Answers
Answer:
x = -5
Step-by-step explanation:
log5((5-3x)/((7+x)^2))=1
(5-3x)/(7+x)^2 = 5
5-3x = 5x^2+70x+245
5x^2+73x+240=0
x= -5, x= -48/5
-48/5 is extraneous
x = -5
Related Questions
5(x - 2) + x = 6(x -4)
Answers
Answer:
No solutionStep-by-step explanation:
[tex]5(x - 2) + x = 6(x -4)[/tex]
[tex]6x-10=6x-24[/tex]
[tex]6x-10+10=6x-24+10[/tex]
[tex]6x=6x-14[/tex]
[tex]6x-6x=6x-14-6x[/tex]
[tex]0=-14[/tex]
Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)
Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)
Answers
Answer:
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Step-by-step explanation:
To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.
We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]
For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]
For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]
For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]
Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].
HELP ME OUT PLEASE!!!
Which function represents the relationship between x and y?
D) y = x - 2
C) y = x + 4
B) y = 2x
A) y = x + 2
Answers
Answer:
The Answer is "A"
Step-by-step explanation:
x+2=y
Choose the equation that is modeled by the graph below:
A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4
Answers
Answer:
B - y=−2.33333x+4 I think
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answers
crossmultiply:
44k + 132 = 36k + 180
8k = 48
k = 6
? / 6 = 44 / 11
? / 6 = 4 / 1
cross multiply:
? = 24
Answer:
k=6
?=24
Step-by-step explanation:
[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]
[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]
Now we just cross multiply
44(k+3)=36(k+5)
44k+132=36k+180
Take k-values to one side
44k-36k=180-132
8k=48
k=6
Now we can use k to find ?
[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]
once simplified we get:
[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]
[tex]4 = 4 = \frac{?}{6} [/tex]
in essence we know that:
[tex] \frac{4}{1} = \frac{?}{6} [/tex]
so we can cross multiply:
?=24
Use the Pythagorean Theorem to find the distance, to the nearest tenth, between F(9,5) and G(-2, 2).
Answers
Answer:
Step-by-step explanation:
d = √((9 -(-2))² + (5 - 2)²)
d = √(11² + 3²)
d = √130
d = 11.401754250...
d = 11.4 units
Answer:
11.4 to the nearest tenth.
Step-by-step explanation:
Distance = sqrt((5-2)^2 + (9-(-2))^2)
= sqrt(3^2 + 11^2)
= sqrt 130
= 11.402
How do you make a mixed fraction and write it out as a improper fraction?
Answers
Answer:
1) Multiply the whole number part by the fraction's denominator.
2) Add that to the numerator.
3) Then write the result on top of the denominator.
Step-by-step explanation:
Hope this helps!
Answer:
Explanation
|
Step-by-step explanation:
you you multiply the whole number by the denominator and then add the numerator to that number.
20points
Which represents the restrictions on the radical inequality
Answers
Answer:
The answer is 2x>0 is the final answer. The last one.
Step-by-step explanation:
It is greater.
Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them
Answers
Answer:
addie at 4.5 candie bars and frankie had 4
Explain how to use the distributive property to find the product (3) (4 1/5)
Answers
Answer:
you didn’t answer my question correctly :(
Step-by-step explanation:
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answers
Answer:
-12x²-48x-42.5
Step-by-step explanation:
Increase £26 by 30%
Increase £440 by 19%
Decrease £62 by 20%
Decrease £300 by 48%
Answers
Step-by-step explanation:
standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation
Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now
Answers
Answer:
See belowStep-by-step explanation:
Let x or y be the variable in each case.
1. Twice the product of the numbers ... x and y (just a guess, its incomplete):
2xy2. Seven less than a number:
x - 73. The sum of three consecutive numbers:
x + (x + 1) + (x + 2)4. The sum of two consecutive even numbers is 42:
2x + 2x + 2 = 425. The sum of a number and 5 times its reciprocal:
x + 5*(1/5)6. Four more than twice a number:
4 + 2x7. The square of a number increase by five:
x² + 58. The sum of two numbers is equal to four more than their difference:
x + y = 4 + (x - y)9. Rian's age four years from now:
x + 410. Clara's age 10 year from now:
x + 10Step-by-step explanation:
1. Let, Number = x
2x
2. Let, Number = x
x - 7
3. Let,
Consecutive numbers = x, x + 1 and x + 2
x + x + 1 + x + 2
3x + 3
4. Let,
Consecutive numbers = a and a + 2
a + a + 2 = 42
2a + 2 = 42
5. Let, Number = x
Reciprocal = 1/x
x + 5/x
6. Let, Number = y
2y + 4
7. Let, Number = y
(x + 8)²
x² + 16x + 64
8. Let,
First number = x
Second number = y
x + y = 4 + (x - y)
9. Let,
Rian's age = y
y + 4
10. Let,
Clara's age = y
y + 10
The number sentence 4 × 6 = 6×4 is an example of what property?
Answers
Answer:
communtitve property of multiplication
Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8
Answers
Answer:
c 146.7
Step-by-step explanation:
cuz
find the value of 7u+7 given that -3u-5=4
Answers
Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares
Answer is C
Answers
If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.
