if you can tysm
Answer:
c because you multiply by pie which is 3.14 and that times 10 is 31.4
Answer:
C
Step-by-step explanation:
i think
(NEED DONE QUICKLY) If the domain of a coordinate transformation that is reflected over the y-axis is (-6, 2), (4, 5), (2, -1), what is the range?
Answer:
Step-by-step explanation:
Remark 1
If you are using a mirror on the y axis, then only the x value is changed. The y value remains the same.
For (-6,2), -6 changes into plus 6
The new point is (6,2)
For (4,5), 4 changes to minus 4
The new point is (-4,5)
For (2,-1) the new point is (-2,-1)
Remark 2
But none of those are the answer you want. What you want is what happens to the y value? The answer is it remains the same. The y value is the range. So the answer goes from (-1 to 5) just as it did before.
find the equation of the line passing through point (3,5) and with slope = 1/3
a) y=1/3x+4
b) y=-1/3x+4
c) y=3x-5
d) y=1/3x+5
Answer:
A. y = 1/3 x + 4Step-by-step explanation:
The standard form of equation of a line in point slope form is expresses as
y - y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Given
m = 1/3
(x0, y0) = (3, 5)
Substitute into the equation
y - 5 = 1/3 (x-3)
3(y-5) - x-3
3y - 15 = x-3
3y = x-3+15
3y = x+12
y = 1/2 x + 12/2
y = 1/3 x + 4
Hence the require equation of the line is y = 1/3 x + 4
20+64 distributive property
Wouldn't it still just be 84 with or without the distributive property? :0
2(5+5)+2(16+16)
Step-by-step explanation:
lol and ignorw this wifnsnsjwjs
Hurryyyz
Solve the following equations
2. 35 = 2x + 5
3. 4x - 7 = 73
part one of this would be x=6;
2x6 is 30
30+5 is 35
part two of this would be x=20;
20x4 is 80
80-7 is 73
Answer:
x = 15 and x = 20
Step-by-step explanation:
(2)
35 = 2x + 5 ( subtract 5 from both sides )
30 = 2x ( divide both sides by 2 )
15 = x
(3)
4x - 7 = 73 ( add 7 to both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)
Answer:
64n⁴ - 9n¹⁴
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Exponential Rule: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(8n² + 3n⁷)(8n² - 3n⁷)
Step 2: Expand
FOIL: 64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴Combine like terms: 64n⁴ - 9n¹⁴15) In a basketball game, Reggie made 11 field goals (shots). Each of the field goals were worth either 2 or 3 points, and Reggie scored a total of 25 points from field goals.
Part A: Let x represent the number of 2-point field goals and y represent the number of 3-point field goals. Write a system of equations in terms of x and y to model the situation.
Part B: Using any method, find how many 2-point and 3-point field goals Reggie made in the game.
the answer would 2.35 bc or thw way its written
Step-by-step explanation:
its wrong dont put it
Carrie has 11 more glass animals than Naomi, who has g animals.
Evaluate the expression g + 11 for g = 4 to find how many glass animals Carrie has.
A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall is the church?
Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet