A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110
Answer: (a)
Step-by-step explanation:
Given
The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used
for 600 kWh in a month, [tex]b(x)[/tex] is
Substitute 600 for [tex]x[/tex] in [tex]b(x)[/tex]
[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]
Therefore, the bill for a person is [tex]\$80[/tex]
write a quadratic function in standard form whose graph passes through (-6,0)(-4,0)(-3,-18) f(x)= [answer]
Using the Factor Theorem, the quadratic equation is given by:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:
[tex]f(x) = a(x + 4)(x + 6)[/tex]
[tex]f(x) = a(x^2 + 10x + 24)[/tex]
Considering that it passes through (-3, -18), we can find a, hence:
[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]
[tex]3a = 18[/tex]
[tex]a = 6[/tex]
Hence the equation is:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
More can be learned about the Factor Theorem at https://brainly.com/question/24380382
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answer:
11
Step-by-step explanation:
dont forget to five-star and heart!
can u help me plz////
Answer:
∠1=102 ∠2=78
Step-by-step explanation:
A 32 oz water bottle costs $10.70.
___ oz per water bottle
___ dollars per ounce
round answer to nearest hundredth
Answer:
32 oz per water bottle
$0.33 dollars per ounce
Step-by-step explanation:
We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.
$10.70 ÷ 32= 0.334375 ------> 0.33
Rounding to the hundredths place we get $0.33.
665.8 rounded to the nearest tenth of a cubic meter
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example
124.58
The first number of right of decimal point is 5
The second digit after decimal point is 8 which is greater than 5
So add 1 to 5
Result = 124.6
no answer just explanation,
can someone please help me with this
Someone please help me out!!
Answer:
1
when using a quadratic ration 1 is the formatted answer
Step-by-step explanation:
GEOMETRY/10 POINTS
WHAT DOES B EQUAL TO?
WILL MARK BRAINLIST GOD BLESS U
Answer :
[tex]360 - 108 = 252\\since \ divided \ equally = 126 each\\so \ b = 126[/tex]
Gracie needs to measure 2⅜ cups of sugar. How many times must she fill up a ⅓ measuring cup to get the correct amount of sugar?
Answer:
7 and 1/8 i think
Step-by-step explanation:
helllllllllllllllllllooooooooooooooooooooooooooooooo free 50 pointssssssssssssseses
Answer:
it says 5 points u baiting us?XD
Step-by-step explanation:
Answer:
Helloooo
Step-by-step explanation:
Its just 5 point but thanks :)
On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour and 15 minutes at archery and 2 hours sailing. What time did sailing end?
Answer:
Sailing end at 3:15 AM
Step-by-step explanation:
Connor did archery and sailing before dinner (in that order).
He started at 12:00 PM
We know that:
In archery, Connor spent 1 hour and 15 minutes
In sailing, Connor spent 2 hours.
The total time spent is:
1 hour + 15 minutes + 2 hours
3 hours + 15 minutes.
Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:
3:15 AM
Sailing end at 3:15 AM
Write an explicit formula for AN, the NTH term of the sequence 2, 4, 6
Answer:
2n.
Step-by-step explanation:
This an arithmetic sequence with a1 = 2 and d = 2
an = a1 + d(n - 1)
= 2 + 2(n - 1)
= 2n + 2 - 2
= 2n.
After a 3 hour snow storm there are 9 inches of snow on the road. What is the rate per inch?
Answer:
I inch per hour for 2 hours = 2 inches
2 inches per hour for 6 hours = 6*2 = 12 inches
1 inch per hour for 1 hour = 1 inch
2+12+1 = 15 inches of snow total
Step-by-step explanation:
credit to: musiclover10045
A soccer league has 170 players. Of those players 60% are boys. How many boys are in the soccer league?
Answer:
102
Step-by-step explanation:
170*(60%) = 170 *0.6= 102
60% of the entire part is also 0.6
Solve for X. Show your work.
Answer:
x=8
Step-by-step explanation:
The angles are vertical angles so they are equal
8x+36 = 5x+60
Subtract 5x from each side
8x+36-5x = 5x+60-5x
3x+36 = 60
Subtract 36 from each side
3x+36-36 = 60-36
3x =24
Divide each side by 3
3x/3 = 24/3
x=8
PLZZ anyone....l will give BRAINLIEST...
Step-by-step explanation:
x= how many members are in the group
x= 100/x
x= 100/(x-5)
x(x-5)=100
x^2-5x=100
x^2-5x-100=0
and then use the quadratic formula (i can't type it srry)
Answer:
25 membersStep-by-step explanation:
Initial number of members: x
Sum of money: K£ 100
Each had to pay: 100/x
Five members less, each paid K£1 more, we get equation:
100/x + 1 = 100/(x - 5)Multiply all terms by x(x - 5) and solve the quadratic equation:
100(x - 5) + x(x - 5) = 100x100x - 500 + x² - 5x - 100x = 0x² - 5x - 500 = 0x = (5 + √(5² + 4*500))/2 x = (5 + √2025)/2x = (5 + 45)/2x = 25The second root is ignored as negative.
