I have an algebra question, no rush, please explain if you can, if not that is okay.
Answers
Answer:
a) [tex]6x^2 + 17x + 31 + \frac{70}{x-2}[/tex]
Step-by-step explanation:
(see attachments for explanation)
Related Questions
Let f be the function given by f(x)=∣∣x2−2∣∣(x+0.4)(x2−2)(x+0.4). On which of the following open intervals is f continuous?
Answers
Using the continuity concept, it is found that the function is continuous on the following interval:
C. (0, 1).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In the context of this problem, the numeric values are especially relevant, as the function not continuous at the zeros of the denominator.
The denominator of the function is given as follows:
(x² - 2)(x + 0.4).
Hence the discontinuity points are:
x² - 2 = 0 -> x = -1.41 and x = 1.41.x + 0.4 = 0 -> x = -0.4.Hence the only interval in which the function is continuous over the entire interval is given by option C.
What is the missing information?The function and the possible options are given by the image at the end of the answer.
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What is the reason for each step in the solution of the equation?
4x−1=−2(x+1)
Answers
The solution of the equation 4 x - 1 = - 2 (x + 1) is x = [tex]\frac{-1}{6}[/tex]
4 x - 1 = - 2 (x + 1) (given)
4 x - 1 = - 2 x - 2 (applying distributive law to RHS)
4 x - 1 + 2 x = - 2 (transferring literal term from RHS to LHS)
6 x - 1 = - 2 (simplifying literal terms of LHS)
6 x = - 2 + 1 (transferring constant term from LHS to RHS)
6 x = - 1 (simplifying constant terms of RHS)
x = - 1 / 6 (transferring literal coefficient from LHS to RHS)
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Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.
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Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.
we know that
the volume of the sphere is equal to
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]In this problem we have
r=5.2/2=2.6 cm -----> the radius is half the diameter
pi=3.14
substitute the given values
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot2.6^3 \\ V=73.6\text{ cm\textasciicircum{}3} \end{gathered}[/tex]answer is 73.6 cubic centimetersa jar contains 9/10 cups of honey you poured 2/3 cups into a bowl how many cups of Honey are left in the jar
Answers
Given the information on the proble, we have to substract 2/3 cups from the 9/10 cups that the jar contains. We can use the following general rule for the substraction of fractions:
[tex]\begin{gathered} \frac{a}{b}-\frac{c}{d}=\frac{a\cdot d-b\cdot c}{b\cdot d} \\ b,d\ne0 \end{gathered}[/tex]then, in this case, we have the following:
[tex]\frac{9}{10}-\frac{2}{3}=\frac{9\cdot3-10\cdot2}{10\cdot3}=\frac{27-20}{30}=\frac{7}{30}[/tex]therefore, there are 7/30 cups of honey left in the jar
Miss Jones mowed 1/4 of her lawn her son mowed 2/5 of it. who mowed most of the lawn? how much of the lawn still needs to be mowed
Answers
The son mowed most of the lawn
7/20 of the lawn still needs to be mowed
Explanations:Size of the lawn mowed by Miss Jones = 1/4
Size of the lawn mowed by her son = 2/5
To know who mowed the most lawn, find the LCM of the denominators
The LCM of 4and 5 = 20
Make the denominators of both fractions to be 20
Size of the lawn mowed by Miss Jones = 1/4 x 5/5 = 5/20
Size of the lawn mowed by her son = 2/5 x 4/4 = 8/20
Since 8/20 > 5/20, Miss Jone's son mowed more part of the lawn than Miss Jone
How much of the lawn still needs to be mowed:
[tex]\begin{gathered} \text{The part of the lawn that still n}eeds\text{ to be mowed = 1 -}\frac{1}{4}-\frac{2}{5}\text{ } \\ \text{The part of the lawn that still n}eds\text{ to be mowed = }\frac{7}{20} \end{gathered}[/tex]Which inequality is represented by the number line below?
Answers
An inequality which is represented by the number line above is: x < -7.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
The rules for writing an inequality.In Mathematics, there are four (4) rules that are generally used to write an inequality and these include the following:
The circle/dot on a number line should be filled when the inequality symbol is (≥ or ≤).The circle/dot on a number line should not be filled when the inequality symbol is (> or <).When the arrow points to the left on a number line, the inequality is either (≤ or <).When the arrow points to the right on a number line, the inequality is either (≥ or >).Next, we would apply the aforementioned rules to write the solution to the inequality shown in the number line above:
x < -7
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Lisa earns $39 for 3 hours of babysitting what does she earn per hour of babysitting?
Answers
Answer:
13$
Step-by-step explanation:
just divide 39 by three.
39 dive by 3=13
13 x 3=39
Zachary has a container of worms for fishing.
When empty, the mass of the container is 225 grams. With the worms in
it, the container has a total mass of 751.4 grams. Each worm has a mass
of 11.2 grams. How many worms are in the container? Write and solve an
equation to model this situation.
Answers
Answer:
there are 47 worms in the container
Step-by-step explanation:
empty container- 225 g.
full container- 751.4 g.
1 worm- 11.2 g.
equation
(751.4-225)/11.2
751.4-225= 526.4
526.4/11.2= 47 worms
2. A rectangle with a length of 20 centimeters and an unknown width of x centimeters has a
smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of
x-3. The area of the shaded region (what remains) is 80 square centimeters.
Set up
and solve an equation for the value of x.
X
x-3
20 cm
16 cm
Answers
The value of x is 8 cm.
What is the area of a rectangle?The area of a rectangle is the space occupied by the rectangle inside its perimeter. A rectangle's area is calculated by multiplying its length by its width.
Given:
Length of rectangle = 20 cm
Width of rectangle= x cm
Area of rectangle = length × width
= 20x cm²
The dimensions of the smaller rectangle cut out of it are,
Length = 16cm
Width = x-3
Area of the smaller rectangle = length × width
= 16(x - 3) cm²
The area of the shaded portion will be equal to the difference between both areas which is given as 80 square centimeters.
20x - 16(x-3) = 80
Now, we need to solve this equation to obtain the value of x.
20x - 16x + 48 = 80
4x = 80 - 48
4x = 32
x = 32/4
x = 8
Therefore, the value of x is 8 cm.
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Will the number of bananas get smaller or larger as you move down the table. How do you know
Answers
With the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.
What is tabular data?Data given in the form of rows and columns are known as tabular data.Tabular data is very useful in statistics.Here,
Bill can only place 5 fruits in a bowl.According to the table,
If there are zero apples, there are 5 bananasIf there is 1 apple, there are 4 bananasIf there are 2 apples, there are 3 bananasIf there are 3 apples, there are 2 bananasIf there are 4 apples, there is 1 bananaIf there are 5 apples, there are 0 bananasThe number of bananas will become smaller as one moves down the table.
Therefore, with the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.
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Complete question:
Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. Will the number of bananas get smaller or larger as you move down the table? How do you know?
The table has been attached
I need help please it would help me a lot thank u
Answers
Her monthly payment will be $103.29.
Define simple interest.Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest. Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. Because simple interest keeps total interest payments lower than compound interest, it is better for borrowers. Simple interest is used in the monthly amortization of auto loans and retailer instalment loans. As the loan balance decreases with each monthly payment, so does the interest.
Given Data
Principal = $939
Time = 12 months
Rate = 11%
Simple interest = P(R)(T)
Simple interest = [tex]\frac{939(1)(11)}{100}[/tex]
Simple interest = 103.29
Her monthly payment will be $103.29.
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Simplify these expressions.
a. n + n + n
b. 3c + 5c
c. 3xy + 5y − 2xy + 3y
Answers
The expressions are simplified to;
a. 3n
b. 8c
c. xy + 8y
What are algebraic expressions?Algebraic expressions are defined as mathematical expressions that are composed of coefficients, variables, terms, factors and constants.
They are also made up of some operations, mathematical or arithmetic, which includes;
BracketDivisionMultiplicationAdditionSubtractionParentheses, etcGiven the expressions;
a. n + n + n
Since they are like terms, collect and them together
We have;
3n
b. 3c + 5c
Add the like terms
8c
c. 3xy + 5y − 2xy + 3y
collect like terms
3xy - 2xy + 5y + 3y
Add or subtract like terms
xy + 8y
Hence, the values are 3n, 8c and xy + 8y respectively.
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Tom worked 28 hours last month and earned $9 per hour. He spent $17 of his earnings since then. How much money does he have left?
Answers
Answer:
He would have $235
Step-by-step explanation:
If Tom worked 28 hours and earned $9 per hour he would have 252 dollars. Then if he spent $17 dollars he would have $235
Answer:
235
Explanation:
If Tom worked 28 hours last month, and his hourly rate is $9.
Start by multiplying 9 times 28. 9 × 28 = 252
Faster way I do the math is in my head, what is 9*3=27, Add a zero 9×30=270. 30-2=28;2×9=18, Subtract 270-18=252...
Tom spent $17 of his earnings, $252-$17=$235
what is the standard error of mean if o=64 and n=64?
Answers
The standard error of mean if o=64 and n=64 will be 8 given the parameters standard deviaion of = 64 and n = 64.
How can the standard error mean be obtained?The formula N provides the standard error mean. We must be aware that the standard error means in the given question is denoted by the letter M.
Applying the formula now, we get the following:
σM = 64/√64
64 divided by its square root gives us the number 8.
The standard error means is thus equal to 64 divided by 8, or 8.
We may then conclude that the standard error means will be 8 given the standard error means of = 64 and n = 64.
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Find the width w
184 = 2w + 64 + 2w
Answers
Answer:
the aswer is 30 glad i could help
Step-by-step explanation:
Answer:
w = 30
Step-by-step explanation:
184 = 2w + 64 + 2w
(2w + 2w)
184 = 4w + 64
(184 - 64)
120 = 4w
(÷4)
w = 30
Which values are in the solution set to this inequality? 3 x 4 < 9 and − x 6 ≥ − 3 x = 4 x = 11 x = 18 x = 12 x = 15
Answers
The value of x in the solution set is x = 4
How to determine the values in the solution setThe system of inequalities is given as
3x + 4 < 9
-x + 6 ≥ -3
The first step is to solve for x in both inequalities in the system of inequalities
So, we have
3x + 4 < 9
3x < 5
Divide by 3
x < 5/3
Also, we have
-x + 6 ≥ -3
-x ≥ -9
Divide by -1
x ≤ 9
So, we have
x < 5/3 and x ≤ 9
x ≤ 9 is a superset of x < 5/3
So, we have
x ≤ 9
This means that the values of x do not exceed 9
An example of this value (from the options) is 4
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Give the focus, directrix, and axis of the parabola.x^2=4y
Answers
Solution:
The equation of an up-down facing parabola with vertex at (h, k) and focal length p is expressed as
[tex](x-h)^2=4p(y-k)\text{ ----- equation 1}[/tex]56 a) -1 < x < 6
d) 7,1
b) x > 0,4
2
e) x ≤
7
c) 3,9 < x
f) x ≥ 5
Answers
Answer:
a) -1< x < 6
Step-by-step explanation:
you no. how true answer
Senem is auditing the tax returns of individuals in three zip codes. Thus far, 93.1% of the audited tax returns have passed the audit. If Senem takes 15 tax returns, what is the probability that at most 14 returns will pass the audit?
Round your answer to 3 decimal places.
Answers
The required probability would be 65.78% that at most 14 returns will pass the audit.
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
P(Passed the audit) = 0.931
Number of tax returns = 15
We must determine the probability that no more than 14 returns will pass the audit.
⇒ P(X⇒14)
P(X⇒14) = 1 - P(X>14) =1 - P(X=15)
Binomial distribution probability, which can be computed as will be used in this case
⇒ P(X=n IN,p) = P(X=15| 15,0.931)
⇒ 15C15 (0.931¹⁵) (1-0.931)⁽¹⁵⁻¹⁵⁾
⇒ 10.34221 × 10
⇒ 0.3422
⇒ P(X⇒14) = 1 - P(X>14)=1 - P(X=15) = 1 -0.3422 = 0.6578
Hence, there is a 65.78% probability that a maximum of 14 returns will be accepted for filing.
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WILL GIVE BRAINLYEST 100 POINTS
Answers
Answer:
first one 49.75
second one 154.5
Step-by-step explanation:
Answer:
1.) 49 [tex]\frac{3}{4}[/tex] [tex]in^{2}[/tex] 2.) 154.5 [tex]cm^{2}[/tex]
Step-by-step explanation:
These involve finding the area of a rectangular prism.
1.)
A = 2wl + 2lh + 2hw
A = 2(3.25 x 3.5) + 2(3.5 x 2) + 2(2 x 3.25)
A = 2(11.375) + 2(7) + 2(6.5)
A = 22.75 + 14 + 13
A = 49.75
2.)
A = 2wl + 2lh + 2hw
A = 2(4.5 x 8.5) + 2(8.5 x 3) + 2(3 x 4.5)
A = 2(38.25) + 2(25.5) + 2(13.5)
A = 76.5 + 51 + 27
A = 154.5
Question 4
Two diagonally opposite vertices of a square on a coordinate grid are located at (-5,7). (1,1). What is the
perimeter of the square? (7.G.6)
1p
Answers
Check the picture below.
A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at random from this population. Assume this is an infinite population. What is the standard error of the sample mean?
Answers
The standard error of the sample nean for a population that consists of 500 observations is 1.5
How to calculate the sample mean?From the information, the population that consists of 500 observations has a mean of 40 and a standard deviation of 15.
It should be noted that the sample mean is calculated as:
= Standard deviation / ✓number
= 15 / ✓100
= 15 / 10
= 1.5
Therefore, the standard error is 1.5.
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Isaiah is going to invest in an account paying an interest rate of 4.9% compounded
monthly. How much would Isaiah need to invest, to the nearest ten dollars, for the
value of the account to reach $1,150 in 14 years?
