Answers
Answer:
[tex](f/g)x = \frac{x-1}{5x - 2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x - 1[/tex]
[tex]g(x) = 5x - 2[/tex]
Required
(f/g)x
In functions:
[tex](f/g)x = \frac{f(x)}{g(x)}\ \ \ g(x)\ne 0[/tex]
So:
[tex](f/g)x = \frac{x - 1}{5x - 2}[/tex]
Related Questions
Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days
Answers
the key word in this example is per, which is a key word for unit rate.
hope this helps:)
Can someone please help me
Answers
Answer:
x = 20
y = 12
Step-by-step explanation:
opposite angles are congruent so we can set up this equation:
5x + 29 = 7x - 11
29 = 2x - 11
40 = 2x
x = 20
5(20) + 29 = 129
7(20) - 11 = 129
3y + 15 = 5y - 9
15 = 2y - 9
24 = 2y
y = 12
3(12) + 15 = 51
5(12) - 9 = 51
The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula
Answers
Answer:
a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b) 0.033
Step-by-step explanation:
Let Y represents the number of judges preferring a formula.
There are total four judges and each judge can select either A or B
n = 4, p = 1/3
a) The probability function is
[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b)
Substituting the value of y -3 in above equation, we get -
[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]
A kite is shown below with given dimensions in inches. What is the area in square units
Answers
Answer:
320
80
Step-by-step explanation:
find the value of b in rectangle
Answers
Use the triangle below to answer the following questions:
Answers
Which is
45^2 - 25^2 = 1400
Now you multiply 37.42 x 37.42 which gets you 1400.2564
I’m in 8th grade by the way
Please help i will give branliest!!!
Answers
Answer:b
Step-by-step explanation:
3.5*5*.5=8.75
Use the multiplier method to decrease £56 by 14% show your working
Answers
Answer: £46.44
Step-by-step explanation:
£56 × 0.86 or (1 - 0.14)
Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?
Answers
Answer:
83 and 84
Step-by-step explanation:
these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.
Is the sum of the
angle measures always equal to the
sum of the arc measures
Yes or no ?
Answers
Yes
Explanation
I just know
si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?
Answers
Answer:
y cuál es la cantidad inicial de platos?
Analyze the diagram below and complete the instructions that follow. The diagonals of kite KITE intersect at point P.
A.16 B.26 C.52 D.71
Answers
#5
(10 pts) You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can
be represented by y = -16t² + 24t. How many seconds are you in the air?
Answers
Answer:
1.5 seconds
Step-by-step explanation:
i took a test with the same question
Answer:
1.5
Step-by-step explanation:
taking the test
An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 61% C: Scores below the top 39% and above the bottom 20% D: Scores below the top 80% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answers
Solution :
The test is distributed normally with mean of 72.8 and the standard deviation of 7.3
Finding numerical limits for the D grade.
D grade : Scores below the top 80% and above the bottom 10%.
Let the bottom limit for D grade be [tex]$D_1$[/tex] and the top limit for D grade be [tex]$D_2$[/tex].
First find the bottom numerical limit for a D grade is :
[tex]$P(X<D_1)= 0.10$[/tex]
[tex]$P(X\leq D_1)= 0.10$[/tex]
[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$[/tex]
[tex]$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$[/tex] ..........(1)
From (1)
[tex]$\frac{D_1 - 72.8}{7.3} = -1.28$[/tex]
[tex]$D_1 = -1.28(7.3)+72.8$[/tex]
= 63.45
≈ 64
Now the top numerical limit for D grade :
[tex]$P(X>D_2)= 0.80$[/tex]
[tex]$1-P(X\leq D_2)= 0.80$[/tex]
[tex]$P(X\leq D_2)= 1-0.80$[/tex]
[tex]$P(X\leq D_2)= 0.20$[/tex]
[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$[/tex]
[tex]$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$[/tex] ..........(2)
From (2)
[tex]$\frac{D_2- 72.8}{7.3} = -0.84$[/tex]
[tex]$D_12= -0.84(7.3)+72.8$[/tex]
= 66.668
≈ 67
Therefore, the numerical limit for a D grade is 64 to 67.