Question 2
A rectangular piece of board is 0.894 m long and 0.665 m wide. Which of the following
shows the board's dimensions, each written to one decimal place?
If the area of the rectangle is 90 km?, then what is the value of the missing side?
A)
6 km
B)
10 km
15 km
D)
42 km
E)
54 km
Approximate the length of the hypotenuse of the right triangle to the nearest tenth of a unit.
Answer:
Assuming each box = 1 unit, the answer is 7.2
Step-by-step explanation:
A large western stare consists of 3872 million acres of land. Approximately 82% of this land is federally owned. Find the number of acres that are not federally owned.
Answer:
696.96 million acres of land
Step-by-step explanation:
Acres not federally owned = Percentage of acres not federally owned x total acres of land
Percentage of acres not federally owned = 100% - percentage of acres federally owned
100% - 82% = 18%
0.18 x 3872 = 696.96 million acres of land
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
Try your best to answer it
Answer:
y=-4(x,y)=(0,-4)
y=-3(x,y)=(2,-3)
y=-2(x,y)=(4,-2)
y=-1(x,y)=(6,-1)
y=0(x,y)=(8,0)
y=1(x,y)=(10,1)
Step-by-step explanation:
Answer:
Answer attached
Step-by-step explanation:
I think you can plot it in the graph.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
D
Step-by-step explanation:
V = 4.5 ×5 ×2.5 = 56.25
(D )
Answer:
56 1/4 cm^3
Step-by-step explanation:
To find the volume,
V = l*w*h
= 2 1/2 * 4 1/2 * 5
Changing to improper fractions
= 5/2 * 9/2 *5
= 225/4
Changing back to a mixed number
56 1/4 cm^3
A line is perpendicular to y = 3/7x - 2 and intersects the point (3, 3). What is the equation of this perpendicular line?
Answer:
y = -7/3x + 10
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative inverse of the first line
m = -7/3
Step 2: Find b
y = mx + b
y = -7/3x + b
3 = -7/3(3) + b
3 = -7 + b
b = 10
Solve for w: v = 3p (w -r)
Answer:
Step-by-step explanation:
v=3p(w-r)
v=3pw-3pr
v+3pr=3pw
(v+3pr)/3p=w
Use 3.14 for π Round to the nearest 100th if necessary A ball has a diameter of 20 inches. What is its volume?
Answer:
4186.67 cubic inches
Step-by-step explanation:
Volume of a sphere = 4/3 π r³
π = 3.14
Diameter = 20 inches
Radius = r = Diameter/2 = 20 inches/2 = 10 inches
Volume of the sphere = 4/3 × 3.14 × (10 inches)³
Volume of the sphere = 12560 ÷ 3
= 4186.6666667 cubic inches
Approximately to the nearest hundredth = 4186.67 cubic inches
Therefore, the volume of the ball is 4186.67 cubic inches.
Who's gonna answer my last math question??
Answer and Step-by-step explanation:
The answer would be A.
This is because we don't know how many students correctly answered 29 questions, but we do know how many students correctly answered 20-29 questions on the test.
As for the other answers, it asks about the full range and not a specific number.
#teamtrees #PAW (Plant And Water)
a rectangular plot has a perimeter of 124cm. The width is 2cm shoter than the lengh.What is the area of the rectangle?
Answer:
[tex]area = 960cm^2[/tex]
Step-by-step explanation:
Perimeter = 2 x (length + width) ------(1)
Perimeter = 124cm
Let length be x
Given width is 2cm shorter than length , that width = x -2
[tex]Perimeter = 2 (x + (x -2))\\\\124 = 2(x +x -2)\\\\62 = 2x -2 \\64 = 2x\\x = 32[/tex]
Length = 32cm
Width = 32 - 2 = 30cm
Area = length x width
[tex]= 32 \times 30 = 960cm^2[/tex]
Find the value of x. Using trig
Hi there! We can find the value of x by using this equation.
[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]
If you remember, tanx = opposite/adjacent. We focus on the angle x currently.
Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.
[tex] \large{arctan( \frac{19}{23} )} = x[/tex]
You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.
arctan(19/23) is 0.69
Then we round up and get 0.7
Hence, the value of x ≈ 0.7
Answer
x ≈ 0.7 (rounded)Questions can be asked through comment.
Hope it helps, and Happy Learning! :)