PLEASE HELP!!! PLATO ALGEBRA 2
Answer:
(gof) (4) = 9
Hence, option A is true.
Step-by-step explanation:
f(x)=-x³
g(x)=|1/8x -1|
(gof) (4) = g{f(4)}
First wee need to determine f(4)
f(4)=-(4)³
= -64
so
(gof) (4) = g{f(4)} = g(-64)
= [tex]\left|\frac{1}{8}\left(-64\right)-1\right|[/tex]
[tex]=\left|-\frac{1}{8}\cdot \:64-1\right|[/tex]
[tex]=\left|-8-1\right|[/tex]
[tex]=\left|-9\right|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]
[tex]=9[/tex]
Thus,
(gof) (4) = 9
Hence, option A is true.
X The temperature, C, in degrees Celsius recorded by a city park's weather station between midnight and 7:00 a.m. could be represented as a linear function of the number of hours after midnight, t. The temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m. Which equation could be used to represent this function? (1 point) O C (t) = -0.8t – 4.2 OC (t) = -1.25t - 8.6 OC (t) = -0.8t - 3 OC (t) = -1.25t - 4.2
Answer:
C(t) = -0.8t - 3
Step-by-step explanation:
We are told that the temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m.
Thus, difference in temperature is;
ΔT = -8.6°C - (-4.2°C)
ΔT = -8.6°C + 4.2°C
ΔT = -4.4°C
Now, number of hours between 1:30 a.m and 7:00 a.m is 5.5 hours.
Thus, average temperature per hour is;
-4.4/5.5 = -0.8°C/h
Now, since C is represented as a linear function of the number of hours after midnight, t.
Then the linear function is -0.8t + x = C(t)
Let's find x.
After 1.5 hours, we have -4.2°C. Thus;
-0.8t + x = -4.2
-0.8(1.5) + x = - 4.2
-1.2 + x = -4.2
x = -4.2 + 1.2
x = -3
Thus, the linear relationship is now;
C(t) = -0.8t - 3
Please help would mean alot
Answer:
5
Step-by-step explanation:
they are all being multiplied by 5.
Answer:
Y = 5x
Step-by-step explanation: It is that because they are multiplying everything by 5.
I’m stuck but the next drop down is above or below
Answer:
less; below
Step-by-step explanation:
We can change both fractions to improper fractions first for easier comparison.
-[tex]\frac{7}{5}[/tex] = -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{5}{5}[/tex] -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{6}{5}[/tex]
As you can see, -[tex]\frac{7}{5}[/tex] has a higher absolute value but both fractions are negative so it has a lesser value than -[tex]\frac{6}{5}[/tex] and thus would also be below -[tex]\frac{6}{5}[/tex].
2x (3 x |4O - (0 x 2)]) = ?
Answer:
6ox5 i hope its ok and if you tink and want you can give me a brainly crown
Step-by-step explanation:
Solve the inequality: (x-3) 1/2+2 ≥4 A) x ≥ 11 B) x ≥ 7 C) x ≥ 13 D) x ≥ 35
The solution to the inequality will be x ≥ 7. The correct option is B.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality (x-3) 1/2+2 ≥4 will be solved as below:-
(x-3) 1/2+2 ≥4
( x / 2 ) - ( 3 / 2 ) + 2 ≥ 4
( x - 3 ) / 2 + 2 ≥ 4
( x - 3 ) / 2 + 2 ≥ 4
( x - 3 ) + 4 ≥ 8
x + 1 ≥ 8
x ≥ 8 - 1
x ≥ 7
Therefore, the solution to the inequality will be x ≥ 7. The correct option is B.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ1
ANSWER IT CORRECTLY FOR BRAINLIEST Amelia built a scale model of a float, using the scale 48:7. The measurements of the actual float are given in this table.
What is the length of the scale model of the float?
Drag and drop a number into the box.
Measurements are rounded to the nearest inch.
Length of float (in.)
Actual Measurements
Dimension Measurement
Length 97 inches
Width 54 inches
Height 72 inches
Answer:
The third one :)
Step-by-step explanation:
X + 8 + 2x <= 2x + 13
<= this symbol means greater than or equal to
I would like it step by step
Answer:
x<=5Step-by-step explanation:
x+8+2x <= 2x +13
x+8<= 13
x<=5Answer:
X <= 5
Step-by-step explanation:
Combine like terms
3x + 8 <= 2x + 13
subtracg 2x from both sides to get all the x’s on One side
x + 8 <= 13
subtract 8 from both sides to get x by itself
x <= 5
A machinery was bought at RS 60,000.Its value is depreciated at the rate of 5% per annum. Find its value after one year.
Answer:
Rs57,000
Step-by-step explanation:
If its value depreciates at 5%p.a then only 95% of the original value(100%) is left.
