Answer:
x=5y+6
Step-by-step explanation:
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)).
Answer:
-11
Step-by-step explanation:
f(x) = 5x + 11
g(x) = x^2 + 4x - 11
g(f(-3)) = ?
f(-3) = 5(-3) + 11
= -15 + 11 = -4
g(f(-3)) = g(-4) = -(4)^2 + 4(-4) - 11
= 16 - 16 - 11 = -11
A function assigns the value of each element of one set to the other specific element of another set. The value of g(f(-3)) is -11.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=5x+11 and g(x)=x²+4x-11, therefore, we can write the value of g(f(x)) as,
g(f(x)) = (5x + 11)² + 4(5x + 11) - 11
= 25x² + 121 + 110x + 20x + 44 - 11
= 25x² + 130x + 154
Now, substitute the value of x as -3 in the function g(f(x)), therefore, we can write,
g(f(-3)) = 25x² + 130x + 154
= 25(3)² + 130(-3) + 154
= 225 - 390 + 154
= -11
Hence, the value of g(f(-3)) is -11.
Learn more about Function here:
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find each percent change. tell whether it is a percent increase or decrease
8 to 10
50 to 20
120 to 54
12 to 96
72 to 108
2 to 1.3
[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}[/tex]
Answer:
1. y = -2/3x + 2
2. y = 2/4x + -3
3. y = 1x -1
Answer: see below
Step-by-step explanation:
Step 1: Find the slope (m) using the formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula. y - y₁ = m(x - x₁)
1. (0, -2) and (3, 0)
Step 1: [tex]m=\dfrac{-2-0}{0-3}\quad =\dfrac{-2}{-3}\quad =\dfrac{2}{3}[/tex]
Step 2: [tex]y-0=\dfrac{2}{3}(x-3)[/tex]
[tex]y=\dfrac{2}{3}(x-3)[/tex]
[tex]\large\boxed{y=\dfrac{2}{3}x-2}[/tex]
2. (0, -3) and (-4, -5)
Step 1: [tex]m=\dfrac{-3-(-5)}{0-(-4)}\quad =\dfrac{-3+5}{0+4}\quad =\dfrac{2}{4}\quad =\dfrac{1}{2}[/tex]
Step 2: [tex]y-(-3)=\dfrac{1}{2}(x-0)[/tex]
[tex]y+3=\dfrac{1}{2}x[/tex]
[tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]
3. (0, -3) and (-4, -5)
Step 1: [tex]m=\dfrac{-4-3}{-3-4}\quad =\dfrac{-7}{-7}\quad =1[/tex]
Step 2: [tex]y-3=1}(x-4)[/tex]
[tex]y-3=x-4[/tex]
[tex]\large\boxed{y=x-1}[/tex]
Select the correct answer.
Answer:
D. [tex]3\sqrt{22b}[/tex]
I hope this helps!
Ms. Lincoln has a bucket full of pencils that she would like to divide up equally to her 28 students. If each student got 3 pencils, how many did she start with
Answer:
84
Step-by-step explanation:
28*3= 84
Please help me with this question, thanks.
An item is regularly priced at $83. It is on sale for 35% off the regular price.
Answer:
$53.95
Step-by-step explanation:
83*0.65
=53.95
Which transformations could be performed to show that Abc is similar to A’B’C’?
Answer:
reflection or translation
Step-by-step explanation:
this is more then likely the answer depending on how the 2 shapes are aligned and matched.
eg(the sides or shape is the exact same)
translation: is the exact shape and size just moved to another area
Answer:
take away the ', ', and '
Step-by-step explanation: if you take them away a'b'c' becomes abc
HELP HAVING BAD DAY
Find the value of b if the graph of the equation y=−5x+b goes through the G(4, 3) point.
Answer:
b = 23
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -5x + b
G(4, 3)
Step 2: Find y-intercept b
Substitute point: 3 = -5(4) + bMultiply: 3 = -20 + bAdd 20 to both sides: 23 = bStep 3: Write linear equation
y = -5x + 23
Answer:
The answer is y=-5x+21.5 --- B=21.5
Step-by-step explanation:
Pls Mark Brainliest
A map shows a section of Interstate 94 that forms a straight line. A family plans to drive 72 miles on Interstate 94 from St Paul, MN to Elk Mound, WI. They drive for 20 miles, and then decide they will stop halfway through their trip to eat. How much farther do they need to drive before they stop for dinner?
Answer:
16 miles
Step-by-step explanation:
Given that:
Total distance of the trip = 72 miles
They have decided to stop half way their trip i.e. they will stop at a distance [tex]\frac{72}{2} =36[/tex] miles from the starting point.
Also, given that they have already traveled for 20 miles.
To find:
How much farther do they need to drive before they stop for dinner?
Solution:
Distance already covered = 20 miles
Distance to be covered before stopping for dinner = 36 miles
Distance to be covered more = Total distance to be covered before stopping - Distance already covered
[tex]\Rightarrow 36-20 =\bold{16\ miles}[/tex]
0.1 + 0.2x +0.3 + 0.05x = -2.4
Answer:
x = -11.2
Step-by-step explanation:
0.1 + 0.2x + 0.3 + 0.05x = -2.4
Combine like terms on the left side.
0.25x + 0.4 = -2.4
Subtract 0.4 from both sides.
0.25x = -2.8
Divide both sides by 0.25.
x = -11.2
2. Which relations represent a function? Check all that apply.
If you wanna help with the bottom two that would be very helpful too!!
