Answer:
Step-by-step explanation:
(fg)(x) )
[tex](x+4)*(3x^{2} -7)[/tex]=[tex]3x^{3} -7x+12x^{2} -28[/tex] = [tex]3x^{3} +12x^{2} -7x-28[/tex]
Composite functions are functions that are gotten from combining multiple functions.
The value of the composite function (f o g)(x) is 3x^2 -3.
The functions are given as:
[tex]f(x) = x + 4[/tex]
[tex]g(x) = 3x^2 - 7[/tex]
To calculate the composite function (f o g)(x), we make use of:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
We have:
[tex]f(x) = x + 4[/tex]
Substitute g(x) for x
[tex]f(g(x)) = g(x) + 4[/tex]
Substitute [tex]g(x) = 3x^2 - 7[/tex]
[tex]f(g(x)) = 3x^2 - 7 + 4[/tex]
[tex]f(g(x)) = 3x^2 -3[/tex]
Recall that:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
So, we have:
[tex](f\ o\ g)(x) = 3x^2 -3[/tex]
Hence, the value of the composite function (f o g)(x) is 3x^2 -3.
Read more about composite functions at:
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What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)
Answer:
y = -2x - 3
Step-by-step explanation:
-solve for y: y = 1/2x + 2
-perpendicular equals opposite slope: -2
-plug in the point: (1) = -2(-2) + b
1 = 4 + b
b = -3
put it all together: y = -2x - 3
find the value of trignomwtric function:
sec330°
Step-by-step explanation:
sec330°
= 1 / cos330°
= 1 / cos30°
= 1 / (√3/2)
= 2/√3.
Answer:
[tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity
secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sec330°
= [tex]\frac{1}{cos330}[/tex]
= [tex]\frac{1}{cos(360-330)}[/tex]
= [tex]\frac{1}{cos30}[/tex]
= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{2\sqrt{3} }{3}[/tex]
If you answer my last question, I will answer yours :)
Help me please!!!!!!!!
Answer:
it c
Step-by-step explanation:
3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6
Answer:
x=0.8
x=6
Step-by-step explanation:
(5x-4)(x-6)=0
1)5x-4=0
2)x-6=0
1)5x=4
x=4/5 or 0.8
2)x=6
Identify the graph of f(x) = -3 |x+2|.
Answer:
the first one
Have a safe and happy new years
The function f(x) = -3 |x+2| represent the graph A. The correct option is A.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.
Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.
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please help which one of these answers is it?
Answer:
[tex] m\angle ABC = 35\degree [/tex]
Step-by-step explanation:
(3x - 70)° = x° (corresponding angles)
3x - 70 = x
3x - x = 70
2x = 70
x = 70/2
x = 35
[tex]
m\angle ABC = (3x - 70)\degree \\\\
m\angle ABC = (3\times 35- 70)\degree \\\\
m\angle ABC = (105- 70)\degree \\\\
\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]
Which graph shows the solution to the system of linear inequalities?
y 2x + 1
ys 2x - 2
BRA
Canadvie
Answer:
heres the whole question..
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
y ≥ 2x + 1
y ≤ 2x – 2
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
Answer:
I believe it is associative property of addition or commutative
Step-by-step explanation:
y + 12.5 = 21.7, y =
Answer:
y = 9.2
Step-by-step explanation:
21.7 - 12.5 = 9.2
Answer:
y = 9.2
Step-by-step explanation:
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line AB is [tex]\frac{3}{4}[/tex]
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line CD is [tex]\frac{3}{4}[/tex]
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
Answer:
a. they are parallel because their slopes are equal
Step-by-step explanation:
did the review on edge
Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2
Answer:C 2
Step-by-step explanation:
What equal to 3(x+y)
Answer:
Step-by-step explanation:
3(x+y)= 3x+3y,
you have to multiply the number with each term that is in parenthesis
Answer:
3x+3y
Step-by-step explanation:
3x+3y is pretty much the simplified version.
