Answer:
15, 21, 27
Step-by-step explanation:
Given the function :
f(x) = 6x + 13 ; which defines a sequence for x > 1
The first three terms of the sequence ;
x > 1 ;
Hence x = 2, 3, 4
The sequence :
f(2) = 6(2) + 3 = 12 + 3 = 15
f(3) = 6(3) + 3 = 18 + 3 = 21
f(4) = 6(4) + 3 = 24 + 3 = 27
Solve the following inequality:
4(x - 6) < 3x + 13
Answer:
x < 37
Step-by-step explanation:
4(x - 6) < 3x + 13
Distribute
4x -24< 3x+13
Subtract 3x from each side
4x-3x -24 < 3x+13-3x
x-24 < 13
Add 24 to each side
x-24+24 <13+24
x < 37
Step-by-step explanation:
4(x-6) <3x+13
4x-24<3x+13
CLT
4x+3x<13-24
7x<-11
x= -11/7
Please show your work? A pool of possible candidates for a student council consists of 14 freshmen and 9 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?
28,828,800
1,352,078
72,072
943,286,400
Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
learn more about permutation and combination here :
https://brainly.com/question/28720645
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which angle is this??
Answer:
acute
Step-by-step explanation:
the angles are all less than 90°
they are not equal so not equialteral
has to be acute
x = -7y; 2x - 8y = 22
Answer:
(7; -1)
Step-by-step explanation:
Hi there!
Here is a solution:
If x=-7y then -14y-8y=22 => y=-1 and x=7
Hope this helps)
Have a nice day!
Help!! Please! Its algebra!!
Answer:
y - 7 = -4 ( x -2 )
Step-by-step explanation:
just use the given informations:
The base formula:
y - y(1) = m ( x -x(1) )
remember that "m" typically refers to the slope of a line
There is a given set of points on the line: (2, 7)
hence just plug in the numbers:
x(1) = 2
y(1) = 7
m = -4
and you get
y - 7 = -4 ( x -2 )
Y=-4(x-2)
hope it helps
What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5
In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded.
Which inequality does this graph represent?
A. y ≥ 2
B. y ≤ 2
C. y 2
Answer:
A. y ≥ 2
Step-by-step explanation:
First the line is solid, a complete line not dotted so the inequality sign to use is : ≥ or ≤
The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :
y ≥ 2
See attached graph below.
You move down 3 units. You end at (5,-2). Where did you start?
does anybody know the awnser to w=7a+4b
Answer:
w=7a+4bw-4b = 7a
Step-by-step explanation:
10. The ratio of red marbles to purple marbles is 3:8. If there are 44
marbles, how many purple marbles are there? *
Answer:
32 purple marbles.
Step-by-step explanation:
Turn 3:8 into 3x+8x.
Equation:
3x+8x=44
x=4
Now, refer back to 3x:8x. We know that x=4, so 4*8=32.
32 purple marbles.
Answer:
There are 32 purple marbles and 12 red marbles
Step-by-step explanation:
The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...
3x+8x=44
11x=44
x=4
We need to know the number of purple marbles so we do,
8*4=32
Which expression is equivalent to |1-5| + |3|?
O -2
O -8
O 2
O 8
Answer:
8
Step-by-step explanation:
because you do |1-5| first then do add ur answer to |3|
Hi can somebody help me with this equation, please? 50=2(x+3)+10
Answer: x = 17
Step-by-step explanation:
1) Subtract 10 from both sides
40 = 2(x+3)
2) Divide both sides by 2.
