Answers
Answer:
[tex]f(-1)=\frac{-1}{2}[/tex]
[tex]g(-2)=\frac{5}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{2x-1}{2x^3-8x}[/tex]
[tex]g(x)=\frac{2x-1}{2x^3+8x}[/tex]
f(-1) is x = -1
g(-2) is x = -2
Step 2: Evalaute
f(-1)
Substitute: [tex]f(-1)=\frac{2(-1)-1}{2(-1)^3-8(-1)}[/tex]Evaluate: [tex]f(-1)=\frac{2(-1)-1}{2(-1)-8(-1)}[/tex]Multiply: [tex]f(-1)=\frac{-2-1}{-2+8}[/tex]Subtract/Add: [tex]f(-1)=\frac{-3}{6}[/tex]Divide: [tex]f(-1)=\frac{-1}{2}[/tex]g(-2)
Substitute: [tex]g(-2)=\frac{2(-2)-1}{2(-2)^3+8(-2)}[/tex]Evaluate: [tex]g(-2)=\frac{2(-2)-1}{2(-8)+8(-2)}[/tex]Multiply: [tex]g(-2)=\frac{-4-1}{-16-16}[/tex]Subtract: [tex]g(-2)=\frac{-5}{-32}[/tex]Simplify: [tex]g(-2)=\frac{5}{32}[/tex]And we have our final answers!
Related Questions
Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain. (2 points)
Answers
Answer:
x-8 is a factor of f(x)
Step-by-step explanation:
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the function
[tex]f(x)=-2x^3+17x^2-64[/tex]
And it's required to find if x-8 is a factor of f.
Applying the mentioned theorem, we only have to find f(8):
[tex]f(8)=-2\cdot 8^3+17\cdot 8^2-64[/tex]
Operating:
[tex]f(8)=-2\cdot 512+17\cdot 64-64[/tex]
[tex]f(8)=-1024+1088-64[/tex]
[tex]f(8)=0[/tex]
Thus, x-8 is a factor of f(x)
Question 11
Hannah, Kyler, Austin, Yeneli, Katie, and Cal all went to Red Robin to eat lunch. The girls ordered a hamburger
platter that cost $11.25 and the boys ordered the large hamburger platter delux for $13.75. The tax in Middle
School Land is 7.93%. They also left a 20% tip on the bill that includes the tax.
1) The total food bill is $_
2) The tax on the bill is _
3) The total bill for food and tax is.
4) The tip on the food and the tax is (use exact figures and DO NOT round) _
5) How much did each student pay for the food and tax? They each paid _ (Round your answer to the nearest
pennny!)
Answers
Pls help it’s for algebra 1 write like how
Answers
Answer:
A solution set to an inequality means that the values given will solve the inequality correctly. All of the given values are possibilities for the inequalities and will make the inequality true.
Miguel has a total of 27 dimes and nickels. The total value of the coins is $1.80. How many dimes and nickels does he have?
Answers
Answer:
There are 9 dimes and 18 nickels.
Step-by-step explanation:
Let d = be the number of dimes
n = be the number of nickels
d + n = 27...eq.1
0.10d + 0.05n = 1.80...eq.2
Solve the system of equations
d + n = 27
10d + 5n = 180 ( multiply eq.2 by 100 )
-5d - 5n = -135
5d = 45
d = 9 , there are 9 dimes so,0.90
n = 27 - 9 = 18, there are 18 nickels so, 0.90
To check: 9 dimes + 18 nickels = 27 coins
0.90 + 0.90 = $ 1.80 total value of the coins
a plumber charges $25 per hour on weekdays and $40 per hour on weekends. The plumber billed a total of 190 hours, worth a total of $5275. Let x represent the number of weekend hours worked, and write algebraic expressions for each of parts a-c below
Answers
Step-by-step explanation:
if x is the amount of weekend hours, let y be the amount of weekday hours. then you can solve for x by using the equations x + y = 190 and 49x + 25y = 5275. once you have values for x and y, the other answers should be easy
Joanne can read around 16 sentences per minute of her current novel. She wants to finish her reading before the movie comes out next week. If she has 19 pages left to read and each page has about 140 sentences, how many hours should Joanne set aside to complete her reading? Show your work. Round the answer to the tenths place.
Answers
Answer:
The answer is "3 hours and 28 minutes".
Step-by-step explanation:
Calculating the total sentence:
[tex]= 19 \ pages \times 140 \ sentences \\\\= 2,660 sentences\\\\[/tex]
Calculating the minutes which is needed:
[tex]= 2,660 \div 16 \\\\ = 166.25 \ minutes\\\\[/tex]
Calculating the hours and minutes:
[tex]= 166.25 \div 60 \\\\=3 \ hours \ and \ 28 \ minutes[/tex]
Jaine has saved 7times as much as jared has saved. Jaine has saved $378.how much money has jared saved?
Answers
Answer:
54
Step-by-step explanation:
378 divided by 7 is how much Jared saved
Write and expression using only a whole-number based and a whole-number exponent to model 9•9•9•9•9
Answers
[tex]9 \times 9 \times 9 \times 9 \times 9 \\ = {9}^{5} [/tex]
isha spent $0.75 on 1.5 pounds of bananas. at this rate, how much will 6 pounds of bananas cost?
Answers
Answer:
9
Step-by-step explanation:
Answer:
the answer is $3
Step-by-step explanation:
0.75+0.75+0.75+0.75=3
If you can walk 5.8 miles in 4.3 hours, how many minutes does it take to walk 0.64 miles? Round to 1 decimal.
Answers
Answer:
About 20 minutes.
Select the number property that will justify the step in the following expression.
Answers
The product of my number and three times my number is 108. What is half my number?