Find the sum of 5
and 7
Step 2: Add the fractions by dragging each bar to the dot on
the number line
02 03 04 05 06 08 10 12
The expression written in equivalent form with common
denominators is
70 규
The sum is
V
The common denominator of both
fractions is 10
You can proceed to step 2
Answer:
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
Sum: [/tex] \frac{9}{10} [/tex]
Step-by-step explanation:
Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]
Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.
Thus, we would have:
[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]
[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]
Simplify
[tex] \frac{45}{50} = \frac{9}{10} [/tex]
consider the inequality shown.
4x+ax-14>-24
What is the highest integer value of when x=-2
Answer:22
Step-by-step explanation:
Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)
Answer: a
Step-by-step explanation:
When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56
If KLM= NOP, find the perimeter of KLM.
Answer: 34 units
Step-by-step explanation:
I took the test
Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{4-1}{2-1}[/tex]
= 3
Based on the graph, the y-intercept is (-2) so the equation of the line is:
y = 3x - 2
Helpp I have 50 sec leftttn asappp
Answer:
The answer would be B) 17 1/3
What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)
Answer:
8/3
Step-by-step explanation:
Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.
PLEASE HELP!! PLEASE HELP!! (also answer my other questions too)
A shipping company has 3 different sized cube boxes. The volume of the boxes are 216in^3, 512in^3, and 1000in^3. Mia need to ship a gift with a height of 7 inches.
What is the height, in inches, of the smallest box Mia can use?
Answer:
A shipping company has 3 different sized cube boxes.The volume of 1 box is 216 in 3=648.The volume of 2 box is 512 in 3=1536.The volume of 3 box is 1000 in 3 = 3000.
So, Mia needs to ship a gift with a height of 7 inches.
648 , 1536-3000
-816
Step-by-step explanation:
5h(-m+f)= 6
SOLVE FOR F!
Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]
Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].
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I need help with a math question ASAP!! please Below is a screenshot of the problem
Answer:
Pretty sure it's B, the second one from the top
Answer:
Soda tax — Should people have to pay an extra tax on soda or junk food?
Your conversation should include the following:
A total of at least five entries for each side (10 entries total—two to three sentences each)
Accurate facts used to support both perspectives
At least two properly cited sources used for research
Step-by-step explanation:
Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10
Answer:
A. 10/3
Step-by-step explanation
improper fraction examples;
[tex]\frac{12}{3}[/tex] [tex]\frac{10}{9}[/tex] [tex]\frac{11}{10}[/tex]
An improper fraction is a fraction that has a numerator bigger than the denominator, ( [tex]\frac{N}{D}[/tex] ), therefore the answer would be A.
Hope this helps
Final Answer: A. [tex]\frac{10}{3}[/tex]
Steps/Reasons/Explanation:
Question: Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10
An improper fraction is a fraction that's numerator is greater or equal to its denominator. The correct answer would be A. [tex]\frac{10}{3}[/tex] because its numerator is greater than its denominator.
~I hope I helped you :)~
PLease help I promise this is easy
Answer:
use
y2-y1
____
x2-x1.
unfortunately I forgot how to solve it but pick 2 coordinates
Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!
How to solve your question
Solve for y:
-y = 3 y
Subtract 3 y from both sides:
-y - 3 y = 3 y - 3 y
-y - 3 y = -4 y:
-4 y = 3 y - 3 y
3 y - 3 y = 0:
-4 y = 0
Divide both sides of -4 y = 0 by -4:
(-4 y)/(-4) = 0/(-4)
(-4)/(-4) = 1:
y = 0/(-4)
0/(-4) = 0:
Answer: | y = 0
Please help me 32 points
Problem
Choose the inequality that represents the following graph.
Answer:
im pretty sure its d
Step-by-step explanation:
EMERGENCY
i+i+i+i=-8
i=
Answer
i=2
Step-by-step explanation:
i+i+i+i=8
4i=8
i=8/4
i=2
For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?
A) 9
B) 21
C) 45
C) 51
ill give brainly to first correct answer
Answer:
C
Step-by-step explanation:
The input is the value of x. Substitute x = 4 into y for output
y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45
Thus the output is 45 → C