Using limits, the correct statement is given by:
The degree is odd and the leading coefficient is negative.
How the end behavior of a function f(x) is found?It is found by it's limits as x goes to infinity. On the left, it is given by:
[tex]\lim_{x \rightarrow -\infty} f(x)[/tex]
On the right, it is given by:
[tex]\lim_{x \rightarrow \infty} f(x)[/tex]
Since it is a limit as x goes to infinity, we only consider the term with the highest degree and it's leading coefficient.
Hence, the behavior described, that is, [tex]\lim_{x \rightarrow -\infty} = \infty, \lim_{x \rightarrow \infty} = -\infty[/tex] happens when:
The degree is odd and the leading coefficient is negative.
More can be learned about limits at https://brainly.com/question/22026723
Answer:
The degree is odd and the leading coefficient is negative.
Step-by-step explanation:
During, an Experiment, The temperature of a solution changes from 9 4/5 F to 17 1/4 F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth
Using improper fractions, it is found that the percent of increase in the temperature of the solution was of 76.08%.
How to convert improper fractions to standard fractions?The conversion is made according to the following formula:
[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]
In this problem, the initial temperature was given by:
[tex]9\frac{4}{5} = 9 + \frac{4}{5} = 9.8[/tex]
The final temperature was given by:
[tex]17\frac{1}{4} = 17 + \frac{1}{4} = 17.25[/tex]
What is the percent change?The percent change is given by the change divided by the initial temperature, and multiplied by 100%. Hence:
[tex]C = \frac{17.25 - 9.8}{9.8} \times 100\% = 76.02\%[/tex]
To learn more about improper fractions, you can take a look at https://brainly.com/question/24606703
expressions that are equivalent to 3x+6y+3
Answer:
3(x+2y+1)
3x+6x+3
Step-by-step explanation:
Solve the following equation:
3x = -12
a.
b.
X = 2
x = -2
No real solutions
X= 2
C.
d.
Answer:
x = -4
Step-by-step explanation:
3x=-12
Using the division property of equality, we can divide both sides by 3 to isolate x...
x=-12/3
x = -4
3-5/7 helpme helpme helpme helpme helpme
Answer:
the answer in fraction form is 16/7
Step-by-step explanation:
but if you want it in decimal form its 2.2857142857
you can also round it off to 2.3
Luke can paint 91 portraits in 7 weeks.
How many portraits can Luke paint in 4 weeks?
MA
portraits
As
he can paint ( 4 / 7 ) * 91 paintings in 4 weeks
4 / 7 = 0.57142857142
0.57142857142 * 91 = 52 paintings in 4 weeks
How to find the median of 30 37 8
Answer:
to find the median, divide the odd number by 2 and round it up
for even numbers, only divide by 2.
Average the numbers with the number in the next highest position.
You have a median.
In this case, the median is 30.
The median of the numbers 30, 37, and 8 is 30.
To find the median of a set of numbers, you first need to arrange the numbers in either ascending or descending order and then determine the middle value.
Given the numbers: 30, 37, 8
Arrange the numbers in ascending order:
8, 30, 37
Determine the middle value:
Since there are three numbers, the middle value is the second number, which is 30.
To know more about median here
https://brainly.com/question/300591
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For each expression, write an equivalent expression that uses only addition.
20−9+8−7
4x−7y−5z+6
-3x−8y−4−87z
Answer:
1) 28 - 16 = 12
2) 4x + 6 -7y -5z
3) -3x -8y - 4 - 87z
These were all mostly simplified already.
Hope this helps!
What percent of 200 is 150
Help me solve this pls
Check the picture below.
Make sure your calculator is in Degree mode.
Is log(0.3) greater than or less than 0? Justify your answer.
Challenge An arts academy requires there to be 4 teachers for every 76 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students? The academy has 10 students per teacher.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
(-5x2 – 43 – 1) +(-4x2 – 4x)
Answer:
−9x 2 -44-4x
Step-by-step explanation:
1 Simplifica -5{x}^{2}-43-1−5x
2
−43−1 a -5{x}^{2}-44−5x
2
−44.
-5{x}^{2}-44-4{x}^{2}-4x
−5x
2
−44−4x
2
−4x
2 Colecciona los términos semejantes.
(-5{x}^{2}-4{x}^{2})-44-4x
(−5x
2
−4x
2
)−44−4x
3 Simplifica.
-9{x}^{2}-44-4x
−9x
2
−44−4x
listo espero te halla ayudado
Jamie’s father has asked him to paint the fence around their home. If the fence is 119.5 years long, and Jamie can paint an average of 4.78 yards of the fence per hour, how many hours will it take for Jamie to finish painting the fence?
Answer:
25 hours
Step-by-step explanation:
119.5 yards divided by 4.78 yards per hour = 25 hours
John bought new headphones originally listed for $ 80.99 . They are \(35\%)| off. Which equation can be used to find the amount John will save?
Answer:
$28.35
Step-by-step explanation:
The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.
Layla made chili for a football party. She started making the chili at 3:45 P.M. It took 40 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 45 minutes. What time was the chili ready?
Answer:
5:10 P.M
Step-by-step explanation:
3:45 P.M + 0hrs 40 min = 4:25 P.M
4:25 P.M + 0hrs 45 min = 5:10 P.M
The chili was ready at 5:10 P.M.
Solve for x.
−5x−8>22
Enter your answer in the boxes to correctly state the solution.