Therefore its value=95/100×Rs60000=Rs57,000
A text message plan costs $4 per month plus $0.48 per text. Find the monthly cost for x text messages.
find the value of y. this is dud tdy help plss
Answer:
y is B. 82 degrees (and for extra, x is 54 degrees)
Step-by-step explanation:
The angles shown are complementary, which means they equal 180 degrees. Subtract 73 from 180 to get 107 degrees for the other angle in this set. After that subtract 25 from 107 to get y, which is 82 degrees.
(For x, just subtract 19 from 73 to get 54 degrees.)
simplify completely (32/9t)-(5/9t)
Answer:
[tex]\frac{3}{t}[/tex]
Step-by-step explanation:
[tex]\frac{32}{9t}[/tex] - [tex]\frac{5}{9t}[/tex] Since we have a common denominator, we just subtract 5 from 32
[tex]\frac{27}{9t}[/tex] I can simplify by dividing the top and bottom number by 9
[tex]\frac{3}{t}[/tex]
On a space shuttle mission a certain experiment is started two days 14 hours and 30 minutes into the mission the experiment takes one day 21 hours and 47 minutes to run when will the experiment be completed give your answer in days hours and minutes into the mission work with a sort of expanded form
The experiment will be completed in 4days + 12hours + 17min .
In the given question
The experiment was started 2days + 14hours + 30min ago
It will take 1day + 21hours + 47min more to complete the experiment .
The total time taken to run the experiment is
= (2days + 14hours + 30 min) + (1day + 21hours + 47min)
On adding the like terms we get
= (2+1)days + (14+21)hours + (30+47)min
=3 days + 35hours + 77min ...(i)
We know that
24 hours = 1 day
So , 35hours can be written as 24hours + 11hours.
35hours = 24hours + 11hours ...(ii)
We also know that
60 min = 1hour
So , 77min can be written as 1hour + 17min
77min = 60min + 17min
77min = 1hour + 17min ...(iii)
Substituting the value of equation (ii) and (iii) in (i) we get ,
Total time = 3 days + 24hours + 11hours + 1hour + 17min
=3 days + 1day + 11hours + 1hour + 17min ...(as 24hours = 1day )
On adding the like terms we get
= 4days + 12hours + 17min
Therefore , the experiment will be completed in 4days + 12hours + 17min .
Learn more about Unit conversion here
https://brainly.com/question/28308386
#SPJ1
At a restaurant, Mike and his three friends decided to divide the bill evenly. If each
person paid $13 then what was the total bill? I know the bill is $52 . I need help writing a formula
Step-by-step explanation:
Let x represent the number of people.
13x = 52
I will mark brainlest
Name a point on this line.
y - 8 = -7(x + 1)
Question 4 options:
(-1, 8)
(-8, 1)
(8, -1)
(1, -8)
Answer: y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x +
Step-by-step explanation: 8, -1)
1. Classify the triangle shown to the right.
A. Right, Scalene
97
B. Acute, Isosceles
th
C. Obtuse, Scalene
13°
70°
D. Equiangular, Equilateral
In a really exciting part of the book, the student read 18 pages in one sitting. For how many minutes did she read?
Consider the function F(x) = - 2x + 3x - 8. Determine F(k + 4).
Answer:
F(k + 4) = k - 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
F(x) = -2x + 3x - 8
F(k + 4) is x = k + 4
Step 2: Find F(k + 4)
Substitute in x: F(k + 4) = -2(k + 4) + 3(k + 4) - 8Distribute -2: F(k + 4) = -2k - 8 + 3k + 12 - 8Combine like terms (k): F(k + 4) = k - 8 + 12 - 8Combine like terms (Z): F(k + 4) = k - 49err9jwihwr9ihwrighiwrrghihsrhrgishfgisif10101
Answer:
yes
Step-by-step explanation:
...
Kaitlyn rented a movie with a due date of Tuesday. There is a late fee of $5 for each day late that the movie is returned. Kaitlyn returned the
movie on Saturday, four days late. Write an expression to show how much Kaitlyn owes the movie rental shop and solve.
Answer:
5x=20
Step-by-step explanation:
Kaitlyn was 4 days late. You substitute X for 4 and then multiply. Since it's $5 for each day late, and she turned it in 4 days late, the total fee is $20.
Whoever answers gets brainlist!
Answer: 2 4/5, 3 2/3, 5 2/3, 2 1/2, 3 1/3 part2; 9/2, 49/5,
Step-by-step explanation:
A fishing shop charges $8 to rent fishing gear and $35 per hour to rent a boat Write a function to model the cost, y, to rent fishing gear and a boat for x hours.
