Rewrite the polynomial in the form az? + bx+c and then identify the values of a,b, and c.
Answers
We have the following expression given:
\(4+x-\frac{1}{4}x^2\)And we want to write this in the form:
\(ax^2+bx+c\)If we do this we got:
\(-\frac{1}{4}x^2+x+4\)And by direct comparison we got:
\(a=-\frac{1}{4},b=1,c=4\)Related Questions
What is the answer and plz give me step by step explaining
Answers
Answer:
7
Step-by-step explanation:54x=60x-42, -6x=-42, divide both sides by six then you get 7
11. Brent is making a wooden display case for his baseball collection. He has 24 balls
from American League games and 30 balls from National League games. He
wants to display the same number of baseballs in each row and does not want
to put American League baseballs in the same row as National League baseballs.
How many rows will Brent need in the display case to put the greatest number of
baseballs possible in each row!
Answers
Answer:
9 rows
Step-by-step explanation:
Find the GFC(greatest common factor) -
24 =2*2*2*3
30= 2*3*5
Each row will have 6 balls = 24+30= 54
= 54/6=9
Answer:
9 rows
Step-by-step explanation:
help please
will give brainliest
Answers
Answer: (-2,-11)
Step-by-step explanation:
We looking for values that will satisfy the equation upon inspection, when x is -2, the equation gives y=-11 .
I.e y=4x-3 ,when x=2
Y= 4(-2)-3
Y= -8-3
Y= -11
The perimeter of an equilateral triangle is 12 cm. Find the length of each side.
Answers
Answer:
4
Step-by-step explanation:
12 divided by 3 sides of triangle
According to Siri every 5 inches of the map represents 3 miles of trails in the park how many inches on the map represents 9 miles on the park trails
Answers
Answer:
15 inches
Step-by-step explanation:
If 3 miles represents 5 inches and you want to know what represents 9 miles Just multiply 5*3 to get 15
I needddd helppp pleaseeeeee
Answers
Answer:
has to be letter b because they connect and then separate opposite sides
there are 18 cups on the shelves in Mrs. Lee's kitchen. If she takes out 8 cups to serve tea, how many cups will be left?
Answers
Subtract the number of cups she takes from the total cups:
18 cups - 8 cups = 10 cups will be left
Calculate the radius or diameter in each of the following problems.
1) d = 8.3 mm
Calculate the radius of the circle.
Answers
Answer:
4.15
Step-by-step explanation:
the radius is half the diameter so 8.3/2
=4.15mm
Answer:
4.15
Step-by-step explanation:
radius is the half of the diameter so 8.3/2 is 4.15
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
Answers
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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Translate
"two times the sum of number and 5 is 20"
Answers
Answer: 2(x+5)=20
Step-by-step explanation:
2 times the SUM of a number and 5... so that means we're multiplying 2 and two other numbers, so use parentheses. x can represent the unknown number.
2(x+5) <---- 2 times the WHOLE SUM of x and 5.
"is 20" meaning that entire thing is equal to 20.
so....
2(x+5)=20
Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.
Answers
Answer:
2.14
Step-by-step explanation:
2.14x24=51.36
Solve the simplify :- √27-√48+√75
Answers
- √27-√48+√75=
-3√3 - 4√3 + 5√3=-2√3
who can prove 2+2=5
Answers
Answer:
saya tidak ingin mengatakannya tapi kalian akan menjadi gila ya
Answer:
i can see a really tiny 0.5 next to both of them
2.5+2.5=5
tadaaaaa
Step-by-step explanation:
9.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = 2^x + 7; (3, 11)
A. y = 2^x + 5
B. y = 1/2x + 5
C. y = -1/2x – 5
D. y = 2^x - 19
Answers
Answer:
A. y = 2^x + 5
Step-by-step explanation:
The equation is not linear, so a constant slope does not exist.
Not Linear PARALLEL
...................................................................................................................................................
The equation is not linear, so a constant slope does not exist.
Not Linear PERPENDICULAR
...............................................................................................................................................
First, remember that if two lines are parallel, they have the same slope. The problem already gave us a point on the line and we now have the power to find the slope. Since we have the slope and a point on the line, we are going to find the equation of the line through the point-slope formula, which is:
is a point on the line
is the slope of the line
The equation given to us has a slope of 2, as we can see because the line is in slope-intercept form. Also, we are given the point (3, 11), which we are told is on the line. Since we are already given all of the information for the point-slope formula, we can simply substitute it in and solve for the equation.