[tex]\\ \tt\longmapsto -5x-8>22[/tex]
[tex]\\ \tt\longmapsto -5x>30[/tex]
[tex]\\ \tt\longmapsto -x>30/5[/tex]
[tex]\\ \tt\longmapsto -x>6[/tex]
[tex]\\ \tt\longmapsto x>-6[/tex]
Answer:
[tex] - 5x - 8 > 22[/tex]
[tex] - 5x > 22 + 8[/tex]
[tex] - 5x > 30[/tex]
[tex]x > \frac{30}{ - 5} [/tex]
[tex]x > - 6[/tex]
8 1/2=7 ?/2
NEED HELP ASAP:)
Answer:
3
Step-by-step explanation:
8 1/2 = 17/2 - 14/2 = 3/2
anyone knows the answer?
If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
(a) -10.0, (b) -0.5, (c) -0.4, (d) -0.2, (e) 10.0
Answer:
Solution:
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].
x[-0.699] = 0.3010.
x = 0.3010/-0.699.
x = -0.4306….
x = -0.4 (nearest tenth)
Answer is option (c) -0.4
The value of x to the nearest tenth is -0.4
Logarithmic expressionGiven the following expressions
(0.2)x = 2 and log 2 = 0.3010
Taking log of both sides of (0.2)x = 2
log (0.2)x = log 2.
x log (0.2) = 0.3010,
x [log 2 - log 10] = 0.3010.
Note that log2 2 = 1
x [log 2 - 1] = 0.3010
x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].
x[-0.699] = 0.3010.
x = 0.3010/-0.699.
x = -0.4306
Hence the value of x to the nearest tenth is -0.4
Learn more on logarithm here: https://brainly.com/question/25710806
Answer is option (c) -0.4
Triangle BAC and Triangle EDF are similar. What is the length of DF?
Check the picture below.
How many 1/4
gram dosages of medication can be obtained from a container
holding 3/8
gram of the medication?
The quantity of dosages of medication that can be obtained from the container is 1.5 dosages.
Given the following data:
Mass of medication = [tex]\frac{1}{4}[/tex] grams.Mass of container = [tex]\frac{3}{8}[/tex] grams.To calculate the quantity of these dosages of medication that can be obtained from the container:
How to calculate the dosages.In this exercise, you're required to determine the amount of dosages of medication can be obtained from the container. Thus, we would divide the given mass of container by the mass of medication as follows:
[tex]Quantity = \frac{\frac{3}{8}}{\frac{1}{4}}[/tex]
Simplifying further, we have:
[tex]Quantity = \frac{3}{8} \times 4\\\\Quantity = \frac{12}{8} \\\\Quantity = \frac{3}{2}[/tex]
Quantity = 1.5 dosages.
Read more on word problems here: brainly.com/question/13170908
Need help with this, its important.
Proper latex may not appear in website then see attached picture!
[tex] \tt \looparrowright \: 2 {b}^{3} + 5 = 2 {(3)}^{3} + 5[/tex]
[tex] \\ \\ [/tex]
[tex] \tt \looparrowright \: 2 {b}^{3} \cancel{ + 5} = 2 {(3)}^{3} \cancel{ + 5}[/tex]
[tex] \\ \\ [/tex]
[tex] \tt \looparrowright \: 2 {b}^{3} = 2 {(3)}^{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \tt \looparrowright \cancel 2 {b}^{3} = \cancel 2 {(3)}^{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \tt \looparrowright {b}^{3} = {(3)}^{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \tt \looparrowright {b} = 3[/tex]
One fourth of what number is 5/6
Answer:
20/6 or 10/3 or 3 1/3
Step-by-step explanation:
Answer:
10/3 = 3 1/3
Step-by-step explanation:
If 5/6 is one fourth (1/4) of a number,
multiply 5/6 by 4 to find the number:
5/6 x 4 = 10/3 = 3 1/3
If you roll a 6-sided die, what is
the probability that you will get a
number greater than 5?
Suppose y varies directly with x. If y = 3 when x = 2, find y when x = 3.
A *9/2
B *2/3
C *3/2
D *2/9
Answer:
9/2
Step-by-step explanation:
Direct variation is
y = kx where k is the constant of variation
Substitute into the equation to find k
y=3 and x=2
3 = k*2
Solve for k
3/2 = k
y = 3/2 x
We know x =3
y = 3/2 * 3
y = 9/2
Answer:
A
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 2 , then
3 = 2x ( divide both sides by 2 )
[tex]\frac{3}{2}[/tex] = k
y = [tex]\frac{3}{2}[/tex] x ← equation of variation
When x = 3 , then
y = [tex]\frac{3}{2}[/tex] × 3 = [tex]\frac{9}{2}[/tex] → A
calculate without using calculate
3(-2+4)
Answer: 6
Step-by-step explanation:
Parentheses- (-2+4)= (2)
Multiply 3(2)= 6
10=8x^2+2x in standard form with the steps
Answer:
8x=10
Step-by-step explanation:
hope helps
factor
2ay³/-4a²b
PLS HELP ME BRAINLIEST IF CORRECT
Answer:
the answer is y³/-2ab :)
Somebody please help!
How do I factor the expression 2x^2-20x^5?
Answer:
[tex]2x^2(1-10x^3)[/tex]
Step-by-step explanation:
Factor [tex]2x^2-20x^5[/tex]
Apply the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]\implies 2x^2-20x^2x^3[/tex]
Rewrite 2 as 2 · 1 and 20 as 2 · 10:
[tex]\implies 2 \cdot 1x^2-2 \cdot 10x^2x^3[/tex]
Factor out common term [tex]2x^2[/tex]:
[tex]\implies 2x^2(1-10x^3)[/tex]
can I have help pls
Answer: C
Step-by-step:
Its x = 6