Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5
A company earns $150 a week for 9 weeks. It then has a loss of 565 a week for 25 weeks. At the end of the 34 weeks what is the company's
balance?
Answer:
54
Step-by-step explanation:
multiply 9 and 7 which is 63. then multiply 63 by 150 which is 9,450. then multiply 25 and 7 which is 175. then divide 175 and 9,450. and the answer is 54. Yw!!
We need to write and solve an algebraic equation to find the final company's balance.
The answer is: The final balance is -$275.
Let's see how to get that.
First, we know that the company earns $150 per week for 9 weeks, then the total amount of money that the company earns in these 9 weeks is:
$150*9 = $1,350
Then the company losses $65 per week for 25 weeks, then the amount that the company losses is:
$65*25 = $1,625
The final balance will be the difference between what the company earned and what the company lost, then the final balance is:
balance = $1,350 - $1,625 = -$275
This means that the company's final balance is -$275.
If you want to learn more, you can read:
https://brainly.com/question/24770120
ASAP
Which numbers are solutions of 4p+6<3p?
Choose exactly two answers that are correct.
−12
−9
−6
6
Answer:
See below
Step-by-step explanation:
Solving inequality:
4p + 6 < 3p4p - 3p < 6p < 63 of provided answers are correct:
-12, -9, -6If given correct, any combination of two can be shown as answer:
-12, -9-12, -6-9, -6Answer:
-12 and -9
Step-by-step explanation:
I just answered the problem on a quiz
I don’t know how to do this one.
Answer:
(a) The unit circle is centered at (0,0) with a radius of 1.
(b) The equation of a circle of radius r, with a center located at (0,0):
x²+ y² = r².
(c) (i) P(1,0)
(ii) P(0,1)
(iii) P(-1,0)
(iv) P(0,-1)
Step-by-step explanation:
Part (a)
The unit circle is centered at (0,0). This point is the origin.
The radius of the unit circle is 1
The term "unit" means "one", which describes the radius length.
=========================================================
Part (b)
The equation of the unit circle is x^2+y^2 = 1
The general equation of any circle is (x-h)^2+(y-k)^2 = r^2
In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.
=========================================================
Part (c)
The following four points are on the unit circle
(1,0)(0,1)(-1,0)(0,-1)As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.
For example, if we know x = 1, then...
x^2+y^2 = 1
1^2+y^2 = 1
1+y^2 = 1
y^2 = 1-1
y^2 = 0
y = sqrt(0)
y = 0
Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.
Don’t understand b) pls explain
Answer:
−s2+2st−t2−s+t
Step-by-step explanation:
−(s−t)−(s−t)2
distributed would be
−s+t+−s2+2st+−t2
Answer:
Below in bold.
Step-by-step explanation:
-(s - t) - (s - t)^2 Take out (s - t):
= (s - t)( -1 - (s - t)
= (s - t)(t - s - 1). <---- Factored form.
Or, if you want to expand the expression:
-(s - t) - (s - t)^2
= - s + t - (s^2 - 2st + t^2)
= -s^2 + 2st - t^2 - s + t.
I WILL GIVE EXTRA POINTS AND BRAINLIEST HELPPP PLEASE!!!! SHOW ALL WORK!!!
Solve All 4!!
Answer:
#27 is 2x+5°=5
x+59°=59
#28 is x+64°=64
3x+26°= -26
#29 is 2x+17°=17
x+77°=77
#30 is x+97°=97
2x+32°=32
Step-by-step explanation:
remember what i told you +=positive -=negative
hope this helped you out!
What is the value of the following function when x = 0?
5
4
Q
NO
2
3
4
5
x
O y=-5
O y=-2
O y=-1
V=
Answer:
so I am not sure what fiction you are talking about but in order to solve you would substitute 0 in for x in the function. this would represent the y intercept.
what is 13,899 rounding to the thousands
Answer: 14,000
...............................
