Answers
such that pq=12 and p+q=b
Assuming we're looking for simple values, you can start by factorizing 12:
12 = 3*4 = 2*6 = 12*1 = -3*-4 = -2*-6 = -12*-1
For 3 and 4, b would be 7
2 and 6 => b=8
12 and 1 => b=13
and for the negatives
b can be -7, -8 or -13
So the total set is -13, -8, -7, 7, 8, 13
There are many ways to do this.
X^2+bx+12=0
[tex](-b +- \sqrt{ b^{2} -4*12 } )/2 [/tex]
This equation gives a good answer if
[tex]b ^{2} \geq 48[/tex]
Related Questions
How to solve systems of linear equations step by step?
Answers
Solve the inequality.
q + 12 – 2(q – 22) > 0
q < 56
q > –32
q > 56
q < –32
Answers
Answer:
q<56
Step-by-step explanation:
An inequality is an algebraic expression that consists of two members separated by an inequality. The inequality can be <, ≤,>, ≥.
Solving an inequality consists in finding the value or values that verify it.
An inequality of the first degree is an inequality in which the variable is of degree one, as in this particular case.
In this case, the resolution must first eliminate the parentheses on the left side of the inequality. For that you apply distributive property. This property expresses that the multiplication of a number by a sum is equal to the sum of the multiplications of that number by each of the addends. So you get:
q+12-2*q-2*(-22)>0
q+12-2*q+44>0
Then the terms contained in "q" must be grouped on one side of the inequality and the independent terms on the other. In this case the terms with the variable "q" will remain on the left side of the inequality. The independent terms will be grouped on the right side, remembering that to take them to the other side of the inequality the opposite operations will be used. This is:
the opposite operation of the sum is the subtraction .the opposite operation of subtraction is the sum .the opposite operation of multiplication is division .the opposite operation of the division is multiplication.So:
q-2q>-12-44
Solving the corresponding addition and subtraction operations you get:
(-1)*q>-56
Since the coefficient that accompanies "q" is negative, it is multiplied by −1 on both sides of the inequality, so the direction of inequality will change.
q<56
Finally, the values for which the inequality is valid are those in which q is less than 56
In one study, the correlation coefficient of measured iq at ages 8 and 10 was .88. this shows a _____ correlation.
Answers
_________________________________________________
Express the area of a rectangle as a function of the width w if the width of the rectangle is twice its length
Answers
Find the quotient.
22x ^2 y ^2 ÷ 11x ^2 y ^2
0
1/2
2
2xy
Answers
2x^4 y^4
Which statement is true about the graphs of the two lines y = x + 2 and y = x ?
The lines are perpendicular to each other because and are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
Answers
Can someone please clearly explain and workout Q5? Much appreciated
Answers
s = ½ (u + v) * t and we are told
u = 18 v = 14 and t = 100 so, we put those into the formula:
s = ½ (18 + 14) * 100
s = ½ (32) * 100
s = ½ * 3,200
s = 1,600
1. Which ordered pairs are a solution to the equation?
y = 3x - 4
options:
(4,2)
(1, -1)
(-1, -7)
(2, 2)
2.Which ordered pairs are a solution to the equation?
y = 4 - 2x
options:
(-1,2)
(0,4)
(-1,6)
(1,6)
Answers
How do you solve 18b2c-12ab3+30ab?
Answers
[tex]6b(3\times 2c - 2a \times 3 + 5a) \\ \\ 6b(6c - 6a + 5a) \\ \\ 6b(6c - a)[/tex]
We're simply just trying to factor this out.
So : What goes into ALL of these numbers?
6 does! :)
So, divide everything by 6.
6(3b²c - 2ab³ + 5ab)
Now, what else goes into these numbers/variables? :)
b does! So, simply factor out b.
6b(3bc - 2ab² + 5a)
----------------------------
To check if this is correct, simplify this & see if it is the same as our original equation.
(6b · 3bc) + (6b · -2ab²) + (6b · 5a)
Simplify.
(18b²c) + (-12ab³) + (30a)
Get rid of the parenthesis.
18b²c - 12ab³ + 30a = 10b²c - 12ab³ + 30ab (Our original equation)
Therefore, 6b(3bc - 2ab² + 5a) is our correct answer.
~Hope I helped!~
What is the total flow (loads per week) between department y and department z?
Answers
A company needs to locate three departments (X, Y, and Z) in
the three areas (I, II, and III) of a new facility. They want to minimize
interdepartmental transportation costs, which are expected to be $.50 per load
per meter moved. An analyst has prepared the following distances and flow
matrices:
Distances (meters):
From/TO I II III
I - 10 20
II - 10
III -
Flows (loads per week:
From/TO I II III
X - 60 90
Y 40 - 160
Z 110 140 -
What is the total flow (loads per week) between department Y
and department Z?
E. 300
Choose the expression that would equal the number of hours in the following question.
If a car averages 50 1/2 miles per hour, how many hours will it take to go 47 1/2 miles?
A: 583/6
B: 285/302
C: 302/285
D: 45,602/6
Answers
Sondra lives in Nebraska and pays 5.5% in sales tax. If she just bought a belt that cost $22, what was the total amount she paid for the belt, including sales tax?
A.$12.10
B.$20.79
C.$34.10
D.$23.21
please help
Answers
5.5% = 0.055
22 * 0.055 = 1.21
22 + 1.21 = 23.21
Answer is D
Answer:
D. $23.21
Step-by-step explanation:
We have been given that Sondra lives in Nebraska and pays 5.5% in sales tax. She just bought a belt that cost $22.
