Answer:
x=3
Step-by-step explanation:
log (x^2 - 1) - log (2x + 2) = 0
Add log (2x + 2) to each side
log (x^2 - 1) = log (2x + 2)
Since the logs with the same base are equal the x^2 -1 must equal 2x+2
x^2 -1 = 2x+2
Subtract 2x+2 from each side
x^2 -1 -2x-2 = 2x+2 -2x-2
x^2 -2x-3 = 0
Factor
What number multiplies to -3 and adds to -2
-3 *1 =-3
-3+1 =-2
(x-3) (x+1) =0
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
Check to see if solutions are valid
x = -1
log ((-1)^2 - 1) - log (2*-1 + 2) = 0
log(0) - log 0 = 0
Log 0 is undefined x =-1 not a valid solution
x = 3
log ((3)^2 - 1) - log (2*3 + 2) = 0
log(8) - log 8 = 0
valid
A music company offers lessons. They charge a registration fee $30 and the $40 per lesson. The equation y=40x+30 represents the total cost y of x lessons.
What is the y intercept and what does it represent in the context of the problem?
What is the slope and what does it represent in the context of the problem?
What is the total cost if 6 lessons where taken?
Answer:
The y-intercept is 30 and represents the registration fee
The slope is 40 and represents the cost per lesson
The total cost of 6 lessons is $270
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line ⇒ rate of changeb is the y-intercept ⇒ initial value∵ A music company charges a registration fee of $30 and $40 per lesson
∵ The equation y = 40x + 30 represents the total cost y of x lessons
→ By comparing it with the form of the linear equation above
∴ m = 40
∴ b = 30
∵ b represents the y-intercept
∴ The y-intercept is 30
∵ The y-intercept is the initial value (value y at x = 0)
∴ The y-intercept represents the registration fee
∵ m is the slope
∴ The slope is 40
∵ The slope represents the rate of change
∴ The slope represents the cost per lesson
∵ x represents the number of lessons
∵ The number of lessons is 6
∴ x = 6
→ Substitute x by 6 in the equation to find the total cost of 6 lessons
∵ y = 40(6) + 30
∴ y = 240 + 30
∴ y = 270
∵ y represents the total cost
∴ The total cost of 6 lessons is $270
subtract: 5/8 - 1/4
A. 1/4
B. 3/8
C. 1/2
D. 3/4
Answer:
B
Step-by-step explanation:
I checked it and it is right hope this helps!
Answer:
Step-by-step explanation:
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
its b
Step-by-step explanation:
i need points sorry
A recipe requieres 1/2 cup of flour for every batch of cookies. How many full batches of cookies can be made with 5 1/2 cups of flour?
(Hint: How many 1/2's are in 5 1/2?)
When you isolate the variable, the goal is to get the variable
A
to equal 1.
B
on both sides of the equal sign to show they are equal.
C
by itself on one side of the equal sign and a value on the other.
D
by itself on one side of the equal sign and zero on the other side .
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
You isolate the variable on one side to see what number it is equal to.
Answer: C.
Cual es el tiempo que debe transcurrir para que un préstamo de $ 160.000 genere un interés de $ 15.000 a una tasa del 5,5% de interés simple.
Answer:
2 años.
Step-by-step explanation:
De la pregunta anterior, se obtuvieron los siguientes datos:
Principal (P) = $ 160,000
Intereses (I) = $ 15,000
Tasa (R) = 5,5%
Tiempo (T) =?
Así, podemos obtener el tiempo que tarda el préstamo de $ 160.000 en generar un interés de $ 15.000 a una tasa de interés simple del 5,5% de la siguiente manera:
I = PRT / 100
15000 = 160000 × T × 5.5 / 100
15000 = 880000 × T / 100
15000 = 8800 × T
Dividir ambos lados por 8800
T = 15000/8800
T = 1,7
T ≈ 2 años
Por lo tanto, tomará aproximadamente 2 años.
Anyone knows how to do this? Pls help
Answer:
E1488
Step-by-step explanation:
Since its E1200,
we find the total.
Total= time times money times interest.
1200*0.08 ( thats 8%) *3.
So, we multiply 1200*0.08*3.
the answer is 288.
1200+288 is 1488.
Hope this helps plz hit the crown :D
En una tienda se venden dulces nacionales y extranjeros en una proporción de 7:3.
Si en total se vendieron 450 dulces en un día. ¿Cuántos dulces nacionales y
extranjeros se vendieron?
Please answer these!I will mark the brainiest!!
Answer:
Step-by-step explanation:
i dont have paper with me rn so i cant actually write the equations, but slope intercept is y=mx+b form so all you have to do is find the slopes (y2-y1/x2-x1) and plug a coordinate into point slope form. simplify and rearrange to y=mx+b form. hope this helped
what is the slope of a line that passes through (-1,4) and (4,9)
Answer:
1
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(9 - 4) / (4 + 1)
5 / 5
= 1
So, the slope is 1.
7/12 divided by 5/9 in its simplest form
Answer: 1 and 1/20th. Don’t know if it’s in simplest form tho
Step-by-step explanation:
7/12 divided by 5/9, in its simplest form, is 21/20.
Given that we need to divide 7/12 by 5/9,
The reciprocal of a fraction is obtained by interchanging the numerator and the denominator.
So, to simplify 7/12 divided by 5/9, we multiply 7/12 by the reciprocal of 5/9:
7/12 ÷ 5/9 = 7/12 × 9/5
Next, we multiply the numerators and denominators:
(7 × 9) / (12 × 5) = 63/60
To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:
63/60 = (63 ÷ 3) / (60 ÷ 3) = 21/20
Therefore, 7/12 divided by 5/9, in its simplest form, is 21/20.
Learn more about Division click;
https://brainly.com/question/2273245
#SPJ6
−2y−8+4y using distributive property
Hello
-2 y - 8 + 4y
= -2y + 4y -8
= 2y -8
or
2(y-4)
good day
Answer:
hope this is what you wanted
Step-by-step explanation:
simplified=2y-8
factored=2(y-4)
scott Consider the table below that represents a function Which number(s) below can be placed in the empty cell so that the table continues to represent a function? Select all that apply. 1.-16 2.-12 3.-8 4.19 5.20 6.43 7.47
Answer:
so sorry about the other guy point stealing they did it to me too here is the real answer
Step-by-step explanation:
Answer:
-8, -3, 2, and 15
Step-by-step explanation:
It's because you cannot have two of the same input with two different outputs.
all credit to this goes to user:happymindcraftnerd
PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?
no, the answer is not sixty!!
The Candle Company is having its seminual sale. All items are 40 percent off. If the original price of a candle basket is $120, what is the sale price
Answer:
the sale price would be $48
Step-by-step explanation:
To get the sale price you would have to find the decimal form of 40 which is 0.40. Then you multiply 0.40 by 120. And that is 48.00. So than the $48.00 becomes the sale price.
Hope that helps :)
PLZZZZZZZZZ HELP!!!
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
the answer choice is B.
A cafe is open for six days a week. There was a mean number of 86 customers for five days. On the next day there were 122 customers. What is the mean number of customers over the six days?
Answer:
92
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The sum of customers over the 5 days is
[tex]\frac{sum}{5}[/tex] = 86 ( multiply both sides by 5 )
sum = 430
Thus mean over the 6 days is
mean = [tex]\frac{430+122}{6}[/tex] = [tex]\frac{552}{6}[/tex] = 92
Which of the following equations is parallel to the line y=−14x+7 and passes through the point (−12,12)?
A
y=4x+60
B
y=4x−60
C
y=−14x+9
D
y=−14x−9
Answer:
d
Step-by-step explanation:
I need help with these questions
Answer:
i really dont know to be honest
if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?
Answer:
Step-by-step explanation:
f(x)=[tex]e^{x}[/tex]
g(x)= x-4
g∅f(x) = [tex]e^{x}[/tex]-4
Answer:
(g•f)(x)=e^x -4
Step-by-step explanation:
A car travels for x hours at a speed of (x + 2) km/h. If the distance
travelled is 15 km, write down an equation for x and solve it to find
the speed of the car.
Step-by-step explanation:
S = v/t
(x+2)km/h
((x+2)×1000)/(60×60) = (15×1000)/(60×60)
(5(x+2)/18) = 25/6
30(x+2) = 18×25
x+2 = 15
x = 13m/s
Akira is folding a piece of paper that is 0.2 millimeters thick in half. The thickness of the paper doubles with each fold.
Let n represent the fold number and t (n) represent the thickness of the paper.
Which exponential function represents this scenario?
A t(n) = 1/2 (0.2)"
B
t(n) = 0.2(2)”
с
t(n) = 0.2()"
D
t(n) = 2(0.2)”
( the " are n)
Answer:
B. t(n) = 0.2(2)ⁿStep-by-step explanation:
Initial value is 0.2 and increase rate is powers of 2 as it doubles with each fold.
Correct one is:
t(n) = 0.2(2)ⁿHelp needed ASAP! Please
Answer:
Infinite amount of solutions
Step-by-step explanation:
This is because 3(x+5) = 3x+15
so then it would be 3x+15=3x+15
Any number in the X place would make this statement true
Answer: Infinitely Many solutions
Step-by-step explanation:
you distribute the 3 to ‘x’ and ‘15’ getting 3x + 15 on the right side. All together the equation is:
3x + 15 = 3x + 15
so no matter what number you decided to add, it’ll be the same answer, therefore making it infinitely solutions.
3x – 17 = 4 X = whats the answer to this
Answer:
x=-17
Step-by-step explanation:
Answer:
[tex]3x - 17 = 4x \\ \\ 3x - 4x = 17 \\ \\ x = - 17[/tex]
what is the answer to the question?
Answer:
[tex]sum = (n - 2) \times {180}^{0} \\ {1980}^{0} = (n - 2) \times {180}^{0} \\ (n - 2) = \frac{1980}{180} \\ (n - 2) = 11 \\ n = 11 + 2 \\ n = 13 \: sides[/tex]
A circle has a circumference of 5 π. What would the area of the circle be?
jhony has ten apples he eats 1 how many does he have left
its odd you're in high school and you're asking this but its 9
A line passes through the point (-8, -1) and has a slope of
-5/4.
Write an equation in slope-intercept form for this line.
Answer:
y=-5/4x-11
Step-by-step explanation:
Plug in (-8,-1) into the equation
Get -1=-40/4
b=-11
Final equation: y=-5/4x-11
Answer:
y= -5/4x-11 is the Correct
tape<33333333333333333333333333333333333333333333
:) :) :) :) :) :) :) :) :) :) :) :) :) :0 :) :) :) :) :) :) :) :) :) :) :) :) : ): : )
Answer:
tape
Step-by-step explanation:
tape is tape
who can give me some extra points I need it please
Answer: sometimes I do giveaways for free points on my page! I may do one later today!!
Step-by-step explanation:
Answer:
meeeee I want free points