write a quadratic equation with -6 and 3/4 as its roots. write the equation in the form ax^2 + bx + c = 0, where a,b, and c are integers.
Answers
The quadratic equation whose roots are -6 and 3/4 is 14x²+21x-18=0
How to find quadratic equations?We should know that a quadratic equation is that whose highest power of the variable is 2
The given roots are
x=-6 and x=3/4
Let (x+6)(x-3/4)=0
Multiplying the brackets we have
\(X^{2}-\frac{3x}{4} +6x-\frac{18}{4}\) =0
Find the LCM of the denominators
\(\frac{4X^{2}+21x-18 }{4} =0\)
Cross and multiplying we have
\(4x^{2} +21x-18=0\)
Therefore, the equation is expressed in the form ax²+bx+v=0 Where a=4, b=21 and c=-18
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Related Questions
Draw a tape diagram to represent the problem.
In Mr. Dutton's class there are 4 boy for every 5 girl ?
Use the tape diagram above to answer the question.
If there are 16 males, how many females are in Mr. Dutton's class?
If there are 18 student in Mr. Sutton's class, how many boy are there? How many girl are there?
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Answer:
uhijhkhyhbjgyvhfthvhtfm
Step-by-step explanation:
yglughujgyjyuhjvgyjhbygjhgjjyjgjjhbjgbjhjhbj
point a and point b are placed on a number line point a is located at -20 and point b is 5 less then point a Wich statement about point b is true
Answers
Answer:
Step-by-step explanation:
D beause less then 5 that means it gose down the grid
A car follows a curved highway from point A to point B, covering a distance of 50 km and a displacement of 40 km in .5 hours. What is the car’s speed?
What is the car’s velocity?
Answers
Answer: the car is going 100km per hour
Also the velocity is 80
Step-by-step explanation: using the equation speed= distance/time
you plug them in and get your answer
for velocity you do the same thing
sorry if its wrong :)
+ ily your are beautiful and stay positive <3
positive continous random variable with disbution and density we define in class the expected value to be prove, that given this definition:
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Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.
A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.
The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).
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Find the midpoint of line segment with the given endpoints
Answers
Answer:
(-3,-0.5)
Step-by-step explanation:
Answer:
your answer is -3, -0.5
Step-by-step explanation:
What is are the possible names of the quadrilateral?
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There are four different types of quadrilaterals: parallelograms, squares, rectangles, and rhombuses.
What is Quadrilateral?
A closed quadrilateral has four sides, four vertices, and four angles. It is a type of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total interior angle of 360 degrees.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions.
A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.
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A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answers
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (1) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.
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The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.
Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:
|A| = 150
|B| = 770
|A ∪ B| = 900
We want to find |C| and |A ∩ B| (which is the number of youths using both).
Using the inclusion-exclusion principle, we have:
|A ∪ B| = |A| + |B| - |A ∩ B|
900 = 150 + 770 - |A ∩ B|
|A ∩ B| = 20
So, 20 youths use both iPhone and Samsung.
To find the number of youths who use neither, we can use the fact that:
|A ∪ B ∪ C| = 1100
|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
Plugging in the values we know, we get:
1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200
Since the number of youths using both is 20, we have:
|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0
So, we can simplify the equation to:
|C| = 200
Therefore, 200 youths use neither iPhone nor Samsung.
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I NEED help Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
Answers
Answer:
a, d, f
Step-by-step explanation:
Answer:
A d and f
Step-by-step explanation:
I just did it
a painter can finish painting a house in 3 hour
Answers
Answer:
cool
Step-by-step explanation:
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Answers
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
estimate the percent that is shaded
Answers
Answer:
80% hope this helps have a nice day please give me brainliest:))
Step-by-step explanation:
CAN SOMEONE HELP? The answer has to be decimal.✨
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The angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.
What is an angle of elevationThe angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
We shall evaluate for the angle of elevation θ in degree, and then convert the result to radian as follows:
θ = tan⁻¹(4255/2000)
θ = 64.82482°
we multiply by π/180 to convert to radian;
θ' = 64.82482° × π/180
θ' = 1.13186 rounded to five decimal place.
Therefore, the angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.
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The function f(x) = 2 * (2) ^ x was replaced with f(x) + k resulting in the function graphed below
PLEASE HELP WILL MARK BEAINLY
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Example:
f(x) = (x - 1)2, f(x) = 8x , f(x) = x2 - x , f(x) = 7. Summary: From the given functions, f(x) = 7 is the even function.
Shawna is packing food for her puppy for a road trip. Her travel food container holds 360 ounces of dog food, and she is bringing a bag which has 50 ounces in it. If the puppy eats 40 ounces of food per day, how many days will the puppy have a full serving of food? S ritoM D
Answers
The puppy will have a full serving of food for 10 days.
How to find the number of days the puppy will have a full serving of food for 10 days.First, let's calculate how many ounces of dog food Shawna will have in total:
360 ounces (container capacity) + 50 ounces (bag) = 410 ounces
Next, we can divide the total amount of food by the amount of food the puppy eats per day to find how many days the puppy will have a full serving:
410 ounces / 40 ounces per day = 10.25 days
Since we can't have a fraction of a day, we can round down to 10 days, which means the puppy will have a full serving of food for 10 days.
