Steps in the process of completing the square used to solve the given equation were discussed.
Given equation is:
[tex]5x+1=2x^{2} +9x[/tex], which is a quadratic equation
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
Taking all terms to the left side of the equation:
[tex]-2x^{2} -9x+5x+1=0[/tex]
[tex]-2x^{2} -4x+1=0[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2(x^{2} +2x)=1[/tex]
To complete the square let us add 2 both sides
[tex]2(x^{2} +2x)+2=3[/tex]
[tex]2(x+1)^2=3[/tex].....(1)
So, equation (1) is the required answer.
Hence, steps in the process of completing the square used to solve the given equation were discussed.
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Answer:
A, B, D
Step-by-step explanation:
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 23. 4 miles per gallon (mpg). A random sample of 41 cars are selected and the air filter of each is replaced with a new one. Let mu be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if mu space greater than space 23. 4 mpg. A test is made of H subscript 0 colon space mu space equals space 23. 4 space space space v e r s u s space space space H subscript 1 colon space mu space greater than space 23. 4. Assume that the air filter changes are effective but the conclusion is reached that the changes might not be effective. Which type of error, of any, has occurred
From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error
What is type I error ?Data:
Mean fuel efficiency = 23.4 mpgsamples = 41This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.
What is type II error ?This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error
Given that the air filter changes are not effective i.e. ȝ = 24.7.
It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.
The answer to this question is type II error
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What is the value of [ 3 × ( 8 − 2 ) ] 5 ? enter your answer in the box.
Answer:
90
Step-by-step explanation:
1st you solve for the 8-2 in the parentheses
[3 x 6] 5
Then solve what's in the brackets
[18]5
18 x 5 = 90
2.) f(x) is transformed to create the graph of g(x). Describe the
transformation
f(x) = |x|
g(x) = (x + 71
1x +
Ofis shifted up 7 units
7
Ofis shifted left 7 units
Ofis shifted right 7 units
7
Ofis vertically stretched by a factor of 7
Ofis shifted down 7 units
Answer:
2nd option
Step-by-step explanation:
given f(x) then f(x± a) is a horizontal translation of f(x)
• If + a then a shift to the left of a units
• If - a then a shift to the right of a units
g(x) = | x + 7 | ← with a = + 7
then g(x) is f(x) shifted 7 units to the left
If the dimensions of a shipping box are all doubled, how many staplers can the larger box hold? 24 staplers 48 staplers 96 staplers 192 staplers
The larger box with all dimensions double the small box will hold 192 staplers.
We have one cubical box with a side of 6 inches.
What is a cube?A cube is a prism with a height equal to the side of the base.
One box contains 24 staplers.
If we make each side double we will get a total of 8 boxes same as the smaller box.
So, 8 boxes will contain = 8*24 =192 staplers.
Hence, the larger box with all dimensions double the small box will hold 192 staplers.
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Answer:
192 Staplers
Step-by-step explanation:
Partition the rectangle into 4 equal sections. Explain how you partitioned the rectangle.
Divide the rectangle in half vertical-wise and horzintal-wize. This creates four equal sections, or partitions the garden into quarters ([tex]\frac{1}{4}[/tex]).
See attached for an example.
Please note you can also divide it into four portions vertically or four portions horizontally and reach the same result of four quarters.
I need help with these 2 questions, This due very soon so please respond ASAP and I will mark brainliest if correct!
Answer:B,C
Step-by-step explanation:
the other do is always numbers with t be oossblie because of the quadratic formula
Find the surface area of the prism
Answer:
216cm²
Step-by-step explanation:
SA of the rectangular prism
= 2(lb + bh + hl)
= 2(3*6 + 6*10 + 10*3)
= 2(18 + 60 + 30)
= 2(108)
= 216cm²
Alia bought a home for her pet turtle. The rectangular tank is 3 feet long, 1 foot wide, and 2 feet high. What is the volume of the tank?
The volume of the tank is Blank
cubic feet
Answer:
6 ft^3 or cubic ft
Step-by-step explanation:
Volume = B x H or L x W x H
Base = L x W
Length: 3 ft
Width: 1 ft
Height: 2 ft
3 x 1 x 2 = 6
6 ft^3
What is the length of the hypotenuse?
14 units
By find the missing angle to be 60. Use Cos = a/h
Cos60 = 7/h
x h, then ÷ by cos60
h = 7/cos60
h = 14
Hypotenuse is the longest length
Soh Cah toa
So, the last length must be 7 root 3 (12.12 to 2d.p)
(root means square root)
Hope this helps!
Andrea is an accountant who lives in the state of texas. which tax is she not responsible to pay? a. gasoline tax at the state level b. income tax at the national level c. inheritance tax at the state level d. payroll tax at the national level
The tax is Andrea not responsible to pay Payroll tax at the national level.
We have Andrea is an accountant who lives in the state of texas.
To determine the tax is she not responsible to pay
What is the Payroll tax?
The Payroll tax would include the deduction that was made to be allocated into her pension, medicare, or some form of investment.
Payroll tax is regulated under states law along with the policy from the company where she works.
So she's exempt from payroll at the national level.
Therefore option D is correct.
Thus the tax is Andrea not responsible to pay Payroll tax at the national level.
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Answer:
C. inheritance tax at the state level
Step-by-step explanation:
PLATO answer
Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A
The inequalities have no solution since their graph does not intersect or overlap.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Hence, The inequalities have no solution since their graph does not intersect or overlap.
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Answer:
B. There is no solution.
Step-by-step explanation:
And katie stop deleting my answers
Easy Points!!
Question 7 of 10
Does the mapping diagram represent a function? Why or why not?
A. No; each input pairs with only one output.
B. No, the input value x = 3 pairs with two different output values.
O C. No; two output values pair with two different input values
O D. Yes; each input pairs with only one output.
Economists are analyzing the effects of new tax policies on population growth. From recent census data, it is known that the proportion of families in the United States who have more than 3 children in the household is 26%. For a random sample of 50 families, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of the sample proportions is of 0.062.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem:
The proportion is of p = 0.26.A sample of n = 50 families is taken.Hence, the standard deviation is given by:
[tex]s = \sqrt{\frac{0.26(0.74)}{50}} = 0.062[/tex]
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Simplify (- 20 - 3i) - (- 22 - 1i)
A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.
Simplifying the given expression:⇒ (- 20 - 3i) - (- 22 - 1i)
⇒ (- 20 - 3i + 22 + 1i)
⇒ (2 - 2i)
Therefore the simplification of the given expression is "(2 - 2i)"
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simplify 15/root75 +root 108+root 432
Answer:
32.91
Step-by-step explanation:
[tex] \hookrightarrow \sf \frac{15}{ \sqrt{75} } + \sqrt{108 } + \sqrt{432} [/tex]
[tex] \hookrightarrow \sf \: 19 \sqrt{3} \approx \: 32.908965[/tex]
Answer:
32.90235
Step-by-step explanation:
[tex]\frac{15}{\sqrt{75} }[/tex] + [tex]\sqrt{108}[/tex] + [tex]\sqrt{432}[/tex]
= 1.73205 + 10.3923 + 20.784
= 32.90235
10. Jenn went to the farmer's market with $40. She brought a 10 lb bag of
potatoes for $6, a pie for $8,4 qt frest strawberries for $4 per qt, and 5 lb
of apples at $1. 49 per lb. What percent of the $40 did she still have when
she left? *
Answer:
Step-by-step explanation:
Find all the expenses:
potatoes: $6
pie: $8.4
strawberry: $4
apples: $1.49 * 5 => $7.45
total=> 6 + 8.4 + 4 + 7.45 = $25.85
Rule:
$40 = 100%
$25.85 = x%
=> x = ($25.85 * 100%) / $40 = 64.625%
hey double check if I added wrong, and if it is repeat the calculation,
hope it helps
graph the inequality on the axis below x+6y<6
Answer:
Step-by-step explanation:
write the slope intercept form of the equation of each line through the given points (4,-2) and (-5,3)
For a typical human height of 2 meter what is the horizon distance on earth (r=6378 (b mars R=3,340
The horizon distance on earth for a typical human height of 2 meters is 5051 meters
How to determine the horizon distance?The given parameters are:
Human height, h = 2 metersRadius of earth, R = 6378 * 1000 metersThe horizon distance (OG) is calculated using:
[tex]OG = \sqrt{2 R h}[/tex]
This gives
[tex]OG = \sqrt{2 *6378 * 1000 * 2}[/tex]
Evaluate the square root
OG = 5051
Hence, the horizon distance on earth is 5051 meters
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Another answer answer answer
Answer:
B
Step-by-step explanation:
-13-7=-20
Check:
13+7=20
The correct answer is B.
Auto insurance options offered by aa auto insurance are outlined in the table below. what monthly payment would you expect for an insurance policy through aa auto insurance with the following options? bodily injury: $25/50,000 property damage: $25,000 collision: $250 deductible comprehensive: $100 deductible aa auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/$50,000 $22.50 $50/100,000 $31.75 $100/300,000 $40.25 property damage $25,000 $120.50 $50,000 $144.75 $100,000 $193.00 collision $100 deductible $520.00 $250 deductible $415.25 $500 deductible $275.75 comprehensive $50 deductible $110.25 $100 deductible $100.00 a. $43.23 b. $46.10 c. $54.85 d. $64.44
Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.
What is insurance?
insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.
A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.
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Answer:
A
Step-by-step explanation:
A. Give the measure of an exterior angle of each of the following regular polygons.
With a Solutions pls
1. Triangle
2. Octagon
3. Hexagon
Pls answer it correctly. need it tomorrow!
Answer:
120° , 45° , 60°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
the exterior angles of a regular polygon are congruent , then
(1) triangle with 3 sides
exterior angle = 360° ÷ 3 = 120°
(2) octagon with 8 sides
exterior angle = 360° ÷ 8 = 45°
(3) hexagon with 6 sides
exterior angle = 360° ± 6 = 60°
Which of the following is not a reason for america to keep its current system of measurement? a. it would be too expensive and time consuming to switch everything over to metric. b. since the american system is decimal based, it is easy to convert between different units of measure. c. the american system works most easily with fractions which, some argue, are preferable on a day-to-day basis. d. the units and terms involved with the american system are smaller and easier to use than those in the metric system.
C. American system works most easily with fractions which, some argue, are preferable on a day to day basis
The units and terms involved with the American system are smaller and easier to use than those in the metric system.
What is the metric system of measurement?The metric system is a system of measurement used in most countries around the world.
It is based on units of 10 and is also known as the International System of Units (SI).
The basic units of the metric system include the meter (for length), the gram (for mass), and the liter (for volume).
We have,
The statement "the units and terms involved with the American system are smaller and easier to use than those in the metric system" is not a valid reason to keep the current system of measurement in the United States.
In fact, the metric system is considered to be simpler and more logical than the U.S. customary system of measurement.
The metric system is based on multiples of 10, which makes conversions between units much easier than the U.S. customary system, which is based on arbitrary values that are not easily converted between each other.
Additionally, the metric system is used universally around the world, which makes it easier for people to communicate and do business across international borders.
Finally, many industries, such as science, engineering, and medicine, have already adopted the metric system, making it more practical to switch over to metric completely.
Thus,
The units and terms involved with the American system are smaller and easier to use than those in the metric system.
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Which function is shown in the graph below
Answer:
y=2x^+2+3
2nd bubble
please make this answer brainliest If I helped you!
I SUCK AT MATH HELP PLS!!!
Answer:
Step-by-step explanation:
Formula
m = (y2 - y1)/(x2 - x`1)
Givens
Points M(-5,4) and N(2,-1)
y2 = 4
y1 = -1
x2 = - 5
x1 = 2
Solution
m = (4 - - 1) / (-5 - 2)
m = (4 + 1) / (- 7)
m = (5) / (- 7)
Answer: m (slope ) = 5/-7
Note
The question is how do you enter it? It depends on how you have been told to enter fractions or mixed numbers. I would answer it as
-5
-----
7
which you will note transfers the minus sign to the top of the fraction. It shouldn't matter as long as the net result is minus.
During second period, Clara completed a grammar worksheet. Of the 45 questions, Clara got 60% right. How many questions did Clara get right?
Answer:
0.6*45=27
Step-by-step explanation:
You have to change 60 percent into a decimal and multiply it by 45 because there are 45 questions and you wil get 27
help pls first correct answer gets brainleist
An article is bought for Rs200 & sold for Rs250,what is the profit percentage.
(200/250)×100 = 80%
100 - 80 = 20%
hope it helps...!!!
Answer:
20%
Step-by-step explanation:
Which is a short-term consequence of making a late payment on your bill? it will be harder to buy a house because it affects your credit history. there will be a late fee added to the bill. it will be harder to secure a new loan at a low rate. the bank will charge a fee for having a negative balance.
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill. Option B is correct.
What is the late payment?A late payment is a payment sent to a lender or service provider after the due date or after the grace period for the payment has expired.
The consequence of making a late payment on your bill is;
A-it will be harder to buy a house because it affects your credit history.
B-here will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D- The bank will charge a fee for having a negative balance
All the given options are the consequence of making a late payment on your bill. But the options A, C, and D are the long-term consequences. While option B is a long-term consequence.
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill.
Hence option B is correct.
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B - there will be a late fee added to the bill
What is the value of x?
Answer: 5
Step-by-step explanation: