The slope of the line represented by the equation y = -2/3 - 5x is -5
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!
Answer:
C. 22,400.
Step-by-step explanation:
62.9% = 0.629 as a decimal fraction.
Total number of employees in small businesses in the county
= 270 * 132.
So the estimated number with less than $1000 savings
= 270 * 132 * 0.629
= 22,417.
A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?
Answer:
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Red counters: 120/4=30
Blue counters:120/5=24
Green counters:30+24=54, 120-54=66
(multiple choice) How is e-mail different from other types of communication?
can't save messages
can't hear tone of voice
can't get clues from body language
can't access sent messages
Answer: You can't hear the tone of voice or get clues from body language.
Step-by-step explanation:
When sending emails, the sender and the recipient communicate through a screen, thus each person is unable to see the other when conversing or hear the inflections or emphasis of voice in the message, although we can always attempt to interpret tone. Email allows you to store emails in the inbox or archive and access sent messages, but email lacks the ability to intimately understand specifics such as tone of voice or body language.
Answer:
cant get clues from body language, cant hear tone of voice
Step-by-step explanation:
need answers to this!!
Answer:
Yes, it's a function!
Step-by-step explanation:
(The domain represents the x-intercept and the range represents the y-intercept)
You can tell this mapping diagram is a function because each x-intercept (input) has only one y-intercept (output.)
she has 3 bags of flour and 2 smaller bags with 0.75 kg and a bigger bag that ha 1.14 how much flower does she have in total
Answer:
3(1.14) + 2(0.75)
3.42 + 1.5
4.92 kg of flour
The owner of a candle store purchases his candies from a local distributor. The graph below shows the relationship between n, the number of candles ordered, and
C, the total cost of the candle order. What is the relationship between the total cost of the candle order, c, and the number of candles ordered,
A. c=2n
B. c=4n
C. c=1/4n
D. c=1/2n
Answer:c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Calculate the area of the shaded region
Area of the rectangle = (18 m) (12 m) = 216 m²
Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²
Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²
To raise money for the
music program, your
choir sells programs for
$.50 and CDs of its music
for $5 at a concert. It costs
$.15 to produce each
program and $1.75 to
produce each CD.
Everything sells for $400,
yielding a profit of $265.
How many CDs were
made?
Answer:
x = 60
y = 200
Step-by-step explanations:
Selling price:
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Total Revenue = $400
Total Profit = $265
Let
Number of CD's = x
Number of program's = y
(0.5y + 5x) = 400
0.5y = 400 - 5x
y = (400 - 5x) / 0.5
y = 800 - 10x (1(
Cost of production:
1.75x + 0.15y
Profit = Total Revenue - Total cost of production
5x + 0.5y - 1.75x + 0.15y = 265
3.25x + 0.35y = 265 (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
Divide both sides by -0.25
x = -15/ -0.25
x = 60
y = 800 - 10x
= 800 - 10(60)
= 800 - 600
= 200
y = 200
Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2
Step-by-step explanation:
2x +1= 0.5x - 2
X = - 2
y = 0.5x (- 2) - 2
y = - 3
( x, y ) = ( -2 , -3 )
hope it helps!
Pueden responder rápido por favor? tengo hasta las 10 :v
Para preparar una ración se utilizan tres cereales: A, B y C. La ración I tiene 20 Kg del cereal A, 50
Kg del cereal B y 100 Kg del cereal C. La ración II tiene 35 Kg del cereal A, 60 Kg del cereal B y 80
Kg del cereal C. La ración III tiene 45 Kg del cereal A, 45 Kg del cereal B y 50 Kg del cereal C. Se
tiene 36000 Kg del cereal A, 40000 Kg del cereal B y 48000 Kg del cereal C. ¿Cuántas unidades
de cada ración se pueden preparar si se utiliza todo el cereal disponible?
Answer:
what are u saying I asked my Spanish teacher and she said...
Step-by-step explanation:
its D idn why hm any way have a great day if u can understand what I'm saying :D
What is the value of x?
Sum of three angles in the triangle equals to 180.
70+30+x=180
100+x=180
x=180-100
x=80
Therefore, the answer is 80.
Plsssss help I needdd help
Answer:
';ouiehdgfw;i[hgvc
Step-by-step explanation:
its very good have patience gurrrrrrrrrl lol
Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help
Answer:
see explanation
Step-by-step explanation:
area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4x - 6 and h = 2x - 3 , then
A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL
= [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute
= 4x² - 12x + 9
----------------------------------------------------------
Area of rectangle CBFG is calculated as
A = lb ( l is length, b is breadth )
Here l = 4x - 6 and b = 3x - 2, then
A = (4x - 6)(3x - 2) ← expand using FOIL
= 12x² - 26x + 12
----------------------------------------------------------
Area of trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then
A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)
= [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL
= [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute
= 6x² - 5x - 6
If u can guess the number I’m thinking of you will get brainliest. 1-20
Also if u dig a 6 feel hole how deep is that hole?
im guessing 12
and if you dig a 6 feet deep hole its 6 feet
Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.