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determine whether the equation defines y as function of x.a. 3x + 2y = 5b. y = - ✓x+1
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What is the surface area of the sphere shown below with a radius of 7?
1
7
A. 49, sq. units
B. 65 sq. units
C. 196 sq. units
D. 457 sq. units
SUBMIT
Answers
Answer:
c
Step-by-step explanation:
the surface area for spheres is
4 × π × r²
4 × π × (7²) = 196 π
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answers
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a times x equals negative c over a Step 4 x2 + b over a times x plus b squared over 4 times a squared equals negative c over a Step 5 x2 + b over a times x plus b squared over 4 times a squared equals negative 4 multiplied by a multiplied by c, all over 4 multiplied by a squared plus b squared over 4 times a squared Step 6 the square of the quantity x plus b over 2 times a equals b squared minus 4 multiplied by a multiplied by c, all over 4 times a squared Step 7 x plus b over 2 times a equals plus or minus square root of the quantity b squared minus 4 times a times c over 4 times a squared equals plus or minus square root of b squared minus 4 times a times c, all divided by 2 times a Step 8 x = −negative b over 2 times a plus or minus square root of b squared minus 4 times a times c, all divided by 2 times a Step 9 x = negative b plus or minus square root of b squared minus 4 times a times c, all divided by 2 times a Which of the following is the first incorrect step? Step 4 Step 6 Step 7 Step 8
Answers
A times the quantity x squared plus b over a times x end quantity equals negative c
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to specific an unknown value the usage of letters together with x, y, z, and so forth. those letters are called right here as variables.
An algebraic expression can be a aggregate of both variables and constants. Any cost that is positioned earlier than and expanded with the aid of a variable is a coefficient.
ax^2 + bx + c = 0
Subtract c from each side
ax^2 + bx+c-c =0 − c
ax^2 + bx = − c
Now we factor out an a
a(x^2 +b/a) = -c
Therefore, A times the quantity x squared plus b over a times x end quantity equals negative c
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find the percent from 62 to 7
Answers
Answer:
66.34
Step-by-step explanation:
if my calculations are correct it should be 66.34
The answer should be 66.34
making the assumption of no compounding interest, suppose you purchase a perpetuity bond from sense/net corporation for $3,000 with an annual coupon rate of 3% . specify all answers to the nearest dollar, and assume a discount rate equal to that of the current interest rate.
Answers
Therefore for computing the annual return we simply fund with coupon rate in percentage is 90 dollar
What is a percent simple definition?
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
The additional sum of money over the principal sum of deposit or loan is called compound interest.
The yearly return on $ 3 ,000 investment will be $90.
This can be estimated as:
Investment = $3,000
Coupon rate in percentage = 3%
The computation of yearly return can be estimated as:
= $3,000 × 3%
= $90
Therefore for computing the annual return we simply fund with coupon rate in percentage.
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Please help me with this!!!
Answers
Answer:
Is this correct??
if yes reply
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
Answers
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
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b2 + 3 + 2b2 + 4-7
Combine like terms
Answers
Answer:
3b^2
Step-by-step explanation:
Add the numbers
^2 + 3 + 2^2 + 4 − 7
b^2 + 0 + 2b^2
Add the zero
b^2 + 2b^2
Combine like terms
3b^2
Simplify
Rewrite the expression in the form 6^n
Answers
Answer:
\(6^{3}\)
Step-by-step explanation:
6^4/6^1
6^(4-1)
=6^3
Due to renovations at her workplace, Lucía must move from her current office into a temporary office. Her current office is a square room of dimension xx feet. Her temporary office will be a rectangular room with a length 33 feet greater than her current office's length and a width 55 feet less than her current office's width. Which of the following expressions gives the difference between the area, in square feet, of Lucía's current office and the area, in square feet, of Lucía's temporary office?
A
2x+152x+15
B
2x-152x−15
C
-2x+15−2x+15
D
-8x-15−8x−15
E
8x+158x+15
Answers
Answer:
A. 2x + 15Step-by-step explanation:
Current office area:
x*x = x²Temporary office dimensions:
x + 3 and x - 5Temporary office area:
(x + 3)(x - 5) = x² - 2x - 15The difference is:
x² - (x²- 2x - 15) = x² - x² + 2x + 15 =2x + 15Correct choice is A
Please help with math problem FAST
Answers
Gate posts are parallel and m<4 =47, what is m<1
Answers
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
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A clothing eCommerce company has an Average Order Value of USD 65. It costs the company USD 35 to produce the clothes in the average order and USD 15 to ship it to the customer. What is the Average Order's Gross Profit?
USD 65
USD 30
USD 15
USD 50
Answers
The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;
⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit
⇒ Gross Profit = USD 65 - USD 35 - USD 15
⇒ Gross Profit = USD 15
Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
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Select the true statement.
Answers
1 1/2 yards = 54 inches.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.