Answers
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Related Questions
What’s is an equation of the Parallel line to y= -x+1 and through (4,4)
Answers
Answer:
y = -x + 8
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answers
Answer:
your answer is : 56/9 or 6 2/9
hope it help
Answer: when it is simplified its 56/9. When you converted it is 6 and 2/9
Step-by-step explanation: hope this helps :)
A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?
Answers
Answer:
56 rabbits
Step-by-step explanation:
Given that t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.
In 126 days, there are
= 126/7
= 18 weeks
It means that the rabbit population will double
= 18/6 times
= 3 times
Since there are currently 7 rabbits at the end of 6 week,
P(6) = 7 * 2
= 14
At the end of 12 weeks
P(12) = 14 * 2 = 28
At the end of 18 weeks
P(18) = 28 * 2 = 56
Hence there will be 56 rabbits at the end of 126 days
Refer to the isosceles trapezoid shown. Find x
Answers
Answer:
Hey, read below!! :)
Step-by-step explanation:
Both sides are the same length. X = 70
Plot the inequality x < 0
Answers
Step-by-step explanation:
This is saying " Every number possible thats less than, but not 0" so you show that
What is the principal square root of 36?
A. 6
B. 7
C. 8
D. 9
Answers
Answer:
A. 6
Step-by-step explanation:
square root is the number that when multplied by itself will give you the specified amount.
6 x 6 = 36
What is the perimeter of the kite?
a.44
b.140
Answers
Answer:
B.) 140 is your answer for your problem
Find the area of a circle with diameter 8 in.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answers
Answer:
Step-by-step explanation:
50.27 should be the area of a circle that has a radius of 4 in.
I have no clue and Would like some assistance
Answers
Please help :) worth more than 10 points :) Find the area of the triangle.
6 m
7 m
The area of the triangle is
(Type a whole number.)
Thank you so so so so much :) your really helping out a fellow student
Answers
13 m ...?.........;;;;;;;;;
Multiply. Write your answer in simplest form. 3/8 x 5/7
Answers
Answer:
3/8*5/7=15/56
PLEASE HELP!!!!!!! NO LINKS I will report links
Answers
Answer:
Not sure but I think
Surface area = 46
Volume = 4 2/3
Which equation matches the graph shown ?
A. Y=8x^2 +2x -5
B. Y= 8x^2 +2x +5
C. Y=2x^2 + 8x +5
D. Y=2x^2 + 8x -5
Answers
Answer:
D
Step-by-step explanation:
Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.
help pls :D
have a nice day^^
Answers
Answer:
I believe the answer is D.
Step-by-step explanation:
Hope this helps Have a great day :)
Tell whether 208 and 289 form a proportion
Answers
Answer:
You can tell if two fractions are proportional by using cross multiplication. Only equivalent fractions are proportional. To do this, multiply the denominator, the bottom number in the fraction, of the first fraction with the numerator, the top number in the fraction.
Step-by-step explanation:
How do you write 4,9000 in scientific notation?
Answers
Answer:
4.9 x 10^4
Step-by-step explanation:
[tex]4.9[/tex] × [tex]10^{4}[/tex]
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 70% pure antifreeze. The company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed
Answers
Answer:
40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.
Step-by-step explanation:
Since a chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture, and the premium antifreeze solution contains 70% pure antifreeze, and the company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze, to To determine how many gallons of water and how many gallons of the premium antifreeze solution must be mixed, the following calculation must be performed:
50 x 0.7 + 50 x 0 = 35
40 x 0.7 + 60 x 0 = 28
30 x 0.7 + 70 x 0 = 21
29 x 0.7 + 71 x 0 = 20.3
28.57 x 0.7 + 71.43 x 0 = 20
140 x 0.2857 = 40
Therefore, 40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.
Find the magnitude and directon of F +ū.
Answers
Answer:
Step-by-step explanation:
Do klasy zakupiono n stolików i dwa razy więcej krzeseł.Ile mebli zakupiono?Trzy krzesła były uszkodzone i zwrucono je do producenta.
Answers
Answer:
3n meble
3n - 3 meble pozostały
Step-by-step explanation:
n stoły
2n - 3 krzesła
n + 2n = 3n
50 POINTS ASAPP
Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4
Answers
Answer: B
x = -6
HOPE THIS HELP
PLEASSE, PLZZ HELP MEEEE.
Answers
If OK and GE are parallel, what must the length of GE be?
Answers
Answer:
let the length of GE be x,
[tex] \frac{9}{3} = \frac{x}{2} [/tex]
being similar triangle.
9×2=x×3
18 = 3x
x = 18/3
x = 6 cm
Question : Which of these stem and leaf plots would match the histogram data? Justify your answer.
Answers
Answer:
fidgety ushering txt scarecrow
Give the following sequence for f(x) = 4x^2 - x , when x is -4, 1, 2
A. 68, 14, 3
B. 7, 14, 3
C. - 64, - 14, 3
D. 58, 14, 3
Answers
Answer:
A
Step-by-step explanation:
by putting the value of x
ans was A
Please someone help
Answers
Answer:
314.2
Step-by-step explanation:
Circumference of a circle is π[tex]r{2}[/tex]
so 3.142 × [tex]10{2}[/tex]=314.2
Answer:
circumference of the circle=2πr
=2×3.142×10
=62.84 cm
i need help plzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Step-by-step explanation:
Start box
180 = 89+42+x
180-89-42=x
49 = x
2nd box
180 = 84+58+x
180-84-58=x
38 = x
3rd box
180=74+2x
180-74=2x
106/2 = x
53 = x
4th box
180=102+2x
180-102=2x
78/2 = x
39 = x
4th box
180 = 73+81 +x
180-73-81=x
26 = x
5th box
180=2*54+x
180 - 2*54 = x
72 = x
6th box
180=62-2x
180-62=2x
118=2x
118/2=x
59 = x
7th box
180 = 2*68 + x
180-2*68=x
44 = x
Is it true or false?
Answers
Answer:
true, yes
Step-by-step explanation:
Answer:
I think it's true but I could be wrong
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.
Answers
Answer:
147.7 m²
Step-by-step explanation:
Area of the triangular faces = 1/2 × base × height
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.
Hence: 1/2 × 8 × 10 = 40 m²
A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²
= 120m²
The area of the base of the pyramid is 27.7 square meters.
Hence, the surface area of the pyramid is calculated as:
Area of the 3 lateral faces of the pyramid + Base area
= 120m² + 27.7 m²
= 147.7 m²
The surface area of the pyramid is 147.7 square meters.
8,706, 2812
What is the value of 7
Answers
Answer:
7 million is the answer to this question
Help! Solve for the value of x.
Answers
Answer:
x=6 degrees
Step-by-step explanation:
I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.
That's 59. I solve for x in the equation 59=10x-1.
That is the same thing as 60=10x, which is also the same as 6=x.