Answer:
Step-by-step explanation:
round 13,899 to the nearest thousands which would be
14,000
12x ÷ 4y (if x = -8 and y = 3)
Answer:
- 8
Step-by-step explanation:
Step 1:
12x ÷ 4y Equation
Step 2:
12 ( - 8 ) ÷ 4 ( 3 ) Input x and y
Step 3:
- 96 ÷ 12 Multiply
Answer:
- 8 Divide
Hope This Helps :)
Find all the factors of 125
Answer:
1,5,25,125,
all can be added or multiplied to equal 125
Which binomial is a factor of the following quadratic? K2-12k+36
9514 1404 393
Answer:
(k -6)
Step-by-step explanation:
The given quadratic is a perfect square, so has one repeated binomial factor:
k^2 -12k +36 = (k -6)^2
WILL GIVE BRAINLIEST!
The estimated total cost, y, of a child's toy is partially based on the number of batteries used, x. The cost per battery is $0.50. They toy itself costs $15. Which equation represent the situation?
a
y = 0.50x - 15
b
y = 15x - 0.50
c
y = 15x + 0.50
d
y = 0.50x + 15
Answer:
D: 0.50x+15
Step-by-step explanation:
batteries used(each)- x, so you add the x in front of 0.50 representing multiplication between the #
you are doing total cost so you are doing addition (obvously) then its a plain $15 for the toy itself therefore,
y=0.50x+15 (hope this made sense)
The value of 8 in 8596 is blank the value of 8 in 985
You earn $9.50 per hour at your summer job. Write and solve an inequality to find the number of hours you need to work to buy a camera that costs $247. define the variable. create an inequality. Solve.
Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}
{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)
Answer:
I would assume {0, 2, 3, 5}
Step-by-step explanation:
I would assume that answer because all three are given in the range of the given data set.
Answer:
The answer is [0] (D)
Step-by-step explanation:
Given the fact that the Range is Y value, we see 0,0,0,0
So its 0
Write thirty eight thousandths as a decimal
Answer:
0.0038
Step-by-step explanation:
The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.
A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than one
office
11 members and we have to pick three without replacement.
[tex]_{11} C_{3}[/tex] = 165
There are 165 possible sets of officers
Answer the following question. What is 6x-7-12x+3?
Answer:
-6x-4
Step-by-step explanation:
Combine 6x and −12x to get −6x.
−6x−7+3
Add −7 and 3 to get −4.
−6x−4
Answer:
-6x-4
Step-by-step explanation:
6x-12x
-6x
-7+3
-4
-6x-4
A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of two-person families in this town is given in the file. Assume the national average amount spent on food for a four-person family is $150.
a. Identify the null and alternative hypotheses for this situation.
b. Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
c. For which values of the sample mean (e.g., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? For which values of the sample mean would you reject the null hypothesis at the 10% level?