Set up
Use the Distributive Property on both sides
Add 11 to both sides and simplify
The equation of our line is y = 2x + 5.
...............................................................................................................................................
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
For lines to be parallel, they have to have the SAME slope.
The given line's slope is 2, so the parallel line's slope is also 2.
y = 2x + b
To find "b", plug in the point (3,11) into the equation.
y = 2x + b
11 = 2(3) + b Multiply 2 and 3
11 = 6 + b Subtract 6 on both sides
5 = b
y = 2x + 5
An ice cream cone is shown below. The rim of the cone is circular. The diameter of the circular opening is 5 inches. Which of the following is closest to the circumference of the circular rim?
A. 8 inches
B. 79 inches
C. 16 inches
D. 20 inches
Answers
Answer: C=3(5)
The answer is C 16
OLZ HELP ILL MARK AS BRAINLEST
Answers
Answer:
-2
Step-by-step explanation:
The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.
Answer:
Hi I’m the friend
Step-by-step explanation:
by the way I also need brainliest, so you get to choose who to mark as brainliest
Tony rents a bike that costs $4 per hour and $10 for the lock. He has $32 to spend. How long can he rent the bike? Write an equation that represents this situation. Be sure to explain how you got your equation and specify what the variables represent.
Answers
Answer:
5 hours; 4x+10=32
Step-by-step explanation:
4x = 4 multiplied by the amount of hours
10 = the cost for the lock
so y = 4x+10
In this case y= 32 so plug it in
4x+10=32
-10 -10
4x=22
/4 /4
x=5.5
So assuming you can only rent whole hours, it would be 5 hours
Hope this helps.
Answer:
he can rent the bike for 5 hours
Step-by-step explanation:
32-10=22
22*4=5
Please help with math problem FAST
Answers
The percent error in his calculation is 13.04%
How to find percent error?He calculated the object will take 2.3 seconds to fall on the ground.
It takes 2.5 seconds for the object to fall.
Therefore, the percent error can be calculated as follows:
percent error = | theoretical value - experimental value | / theoretical value × 100
Therefore,
percent error = |2.3 - 2.5| / 2.3 × 100
percent error = 0.3 / 2.3 × 100
percent error = 0.3 × 100 / 2.3
percent error = 30 / 2.3
percent error = 13.0434782609
Therefore,
percent error = 13.04 %
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1. Simplify (2√3)² +(4√2)²
2. Simplify (2√3)² +(4√2)²
Answers
The answers Simplify (2√3)² +(4√2)²
Determine whether the ratios 8:7 and 15:14 are equivalent
Answers
Answer:
They are not
Step-by-step explanation:
We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:
15:14
\/
7.5:7 ≠ 8:7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
Answers
Evidence; 4 kilometers is 2.49 miles so 10•2=20
0.49 miles left so what we would do here is 0.1 mile is 1 minute so 0.01 mile is 10 seconds so 0.09 miles would be 90 seconds, and 90 seconds is 1 min and a half so thats 20+4+1.30=25.3
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50 POINTS PLEASE HELP! In order to rewrite log9 (6/5) as log9 (6) - log9 (5) , which of the following is used?
SEE PHOTO FOR ANSWER OPTIONS PLEASE HELP !! WILL MARK BRAINLIEST
Answers
Answer:
1
Step-by-step explanation:
5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12
Answers
Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.
The logarithm of the ratio of intensity of two earthquakes of magnitudes \(M_1\) and \(M_2\) is given by:
\(\log{\frac{I_1}{I_2}} = M_1 - M_2\)
\(\frac{I_1}{I_2}\) gives how much more intense earthquake 1 is compared to earthquake 2.In this problem, \(M_1 = 6.2, M_2 = 3.8\), then:
\(\log{\frac{I_1}{I_2}} = M_1 - M_2\)
\(\log{\frac{I_1}{I_2}} = 6.2 - 3.8\)
\(\log{\frac{I_1}{I_2}} = 2.4\)
\(10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}\)
\(\frac{I_1}{I_2} = 251.19\)
Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.
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Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
Answers
Met Manufacturing produces inexpensive sunglasses. The selling price per pair is $9.44, with variable costs per pair being $2.19. Fixed costs, which include paying off the plant, labor, insurance, marketing, and management, are $748,374. What is the break-even point?
Answers
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
Definitiοn οf a unitary methοd.The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.
Here,
We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.
