[tex]h(x)=\dfrac{x^2}{8-8x}\\\\h'(x)=\left(\dfrac{x^2}{8-8x}\right)'\\\\\text{use}\ \left(\dfrac{f(x)}{g(x)}\right'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f(x)=x^2\to f'(x)=(x^2)'=2x\\\\g(x)=8-8x\to g'(x)=(8-8x)'=-8\\\\\text{substitute}\\\\h'(x)=\dfrac{2x(8-8x)-x^2(-8)}{(8-8x)^2}=\dfrac{16x-16x^2+8x^2}{(8-8x)^2}=\dfrac{16x-8x^2}{(8-8x)^2}[/tex]
Factor the expression completely.
-9.75 + 3.25x
A.
-3.25(3 - x)
B.
-0.25(39 + 13x)
C.
-3.25(6.5 + x)
D.
-0.25(-9.5 - 3x)
-9.75 + 3.25x
= -3.25(3) + 3.25(x)
= -3.25(3) - -3.25(x) notice they have the same factor of -3.25
= -3.25(3 - x)
Answer: A
20 more than half a number is at least 45 find the smallest number that means this condition
.5x>=25
x>=50
50 is the least number for x; it makes the equation equal 45
50 is the least number for x it makes the equation equal 45
A portable CD player costs $48. How much is a payment of 25% of the cost
25% is the same is 1/4 of something. So you have to find what 1/4th of 48 is. To do that, just divide 48 by 4. and you get 12.
A 25% payment on a CD player that costs $48 would be $12. Hope that helps!
what is 0.012 as a fraction
To convert 0.012 to a fraction, you multiply by 1000 to get 12/1000 and then simplify it to 3/250. Therefore, 0.012 as a fraction is 3/250.
To convert the decimal 0.012 into a fraction, follow these simple steps:
Write down 0.012 as 0.012/1.
Multiply both the numerator and the denominator by 1000 to get rid of the decimal point:
0.012 x 1000 / 1 x 1000 = 12 / 1000.
Simplify the fraction by finding the greatest common divisor (GCD) of 12 and 1000, which is 4:
(12 ÷ 4) / (1000 ÷ 4) = 3 / 250.
Thus, 0.012 as a fraction is 3/250.
Stephanie collected data about the high temperature in her city for 7 days in a row. The high temperatures for the 7 days were 70 degrees, 78 degrees, 85 degrees, 73 degrees, 65 degrees, and 89 degrees. She made the following graph to show her data.
She says the temperature in her city is pretty consistent. How could she redraw the graph so that the daily temperature doesn’t see quite so consistent?
We are given the high temperature in her city for 7 days in a row.
First day it is 70 degrees.
Second day it is 78 degrees.
Third day it is 85 degrees.
Fourth day it is 73 degrees.
Fifth day it is 65 degrees.
Sixth day it is 78 degrees.
Seventh day it is 89 degrees.
We can make a a histrogram to show that temperature doesn’t see quite so consistent.
(1.)
|x| + 5 = 18
(2.)
|y + 4| < 1
(3.)
|2t| - 5 = 7
(4.)
|a| - 3/4 = - 5/8
Gotcha!
The 1st answer is x=-13 or x=13
The 2nd answer is -5<y<-3
The 3rd answer is t=-6 or t=6
The 4th answer is a=-1/8 or a=1/8
75=3(-6n-5)
Having troubles with this one too!! XD. I’m going to fail math this year, I swear ;((
PLEASE HELP!!! A container holds 80,000 ounces of water. There is a small leak in the the container. Every 96 minutes, 1.9 ounces of water leak out. What is the total change in water after 8 hours?
What is 12:64 In lowest terms
The lowest terms would be 3/16 because you could divide top and bottom by 4
The lowest it vould be is 4:16
This is because the BCF is 4.
what is the answer to
-1 times 2
Answer:
Negative 2.
Step-by-step explanation:
2x -1 would have an outcome of a negative number since 2 is positive and one is negative. if they were both positive numbers or negative numbers then the answer would be positive
What value of x makes the equation true?
12(4x−5)+52=10
Drag and drop the correct number in the box.
x =
5 8 12 20
Answer:
The answer is 5
Step-by-step explanation:
I had the test, and what you meant was probably: 1/2(4x-5)+5/2=10
but yes, the answer is 5
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?
