Answer:
(f οg )(x) = 27 x² -36 x + 53
Step-by-step explanation:
Explanation:-
Given the function f(x) = 3 x² +5 and g(x) = 3x-4
(f οg )(x) = f(g(x)
= f(3x-4)
= 3 ( 3x-4)² +5 ( ∵ f(x) = 3 x² +5)
= 3 ( 9 x² - 2(3x)(4)+(4)²) +5
= 3 ( 9 x² -12 x + 16) +5
= 27 x² -36 x + 48 +5
= 27 x² -36 x + 53
Final answer:-
(f οg )(x) = 27 x² -36 x + 53
HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Help me please I need the answer for questions 9 part A and Part B
Answer:
Part A:
c = 4 + 1.50h
c = 1 + 3h
Part B:
2 hours
$7
Step-by-step explanation:
Part A:
Number of hours = h
Cost = c
Cost for Ice Dream:
c = 4 + 1.50h
Cost for Skating Paradise:
c = 1 + 3h
Part B:
Set the equation equal to each other and solve for h:
4 + 1.50h = 1 + 3h
Collect like terms
4 - 1 = -1.50h + 3h
3 = 1.50h
Divide both sides by 1.50
3/1.5 = h
2 = h
h = 2
The cost for both locations would be equivalent at 2 hours
✔️The cost is:
4 + 1.50h = 1 + 3h
4 + 1.50(2) = 1 + 3(2)
4 + 3 = 1 + 6
7 = 7
The cost is $7
helen spent $7.75 to purchase 23 snacks for the club meeting. chips are
A bag contains 10 marbles: 2 are green, 4 are red, and 4 are blue. Tammy chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue?
write these ratio in its simplest form 200:180
Answer:
10:9
Step-by-step explanation:
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
48/96 in its simplest form
Answer:
1/2
Step-by-step explanation:
just divide it I guess
1/2
48/2
=24/2
=12/2
=6/2
=3
Hope this helps :D
The ratio of boys to girls In student council is 4 to 5. Students council has 18 members. How many are boys?
Answer:
Step-by-step explanation:
boy count is 1476
Explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
→
4
:
5
so you have 4 boys and 5 girls making the whole count
4
+
5
=
9
in its simplest form.
So to change the ratio proportion into fraction proportion we have:
boys
→
4
9
of the whole.
girls
→
5
9
of the whole.
It is given that the whole is 3321 therefore the count of boys is:
4
9
×
3321
=
1476
The Venn diagram below represents the students in a particular high school.
How many female students have a part-time job and a driver's license?
Female
Part-time job
74
111
56
45
92
38
137
89
Driver's license
No
Answer:
C. 45
Step-by-step explanation:
Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is shown in the very center with the number 45.
Hope it helps!
Answer:
C. 45
Step-by-step explanation:
Because its inside all three circles that you want.
Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.
15 cm
24 cm
38 cm
41 cm
53 cm
Answer:
B and C
Step-by-step explanation:
PLEASE HELP ME! DUE VERY SOON AND I GIVE BRAINLIEST IF U ANSWER!
Write a fraction in which the numerator and denominator are both greater than 9.
btw im pretty sure that it has to be an improper fraction since it’s over 9 and 9 is a whole number.
Answer:
Step-by-step explanation:
It does not need to be an improper fraction.
For example, the numerator and denominator of 10/11 are both greater than 9, but 10/11 is not an improper fraction.
Answer:
Remember that a number divided by itself is 1. That means if the numerator and denominator are the same, the fraction is equal to 1. So all of the following are equal to 1: 2/2, 3/3, 4/4, and so on and so forth. so a good one you could do is 9/9
Step-by-step explanation:
the relationship between two variables a and b is proportional. when a is 3 b is 25.5. write an equation to represent this relation
The answer is y = 8.5x
explanation is in the picture.
hope it helps.
Answer:
y= 8.5x
Step-by-step explanation:
y=ax with a>1
im very confused on what to do
Answer:
Step-by-step explanation:
‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so
a<-1
what is 2604 divided by 5
Answer:
150.80
Step-by-step explanation:
Answer:520.8
Step-by-step explanation:
express 729 as a power of 27
If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?
Answer:
ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki
In tug of war, when one team moves toward the other, what can be said about the forces?
Answer:
When the force exerted by one team slackens, the force exerted by their third law, each team pulls the opposite team with equal force in a tug of war. So the two forces don't balance each other and the rope accelerates towards the stronger team.
Step-by-step explanation:
Complete the missing parts of the table for the following function. y = 6 x -2 -1 0 1 0 1 2 3 1 y [ ] 6 36 36 1?
Answer:
Under -1 it will be 1/6
Under zero it would be 1
under 3 it would be 216
Explanation:
y = 6 to the power of x
Find the Area: 13 in | 4 in 7 in 24 in
Answer:
242 inches²
Step-by-step explanation:
area = (1/2) · (p + q) · h (trapezoid formula)
(1/2)(13+24)(4)= 74
area= bh (rectangle)
(24)(7)= 168
168+74= 242
The floor in the room is 4.5m long and 3.1m wide. Calculate the area of the floor
Answer:
13.95 metre square
Step-by-step explanation:
The measurements you gave are different. Hence it concludes that the floor is rectangular in shape.
Sooo,
Area of rectangle = length x breadth
= 4.5×3.1 = 13.95 m^2
Hope it helped!!!
the coast of 16 pens is rupees 256. Find the cost of 13 pens.
25 + 62 x 0.25
Evaluate the expression
Answer:
40.5
Step-by-step explanation:
25 + 62 x 0.25 =
25 + 15.5 =
40.5
25+62 × 0.25 = 40.5
62 × 0.25= 15.5
25 + 15.5 = 40.5
Dhanu has a model railway.
(a) He has a train that consists of locomotive and 4 coaches. The mass of the locomotive is 87 g
and the mass of each coach is 52 g.
i) Work out the total mass of the train.
State weather ABC and AED are congruent. Justify your answer
3y - 8 = -3(4 - 2x)
Step 2 of 2: Find the equation of the line which passes through the point (- 12. -3) and is parallel to the given line Express
your answer in slope-intercept form. Simplify your answer.
Answer:
y=2x+21
Step-by-step explanation:
Look at attached pictures for further explanation
Sapna and Robbie have some biscuits.
Altogether they have 14 biscuits.
Sapna has 2 more biscuits than Robbie.
How many biscuits do Sapna and Robbie each have?
Discriminant sorting
Answer: Discriminant sorting activity: Work with two other people, and find the discriminant of the quadratic equations you are given (each person should do 2). Sort them into 3 groups, and be prepared to explain how you chose your groups.
Step-by-step explanation:
1st Question:
Solve: 3/x-4>0
X<4
X>-4
X>4
X<-4
2nd Question:
Solve x+2/x-4<0
-4
-2
-2
-4
Answer:
1) 3/4 = x
Step-by-step explanation:
1) 3/x -4 >0
=3/x -4+4>0 +4
=3/x> 4
switch 4 with x
x = 3/4
so literally the ans is x< 4
sorry but I don't know how to do the second question ☹️☹️
Answer:
first Question answer is x > 4. The second question answer is –2 < x < 4
Step-by-step explanation:
EDGE 2021
Please help, this is due soon
Answer:
4
Step-by-step explanation:
If I remember correctly you can not have the arrows on the same y axis
Find the area of the triangle.
4ft
ift
8ft
[? ] ft2
