Answer:
b(x) = -2X² + 19X + 114
Step-by-step explanation:
b(x) = total revenue generated per day
total revenue formula ⇒ b(x) = price x quantity
price = $3 current price + 0.5X price increase = 3 + 0.5X
quantity = 38 current quantity sold - 4 books per X = 38 - 4X
b(x) = (3 + 0.5X) · (38 - 4X)
b(x) = 114 -12X + 19X - 2X²
b(x) = -2X² + 19X + 114
factor the trinomial x²-11x+30?
Answer:
(x-5)(x-6)
Step-by-step explanation:
when we look at something like this we have a, b, and c
a=1 (in front of x)
b=-11
c=30
our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11
so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11
but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)
so we then write it as (x-6)(x-5)
and if you FOIL that out you will end up getting the original equation :)
hope this helps!
Which of the following shows finding the sum of 4 and -8?
Answer:
-4
Step-by-step explanation:
count by a number line and you will see
Answer:
the answer is -4
Step-by-step explanation:
First you have to determine which sign is bigger. The number 8 is greater than 4 so we have to use the negative sign. now we can subtract or add. eight minus or plus four is four or twelve. so if we add or subtract the negative sign and the number four together we will get negative four or twelve. This is how you get the sum for negative four and eight. Hope this helps!
Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)
Answer:
A
Step-by-step explanation:
when you substitute 4 in x and 3 in y, your result are 11 no 10
Jared wants to make a scale drawing of his bedroom. His bedroom is a rectangle with a length of 600 cm and width of 400 cm. He decided on a scale of 1 to 50. 1.Jared's bedroom door is 60 cm wide. How wide should the door be on the scale drawing? Explain how you know. 2.Jared's bed measures 4 cm by 5 cm on the scale drawing. What are the actual measurements of his bed?
Answer:
(1) 1.2 cm
(2) 200 cm by 250 cm
Step-by-step explanation:
The scaled dimention = (Actual dimension) x (scale factor) ...(i)
The given scale factor =1/50
(1) The actual width of the bedroom door= 60 cm.
So, from equation (i),
the width of the door on the scale drawing= 60 x (1/50)=1.2 cm
(2) The scaled dimension of the bed is 4 cm by 5cm.
So, the scaled width of the bed = 4cm and
the scaled length of the bed = 5cm.
So, from equation (i),
4 cm = (Actual width) x (1/50)
So, Actual width = 50 x 4 cm = 200 cm.
And, 4 cm = (Actual length) x (1/50)
So, Actual width = 50 x 5 cm = 250 cm.
=Hence, the actual measurements of his bed is 200 cm by 250 cm.
Help pleaseeee. I’m a little dumb
Answer:
18
Step-by-step explanation:
PEMDAS (order of operation)
4 dived by 2 is 2
2times 5 is 10
10+8 is 18
A car increases, then decreases, its speed. Which table could represent the speed of the car? A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.
Answer:
The speed increases (45—>47—>49) then decreases (48—>47) over time.
Step-by-step explanation:
whats 45 x 7^5 + 809 -12
Answer:
757112 or 7.57112 x 10^5
Step-by-step explanation:
45 x 7^5 + 809 - 12
45 x 16807 + 809 - 12
756315 + 809 - 12
757124 - 12
757112 or 7.57112 x 10^5
Evaluate. x^2 ; x = -3
Answer:
-9
Step-by-step explanation:
Word problem for 3x(5+8)
Answer:
The answer is 39x.
Step-by-step explanation:
Answer:
I believe the word form of the equation would be Three X times five plus eight.
Step-by-step explanation:
4x−3/2 - 5-2x/3 - 3x-4/3 = 5
Answer:
Simplify the expression.
2x-47
=6
Step-by-step explanation:
Answer:
x= -8.5
Step-by-step explanation:
combine like terms1/3x - 47/6 =5
2. Get x onone side
1/3x = -17/6
3. Multiply for x
x= -8.5
I NEED HELP FAST PLZ
Answer:
A. 2x^2+15
Step-by-step explanation:
Is The Correct Answer!
the room is actually 18 ft wide on your floor paln you draw the room as 6 inches wide what is the scale factor for the floor plan
Answer:
1:3 (scale to actual)
Step-by-step explanation:
6:18
3:9
1:3
Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below. Distance from Sensor to Each Car Time since starting cars Distance to Brian’s car Distance to Kelsey’s car Distance to Geoff’s car 1 sec 34 cm 27 cm 27 cm 3 sec 38 cm 31 cm 33 cm 5 sec 42 cm 35 cm 39 cm 8 sec 48 cm 41 cm 48 cm Which statement is best supported by the table?
Answer:
Brian’s and Kelsey’s cars traveled at the same rate.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hope this helps
Please mark as brainlist!
Plss help i dont understand
What is the length of BC?
9 units
11 units
15 units
16 units
Answer:
x = 15
Step-by-step explanation:
I used the pythagorean theorem on BAC triangle
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The length of BC is 15 units.
In the right triangle ABC.
we have AC = 8 units and AB = 17 units.