20 = x + 3
3) Subtract 3 from both sides
17 = x
x = 17
Answer: x= 17
Step-by-step explanation:
17 plus 3= 20
then you multiply 20 times 2 (PEMDAS)
Then you get 40 and 40 + 10
equals 50
Company A makes business cards for $2.25 a
box and a setup fee of $4.50. Company B makes
business cards for $1.75 a box and a setup fee of
$6.00. How many boxes of business cards does each
ramiany make for the price to be equal
Answer:
225 and 175 are your x in this
Answer:
3 boxes
Step-by-step explanation:
Company A=2.25x+4.5
Company B=1.75x+6
2.25x+4.5=1.75x+6
.5x=1.5
x=3
7x-6=21+7x solve for x.
Answer: x= 34/7
Step-by-step explanation:hope this helps!
Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared.
Answer:
Hope this helps...
Step-by-step explanation:
Solve:
12 + 5 + 3’2 x 10 - 5 =
(12 + 5) + 3'2 x (10 – 5) =
Answer:
1) 102
2) 62
Step-by-step explanation:
12 + 5 + 3² × 10 - 5
12 + 5 + 9 × 10 - 5
12 + 5 + 90 - 5
17 + 90 - 5
107 - 5
102
(12+5) + 3² × (10 - 5)
(17) + 9 × (5)
17 + 45
62
A local pizza shop has a membership program for frequent buyers. The membership costs $10 per month and members get a discounted price of $1.75 per slice of pizza. Autumn purchased a membership to this pizza shop.What would be the monthly cost for xx slices of pizza?
Answer:
Monthly cost = $10 + $1.75x
Step-by-step explanation:
Given the following :
Membership cost = $10 per month
Discounted price for members = $1.75 per slice of pizza
If Autum purchased the membership, the monthly cost for x slices of pizza
Monthly cost of x slices will be :
Membership cost + (discounted price * number of slices)
Monthly cost = $10 + ($1.75 * x)
Monthly cost = $10 + $1.75x
your hair is 5/16
inch long. Write this length as a decimal.
Answer:
0.3125
Step-by-step explanation:
in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.
Answer:
0.3125
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 40 pounds
and each large box of paper weighs 70 pounds. A total of 20 boxes of paper were
shipped weighing 1220 pounds altogether. Write a system of equations that could be
used to determine the number of small boxes shipped and the number of large boxes
shipped. Define the variables that you use to write the system.
HELP PLEASE (20 PTS)
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
9x - 5 = 7x + 3
2x = 8
x = 4
3 different ways to write 4/8
in ratios
Answer:
1:2
2:4
3:6
Step-by-step explanation:
Answer:
4:8
4 to 8
4/8
Step-by-step explanation:
An item is priced at $14.07. If the sales tax is 5%, what does the item cost including sales tax?
Answer:
14.77
Sale Tax: 5.00% or $0.70
Answer:
14.12
Step-by-step explanation:
0.05 is also known as 5%
14.07+0.05=14.12
An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?
Answer:
Shaheem paid $76 as his total.
Step-by-step explanation:
He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.
BRAINLIEST!!! easy question
Answer:
x=10 degrees
Step-by-step explanation:
Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.
Simplifying, we get
9x=90
or x=10
Answer:
18 degrees hope this helps
Step-by-step explanation:
please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.
Sb please help me!!!
Answer:
A
Step-by-step explanation:
2 2/3 as a improper fraction
Answer:
8/3
Step-by-step explanation:
Answer: 8/3
Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3
1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.
Answer:
its d or b
Step-by-step explanation:
Answer:i think it is d
Step-by-step explanation:
A. It has reflectional symmetry with one line of symmetry.
B. It has rational symmetry with an angle rotation of 45°.
C. It has point symmetry.
D. It has no reflectional symmetry.
PLZ HELP!
Answer:
The answer would be D.
Step-by-step explanation:
No matter which way you turn this shape, it will not be symmetrical
Write the equation of the line that passes through (3, -2) and is parallel to y= 4x+1
Answer:
it should be y=4x-14
Step-by-step explanation:
since the line is parallel to y=4x+1 than the slope should be the same but the y intercept is different. and so u put the coordinate on a graph and use the slope and coordinate to fine the equation.
Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500