Answer:
y= 35x + 8
Step-by-step explanation:
the $35 is an hourly charge so it goes with x and the $8 is a one time charge so it just gets added on
The required function is y = 35x + 8 to model the cost, y, to rent fishing gear and a boat for x hours.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given that a fishing shop charges $8 to rent fishing gear and $35 per hour to rent a boat.
According to the given situation, we can write the function as:
⇒ y = 35x + 8
Here the $35 is an hourly rate, so it corresponds to x, and the $8 is a one-time charge, so it is simply put on.
Therefore, the required function is y = 35x + 8 to model the cost, y, to rent fishing gear and a boat for x hours.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ2
Find the value off(5) for each function
f(h) = - h/10
f(m)=1-4(m/2)
f(m)=2(m-3)
The value of f(5) for each function provided in the reference picture attached hereby with the question statement are as follows:
13. f(5) = 21
14. f(5) = -12
15. f(5) = 20
16. f(5) = (-1/2)
17. f(5) = (-9)
18. f(5) = 4
As per the reference picture attached hereby with the question statement, we are provided with 6 functions.
We are required to find the value of f(5) for each function.
To solve this question, we simply have to replace the the variable of individual functions with 5 and then, perform the operations as per the function to obtain our desired answer.
Starting with [tex][f(x)=6+3x][/tex], substituting (x = 5) in the equation, we will get,
[tex]f(5)=6+(3*5)\\or, f(5)=6+15\\or,f(5)=21[/tex]
Substituting (x = 5) in the second function [tex][f(x)=-2(x+1)][/tex], we get,
[tex]f(5)=-2(5+1)\\or, f(5)=-2(6)\\or,f(5)=-(2*6)\\or, (5)=-12[/tex]
Substituting (x = 5) in the third function [tex]f(a)=[3(a+2)-1][/tex], we get,
[tex]f(5)=[3(5+2)-1]\\or, f(5)=[(3*7)-1]\\or,f(5)=(21-1)\\or,f(5)=20[/tex]
Substituting (x = 5) in the fourth function [tex][f(h)=(\frac{-h}{10})][/tex], we get,
[tex]f(5)=(\frac{-5}{10})\\ or,f(5)=\frac{-1}{2}[/tex]
Substituting (x = 5) in the fifth function [tex]f(m)=[1-4(\frac{m}{10})][/tex], we get,
[tex]f(5)=[1-4(\frac{5}{2})]\\ or,f(5)=[1-(\frac{4*5}{2})]\\ or, f(5)=[1-(2*5)]\\or,f(5)=(1-10)\\or,f(5)=(-9)[/tex]
Finally substituting (x = 5) in the last function [tex]f(m)=[2(m-3)][/tex], we get,
[tex]f(5)=[2(5-3)]\\or,f(5)=(2*2)\\or,f(5)=4[/tex]
Function: In mathematics, a function is an operator which produces a certain output when provided with a certain input.To learn more about Functions, click on the link below.
https://brainly.com/question/12431044
#SPJ9
A 208 inch pipe is cut into two pieces one piece is three times the length of the other find the length of the shorter piece
The length of the shorter piece is 52 inches.
How to find the length of the shorter piece?A 208 inch pipe is cut into two pieces one piece is three times the length of the other .
let
the shorter length piece = x
Therefore,
length of the longer piece = 3x
The length of the shorter piece can be calculated as follows:
x + 3x = 208
4x = 208
divide both sides by 4
4x / 4 = 208 / 4
x = 52
Therefore, the length of the shorter piece is 52 inches.
learn more on length here: https://brainly.com/question/12879979
#SPJ1
can someone help me with this question please? ASAP
Answer:
pentagram lookin symbol its c btw
Step-by-step explanation:
PLS HALP ASAP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!
Steve set up a business making friendship bracelets. He earned $70 in January. He is projected to earn 120% more in February. How much is Steve projected to make in February? (1 point)
Question 30 options:
1)
$84
2)
$98
3)
$154
4)
$190
Answer:
70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you
Step-by-step explanation:
Answer:
154 dollary doooos
Step-by-step explanation:
Saturday morning Brett made one batch of orange juice with 1 cup of concentrate and 4 cups of water. What percent of the batch was water? Show your work or explain your reasoning to justify your answer.
Answer:
80% of the batch is water.
Step-by-step explanation:
If 1/5 of the batch is concentrate, that leaves 4/5 of the batch being water. 4/5 simplifies out to .8, which is 80%.
HELP ASAP ILL GIVE BRAINLIST
Answer:
Rotation of 270 degrees counterclockwise about the origin
Step-by-step explanation:
Which expression or expressions have the same value as 12 2?
Answer:I think you mean 2 over 12 if so its 1/6
Step-by-step explanation:
you must simplify you divide both of them by numbes they are divisblle by