Answer:
D: The area of the base.
Step-by-step explanation:
The volume of a triangular based pyramid is represented by the formula given that the question as:
V = 1/3BH
where B = Base area of the triangular based pyramid
H = Height of the triangular based pyramid.
Hence, option D is correct
B = The area of the base.
So if 15 + 5 is 20 and 30 + 30 is 60 then what is 9 + 12 x 15 plus if red is blue are purple then what is 2 + 5 = ? (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9
Answer:
Step-by-step explanation:
Given that:
If 15 + 5 is 20 and 30 + 30 = 60
Then what is 9 + 12 x 15
This is a simple Arithmetic calculation which can be determined by using BODMAS ( Bracket of Division Multiplication Addition and subtraction)
= 9 + 12 × 15
The first step is to multiply 12 by 15
= 9 + 180
The add both values together
= 189
However, if (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9
And we are given an example which says:
red + blue = purple
i.e.
1 + 5 = 6 which is true
Then; to determine, 2 + 5 = ?
SO,
2 + 5 = 7
i.e.
Orange + Blue = Pink
what is the difference between the 11th square number and the 4th square number?
Answer:1 squared 1
2 squared 4
3 squared 9
4 squared 16
5 squared 25
6 squared 36
7 squared 49
8 squared 64
9 squared 81
10 squared 100
11 squared 121
12 squared 144
13 squared 169
14 squared 196
15 squared 225
16 squared 256
17 squared 289
18 squared 324
19 squared 361
20 squared 400
Step-by-step explanation:
dude just search it up
Answer:
105
Step-by-step explanation:
The 11 th square number is 11² = 121
The 4 th square number is 4² = 16
Their difference is 121 - 16 = 105
A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.
(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.
(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?
(C) What is the expected number of eggs with rocks that Natasha will have in her basket?
Answer:
[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]
There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.
p
+
q
=
1
. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability
p
=
0.6
. Then,
q
=
0.4
. This means that for every true-false statistics question Joe answers, his probability of success
(
p
=
0.6
)
and his probability of failure
(
q
=
0.4
)
remain the same.
The outcomes of a binomial experiment fit a binomial probability distribution. The random variable
X
=
the number of successes obtained in the n independent trials.
The mean,
μ
, and variance,
σ
2
, for the binomial probability distribution are
μ
=
n
p
and
σ
2
=
n
p
q
. The standard deviation,
σ
, is then
σ
=
√
n
p
q
.
Any experiment that has characteristics two and three and where
n
=
1
is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.
Plz someone help I beggggg
Answer:
25100 i believe would be the answer
Step-by-step explanation:
Find the values of X and Y
Answer:
x=90, angle bisector theorem
y=43,
90+47+y=180
=137+y=180
y=43
A shoe box has a length five times the height and a width that is eight more than the height. Write an expression that represents the volume of the shoe box. (Hint: V=lxwxh)
Answer:
Step-by-step explanation:
Let the height = h
L = 5*h
w = h + 8
V = l*w*h
Volume = (h)*(5h)*(h +5)
Solve the following equation for I. A = 2nr + nrl. Explain each step please
Write in y=mx+b form
Step-by-step explanation:
b =-4 (y-intercept)
x =0
m = 0 (the line doesn't have a slope)
y = mx + c
y = 0(0) + (-4)
y = - 4
Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported by the graph?
I got you fam 1. (0,3) 2. (3,1)
Answer:
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no real solutions.
Step-by-step explanation:
the lines don't intersect at all so theres no solutions
Tanisha has 16 books she wants to read. She reads One Fourth of them. How many books has Tanisha read?
Answer:
Im guessing she reads 64 of the book
16 divided by 1/4 = 64
please help. i’ll give brainliest
Answer: What is the question?
Step-by-step explanation:
What is the question?
please help!
the answer is in the picture because i can’t type it out :D
Answer:
x is 20 and y is 23
Step-by-step explanation:
Answer:
x = 15
y = 4
Step-by-step explanation:
In a triangle a line parallel to any of the sides of the triangle divides the remaining two sides in the proportion. Therefore,
[tex] \frac{12}{y} = \frac{x}{5} = \frac{18}{6} \\ \\ \frac{12}{y} = \frac{x}{5} = \frac{3}{1} \\ \\ \implies \:\frac{x}{5} = \frac{3}{1} \\ \\ x = 5 \times 3 \\ \\ x = 15 \\ \\ \\ \frac{12}{y} = \frac{3}{1} \\ \\ 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4[/tex]
question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)
What is the inverse of the function f(x) = 2x-10?
Answer:
One sec
Step-by-step explanation: