The value of a in Quadratic function ax^2 + bx + c is 1.
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
the polynomial function f(x)=Ax^2+Bx+C, where A 0 and A, B, and C R. A quadratic function is a second-degree polynomial function in which all the coefficients of the terms with a degree less than 2 are zeros.
Roots of the given equation are 4 and 7.
then the quadratic function whose roots are 4 and 7 is
x^2 - (4+11)x + (4*7)
x^2-11x+28
on comparing this to the Quadratic function ax^2+bx+c
the value of a is 1.
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A circle has an area of 36 * pi square inches. Find the radius
Answer:
36
Step-by-step explanation:
BECAUSE U MULTIPLY THEN DIVIDE
Answer:
radius = 3.385 inches
Step-by-step explanation:
[tex]a=\pi r^{2}[/tex]
[tex]r^{2} =\frac{a}{\pi }[/tex]
[tex]r=\sqrt{\frac{a}{\pi } } =\sqrt{\frac{36}{\pi } } =3.385[/tex]
Hope this helps
A middle school has 240 girls and 160 boys. What percent of the total students are girls?
I am running two times around a circle of distance 25 meters through out. What is the distance two times from the mid center of that circle
Answer:
[tex]{ \tt{c = \pi d}} \\ { \tt{25 = 2(3.14d)}} \\ { \tt{d = 3.98 \: m}}[/tex]
what is 1150in hectares and in m2
Answer:
The answer is 11500000 Square Meters
Answer:
11,500,000
Step-by-step explanation:
To convert 1150 hectares to square meters, we need to multiply it by 10,000. Therefore, 1150 hectares is equal to 11,500,000 square meters. It is important to note that one hectare is equal to 10,000 square meters. So, 1150 hectares is equivalent to 11,500,000 square meters or 11,500,000 square meters. This conversion is useful when measuring large areas of land, such as agricultural fields, forests, and parks.
Find the coordinates of the vertices of the figure after the given transformation.
translation: (x, y)→(x + 1, y - 1)
Responses
A N'(0, -2), F'(4, 2), Q'(4, -2)N'(0, -2), F'(4, 2), Q'(4, -2)
B N'(-1, 1), F'(3, -3), Q'(3, 1)N'(-1, 1), F'(3, -3), Q'(3, 1)
C N'(0, -1), F'(4, 3), Q'(4, -1)N'(0, -1), F'(4, 3), Q'(4, -1)
D N'(0, -5), F'(4, -1), Q'(4, -5)N'(0, -5), F'(4, -1), Q'(4, -5)
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By using the given translation rule, the translation of NFQ is equal to: A. N'(0, -2), F'(4, 2), Q'(4, -2).
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is a translation?A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
By using the given translation rule: (x, y) → (x + 1, y - 1), we have:
N(-1, -1) → N'(-1 + 1, -1 - 1) = N'(0, -2).
F(3, 3) → F'(3 + 1, 3 - 1) = F'(4, 2).
Q(3, -1) → Q'(3 + 1, -1 - 1) = Q'(4, -2).
Therefore, the translation of NFQ is equal to N'(0, -2), F'(4, 2), Q'(4, -2).
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Find the Least Common Denominator of 5/6 and 3/8, show all of your work:
To find the LCD of (5/6, 3/8) we need to find the Least Common Multiple (LCM), which in this case is (6, 8). So we want to find the values of the numerical part of each term. We need to select the largest one, which in this case is 8
Then multiply them together to get the current total. In this case, the current total is 48
Current Total = 48
Multiply the numeric part of the denominators together.
Current Total = 8 + 8 = 16
Again, multiply the numeric part of the denominators together.
Current Total = 16 + 8 = 24
Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.
So the Lowest Common Denominator (LCD) is 24
A periods of 4 hour 30 minute is what percent of a day
Answer:
It's 4.5 divide by 24 , multiply by 100 you get 18.75%Write the statement "the sum of a number and 12.6 is more than −3.5" as an inequality.
−3.5 + b ≥ 12.6
−3.5 + b < 12.6
b + 12.6 > −3.5
b + 12.6 ≤ −3.5
Answer:
c
Step-by-step explanation:
For the given statement "the sum of a number and 12.6 is more than −3.5" the inequality is b + 12.6 > −3.5. Option C is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.For the inequality, we have to apply the arithmetic operation.
It is given that the sum of the number 12.6 is more than −3.5.
If the two numbers are b and 12.6 their sum is represented as b + 12.6 and the sum of the number is more than −3.5.
The obtained relation in form of inequality is,
b + 12.6 > −3.5
When we are unsure if the value of a variable is greater than a specific value, we use the "Greater than " symbol in linear inequalities. It is represented by the character ">"
Thus, for the given statement "the sum of a number and 12.6 is more than −3.5" the inequality is b + 12.6 > −3.5. Option C is correct.
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Karissa had 48 t-shirts. Exactly 58 of Karissa's shirts were blue. Karissa gave 13 of her blue t-shirts to her friend Amy. What fraction of Karissa's t-shirts were blue after she gave the shirts to Amy?
Step-by-step explanation:
What did the Rana rulers do to please the British rulers?
Help me find the answer
The answer will be 16 minutes.
In mathematics and statistics, the arithmetic mean or arithmetic average, or just the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection
An arithmetic average is the sum of a series of numbers divided by the count of that series of numbers. If you were asked to find the class (arithmetic) average of test scores, you would simply add up all the test scores of the students and then divide that sum by the number of students.
The arithmetic mean or mean is the simplest way to calculate the average for the given set of numbers. It is classified into two different types, namely simple arithmetic mean and weighted arithmetic mean.
leave at 7 a.m.=
x₁= 32+28+35+26+39/5
⇒ 160/5
⇒ 32 minutes.
x₂ = 46+44+52+50+48/5
⇒ 240/5 = 48 min
Δx = x₂- x₁
= 48-32
= 16minutes.
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if the length of a rectangle is four less than twice its width and the perimeter is 220 inches, what is the width of the rectangle?
Answer:
Let's denote the length of the rectangle to be L and the width to be W.
The first sentence tells us that the length, L, is "4 less than twice the width". "4 less than" implies we subtract 4 from some quantity. What is that quantity? Well that's "twice the width." We can rewrite this sentence in terms of L and W as: L = 2W - 4.
Now we know the length of the rectangle in terms of the width.
The area of a rectangle is given by A = L x W. Using this equation, we can substitute our values for area and length:
A = L x W
96 = (2W - 4) x W
From this we can solve for W and subsequently solve for L using algebra:
96 = (2W - 4) x W
96 = 2W^2 -4W
96 = 2(W^2 - 2W)
48 = W^2 - 2W
W^2 - 2W - 48 = 0
(W - 8)(W + 6) = 0
W = 8 or W = -6
Since W is the side-length of a rectangle, we can disregard the negative solution. Therefore W = 8 ft.
If W = 8, then L = 2W - 4 = 2(8) - 4 = 12 ft.
Lastly, we know the Perimeter of a rectangle is given as P = 2L + 2W. Substituting into this equation we solve for the perimeter:
P = 2L + 2W = 2(12) + 2(8) = 40 ft.
Step-by-step explanation:
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Find the circumference of each circle. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Answer:37.68/18.84
Step-by-step explanation:.
area of a circle s pier^2 or just 1/2pie r^2 so 1/2*3.148*2answer is 37.68.3 x 1, 250 expanded form
The Expanded form of 3×1=3 is 3
The Expanded form of 250 is 200+50+0
Expanded form is nothing more than a method for rewriting a number such that the digit values are included. A place value exists for each number. It calculates that digit's value based on where it is in the number. As we move from left to right in a number, a digit's value rises. In comparison to the digits on the right, the ones on the left have a lower place value. The position of the number is used to calculate each number's value. We can comprehend the place value notations if we read them from right to left.
250=200(hundreds place)+50(tens place)+0(ones place)
Therefore, the Expanded form of 250 is 200+50+0.
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3√12 + √18-2 √75 -√32 +3√8
Answer:
Step-by-step explanation:
3√12+√18-2√75-√32+3√8
=3√(4×3)+√(9×2)-2√(25×3)-√(16×2)+3√(4×2)
=(3×2)√3+3√2-(2×5)√3-4√2+(3×2)√2
=6√3+3√2-10√3-4√2+6√2
=(6-10)√3+(3-4+6)√2
=-4√3+5√2
Raúl tenía 4 enteros 3/5 pliegos de papel crepé, y regaló a sus amigos 1 entero 1/4 ¿que fracción de papel crepé le quedo?
The fraction of paper left is 7/20.
How to calculate the value?From the information, it was stated that Raul had 3/5 sheets of paper and he then gave 1/4 to his friend.
Therefore, the fraction of paper that will be left will be:
= 3/5 - 1/4
= 12/20 - 5/20
= 7/20
The fraction is 7/20.
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Find the total cost to the nearest cent.
$185 TV; 5% markup
The total cost to the nearest cent is $194.25
How to calculate the total cost ?The TV costs of $185
The markup is 5%
The total cost can be calculated as follows
185 + (185 × 5/100)
= 185 + (185 × 0.05)
= 185 + 9.25
= 194.25
Hence the total cost to the nearest cent is $194.25
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Anita Marquez's annual gross pay is $55,520 as a property
analyst. She is married with 2 dependents. How much is
withheld from her biweekly paycheck for state income taxes?
Based on the graduated state tax table and the personal allowance table, the amount withheld from Anita Marquez's biweekly paycheck for state income taxes is $103.50
What amount is withheld?First, Anita is married and will receive a personal allowance of $4,000. She will also receive $2,000 per dependent. Total allowances are:
= 55,520 - 4,000 - 2,000 - 2,000
= $47,520
Total annual tax is:
= (1.50% x 1,000) + (3% x 2,000) + (4.50% x 2,000) + (5% x (55,520 - 1,000 - 2,000 - 2,000 ))
= $2,691
The biweekly tax is:
= 2,691 / (52 / 2)
= $103.50
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**Sometimes you are given the information for a part-to-part
relationship, but are asked about a part-to-whole relationship.
When this happens, just add another row to your ratio table.
The ratio of mammals
to reptiles at the pet
I store is 3:7. If there are
90 animals at the pet
I store, how many of the
animals are reptiles?
Show answer in a ratio table
The number of reptiles will be 63.
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).
The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.
Let the number of mammals and reptiles be 3x and 7x
the store has total 90 animals
so total number of animals will be
90= 3x+7x
90= 10x
so x will be 9
number of mammals will be 3×9= 18
number of reptiles will be 7×9= 63.
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Someone please help i don’t understand
Answer: you just add all the sides
Step-by-step explanation:
A truck can be rented from Company A for $70 a day plus $.5 per mile. Company B charges $30 a day plus $.9 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same
Company A rented a truck for $70 a day and $.5 per mile will be added accordingly. Similarly, Company B rented a truck for $30 a day and $.9 per mile will be added as per distance covered.
Let the number of miles travelled by the truck be x.
Then, we can depict the given information in terms of equation and will equate them further to solve according to the question need.
So, total rent to be pay to company A = $(70+0.5x)
and total rent to be pay to company B = $(30+0.9x)
Now, the number of miles in a day at which the rental costs for Company A and Company B are the same will be
70+0.5x = 30+0.9x .............(1)
Now, solve equation (1) in order to calculate the value of x.
70-30 = 0.9x-0.5x
40 = 0.4x
40/0.4 = x
400/4 = x
100 = x
∴ x = 100
Hence, 100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same.
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LOTS OF POINTS PLS ANSWER
The answer is Discrete
Answer:
B
Step-by-step explanation:
how much more does $1,000 earn in 8 years
Answer:
ur question doesnt make sense
Step-by-step explanation:
given g(x) = 2x/x-2, x≠2. find g²(x)
Answer:
x
Step-by-step explanation:
[tex]g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x[/tex]
In a genetics experiment on peas, one sample of offspring contained 383 green peas and 13 yellow peas. Based on
those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the
value of 3/4 that was expected?
The probability of getting an offspring pea that is green is 0.967 and the value is not close to 3/4.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
In a genetics experiment on peas, one sample of offspring contained 383 green peas and 13 yellow peas.
The probability of getting an offspring pea that is green = 383/(383+13)
= 383/396
= 0.967
= 0.75
Thus, the probability of getting an offspring pea that is green is 0.967 and the value is not close to 3/4.
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Simplify
√18 +√50 + √8
Answer: 4√2
Step by step explanation:
√8 + √50 - √18
√4√2 + √25√2 - √9√2
2√2 + 5√2 - 3√2
4√2
This morning, Milan's car had 19.57 gallons of fuel. Now, 3.8 gallons are left. How much fuel did Milan use?
gallons
X
S
Answer: 15.77
Step-by-step explanation: We know that Milans car had 19.57 gallons of fuel, so I subtracted 19.57 - 3.8 to get my answer.
The manufacturing cost of a cell phone was $136. Sellers first marked up the cost by 25 percent. Sales were poor, so sellers decreased the markup to 17 percent. Calculate the old and new selling prices.
Answer:
old price was $170; new price is $159.12
Step-by-step explanation:
1) Formula given:
Selling price = original cost + mark up value
2) Old price = original cost + 25% (original cost)
Old price = $136 + 35% ($136) = $136 + 0.25×$136 = $136 + 34 = $170
3) New price = original cost + 17% (original cost)
= $136 + 17% ($136) = $136 + 0.17×$136 = $136 + $23.12 = $159.12
Answer:
old price was $170; new price is $159.12
Type the correct answer in the box.
Simplify the following expression into the form a + bi, where a and bare rational numbers.
(3 + 7i) (-22i) - 4i(5 - 91)
Answer:
154-278i.
Step-by-step explanation:
(3+7i)(-22i)-4i(5-91)=-66i+154+344i=154+278i.
A commuter train travels 51 in minutes. What is its speed in 26 per hour?
The speed of the commuter train in kilometre per hour is 30.59 kilometres per hour
How to determine the speed in kilometres per hour?The given parameters are
Distance = 26 kilometres
Time = 51 minutes
Convert the number of minutes to hour
So, we have
Time = 51/60 hour
The speed of the commuter train in kilometre per hour is calculated as
Speed = Distance/Time
So, we have
Speed = 26 kilometres/(51/60 hour)
Evaluate the quotient
Speed = 30.59 kilometres per hour
Hence, the speed of the commuter train in kilometre per hour is 30.59 kilometres per hour
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please help!! its really hard and i don't understand what my teacher says