Given:
[tex]f(x)=4x-7[/tex]
[tex]g(x)=4x[/tex]
To find:
The expression for f(f(x)).
Solution:
We need to find f(f(x)).
[tex]f(f(x))=f(4x-7)[/tex] [tex][\because f(x)=4x-7][/tex]
[tex]f(f(x))=4(4x-7)-7[/tex] [tex][\because f(x)=4x-7][/tex]
Using distributive property, we get
[tex]f(f(x))=4(4x)+4(-7)-7[/tex]
[tex]f(f(x))=16x-28-7[/tex]
[tex]f(f(x))=16x-35[/tex]
Therefore, the expression for f(f(x)) is [tex]f(f(x))=16x-35[/tex].
A right triangle has one angle that measures 69º. What is the measure of the other acute
angle?
Answer:
21°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180 for the other angle
other angle = 180° - (90 + 69)° = 180° - 159° = 21°
PPPLLLEEEAAASSSE HHHEEELLLPPP! 14 points! Brainlliest, hearts, and stars!
Find the value of the power.
6³
Answer:
216
Step-by-step explanation:
Answer:
216
Step-by-step explanation:
6x6x6=216
Here is your answer
What does the 180 mean in this (n-2)180 and why do we multiply it
Answer:
Polygons can be separated into triangles by drawing all the diagonals that can be drawn from one single vertex. If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.
8t+1+(−4t)+(−6)
nnnnjhjknhhnknknnkhnknhkn
Answer:
8t + ( -4t) - 5
Step-by-step explanation:
8t + 1+ (-4t)-6
8t- 5 + (-4t)
Classify the quadrilateral with the name that best describes it.
Answer:
the one on the top is a parrallelogram, the one on the bottom is a trapezoid
10y − 6y + 2y + 2y = 8
Step-by-step explanation:
[tex]\tt{10y-6y+2y+2y=8 }[/tex] ⠀
[tex]\tt{14y-6y=8 }[/tex] ⠀
[tex]\tt{ 8y=8 }[/tex] ⠀
[tex]\tt{ y=\dfrac{8}{8} }[/tex] ⠀
[tex]\tt{ y=1 }[/tex] ⠀
Answer:
y=1Step-by-step explanation:
10y-6y+2y+2y=814y-6y=88y=8y=1Add. (-x + 6) + (-5x + 8)
Plsss I’ll get a whooping help...
Answer:
Well then good luck with that woophi- I'm kidding, this is what I got! XD
Step-by-step explanation:
6 and 3/4
Hope this helped! :D
B
Step-by-step explanation:
solve the equation: 3q+7=40. q=?
Answer: q=11
Step-by-step explanation: 40-7=33 33/3=11
q=11
Answer:
q = 11
Step-by-step explanation:
3q + 7 = 40
- 7 -7
3q = 33
-------------
3
q = 11
Identify the slope and the y - intercept of the graph below.
I have the inequality 120A + 100B <= 220 how do i graph this?
Answer:
Change the equation to slope intercept form.
(y= 1.2x + 2.2) or (b= 1.2a + 2.2)
Then shade above the line.
Step-by-step explanation:
Let's say A is "x", and B is "y."
Change the equation to slope intercept form.
120x + 100y = 220.
(Move 120x to the other side of the equation by subtracting 120x from both sides)
100y= -120x +220
(Divide 100y by 100 to remove it from Y, divide the entire right side of the equation by 100)
y= -120x/100 + 220/100
y <= 1.2x + 2.2 -> (b= 1.2a + 2.2)
The new equation is much easier to graph.
THEN, Plot the new equation, since the sign is <= (greater than or equal to)
Make a solid line.
Then shade above the line whatever color necessary, since the sign is also "greater than"
Answer:
See below
Step-by-step explanation:
Given inequality
120a + 100b ≤ 220This is a linear inequality, to graph first find intercepts:
a- intercept, when b = 0
120a = 220a = 220/120 = 1.833b- intercept, when a = 0
100b = 220b = 220/100 = 2.2We got two points:
(1.833, 0) and (0, 2.2)Now graph this with following steps
1. Plot these points on the coordinate plane. 2. Construct a solid line passing through those two points. (it would be dotted line is inequality sigh was > or < )3. Shade the area left to the line. (it would be the area to right if inequality sign was ≥)The graph is attached
Langston has $45$ greeting cards. He gives $18$ of the cards to his friends. What percent of his greeting cards does he give to his friends?
A quadratic function is defined by
g(x) = (x + 4)2 + 7
1. What is the vertex of the graph of function g?
2. Does the vertex represent the minimum value or the maximum value of the function?
Explain or show how you know.
3. If you were to shift this graph 6 units down from where it is now, what would be the equation represented by the new graph?
Answer:
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
Step-by-step explanation:
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = (x + 4)² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = ( x + 4 )² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
Anybody know how to do this? (Geometry) I need two people to answer this!! Free Brainliest and points !!
Answer:
A
Step-by-step explanation:
They have to be equal if abc and adc are equal
therefore the answer is A
hows that :D
PLEASE HELP QUICK!!!!!!! WILL GIVE BRAINIEST!!!!!!!!
Answer:
C. The answer is molecular motion.
Step-by-step explanation:
When a molecule moves it would heat up. Therefore, by moving it would heat up.
PLEASE HELP!!! THANKS!!!
Answer:
download socratic maybe there is the answer
What is 1 1/4 times 1 3/4?
Answer:
35/16 2 2/16
Step-by-step explanation:
1 1/4 = 5/4
1 3/4 = 7/4
5 * 7 = 35
4 * 4 = 16
35/16
Answer:
2 3/16
Step-by-step explanation:
First, we have to convert our mixed numbers to improper fractions, so our new equation is:
5/4 x 7/4 = 35/16
35/16 = 2 3/16
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.
The term –2(x – 2)2 is simplified by first squaring the expression x – 2.
The simplified product is a binomial.
After multiplying, the like terms are combined by adding and subtracting.
The parentheses are eliminated through multiplication.
The final simplified product is –28x2 +8x – 8.
Answer:
A C and D
Step-by-step explanation:
look a the attached picture
The term –2(x – 2)² is simplified by first squaring the expression x – 2.
After multiplying, the like terms are combined by adding and subtracting.
The parentheses are eliminated through multiplication.
What is simplification of algebra?The given algebraic expression can be simplified by resolving the parenthesis first followed by adding similar terms together.
Simplification of the expression3x(x – 12x) + 3x² – 2(x – 2)²
= 3x² - 36x² + 3x² - 2(x² - 4x + 4)
= -30x² - 2x² + 8x - 8
= -32x² + 8x - 8
Thus, the correct process of simplification include;
The term –2(x – 2)² is simplified by first squaring the expression x – 2.After multiplying, the like terms are combined by adding and subtracting.The parentheses are eliminated through multiplication.Learn more about simplification of algebra here: https://brainly.com/question/432678
Please help:( i don't understand this question Kendall’s benchmark test scores are the following: 89, 79, and 93. She has to take her fourth and final benchmark on June 6 th . She really wants to get an A in the class and in order to do so she must have an average of a 90. If Kendall’s teacher decides to count the final exam as two test grades, what would she need on the final test to make sure she gets an A?
Hey there!
The answer to your question is 94.5
We can use this equation, and solve: (we need to use "2x" because the score counts for 2 grades!)
(89 + 79 + 93 + 2x) / 5 = 90
(261 + 2x) / 5 = 90
261 + 2x = 450
2x = 189
x = 94.5
To check if it's right, we can add up all the scores, and divide by 5, and see if it's equal to 90. (Make sure to use 94.5 twice because it counts for 2 test grades!)
(89 + 79 + 93 + 94.5 + 94.5) / 5
450 / 5
90 ✔️
Hope it helps! Have a great day and good luck!
PLEASE PLEASE HELP:)
Answer:
C
Step-by-step explanation:
About 10% of people are left-handed. If there are 480 people in a movie theater, about how many of them are likely to be left-handed?
Answer: 48
Step-by-step explanation: 10% of 480 would be 48 because your finding 10% of 480. for example: 10% of 100 would be ten because if you multiplied 10 times 10 it would be 100.
Pls I need help now! I’ll give you brainlist
Answer:
Its C
Step-by-step explanation:
What's 31+1?
I really need to pass this quiz please
Answer:
32
Step-by-step explanation:
Well I don't really have a way to make this equation any simpler than just adding 1 to 31.
31 + 1 = 32
Hope you pass the quiz!!
The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.
Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5
Answer:
C is the answer
they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.
Step-by-step explanation:
I hope this helps :))
In circle M with m \angle LMN= 98m∠LMN=98 and LM=18LM=18 units, find the length of arc LN. Round to the nearest hundredth.
Answer:
To the nearest hundredth, this is 30.79 units
Step-by-step explanation:
To find the length of the arc, we simply apply the length of arc formula
Mathematically, that would be;
theta/360 * 2 * pi * r
Theta here is 98
r is 18 units
So the length of the arc will be;
98/360 * 2 * 22/7 * 18
= 30.7876 units
to the nearest hundredth, this is;
30.79 units
In a science class, students water a plant with the same amount of water each day for 28 consecutive days. If the students use a total of 23.8 liters of water over the 28 days, how many liters of water did they use each day? How many milliliters did they use each day?
Answer::::::::::::::::::::::::::::::::::::
Answer:
28,800 Milliliters
Step-by-step explanation:
Hope it help's i used a caculator. it cheack my awnser
☺️☺️❤️ or 1,770 depends on the way you do it. [tex]hope it helps and have an amazing day!!![/tex] can u under stand than XDBill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the sales tax? * 10 points
Answer:
2.51
Step-by-step explanation:
The tax would cost 2.51 and in total would cost 38.31.
Is 2 5ths greater than 2 6ths 
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
1. find a common denominator,
2/5 = 12/30
2/6 = 10/30
2. compare,
12/30 is greater than 10/30
Hope this helps! (and is correct)
how do u solve 6(x+2)+6=-3(x+4)-6
Answer:
[tex]\boxed{\sf x=-4}[/tex]
Step-by-step explanation:
[tex]\sf 6\left(x+2\right)+6=-3\left(x+4\right)-6[/tex]
[tex]\boxed {\sf Expand: \: Use \: the \:distributive \:property}[/tex]
[tex]\sf 6\left(x+2\right)+6[/tex]
→ [tex]\sf 6x+12[/tex]
[tex]\sf -3\left(x+4\right)-6[/tex]
→ [tex]\sf -3x-18[/tex]
____________________
[tex]\sf 6x+18=-3x-18[/tex]
[tex]\boxed{\sf Subtract\: 18 \: from \: both\: sides:}[/tex]
[tex]\sf 6x+18-18=-3x-18-18[/tex]
[tex]\sf 6x=-3x-36[/tex]
[tex]\boxed{\sf{Add\:}3x\sf{\:to\:both\:sides}}[/tex]
[tex]\sf 6x+3x=-3x-36+3x[/tex]
[tex]\sf 9x=-36[/tex]
[tex]\boxed{\sf{Divide\:both\:sides\:by\:}9}[/tex]
[tex]\sf \cfrac{9x}{9}=\cfrac{-36}{9}[/tex]
[tex]\sf x=-4[/tex]
_________________________
The sequence 5, 10.5, 16, 21.5...has a common difference of what?