5,–1, –7, –13, –19, ...
5, -1, -7, -13, -19
-6 -6 -6 -6 the difference between the numbers is -6
[tex]a_{n} = a_{1} + d(n - 1)[/tex] ; where a₁ is the first term, d is the difference, and n is the term
[tex]a_{n} = 5 - 6(n - 1)[/tex]
[tex]a_{n} = 5 - 6n + 6)[/tex]
[tex]a_{n} = 11 - 6n[/tex]
f(1) = 5
[tex]a_{1} = 11 - 6(1)[/tex]
= 11 - 6
= 5
TRUE
Hey guys not sure which one plz help
Hey mate!!
Answer
4/7 and 8/14 are equivalent fractions, because they are both equal to 4/7 when they are simplified.
Correct answer is D. 8/14
Hope it helps you!
A pizza eating participant can eat 3 slices ok pizza in 2 minutes if he continues at this rate then how many slices of pizza will he eat in 10 minutes
at this rate, he can eat 15 slices of pizza in 10 minutes **wow!!**
we can do this by setting it up as a proportion: 3slices/ 2 minutes= ?/1 minute
we divide 3 by 2 to get how many slices he can eat in one minute, which is 1.5
so, now, we just have to multiply 1.5 times 10 minutes, and we get 15 slices of pizza per 10 minutes
Which expression can be used to convert 22 Australian dollars to US dollars
The expression is
[tex]AUD/1.38 = USD[/tex]
ExplanationStep by step conversion is as following;
1 USD = 1.38 AUD, or its reciprocal
Where,
1.38 recent currency rate
AUD = Australian dollar
USD = US dollar
So, by rearranging
[tex]1 AUD = 1/1.38 USD[/tex]
Then
[tex]22AUD/1.38 = 15.94 USD[/tex]
The answer is
[tex]22A UD = 15.94 USD[/tex]
Number fifteen, ANSWERS TO BLANKS AND AN EXPLANATION. FIRST ANSWER THAT IS CORRECT WILL BE MARKED BRAINLIEST!
To get from 60 to 100 you multiply by .6, so to get from 36 to what the first place would get you multiply by .6 and you get 60. Hopefully it helps!
Help me with number one please !! What’s the answer ? Please please help
A garage door opener has a ten number keypad. Codes to open the door must consist of 5 digits with no adjecent digits the sane. How many codes are possible?
1st slot: 10 possibilities
2nd slot: 9 possibilities
3rd slot: 9 possibilities
4th slot: 9 possibilities
5th slot: 9 possibilities
10 * 9 * 9 * 9 * 9 = 65610 Possibilities
The total number of possible 5-digit codes for the garage door opener, where no two adjacent digits are the same, is 59,049.
Explanation:This is a combinatorics problem in mathematics. A simple way to solve this problem is to calculate the total number of 5-digit code combinations possible without any constraint, which is 10^5 = 100,000.
However, the condition given in the problem is that no two adjacent digits can be the same. The possible codes for the first digit are 10 (0-9). For the second digit, because it cannot be the same as the first, there are 9 possibilities, the third digit also has 9 possibilities because it cannot be the same as the second, and so on.
Therefore, the total number of possible codes is 10 * 9 * 9 * 9 * 9 = 59,049. Hence, the garage door opener can have 59,049 different codes.
Learn more about Combinatorics here:https://brainly.com/question/32015929
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Mark and his friends Byron were watching a superhero movies. During the movie mark ate 5 pieces of candy . Byron ate 7 times as much candy as mark. How much candy did Byron eat.?
Final answer:
To find out how much candy Byron ate, we multiply the number of candies Mark ate, which is 5, by 7. Byron ate a total of 35 pieces of candy.
Explanation:
The question involves solving a basic multiplication problem to determine how much candy Byron ate if Mark ate 5 pieces of candy and Byron ate 7 times as much. According to the given scenario, we can represent this mathematically as:
Mark ate 5 pieces of candy. Byron ate 7 times as much candy as Mark did. To find out the total pieces of candy Byron ate, we multiply the number of candies Mark ate by 7. Therefore, Byron ate 5 pieces × 7 = 35 pieces of candy.
