logb(x-1) + logb(x+2) = logb(8-2x)
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Question 4 of 30
Find the domain of the graphed function.
Answer:
A is the answer
Step-by-step explanation:
pls help asap! i will mark brainliest!
Answer:
19 or 17
Step-by-step explanation:
find the length of x in the figure below. round your answer to 3 significant figure
Answer:
where is the figure? or tell us the area and width of the figure
Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.
Show your work for each way you find x.
Answer:
Step-by-step explanation:
plato answer
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
Answer:
8p -12Step-by-step explanation:
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
4(p + 3) +4(p - 6) =
4p + 12 + 4p - 24 =
8p -12
help algebra 2 100 points if you answer right
the second one is the answer <i think>
[tex]\\ \tt\hookrightarrow (f+g)(x)[/tex]
[tex]\\ \tt\hookrightarrow f(x)+g(x)[/tex]
[tex]\\ \tt\hookrightarrow 4x^2-5x+3x^2+6x-4[/tex]
[tex]\\ \tt\hookrightarrow 7x^2+x-4[/tex]
Option B is correct
Solve for the value of K
Answer:
k = 5
Step-by-step explanation:
The straight angle is 180º
The right angle is 90º
Therefor
(8k + 1) + 90 + 49 = 180
combine like terms
8k + 140 = 180
Subtract 140 from both sides
8k = 40
Divide both sides by 8
k = 5
Answer:
16.25
Step-by-step explanation:
Jayden needed gloves
and bought 2 packages
of gloves. There were 5
pairs in each package.
He added this to the 3
pairs of gloves he
already owned. How
many gloves did Jayden
now own?
Answer:
Jayden has 13 pairs of gloves.
Step-by-step explanation:
2 packages multiplied by 5 pairs = 10
10 pairs plus 3 pairs he already had
= 13 pairs of gloves total
ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8
Answer:
Below.
Step-by-step explanation:
Using PRT/100 = I, we can prove that x = 8.
=> 1000 x 0.65 x 8/100
=> 10 x 0.65 x 8
=> 6.5 x 8
=> £52
Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.
Tentukan Penyelesaian dari persamaan berikut
Hurry I will give brainlyest!!!!
What are the factors of this expression?
34xy
Drag all of the factors of the expression into the box.
Factors
3/4 -1 3 4 x y
34, x, y are factors of this expression.
- BRAINLIEST answerer
Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?
24.0370085031 as a whole number
Answer:
Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one
Step-by-step explanation:
what is the answer??????
Answer:
1) ⅓
2) ⅓
Step-by-step explanation:
1) The repeating decimal, 0.333333.., is the same as ⅓ when simplified.
If we express 0.333333... as a fraction to the nearest hundreths: [tex]\frac{33}{100}[/tex], and 33 is a third of a hundred, which is ⅓.
Therefore, the fraction form of 0.333333... is ⅓.
2) In order to determine the product of 4/6 and 2/4, simply multiply the numerator of both fractions together. Similarly, do the same for both denominators.
[tex]\frac{4}{6}[/tex] × [tex]\frac{2}{4}[/tex] = [tex]\frac{4 * 2}{6 * 4} = \frac{8}{24}[/tex]
Next, simplify [tex]\frac{8}{24}[/tex] by dividing it with [tex]\frac{8}{8}[/tex]:
[tex]\frac{8}{24}[/tex] ÷ [tex]\frac{8}{8}[/tex] = ⅓
Therefore, the product of [tex]\frac{4}{6}[/tex] and [tex]\frac{2}{4}[/tex] is ⅓.
one third of the result of three times a number that is increased by 12
Answer:
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
Can someone tell me what’s the answer is
Answer: I believe the answer is 50
Step-by-step explanation: I know this angle is a right angle that is split into two and since you already know what 1/2 of the angle is you just figure out how much more we need to equal to the angle in this case it’s 50
Put the following equation of a line into slope-intercept form, simplifying all fractions, 6x+4y=-12
Answer:
Step-by-step explanation:
6x+4y=-12
subtract 6x from both sides in order to move 6x to the other side.
4y=-12-6x
divide 4 from the whole equation in order to make the 4y to y.
y= -3-6/4x
and to simply
y= -1.5x-3
or y= -3/2x-3
Is this a function?
Answer:
No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.
Step-by-step explanation:
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.
Answer:
washer is 587$
Step-by-step explanation:
1000 - 175
825
825 divided by 2 than add 175 to the washers half
the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Let's assume the cost of the dryer is "x" dollars.
According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.
The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:
Cost of washer + Cost of dryer = $1000
(x + $175) + x = $1000
Now, let's solve for "x":
2x + $175 = $1000
Subtract $175 from both sides:
2x = $1000 - $175
2x = $825
Now, divide both sides by 2 to find the value of "x":
x = $825 / 2
x = $412.5
So, the cost of the dryer is $412.5.
Now, let's find the cost of the washer:
Cost of washer = Cost of dryer + $175
Cost of washer = $412.5 + $175
Cost of washer = $587.5
Therefore, the cost of the washer is $587.5.
In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.
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PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR
question 1. is 2
question 2 -13
Answer: Question 2 answer is 4 Question 3 answer is 12
Step-by-step explanation:
Question 2: 42*4=168
43*5=210
x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)
Answer:
A. (-5,3)
Honestly, that is pretty much it and uh.Yeah
ITO
Jacky starts biking to meet up with her friend. She knows that if she bikes at a speed of
10 mph he will be 3 minutes late for the meeting. Jacky also knows that if she bikes at a
speed of 12 mph, she will be there 2 minutes before they agreed to meet. How much
time does she have left before the appointed time?
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
Recall :
Distance = speed × time Let time = tAt 10mph :
Distance = 10 × (t + 3) = 10t + 30 - - - (1)At 12 mph :
Distance = 12 × (t - 2) = 12t - 24 - - - - (2)Equate (1) and (2) :
10t + 30 = 12t - 24
Collect like terms
10t - 12t = - 24 - 30
-2t = - 54
Divide both sides by - 2
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : https://brainly.com/question/25669152
Answer:
7
Step-by-step explanation:
Graph the functions to find The solution.
f(x)=x^2 - 2
g(x)= 2x + 1
Answer: Look at the picture ⬇️
5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)
Answer:
B. (3, 0)
Step-by-step explanation:
It's B. (3,0) because it's on the line of 3 and 0 aka x axis
Simplify the expression.
Step-by-step explanation:
since all base numbers have the same exponent, we can combine the base numbers first and then apply the exponent :
(12×45×50)^(1/3) = 27000^(1/3)
and remember what a 1/... exponent means : it means the root of the ... degree.
so, here we need a cubic root or a root of the third degree
[tex] \sqrt[3]{27000} = 30[/tex]
can someone please assist me in these equations!?!?! pls
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
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Mrs. O has $30 to give to students who are doing their best work so far today she has given 1/3 of the money away how much money does she have left?
Answer: $10
Step-by-step explanation: if helped pls leave a thanks <3
Answer:
$10 left
Step-by-step explanation:
1/3*30=10