Assume that X sunglasses must be sοld tο break even.
Fixed cοst plus variable cοst equals tοtal cοst.
Selling price x Number οf units sοld equals tοtal revenue.
The tοtal revenue and entire expense are equal at the break-even pοint.
Thus, we can cοnstruct the equatiοn:
Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.
=> $9.44 X = $748,374 + $2.19 X
=> $9.44 X - $2.19 X = $748,374
=> $7.25 X = $748,374
=> X = $748,374 / $7.25
=> X = 103,184
Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
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\(\bold{Heya...}\)
\(\sf{6 \: - \: (1 \: x \: 4) \: - \: 2}\)
Explain into your own words.
Thanks~
Answers
Answer:
0
Explanation:
Given expression:
\(\sf 6 - (1 \times 4) -2\)
Use BODMAS method:
brackets, order, division, multiplication, addition, subtraction
First simplify variables inside brackets
\(\sf 6 - (4) -2\)
Then simply use subtract integers
\(\sf 0\)
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's get it done using Bodmas Rule ~
\(\qquad \sf \dashrightarrow \: 6 - (1 \times 4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - (4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - ( 4 + 2)\)
\(\qquad \sf \dashrightarrow \: 6 - 6\)
\(\qquad \sf \dashrightarrow \: 0\)
We will get the end result 0, on simplification ~
At a noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .33 find the probability that in a sample of 8 customers at least 5 will order a nonalcoholic beverage?
Answers
Answer:
0.0846 (3 s.f.) = 8.46% (3 s.f.)
Step-by-step explanation:
We can model the given scenario as a binomial distribution.
Binomial distribution\(X \sim \text{B}(n,p)\)
where:
X is the random variable that represents the number of successes.n is the fixed number of independent trials.p is the probability of success in each trial.Given the probability that a customer will order a non-alcoholic beverage is 0.33, and the number of customers is 8:
\(\boxed{X \sim \text{B}(8, 0.33)}\)
where the random variable X represents the number of customers who order a non-alcoholic beverage.
To find the probability that at least 5 customers will order a non-alcoholic beverage, we need to find P(X ≥ 5).
The complement rule of probability states that the probability of an event occurring is equal to one minus the probability of that event not occurring. Therefore:
\(\text{P}(X \geq 5) = 1 - \text{P}(X \leq 4)\)
We can use a calculator to calculate P(X ≤ 4) using the binomial cumulative distribution function (cdf). Note that the binomial cdf on a calculator will give you the sum of all the binomial probabilities for values of your random variable less than or equal to a given number (i.e. P(X ≤ x)).
Inputting the values of n = 8, p = 0.33 and x = 4 into the binomial cdf:
\(\text{P}(X \leq 4) = 0.915427613...\)
Therefore:
\(\begin{aligned} \text{P}(X \geq 5) &= 1 - \text{P}(X \leq 4)\\&= 1 - 0.915427613...\\&= 0.0845723865...\\&=0.0846\;(3\;\sf s.f.)\end{aligned}\)
So the probability that at least 5 customers from a sample of 8 customers will order a non-alcoholic beverage is 0.0846 (3 s.f.).
Which equation represents this statement?
The product of 1/5 and a number is equal to 1 1/2.
Responses
15÷n=1 1/2
fraction 1 over 5 end fraction divided by n equals 1 and 1 half
15−n=1 1/2
fraction 1 over 5 end fraction minus n equals 1 and 1 half
15+n=1 1/2
fraction 1 over 5 end fraction plus n equals 1 and 1 half
15n=1 1/2
Answers
The statement as an equation is 1/5x = 1 1/2.
How to determine the statement as an equation?From the question, we have the following statement that can be used in our computation:
The product of 1/5 and a number is equal to 1 1/2.
Represent the numbers as x
So, we have the following representation
The product of 1/5 and x is equal to 1 1/2.
Introduce the equality symbols
So, we have
The product of 1/5 and x = o 1 1/2.
Next, we have
1/5 * x = 1 1/2.
Express as products
1/5x = 1 1/2.
hence, the expression is 1/5x = 1 1/2.
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The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answers
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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The rectangle shown below has a length of six feel
The value of the area rectangle, in square feet, is an irrational number. The number that represents the width of the rectangle must be _____!
A- whole number
B- a rational number
C- an irrational number
D- non real complex number
Answers
Answer:
C.
Step-by-step explanation:
Answer:
(C)Step-by-step explanation:
Irrational number....I hope it helps