Answer:
C. net asset value x number of shares
Step-by-step explanation:
edge 2022
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answers
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
3.In the wild, a giant panda bear's diet consists primarily of bamboo, but in a zoo, the diet
includes other foods. On the first two days of the week, the giant panda bear at your zoo eats 34
pounds of highly nutritious biscuits and 37 pounds of bamboo, respectively.
Use inductive reasoning to create two possible sequences that describe the giant panda bear's
daily diet. Write the first five terms of each sequence.
First Sequence:
Second Sequence:
Describe the pattern you used to write each sequence. Which sequence do you think is more
likely? Explain your reasoning.
Answers
The sequence gives the order in which the the different types of foods are
given to the giant panda.
The possible first five terms of the sequences are;
[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]
The sequence that is more likely is the First SequenceReasons:
Inductive reasoning is the reasoning based on the given observation
What the giant panda bear at the zoo eats on the first two days of the week are;
First day; 34 pounds of highly nutritious biscuits
Second day; 37 pounds of bamboo
Given that the number of terms in the sequence = 5
By inductive reasoning, we have;
[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]
The pattern used to write the First Sequence is as follows;
Alternating diet of biscuit and bamboo, such that the panda has a balanced diet during the 5 periods of the sequence.The pattern used to create the Second Sequence is as follow;
Alternating days in which the panda has a mixed diet of biscuit and bamboo, followed by alternating single meal of bamboo and biscuit.The sequence that is more likely is the First Sequence
The reason why the first sequence is more likely is that it ensures that the panda eats adequate amount of each diet, thereby making the panda healthier, and cleaning the zoo much easier.Learn more about inductive reasoning here:
https://brainly.com/question/2192957
https://brainly.com/question/12522297
Help please, ill give 5 stars, and brainly ofc (if correct)
Answers
Answer:
Step-by-step explanation:
part a = 1 x 4
part b = b
Answer:
y=2x+25
the graph is B.
Step-by-step explanation:
Question
Which of the following angle measures are possible for a triangle to be classified as acute? Select all that apply.
Select all that apply:
45°, 34", 101°
122, 36, 22
75°, 61°, 44°
22°, 86°, 72
Answers
Answer:
45°, 75°, 61°, 44°, 22°, 86°
Step-by-step explanation:
They have to be angles less than 90°.
Answer:
(c) 75°, 61°, 44°
(d) 22°, 86°, 72
Step-by-step explanation:
The largest angle must be less than 90°, and the sum of angles must be 180°. These conditions are met by the lists of angles shown above.
What is the value of the expression? 75÷5−[(9−7)×3]×2
Answers
Answer:
3
Step-by-step explanation:
75÷5-[(9-7)×3]×2
do innermost inclusion symbols first, which would be 9-7
75÷5-[2×3]×2
now multiply 2 and 3
75÷5-(6)×2
now divide 75 by 5
15-6×2
now multiply
15-12
3
The required simplified value of the given expression is 13.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 75÷5−[(9−7)×3]×2
Following the PEMDAS rule,
= 25 - [2×3]×2
= 25 -[6]×2
= 25 - 12
= 13
Thus, the required simplified value of the given expression is 13.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
help with this please
Answers
Step-by-step explanation:
I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.
you can do this easily and faster than in here.
it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).
-2 has 6 and 8
4 has 6 and 15
to be a function, each input value can have only one associated output value.
Kelly base 3328 cookies each year she bakes twice as many cookies in October then in the other much how many cookies does Kelly back in December
Answers
There are 12 months and twice the amount of cookies in one month is equal to an extra month. So do 3328/13=256.
I need help with 7c please
Answers
Answer:
mx x 2 x1dadqd
Step-by-step explanation:
Type the correct answer in each box.
The slope of the line shown in the graph is ___, and the y-intercept of the line is ___.
Answers
Answer:
The slope (or gradient) is 0.6 and the y-intercept is 6.
PLEASE HELP I HAVE A TIME LIMIT ON THIS!!
Answers
If y is not on its own, then the coefficient (the number before the letter) of x should be 4 times bigger than the coefficient of y
Simplify:(4x2 - 2x) - (-5x2 - 8x)
Answers
Answer 6x+18
Step-by-step explanation:
Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x
Answers
Answer:
32/60
Step-by-step explanation:
because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)
numerator: 8*4=32
denominator: 15*4=60
final equivalent fraction: 32/60
What is 2-b/3=-5/2
Please explain thoroughly and only explain the 2-step version
Answers
Multiply both sides of the equation
by 3
6 - b = -5
Move the constant to the right-hand side and change its sign
-b= -5 - 6
Calculate the difference
-b=-11
Change the signs
b=11
Answer:
b = 13.5
Step-by-step explanation:
2 -b/3 = -5/2
im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.
6 -b = -15/2
we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.
12 - 2b = -15
remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!
-2b = -27
finally, we can divide both sides by -2 and b will be isolated!
b = 13.5
ask me if you have anymore questions!