Answer:
for the top its the first one
Step-by-step explanation:
a function is when a number has one corresponding number (some say exponent or other words)
A relation may or may not represent a function
The relations that represent a function are: (a) first ordered pair and (c) the linear graph
For an ordered pair to be a function, each x values must not point to several y-values
For a graph to represent a function, it must pass the vertical line test.
Based on the above highlights, the relations that represent a function are:
(a) first ordered pair- because all y values point to different x values(c) the linear graph - because it passes the vertical line testRead more about relations and functions at:
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3x16-12 divided by 6
Evaluate the Expression
Answer:
6Step-by-step explanation:
3x16-12 divided by 6
3 (16) - 12
6
= 48 - 12
6
= 6
PLSS HELP 100 points and brainliest
Answer:(AB)C=28 12
x=4/8
the last one
4/0
Step-by-step explanation:
Answer:
x=4/8
Step-by-step explanation:
A(b) , Its absolutely the last one. c- (2-1=0) is
9-18 36
{5 -10 16.} . Please brainliest
f(x) = -6x + 4
f (x) = 28
Answer:
x = - 4
Step-by-step explanation:
Given f(x) = - 6x + 4 and f(x) = 28, then equating
- 6x + 4 = 28 ( subtract 4 from both sides )
- 6x = 24 ( divide both sides by - 6 )
x = - 4
A publisher sells 10⁶ copies of a new book. Each book sells 10² pages. How many pages total are there in all of the books sold? Write the answer using exponents.
1 point
Answer:
10^12.
Step-by-step explanation:
You need to solve 10^6 * 10^2 without using standard notation. As with variables, if you had x^6 * x^2 you would add the exponents. Replace x with 10. Your answer is 10^8. As a sidenote, only multiply exponents when raising a power to another power, e.g. (10^6)^2 = 10^12.
Answer:
10000000
Step-by-step explanation:
please help ill give you the brainly crown
Answer:
I cannot see image
Step-by-step explanation:
Which of the following is an irrational number?*
770
O 9.222...
7/2
O
7100
Answer:
I guess 09.222....
Step-by-step explanation:
when subtracting decimals with the same sign you?? what does it mean???
Answer:
it turns to a positive
Step-by-step explanation:
2 negatives will equal a positive number.
Answer:
It just means that it will be easier for you to subtract them.
Step-by-step explanation:
Because all you have to do is subtract them how you would and just take the decimal and move it down the row and that is it.
1.) Graph the function y = x + 1 for the domain of 2,-1,0,1
Answer:
(2,3) (-1,0) (0,1) (1,2)
Step-by-step explanation:
ez
Consider the sequence 8, 6.2 ,4.4 , 2.6 . The function that describes the sequence is f (x) = 9.8 - 1.8x . What is f (5)
Answer:
0.8
Step-by-step explanation:
f (5) = 9.8 - 1.8(5)
9.8 - 9 = 0.8
Which unit is commonly used in both the Metric and the US Systems of Units?
A. hour
B. gallon
C. centimeter
D. kilogram
Answer:
calculator soup. com
Step-by-step explanation:
go to this site
Answer:
D kilogram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.
Someone please help me
Which explains how to find the question of the division below
-3 1/3 divided by 4/9
Answer:
B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4
.Ray's Rental Car Company charges a $50 rental fee, $15 for gas and $0.25 per mile driven. For the same car, Rosie's Rental Car Company charges $40
for rental and gas and $0.35 per mile driven. At what mile do the companies charge the same amount?
Answer: 166.667 miles
Step-by-step explanation:
For the first company, the cost can represented by the equation: y=0.25m +50+15
Which is the same as y=0.25m +65
For the second company, the cost can represented by the equation:0.35m+40
m is the miles driven
To find at after how many miles they cost the same, I will set both equations equal to each other to solve for m
0.25m+65=0.35m+40
-0.25m -0.25m
65=0.15m+40
-40 -40
25=0.15m. Divide both sides by 0.15
166.667=m
So after 166.667 miles, the companies charge the same.
You can also round it again: 166.67 or 166.7 or 167
Ruben bought 6 comic books for $21dollar , 21. Each comic book was the same price.
what was the price of 1 comic book
Answer:
3.5 dollars
Step-by-step explanation:
The price of one comic book is 3.5.
I got this by dividing 21 and 6
Answer:
$3.5
Step-by-step explanation:
21/6=3.5
Here is some information about the goals scored in some hockey games.
Each game has four quarters.
Goals in hockey games
Number
of goals 5
The mean number of home
goals scored is 2.5
The mean number of away
goals scored is 1.8
How many home and away
games have been played
in total?
3rd
2nd
Quarter
Away goals
Key:
Home goals
Answer:
48 goals
Step-by-step explanation:
From the attached image, we can see that:
Number of Home Goals = 9 + 6 + 8 + 7
= 30
Number of Away goals = 2 + 7 + 4 + 5
= 18
Total number of goals = 30 + 18
= 48
-9 ration or irrational
Answer:
this is rational
Step-by-step explanation:
7w + 6(3w + 9)
Help ASAP
Answer: 25w+54
Step-by-step explanation:
Distribute:
=7w+(6)(3w)+(6)(9)
=7w+18w+54
Combine Like Terms:
=7w+18w+54
=(7w+18w)+(54)
=25w+54
Answer:
=25w+54
Answer:
25w + 54
Step-by-step explanation:
7w + 6(3w + 9)
7w + 18w + 54
25w + 54
5 2/3 divided by what is 1?
Answer:
5 2/3
Step-by-step explanation:
I'm not sure how to explain, but 5 2/3 divided by itself is 1...
I hope this helped a little bit still. Have a great day c: