The 3 parts of a quadratic equation are standard form, factored form and vertex form.
A quadratic equation is a polynomial equation of degree two in one variable of type f(x) = ax² + bx + c where a, b, c, ∈ R and a ≠ 0.
There are three forms of quadratic equations
Standard form of quadratic equation y = ax² + bx + c
factored form of quadratic equation y = a(x − r₁)(x − r₂)
Vertex form of quadratic equation y = a(x − h)² + k
Each of the above quadratic forms looks unique, allowing the different problems to be more easily solved in one form than another.
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Which polynomial is prime?
x3 + 3x2 -2x - 6
x° - 2x2 + 3x 6
4x4 + 4x3 - 2x - 2
D 2x + x3 -x +2
The final equation is a polynomial of primes [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.
what is polynomial ?An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."
given
Is a base form of a polynomial in other words is a polynomial that can't be factored.
so we have
[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]
hence, the final equation is a polynomial of primes [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.
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The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
The length of the rectangle is 4 units.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Let n be the length of the rectangle.
The width of a rectangle is the length minus 2 units.
The width = n - 2
The area of the rectangle is 8 square units.
The area of the rectangle = length x width
8 = n (n-2)
n²-2n - 8 = 0
n²-4n+2n - 8 = 0
n(n-4)+2(n-4) = 0
(n+2)(n-4) = 0
n = 4 and -2.
So the length is 4 units.
Therefore, 4 units are the length of the rectangle.
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Answer:
You could start by measuring the angle of the slope, then mark the half point of the slope, call it 0, then mark the left end -1 and then the right end 1
You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.
What is the length of the hypotenuse of a 45 45 90 triangle if the length of the leg is 5?
The length of the hypotenuse will be 5√2 = 7.07
The triangle specified in the question is right-angled, one angle is mentioned to be 90°. It is also an isosceles triangle since both other angles are equal. if both angles are equal, both sides will also be equal.
So the length of both equal sides = 5 cm
Pythagoras' theorem tells us about the relationship between the three sides of a right-angled triangle. It states that the square of the hypotenuse of the right-angled triangle will be equal to the sum of squares of the other two sides. If a, b, and c are the sides
c² = a²+ b²
c = √(a²+b²)
According to Pythagoras' theorem, Hypotenuse = √base²+ alt²
Hypotenuse = √5²+5²
= 5√2
= 7.07 cm
So the length of the hypotenuse is 5√2 = 7.07 cm.
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Hi, please help (see image)
I need help on question b) and c)
This homework is due very soon !!! ( SOS)
Answer:
b: Two thousand four hundred and forty (2440)
c: 1.33 x 10^27
Step-by-step explanation:
I'm uncertain by what an ordinary number is, but to calculate the answer for part b, you need to divide the diameter of Mercury by 2, which would give the aforementioned answer.
As for part c, you will need to subtract the masses of Jupiter and Saturn:
mass of Jupiter - mass of Saturn = 1.33 ×[tex]10^{27}[/tex]
The students at Walden Middle School are selling tins of popcorn to raise money for new uniforms. They sold 42 tins in the first week.How much money did they make in the first week?
Answer:
$388.50
Step-by-step explanation:
42 tins
$9.25/tin
[tex]42*9.25=388.5[/tex]
So, they raised $388.50
Write two equivlants ratios for each ratios
a. 3:12
b) 3/5
c) 108:9
help meeeeeee plsssss begging u
Step-by-step explanation:
[tex]3 : 12 \equiv \frac{3}{12} \equiv 1 : 4[/tex]
[tex] \frac{3}{5} \equiv3 : 5[/tex]
[tex]108 : 9 \equiv \frac{108}{9} \equiv12 : 1[/tex]
what is 4 /25 in a whole number
Step-by-step explanation:
4/25 cannot be converted into a whole number, it is less than 1
Answer:
decimal = 0.15
whole number (rounded) = 0
When the recycling committee first formed, they conducted a survey to determine whether paper recycling was already common at their school. Out of 36 classrooms, 9 were using paper recycling bins.
What percent of the classrooms had paper recycling bins?
Answer:
25%
Step-by-step explanation:
9x4=9
1/4=25%
hope this helps
Willl mark you brainlieestttt
Answer:
√28 and √11
Step-by-step explanation:
Note : -
Irrational number is any real number that cannot be expressed as the quotient of two integers.
Here,
√28 = 5.291.......
5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.
Similarly,
√11 = 3.316......
Hence,
√28 and √11 are irrational numbers.
A math club is having a bake sale. Find the area of the bake sale sign.
The Area of the sign is_ square feet
The bake sale sign has a 6 ft2 space.
What is area?
An object's area is how much space it takes up in two dimensions.
It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
The word "area" refers to a free space.
A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.
But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.
The majority of forms and things have corners and edges.
According to our question-
The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.
Area of a rectangle equals length times width.
The area of the bake sale sign = length * breadth
Hence, The bake sale sign has a 6 ft2 space.
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PLEASE HELP
Using the ratio 26 black marbles to 2 white marbles, match the following to create the equivalent ratios.
Step-by-step explanation:
1:13
2:26
3:39
4:52
5:65
6:78
Rule - ×13
A cuboid has a volume of 24 cm^3. What can its maximum surface area be, if its length, breadth, and height are integers?
Answer:
76 cm^2
Step-by-step explanation:
Volume of the cuboid = Length(l)×breadth(b)×Height (h)
Given that
A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.
prime factor of 24 = [tex]2^3\times3\times1[/tex]
24 = 2×3×2×2×1
24= 12×2×1
or 24= 6×4×1
Now, for Surface area to be maximum we have to take dimensions as
12,2,1
SA = 2(lb+lh+bh)
=2(12×2+12×1+2×1)
= 76 cm^2
Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit
In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.
The minimum and maximum possible heights of the bowling pin are 14.96875 inches and 15.03125 inches
How to find the minimum and maximum possible heights of the bowling pin.From the question, we have the following parameters that can be used in our computation:
Absolute deviation = 0.03125 inches
Height = 15 inches
The minimum is calculated as
Minimum = Height - Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Minimum = 15 - 0.03125 inches
Minimum = 14.96875 inches
The maximum is calculated as
Maximum = Height + Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Maximum = 15 + 0.03125 inches
Minimum = 15.03125 inches
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Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.
Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
Pula need to make an 80% on her test to pass the class. she has 25 questions on the test. How many does she need to get correct
Answer:
Step-by-step explanation:
25×80%=20
so she need to get 20 questions right
Answer:
20
Step-by-step explanation:
total question: 25
marks need to pass: 80%
25-20% = 20
The waitress had a table with a bill of $75.29 and received $12.80. What was the percent tip she received?
Answer:
17%
Step-by-step explanation:
Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%
15. A pool can hold 850 gallons. It now has 598 gallons of
water and is being filled at the rate shown. How many
more minutes, m, can water continue to flow into the
pool before it overflows? Write and solve an inequality.
Then graph the solutions.
helpppppppppppppppp pls
Answer:
2167.7m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex]
= 2π(15m)²+2π(15m)(8m)
= 2167.7m²
by using the distributive property and the greatest common factor what is 18+15
Answer:
33
Step-by-step explanation:
18 + 15 ← factor out 3 ( the GCF ) from each term
= 3(6 + 5)
= 3(11)
= 3 × 11
= 33
please help with math
Answer:
i think linear
Step-by-step explanation:
let me know if this is wrong
Response Question
How much do Americans pay for coffee on average? In a 2015 survey of 105 randomly selected U.S.
adults, the respondents were asked what price they paid for their most recent purchase of coffee.
The sample data had a mean of $3.42 and a standard deviation of $0.75.
Answer:
The right solution is "3.29, 3.57".
Step-by-step explanation:
Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.
The given values are:
Randomly selected adults,
[tex]n = 105[/tex]
Mean,
[tex]\bar{x} = 3.42[/tex]
Standard deviation,
[tex]s = 0.75[/tex]
Now,
At 95% confidence level if given by,
= [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]
On putting the given values, we get
= [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]
= [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]
= [tex]3.42 \ \pm \ 0.143[/tex]
= [tex]3.29, 3.57[/tex]
please help just answer the blanks I'll give a crown thing don't waste an answer.
Answer:
5) 1: 63
2: 117
3: 63
4: 117
5: 63
6: 117
7: 63
8: 117
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?
number of seats
type of transmission
presence of a sunroof
fuel efficiency (in mpg)
answer is fuel efficiency
Since the family visits a car show to research information on vehicles they might consider purchasing. The option that is an example of a continuous quantitative variable that might be included in the brochure is option D: fuel efficiency (in mpg).
What is continuous quantitative variable?A continuous quantitative variable is a type of variable that can take on any value within a certain range, such as fuel efficiency which can take on any value between a certain range of miles per gallon (mpg). In contrast, a categorical variable can only take on a discrete set of values.
"Number of seats" is also a continuous quantitative variable, but it is a bit different in the sense that it only can take on a certain values, for example the possible values for number of seats in a car can only be 2,4,5,6, etc.
Type of transmission is not a continuous quantitative variable, but it's a categorical variable, it can only take certain values such as Automatic, manual, etc.
Note also that presence of a sunroof also not a continuous quantitative variable, but it's a binary categorical variable which has only two possible values: true (presence) and false (absence)
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HELP
Find the Axis of Symmetry
Answer:
Axis of symmetry= 3
Step-by-step explanation:
f(x)= 2x^2 +12x-4
f(x)=ax^2+bx+c
x=12/2(2)
x=3
f(x)= 2(3)^2+12(3)-14
f(x)= 2(9)+36-14
f(x)=18+36-14
f(x)= 54-14
y=40
what is the quotient of 6x^3+2x-x/x where x≠0
Answer:
6[tex]x^{2}[/tex] + 1
Step-by-step explanation:
[tex]\frac{6x^{3}+ 2x-x }{x}[/tex] combine 2x -x = x
[tex]\frac{6x^{3} + x}{x}[/tex]
[tex]\frac{x(6x^{2} + 1) }{x}[/tex] the x's cancel out
6[tex]x^{2}[/tex] + 1
CAN YOU GUYS HELP PLSS
Answer:
200
Step-by-step explanation:
Answer:
First lets break this down.
20 inch
and 10
lxw+length x with
So,now we mulitply the area.
AFter we do the perimater.
Next step is to do our equation.
Your answer is 200
Step-by-step explanation:
Hope this helped g!
12 cm 11 cm 11cm find the volume
Volume:-
= 12 × 11 × 11
= 12 × 121
= 1452 cm³
Answer:
it is 1452 I believe (๑ↀᆺↀ๑)
What is the surface area of the cylinder with height 7 in and radius 6 in? Round your answer to the nearest thousandth.
Answer: 490.088 in2
Step-by-step explanation:
The three angles of a triangle have measures of 65 degrees, 15 degrees, and (x +42) degrees. What is x?
please !!! only a couple minutes left!! help
Answer:
58 degree is the value of x