Answers
Answer:
sorry it couldn't let me suck read bio
8/12 - 4/12 answer?
Answers
Answer:
4/12
Step-by-step explanation:
Because the bottom numbers are the same just subtract the top numbers:
8/12 -4/12 = 4/12
4/12 can simplify to 1/3
Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9
Answers
Answer:
(91/3)3=9(1/3-3)=9
Step-by-step explanation:
Answer:
hows your day
Step-by-step explanation:
How are x and y intercepts alike and different? ( I need like 3 reasons for each)
Answers
Answer:
x and y intercepts are alike because they're both on the graph ,they help you graph a line, they can be both found in the slope-intercept form equation
they're different one is when it can be found where it crosses the X line and one can be found where it's the y line, when is found at the end of the equation for slope intercept form and what is found near the slope. x-intercept is an input and y-intercept is an output
(4+2x)+(3+1x) simplify!
Answers
Answer:
3x+7
Step-by-step explanation:
Answer:
Let's simplify step-by-step.
4+2x+3+1x
=4+2x+3+x
Combine Like Terms:
=4+2x+3+x
=(2x+x)+(4+3)
=3x+7
Step-by-step explanation:
Plss helpppppppppppppppppppppppp
Answers
i walk for 3 hours at a speed of 40 km/h , wha distance did i travel ?
Answers
Answer:
120km
Step-by-step explanation:
All you have to do is multiply 3 times 40 and then you get your answer.
A small container holds 75% as much as a large container. if the small container holds 36 liters, how much does the large container hold?
Answers
Please help me it’s due at 3:00pm please will mark the brainiest please help me
Answers
Answer: It’s A
Step-by-step explanation: C= -14/3 which is simplified to -4 2/3
Answer:
A.
Step-by-step explanation:
So you foil 2c and -5
Which will give you 5c+4=2c-10
Subtract 2c 5c-2c+4=2c-2c-10
Then You will get3c+4=−10
Step 3: Subtract 4 from both sides.
3c+4−4=−10−4
3c=−14
Step 4: Divide both sides by 3.
3c/3=-14/3
So it will be -14/3 which is -42/3
Which is A.
When looking at the results of a 99% confidence interval, we can predict what the results of the two-sided significance test will be: Group of answer choices
Answers
Answer:
alpha=0.01
Step-by-step explanation:
confidence level = 1 - alpha
so alpha = 1 - confidence level = 1 - 0.99 = 0.01
In statistics, alpha represents the value that checks the test statistic in order to determine if it is significant or not. In other words, alpha is the acceptable margin of type 1 error. Alpha is also called the significance level, which opposes the confidence level. Significance level + confidence level = 1.
What is the equation of a line that has a slope of 2 and passes through point (-6,3)?
Answers
Answer:
The answer is
[tex] \huge y = 2x + 15[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y - 3 = 2(x + 6) \\ y - 3 = 2x + 12 \\ y = 2x + 12 + 3[/tex]
We have the final answer as
[tex]y = 2x + 15[/tex]
Hope this helps you
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with 90% confidence?
Answers
Answer:
68
Step-by-step explanation:
To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;
SE = zσ/√n
z is the z score at 90% confidence
σ is the standard deviation
n is the sample size
SE is the mean weight loss
Given
z = 1.645
σ = 10
SE = 2
Required
sample size n
Substitute into the given equation;
SE = zσ/√n
2 = (1.645)(10)/√n
2 = 16.45/√n
√n = 16.45/2
√n = 8.225
n = (8.225)²
n = 67.650625
Hence the total sample should be about 68
4/9+3/10= what's the answer please
Answers
Answer:
67/90
Step-by-step explanation:
no explanation
Bridget was thinking of a number. Bridget doubles it, then adds 15 to get an answer of 16.4. What was the original number?
Answers
Answer: 0.7
Step-by-step explanation:
16.4 - 15= 1.4
1.4 ÷ 2= 0.7
Hope this helps :)
i have 1,000 chickens i take 749 away how much would there be left (trick question?)
Answers
Answer:
69
Step-by-step explanation:
Does the data in the table represent a function?
Please help guysssss
Answers
Answer:
No
Step-by-step explanation:
a function can not repeat
The table given in the problem does not represent a function.
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The ordered pair for data given in the table is as below,
{(2, 5), (3, 6), (4, 6), (5, 9), (8, 11)}
Suppose x denotes the first elements and y the second elements of the ordered pair.
Then, from the ordered pair it is concluded that for x = 3 and x = 4, the value of y is 6.
Which implies that the values of x are not unique for a given value of y.
Thus, it does not represent a function.
Hence, the given table does not represent a function as the values in the domain set are not unique.
To know more about function click on,
https://brainly.com/question/21145944
#SPJ5
Solve the equation C=5/9(F-32) Solve for F.
Answers
Answer: f=9c/5+32
Step-by-step explanation:
hope it helps!
Answer:
F=9C/5+32
Step-by-step explanation:
Opal plots point D at (Negative 3 and one-half, one-half). Which graph shows the location of point D?
Answers
Answer:
b
Step-by-step explanation:
IM DORA
Answer:
B
\
ur welcome ......
Step-by-step explanation:
Question 17 (5 points) Find the equation of a line passing through the point (6,-5) and parallel to the line y = 7x + 1. Oy -*x+41 y=7x - 29 Oy = 7x - 47 47 X+ 7 Question 18 (5 points)
Answers
Answer:
y = 7x - 47
Step-by-step explanation:
y = mx + b (m is slope, b y-intercept)
Parallel lines have the same slope.
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~
y = 7x + 1
m = 7
(6, - 5)
y + 5 = 7 (x - 6)
y = 7x - 47