Family Weekly food expense
1 $198.23
2 $143.53
3 $207.48
4 $134.55
5 $182.01
6 $189.84
7 $170.36
8 $163.72
9 $155.73
10 $203.73
11 $191.19
12 $172.66
13 $154.25
14 $179.03
15 $130.29
16 $170.73
17 $194.50
18 $171.14
19 $175.19
20 $177.25
21 $166.62
22 $135.54
23 $141.18
24 $158.48
25 $159.78
26 $157.42
27 $98.40
28 $181.63
29 $128.45
30 $190.84
31 $154.04
32 $190.22
33 $161.48
34 $113.42
35 $148.83
36 $197.68
37 $135.49
38 $146.72
39 $176.62
40 $154.60
41 $178.39
42 $186.32
43 $157.94
44 $116.35
45 $136.81
46 $195.58
47 $129.44
48 $146.84
49 $165.63
50 $158.97
51 $210.00
52 $175.46
53 $159.69
54 $154.56
55 $152.95
56 $177.30
57 $129.23
58 $127.40
59 $167.48
60 $183.83
61 $157.39
62 $163.24
63 $165.01
64 $137.43
65 $177.37
66 $142.68
67 $150.04
68 $161.44
69 $166.13
70 $190.96
71 $187.19
72 $116.63
73 $159.73
74 $159.64
75 $142.44
76 $153.03
77 $143.12
78 $156.35
79 $182.70
80 $129.03
81 $119.06
82 $137.99
83 $144.20
84 $183.51
85 $169.67
86 $134.66
87 $202.94
88 $143.43
89 $170.52
90 $139.53
91 $159.31
92 $134.77
93 $165.48
94 $127.20
95 $168.16
96 $125.39
97 $167.96
98 $178.64
99 $134.38
100 $111.87
Step-by-step explanation:
H0: u = 150
H1: u ≠ 150
Total sum = 15933.24
N = 100
Mean = 15933.24/100
= 159.3324
σ² = 25954.03 - (159.3324)²/100
σ² = 556.213
σ = √556.213
σ = 23.8162
Testing hypothesis
t = (bar x - u)/ σ/√n
= 159.3324-150/23.8162/√100
= 3.91
We will have a p value of 0.02
0.0002 < 0.01
We reject null hypothesis at 1% level of significance
C. Mean = 159.3324
Se= 2.3936
Df = 100-1 = 99
Critical value at 0.01 = +-2.626
T = x-u/s.e
= -2.626 =( x -150)/2.3936
When we cross multiply and solve this
X = 143.714 for the lower tail
2.626 = (x-159)/2.3936
= 156.286 for upper tail.
We therefore reject H0 at
Bar X <= 143.71
Bar X >= 156.286
At 10%
Critical t = 1.660
-1.660 = (x - 150)/2.3936
Solving this ,
X =146.02 at the lower tail
1.660 = (x-150)/2.3936
X = 153.97
We reject H0 at
X<= 146.03
X>=153.97
Help please I’m gonna fail
Answer:
Step-by-step explanation:
1) 0
2) 19
3) -6
4) -27
5) -35
6) 20
7) -75
8) -8
9) 183
10) 0
please give award!
Holi holi Holi holi Holi holi les voy decir mi tik si tengo segui
Answer:
yeah i understand that
Step-by-step explanation:
holiiiiiiiiiiii
Step-by-step explanation:
Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?
Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?
Answer:
18= 4+ x
Step-by-step explanation:
Please help me answer this :)?
Maliah goes to an electronic store. Let y represent the price of a laptop and let x
represent the price of a television. The equation y= 3x + 22 relates the prices.
Which of the following statements are true? Select all that apply.
Answer:
A and C if this was ABCDE
Step-by-step explanation:
150 times 3 plus 22 would equal 450 plus 22 which is 472,
265 times three is 795 plus 22 is 817,
for the BDE, 175 times 3 is 525 plus 22 is 547, 300 times 3 is 900 plus 22 is 922, and 345 times 3 is 1035 plus 22 is 1057
31. Find the value of each variable.
Answer:
z = 50
x = 26
Step-by-step explanation:
set 3z + 10 = 4z - 40 and solve: z = 50
create equation for 5x:
5x + 50 = 180, solve: x = 26
What is the point of an object where the force of gravity is considered to act?
Answer:
center of gravity
Step-by-step explanation:
What angle would it be?
Please solve for x and is it complementary or supplementary
Which is the solution set of the inequality 15 y minus 9 less-than 36
Answer:
Someone hurry and help me and this person answer this becuase this s on my test and we need help
Step-by-step explanation:
Answer:
C. y<3
Step-by-step explanation
got it right on edge
The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
represents the possible storage temperatures F (in degrees Fahrenheit) of the squash.
Answer:
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)
Where:
[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.
[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.
Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 50\,^{\circ}F[/tex]
Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 55.4\,^{\circ}F[/tex]
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]