3
Answers
Answer:
579.93
Step-by-step explanation:
trust me bro
Answer: 580
Step-by-step explanation:
NEED HELP ASAP
Complete the paragraph proof
Answers
Answer:
(a) 180°
(b) 180°
(c) Transitive
(d) m∠3
(e) ∠3
Step-by-step explanation:
(a) and (b) Supplementary angles add to 180°
(c) Transitive Property says if a = b and b = c then a = c
A bag contains 7 red balls and 3 white balls. Andrew, Betsy, Cam and Doug, in that order are going to randomly pick a ball out of the bag and not replace it. The first person to draw a white ball wins $160. What is the probability that Doug will win the S160?
Answers
ANSWER
3/7 (the correct option is not there)
EXPLANATION
There are 7 red balls and 3 white balls in the bag.
To find the probability of Doug being the first to draw the white ball, we have to assume that Andrew, Betsy and Cam all draw red balls.
There are a total of 10 balls there.
After Andrew Betsy and Doug pick their balls, there will be 7 balls left, that is:
4 red balls and 3 white balls.
Ther probaility of Doug picking the white ball will therefore be the number of white balls divided by the total number of balls.
That is:
P(Doug) = 3/7
That is the probability that Doug will win the $160.
The word that has the/k/ sound
Answers
Answer:
kiss
i just thought of kiss I'm probably not correct to be honest
John and Ariana bought school supplies. John spent $10.50 on 5 notebooks and 4 pens. Ariana spent $7.80 on 4 notebooks and 2 pens
What is the cost of 1 notebook and what is the cost of 1 pen?
Answers
The most appropriate choice for simultaneous linear equation will be given by -
Cost of one notebook is $1.70 and cost of one pen is $0.50
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here,
Let the cost of one notebook be $x and the cost of one pen be $y
John spent $10.50 on 5 notebooks and 4 pens.
So,
5x + 4y = 10.50 ........... (1)
Ariana spent $7.80 on 4 notebooks and 2 pens
So,
4x + 2y = 7.80 ............ (2)
Multiplying equation (2) by 2,
8x + 4y = 15.60 ............ (3)
Subtracting (1) from (3),
3x = 5.10
[tex]x = \frac{5.10}{3}[/tex]
[tex]x =[/tex] $[tex]1.70[/tex]
Putting the value of x in (1)
[tex]5 \times 1.70 + 4y = 10.50\\8,50 +4y = 4y = 10.50\\4y = 10.50 - 8.50\\4y = 2\\y = \frac{2}{4}[/tex]
y = $[tex]0.50[/tex]
Cost of one notebook is $1.70 and cost of one pen is $0.50
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how to solve this one
Answers
In Savannah's World Religions class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attendance is worth 5%.
At mid-semester Savannah scored 118 out of 150 points on quizzes, 73, 89, and 97 on the first three exams,each worth 100 points. She got extra credit on her project with a score of 28 out of 25 possible points, and she had perfect attendance to class. Compute Savannah's grade percentage in the class so far.
Answers
Savannah's grade percentage in the class so far is 92.28%.
What is the grade percentage?
Percentage is a measure of frequency that is used in mathematics. The sign that represents percentage is %. In order to convert a number to percentage, multiply the fraction of that amount by 100 or by the given percentage.
Savannah's grade percentage can be determined by adding her percentage score in each component that makes up the total grade.
Percentage score in quizzes = (score obtained / maximum score) x percentage allocated to quizzes
(118 / 150) x 15% = 11.80%
Percentage score in the three exams = (average of the three scores / maximum score) / percentage allocated to exams
Average of the three scores = (73+ 89 + 97) / 3 = 86.33
(86.33 / 100) x 55% = 47.48%
Percentage score in the project = (score in the project / maximum points) x percentage allocated to project
(28 / 25) x 25% = 28%
Percentage score in attendance = 5%
Total grade percentage so far: 5% + 28% + 47.48% + 11.80% = 92.28%
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find the slope of the line that passes through (-82, -26) and (-81, 4)
Answers
PROBLEM
Slope of a line passes through (-82,-26) and (-81,4)
Method
Step 1
Write out slope formula
[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]Step 2
write out all parameters
x1 = -82, y1 = -26
x2 = -81 , y2 = 4
Step 3
Input all parameter
[tex]\begin{gathered} \text{Slope = }\frac{4\text{ - (-26)}}{-81\text{ - }(-82)} \\ \text{Slope = }\frac{4\text{ + 26}}{-81+82} \\ \text{Slope = }\frac{30}{1} \\ \\ \text{Slope = 30} \end{gathered}[/tex]