This arithmetic calculation shows us Byron's total candy consumption during the movie.
what is 4 to the -5th power
Answer: [tex]\frac{1}{4^5}[/tex] because any exponent that is a negative has to be brought down.
hope that helps :)
Answer:
The answer is 1/45
Step-by-step explanation:
Math word problem. Mike paid $59.00 for a bike. He paid with FOUR bills. What were the bills? Tell me the denomination of each bill and how many were used. Make sure to explain to me how you know this and how it totals $59.00
The bike costs $59.00
We need four of bill denomination which have sum of $59
The answer will be $50 + $5 + $2 + $2
Which expression can be used to find 80% of 120?
120*0.8 is the expression, because you can put 80% as 80/100 and that is equal to .8 so you just put that in a calculator and thats your answer. Hope that helped :)
Answer:
[tex](0.80)120[/tex]
Step-by-step explanation:
We are asked to find an expression that represents 80% of 120.
We know that % means per hundred. 80% would be 80 divided by 100.
[tex]80\%\text{ of }120=\frac{80}{100}\times 120=(0.80)120[/tex]
Therefore, the expression [tex](0.80)120[/tex] represent 80% of 120.
write and solve an equation based off the verbal phrase: the difference between 7 and the product of 3x is 23
wx + yz = h, solve for z
Wx + yz = h
yz = h - wx
z = (h - wx) / y
Answer
z = (h - wx) / y
Ann’s car used 7 gallons of gas during a trip how far did Ann drive
i think its 48 miles
You saw on the previous page that 2/11=0.18. Show how you can use what you know about the decimal for 2/11 to find the decimal for 1/11
1/11 is half of 2/11. (1/11 + 1/11 = 2/11)
As 2/11 = 0.18, 1/11 must equal half of 0.18.
Half of 0.18 is 0.09. Thus the decimal for 1/11 is 0.09.
Answer:
The decimal for 1/11 is 0.09
Step-by-step explanation:
We have two options to get the answer, the first one is when we know that 1/11 is half of 2/11, so 1/11 will be half of 0.18. We have to divide 0.18 by 2:
0.18÷2 = 0.09
The other way to do it is to divide 1÷11 = 1/11
The answer is 0.09
what is the answer of this question2(5x-4)≥6+12
answer: x ≥ 13/5
work:
2 (5x − 4) ≥ 6 + 12 | distribute 2 into the parentheses.
10x - 8 ≥ 6 + 12 | add 12 and 6.
10x − 8 ≥ 18 | add -8 and move it over to 18, and solve.
10x ≥ 26 | divide by 10 to 26
x ≥ 13/5 | final answer.
hope this helps! ❤ from peachimin
Solve −4(x + 10) − 6 = −3(x − 2). (1 point)
Hey there!!
Given equation :
... -4 ( x + 10 ) - 6 = -3 ( x - 2 )
Using the distributive property :
... -4x - 40 - 6 = -3x + 6
Combining like terms :
... -4x - 46 = -3x + 6
Adding 46 on both sides :
... -4x = -3x + 52
Adding 3x on both sides :
... -x = 52
... x = -52
Hope helps!
4. Solve the following inequality: 3y-1 less than 3
3y - 1 < 3
Isolate the y. Treat the less than or equal like an equal sign.
Do the opposite of PEMDAS. First, add 1 to both sides
3y - 1 (+1) < 3 (+1)
3y < 4
Next, divide 3 from both sides
3y/3 < 4/3
y < 4/3
y < 4/3 is your answer
hope this helps
81x-27, apply the distributive property to factor our of the greatest common factor
The greatest common factor of the expression 81x - 27 is;
⇒ 27 (3x - 1)
What is Greatest common factors?
The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The expression is;
⇒ 81x - 27
Now,
Solve the expression for the greatest common factor as;
Since, The greatest common factor of the numbers 81 and 27 = 27
So, We take common 27 as;
⇒ 81x - 27
= 3 × 3 × 3 × 3x - 3 × 3 × 3
= 3 × 3 × 3 (3x - 1)
= 27 (3x - 1)
Thus, The greatest common factor of the expression 81x - 27 is;
⇒ 27 (3x - 1)
Learn more about the greatest common factor visit:
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