how do u find the angle measure of l
Answers
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answers
Answer:
3h/8+3/2
Step-by-step explanation:
Answer:
D. should be the correct answer.
PLS HELP ILL GIVE BRAINLIEST
Answers
Answer:
y= 2/7
b= 43
Step-by-step explanation:
Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *
Answers
Answer:
Step-by-step explanation:
Hindi ko alm hehe
my question is in the picture
Answers
Answer:
x = 1
y = -1
Step-by-step explanation:
-5x + 5y = -10
rewrite the order:
5y = 5x - 10
6x + 5y = 1
rewrite the order:
5y = 1 - 6x
substitute for 5y:
5x - 10 = 1 - 6x
simplify:
11x = 11
x = 1
5y = 1 - 6(1) = -5
y = -1
Express as a difference: a+b, a+5
Answers
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
I am 20 years older than twice my daughter's age how old is my daughter you should already know my age in the last problem
17 years ago I was half the age I am now how old am I
this question is 100 points
Answers
Answer:
You are 34 years old
Step-by-step explanation:
Because, 34-17=17
17 is half of 34.
2x+20=y
y-17=0.5y
+17 +17
y=0.5y+17
2(0.5y+17)+20=0.5y+17
y+34+20=0.5y+17
y+54=0.5y+17
y=34
Answer:
Step-by-step explanation:
x= "I" age
x is 20 years older than x's daughter's age.
To find out daughter's age = 17x2 (34)
34-20 = 14
The daughter is 14.
Joel races bikes. In his city, there are 4 4 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A 1 4 4 1 B 3 2 2 3 C 1 3 4 1 4 3 D 4 4 4 4 Joel races 3 3 laps in the same lane. The total distance he races is less than 3 3 miles. Which track does Joel race on?
Answers
So if Joel raced 3 laps , and the total distance is less then 3 miles then it has to be Track C.
Determine the equivalent system for the given system of equations.
4x − 5y = 2
10x − 21y = 10
A. 4x − 5y = 2
3x − y = 4
B. 4x − 5y = 2
24x − 47y = 22
C. 4x − 5y = 2
10x + 3y = 15
D. 4x − 5y = 2
14x + 26y = 12
Answers
Answer:
B) 4x − 5y = 2
24x − 47y = 22
Can you help with this I don’t know how to solve this.
Answers
Answer:
[tex]arclength = 13.44 ft[/tex]
Step-by-step explanation:
We are given PS = 28 feet, which is the length of the diameter.
The formula for arc length is [tex]2\pi r\frac{x}{360}[/tex], where x is the degrees.
So, we need to find the radius. We know that the radius is half of the diameter, so:
[tex]\frac{28}{2}=14 ft[/tex]
We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:
∠PXT + ∠TXS = 180
125 + ∠TXS = 180
∠TXS = 180 - 125
∠TXS = 55°
Now, we can use the arc length formula:
[tex]arclength=2\pi r\frac{x}{360}[/tex]
[tex]arclength=2\pi (14)\frac{55}{360}[/tex]
[tex]arclength=13.43903524...[/tex]
[tex]arclength = 13.44 ft[/tex]
Check my work to make sure! Hope this helps!
Can someone please help meeeee
Answers
Answer:
it will also measure 131 degree
hope it helps
131 degree
what is 1+1? pls, I need help. its for school
Answers
Answer:
its 2 :)
Step-by-step explanation:
Answer:
oh what a stiff XD
Step-by-step explanation:
ok 1+1=2 lol ❤️✌️ hey where you from I'm anmol kulkar from India
Can someone please help me I’m it’s kinda blurry but you have to zoom in
Answers
Answer:
1 is x=53
2 is x=37
3 is x=45
4 is x=180
5 is x=130
6 is x=90
7 is x=15
8 is x=60
9 is x=20
10 is x=140
11 is x=47
12 is x=18
Step-by-step explanation: These can all be solved using vertical angles, complimentary angle theorem, and supplementary angle theorem! Really fancy names to say that opposite angles are equal, vertical angles (like #5). Two angles that add up to 180 degrees forming a straight line, complimentary angles (like in #1). And in a right angle two angles will always add up to 90 degrees (#7 for example). 10 11 and 12 require you to use vertical angles and complimentary angles to solve them.
math HELPPP MEEEEEEEE
Answers
Step-by-step explanation :
Answer: I HAVE YOUR ANSWER!!!!!
Step-by-step explanation:
51x + 26y + 17
Help ?? Anyone and how
Answers
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
Corrie breathed 1 × 10^7 times in a year. She blinked 8 × 10^6 times that year. How many more times did Corrie breathe in a year than she blinked in that year? Write your answer in standard notation
Answers
Step-by-step explanation:
1 × 10 ^7 - 8 × 10 ^ 6
2 × 10 ^ 6 which is also equivalent to 2,000,000