We need to find the length of BC using the Pythagorean theorem.
What is the Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the given right-angle triangle ABC.
We have,
AB = hypotenuse and the other two sides are AC and BC.
Applying the Pythagorean theorem.
We get,
[tex]AB^{2} = AC^2 +BC^2[/tex]
Now substitute AC = 8 and AB = 17.
[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]
Thus, we have the length of BC as 15 units.
Learn more about finding length in a right-angle triangle here:
https://brainly.com/question/13515866
#SPJ2
5) Rafael's goal is to average
20 points per game in his
basketball league. He has
scored 24, 18, 25, and 16
points in his first four games.
How many points will he
need to score in game 5 to
end up with a mean score of
exactly 20?
Jadah bikes 45 miles in 3 hours. At this rate, how far does she go in 8 hours?
Answer:
120 miles
Step-by-step explanation:
45 divided by 3 equals to 15 and 15 times 8 equals 120.
45 / 3 = 15
15 x 8 = 120
PLEASE ANSWER THIS ASAP
If a person run 1.3 miles in 10 minutes, how far can he run in 2.5 hours?
Answer:
23.4m
Step-by-step explanation:
1 hour = 60 min
2.5 hours = 180 min
180 ÷ 10 =18
18 × 1.3 = 23.4
621126.4862 divided by 126.48
Answer:
4910.8672217
Step-by-step explanation:
I dont have a step by step, i am so sorry
Answer:
4910.8672217
Step-by-step explanation:
Please help guys, I’d really appreciate it... using FOIL, solve:
(x + y + 3)(x + y - 4)
Answer:
X^2+xy-x+y^2-y-12
Step-by-step explanation:
I think i did it right but if not comment back and i'll try again.
Find the difference:
(9.31 x 105) – (4.2 x 105)
Answer:
536.55x
Step-by-step explanation:
I hope this helps :)
Ashley is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $77 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.80 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
Anything above 15 miles, so x>15
Step-by-step explanation:
When you solve this by using an equation, you would get 77=65+0.80m (0.80 m because slope is 0.80 and m is mileage you multiply by). You would subtract 64 from both sides, so 12=0.80m and then you divide 0.80 by 12 to get m by itself to get 15. 15 miles is when both companies cost the same, so anything above 15.
What value of c makes the equation true?
let's solve your equation step-by - step
-3-3/4(c-4)=5/4
Step 1: simplify both sides of the equation.
-3-3/4(c-4)=5/4
-3+-3/4 c+3=5/4 (distribute)
(-3/4 c)+(-3+3)=5/4 (combine like terms)
-3/4c=5/4
-3/4 c =5/4
Step 2: Multiply both sides by 4/(-3)
(4/-3)*(-3/4 c)=(4/-3)*(5/4)
Answer:c=-5/3
Answer:
[tex]-\frac{5}{3}[/tex]
Step-by-step explanation:
Hi there !
[tex]-3-\frac{3}{4}(c-4)=\frac{5}{4}\\ \\-3-\frac{3c}{4}+3=\frac{5}{4}\\ \\-\frac{3c}{4}=\frac{5}{4}\\ \\-3c=5\\\\3c=-5\\\\c=-\frac{5}{3}[/tex]
Good luck !
QUESTION 3 of 10: Last year you paid $20 for a yard of silk. This year, it will cost you $25 a yard. What is the percentage increase?
a) 12%
b) 20%
C) 25%
d) 33%
Answer: C) 25%
Step-by-step explanation:
yes i agree with all of you
Answer:
like wise. I too agree with your contribution
find the value of x root (4/7)^2x-1=16/49
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac{4}{7}) ^{2x - 1}[/tex] = [tex]\frac{16}{49}[/tex]
Solve for x;
Solution:
16 = 4²
49 = 7²
So;
[tex](\frac{4}{7}) ^{2x - 1}[/tex] = [tex]\frac{4^{2} }{7^{2} }[/tex]
[tex](\frac{4}{7}) ^{2x - 1}[/tex] = [tex](\frac{4}{7} )^{2}[/tex]
Now;
2x - 1 = 2
2x = 3
x = [tex]\frac{3}{2}[/tex]
I really don't understand this
Answer:
-1
Step-by-step explanation:
The mean is the sum of all values divided by the amount of values.
We take the sum of all the numbers:
-3 + -8 + 12 + -15 + 9
-11 + 12 + -15 + 9
1 + -15 + 9
10 + -15
-5
We then divide the sum by how many number we have (we are given 5 numbers):
-5/5 = -1
Therefore, our mean is equal to -1.
Answer:
-1
Step-by-step explanation:
-3 + -8 + 12 + -15 + 9 = -5 Now divide it by the amount of numbers given. -5 / 5 = -1
Write 0.00000000000801 in scientific notation
Answer:
10^12 times 8.01
Step-by-step explanation:
Answer: 8.01*10^12
Step-by-step explanation:
)
1.What is the additive of 3/8
Answer:
3
Step-by-step explanation:
3 + (-8) - (-8)
= 3 - 8 + 8
= 3