This is pretty simple once you figure out the trick.
All you have to do is make the args common.
Meaning [tex]log_{6}(x + 1) + log_{6}(x) = 1[/tex] is nothing but [tex]log_{6}(x(x + 1)) = 1[/tex]
Which is nothing but: [tex]log_{6}(x^2 + x) = 1[/tex].
Now using the scorpion tail method, this equation can be reframed to being: [tex]6 = x^2 + x[/tex]. You bring 6 to the other side and it'll become: [tex]x^2 + x - 6 = 0[/tex]
Factorise it and you get: [tex](x - 2) * (x + 3)[/tex]
Henceforth, the solution would be [tex]2[/tex] and [tex]-3[/tex]. :D
Answer:
D. x = 9
Step-by-step explanation:
edge 2022
Given h(x) = 2x+3, find x when h(x) = 13.
a) 8
b) 29
c) 18
d) 5
What is the solution to the system of equations? O (-6,-) O (-2, 6) O (6,2) O (-2,-6)
Answer:
Option (1)
Step-by-step explanation:
System of equations is represented by two straight lines on a graph.
And solution of the system of equations is the point of intersection of these lines.
From the graph attached, two straight lines represent the system of equations.
And the point of intersection of these lines is the solution.
Therefore, solution of the system of equations will be (-6, -2).
Option (1) will be the correct option.
Answer:
Step-by-step explanation:
It is A on edge
How are prism and cylinders are alike ?
Answer:
They are both 3 dimensional shapes. A cylinder is essentially a prism for a circle.
Step-by-step explanation:
Step-by-step explanation:
- They are both 3 dimensional
-They both have 2 bases
In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)
Answer:
The Margin of Error E [tex]\simeq[/tex] 4.1 %
Step-by-step explanation:
Given that:
The sample size = 579
The sample proportion [tex]\hat p = 55\%[/tex] = 0.55
From the confidence interval of 95%
The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05
The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]
Thus;
The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]
The Margin of Error E = [tex]1.96 \times .020675[/tex]
The Margin of Error E = 0.040523
The Margin of Error E [tex]\simeq[/tex] 0.041
The Margin of Error E [tex]\simeq[/tex] 4.1%
A homeowner has $360 to spend on building a fence around a rectangular garden. Three sides of the fence will be constructed with wire fencing at a cost of $2 per foot. The fourth side is to be constructed with wood fencing at a cost of $6 per foot. Find the dimensions of the rectangle that will maximize the area of the rectangle.
Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
Which ordered pairs are solutions to the equation 5x+12y=15?
CAN SOMEONE PLEASE HELP ME ON THE TOP ONE !!!!!!
Answer:
[tex]the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}[/tex]
Step-by-step explanation:
[tex]the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18[/tex]
Simplify.
y = (x + 1)^2 - ____
Answer:
2
Step-by-step explanation:
on edg 2020 lol
Answer:
the person above is correct
Step-by-step explanation:
i got it right on edge
What percent of $560 is $224?
Answer:
Your answer is %40
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
Group of answer choices
True
False
Explain the reasoning of your answer above.
PLEASE HURRY!!!
Answer:
false bc the y intercept is in a different place which in return would alter the entire equation
Answer:
False. This is because -7 is not apart of the given equation, thus the equation is not similar. (rule of slope intercepts)
6/root of 12. Rationalize the denominator
Answer:
Step-by-step explanation:
hi
[tex]\dfrac{6}{\sqrt{12}}=\dfrac{2\times 3}{\sqrt{2^2\times 3}}=\dfrac{3}{\sqrt{3}}=\sqrt{3}[/tex]
thanks
Convert 70°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=-(F-32)
9
F=-C +32
5
70 °F =
Х
?
Answer:
C=(F-32)×5/9
C=(70-32)×5/9
C=38×5/9
C=21.1111
C=21°C
Helpppppppp pleaseeeee
Answer:
108 cm^2
Step-by-step explanation:
A= 1/2 b×h
so
1/2 12×18
ANSWER PLS OR NOTHING WILL HAPPEN
Answer: 8
Step-by-step explanation:
Answer:
[tex]( - 4)( - 2) = \boxed{8}[/tex]
Simplify
114
11
1
1112
01
114
0 114
0 11 12
brainliest plzzzzzzzzzzzzzzzzzz To the nearest litre, how much gasoline can
you buy with $20.00 if the price for gas is
87.5¢/L?
how is this done?
cany someone please help
Answer:
22.86 liters
Step-by-step explanation: thats the rounded up answer the full answer is 22.857142857142858
solve (x-4)^2=5.
Answers:
A. x=9 and x=1
B. x=5+(square root)4
C. x=-4+(square root)5
D. x=4+(square root)5
Answer:
don't dout yourself
Step-by-step explanation:
never give up thanks for the free points
A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den
Answer:
1,675
Step-by-step explanation:
add it
Using Pythagoras, the distance of the fox from its den would be 533.26 yards
Hypotenus = 900 yards Adjacent = 725 yards Distance from den = oppositeOpposite = √hypotenus² - adjacent²
Distance = √(900)² - (725)²
Distance = √810000 - 525625
Distance = √284375
Distance = 533.26 yards
Therefore, the fox is 533.26 yards from his den.
Learn more : Opposite = √hypotenus² - adjacent²
If a vector that is 1cm long represents a velocity of 10 km / h, what velocity does a vector 2 m long drawn to the same scale represent?
Answer:
V = 2000 km/h
Step-by-step explanation:
Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm
then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)
then we have to solve the following proportion to obtain the velocity "V":
10 km/h / 1 cm = V / 200 cm
multiply both sides by 200 to solve for V:
V = 2000 km/h
In ΔGHI, the measure of ∠I=90°, the measure of HI=47 Feet, and IG = 93 feet. Find the length of ∠G to the nearest degree
Answer:
27.0
Step-by-step explanation:
Tan G= opposite/adjacent=47/93
Tan G=47/93
G=tan ^-1(47/93)
G=26.811~26.8 degree
G=26.811 and/or 26.8
Question 1:
S = {0,1}
Is Set S closed under addition?
Why or why not?
9514 1404 393
Answer:
no; 1+1=2, a number not in the set
Step-by-step explanation:
A set is closed under addition if the addition of any two members of the set results in a member of the set.
0 + 0 = 0 . . . in the set
0 + 1 = 1 . . . in the set
1 + 0 = 1 . . . in the set
1 + 1 = 2 . . . not in the set. The set is not closed under addition.
A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do not play an instrument.
Given:
A random survey of 30 students found that 17 played a musical instrument.
Total number of students = 450
To find:
Estimated number of students who do not play an instruments.
Solution:
A random survey of 30 students found that 17 played a musical instrument.
Let E be the event that student play an instrument.
So, probability that a student plays an instrument is
[tex]P(E)=\dfrac{17}{30}[/tex]
Probability that a student do not play an instrument is
[tex]P(E')=1-P(E)[/tex]
[tex]=1-\dfrac{17}{30}[/tex]
[tex]=\dfrac{13}{30}[/tex]
Now, number of students who do not play an instruments is
[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]
[tex]450\times P(E')=195[/tex]
Therefore, 195 students do not play an instrument.
Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17
RT = ___
RS = RU...Reason?
RT = ___ and Reason?
RST = RUT...Reason?
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
help me answer, please!
Answer:
Step-by-step explanation:
4). Domain: ( - ∞ , ∞ )
Range: [ - 4 , ∞ )
5). Domain: ( - ∞ , ∞ )
Range: ( - ∞ , ∞ )
What is the value of the function at x=−2?
Answer:
y = 3
General Formulas and Concepts:
Reading a Cartesian PlaneReading and labeling coordinatesStep-by-step explanation:
The question is asking us what the y-value is when x = -2.
According to the graph, when x = -2, y = 3.
Therefore, y = 3.
If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes
Answer:
c
Step-by-step explanation:
just took the quiz
Answer:
The answer is C) factor by grouping
Step-by-step explanation:
Edge 2020
shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?
Answer:
Sasha stopped working at 12:10 PM
Step-by-step Explanation
8:30 + 3 hours and 40 minutes = 12:10 PM
Mark as brainliest if it's right!
Answer:
12:10 p.m
Step-by-step explanation:
3 hours from 8:30 is 11:30 a.m.
Now we add 30 minutes to 11:30 and you get 12:00
Add the remaining 10 minutes and you get 12:10 p.m
I hope this helped, please mark Brainliest, thank you!
Luke likes running. He runs 2 1⁄2 miles every 1⁄2 hour. Complete the table to find out how far he runs in each time interval. Which one shows his unit rate (miles per hour)?
You are given $90 for lunches for a month. You spend some of the money the
first day and you spend $23 the second day. If you have $59 for the rest of the
month to spend on lunch, how much did you spend the first day?
Answer: 8 dollars
Step-by