The total amount paid by Sondra for the belt will be equal to cost of belt plus 5.55 of the cost of the belt.
[tex]\text{Total amount paid by Sondra}=\$22+(\frac{5.5}{100}\times \$22)[/tex]
[tex]\text{Total amount paid by Sondra}=\$22+(0.055\times \$22)[/tex]
[tex]\text{Total amount paid by Sondra}=\$22+\$1.21[/tex]
[tex]\text{Total amount paid by Sondra}=\$23.21[/tex]
Therefore, the total amount paid Sondra for belt is $23.21 and option D is the correct choice.
What is the definition of principal square root in math?
Answers
Final answer:
The principal square root in math refers to the positive square root of a number. It is denoted as √x and is applicable to non-negative numbers.
Explanation:
The principal square root in math refers to the positive square root of a number. It is denoted as √x, where x is a non-negative number.
For example, the principal square root of 25 is √25 = 5 because 5 multiplied by itself equals 25.
The principal square root is only applicable to non-negative numbers, while negative numbers have no real square roots.
The sum of two numbers is 56. Their difference is 18.
Answers
x+y=56
x-y=18
2x=74
x=37
y=19
Hope this helped!
The numbers are 37 and 19
From the question,
Let the numbers be x and y
From the first statement
The sum of two numbers is 56.
That is,
x + y = 56 --------- (1)
From the second statement
Their difference is 18
That is,
x - y = 18 ----------- (2)
Add equations (1) and (2)
x + y + x - y = 56 + 18
2x = 74
∴ x = 74 ÷ 2
x = 37
Substitute the value of x into equation (1) to determine the value of y
x + y = 56
37 + y = 56
y = 56 - 37
y = 19
∴ x = 37 and y = 19
Hence, the numbers are 37 and 19.
Learn more here: https://brainly.com/question/21684141
find the slope of a line whose equation is 3X+6Y=9
Answers
To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.
3x + 6y = 9
6y = -3x + 9
Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.
y = -1/2x + 3/2
Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).
Hope this helps!
What is the length of BC¯¯¯¯¯ ?
Enter your answer in the box.
Answers
2x - x = 24 - 2
x = 22
BC = x = 22
Answer: The required length of BC is 22 units.
Step-by-step explanation: We are given to find the length of BC from the figure.
From the figure, we note that ABC is an isosceles triangle, with AC = AB, where
AC = 2x-24, AB = x-2 and BC = x.
Since AC = AB, so we get
[tex]2x-24=x-2\\\\\Rightarrow 2x-x=24-2\\\\\Rightarrow x=22.[/tex]
Therefore, we get
BC = x = 22.
Thus, the required length of BC is 22 units.
which value for the number makes the statement true?
the quotient of a number and five is eight
a.4
b.8
c.40
d.80
Answers
A quotient is the result of division.
So you're trying to find the quotient of a number (x) and 5 that equals 8.
Try plugging in the answers.
x/5=8
A. x=4
4/5=8 (Incorrect, 4 divided by 5 is 0.8)
B. x=8
8/5=8 (Incorrect, 8 divided by 5 is 1.6)
C. x=40
40/5=8 (Correct, 40 divided by 5 is 8)
D. x=80
80/5=8 (Incorrect, 80 divided by 5 is 16)
So your answer is C. 40
The quotient of 40 and 5 is 8.
Diane left a 15% tip for a meal that cost $44.
What was the amount of the tip?
Answers
$44 + 6.6
= 50.6
and the amount of the tip is $6.6
Answer:
6.60
Step-by-step explanation:
How can you describe the solution set of the equation 16x2 - 8x + 1 = 0?
Answers
There is one real solution because the expression’s factors are the same.
A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions answered correctly? A. 82:50 B. 25:50 C. 59:50 D. 41:50
Answers
Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2
choices:
(2, −5)
(−2, 5)
(2, 5)
(−2, −5)
Answers
5 needs to be positive
reasons the others dont work:
(2,-5) negative
(-2,5) Oof, missed by 2, but the -3 slope works wonders.
(-2,-5) needs to be positive
plz plz plz help!!!!!
Answers
The coefficient 9.9 rounds to 10
So we go from this
(6.3 x 10^(-2))(9.9 x 10^(-3))
To this
(6 x 10^(-2))(10 x 10^(-3))
Multiply out the coefficients to get 6*10 = 60
Add the exponents to get -2 plus -3 = -5
So we end up with 60 x 10^(-5)
Be careful. This is NOT the final answer. We need to convert this to scientific notation
60 = 6*10 = 6 x 10^1
60 x 10^(-5) = ( 6 ) x 10^(-5)
60 x 10^(-5) = ( 6 x 10^1 ) x 10^(-5)
60 x 10^(-5) = 6 x (10^1 * 10^(-5)
60 x 10^(-5) = 6 x 10^(1+(-5))
60 x 10^(-5) = 6 x 10^(-4)
The final answer is choice A
Which equation shows how the properties of numbers extend to negative whole numbers by the Commutative Property of Addition?
A) −2 + 4 = 4 + (−2)
B) −2(4) = 4(−2)
C) (−2 + 4) + 3 = −2 + (4 + 3)
D) −2(4 + 3) = (−2 x 4) + (−2 x 3)
Answers
5 + 4 = 4 + 5
B ) - 2 * (4 ) = 4 * ( - 2 ) / The Commutative Property of Multiplication
C ) ( - 2 + 4 ) + 3 = - 2 + ( 4 + 3 ) / The Associative Property of Addition
D ) - 2 * ( 4 + 3 ) = ( - 2 x 4 ) + ( - 2 x 3 ) / The Distributive Property
Therefore the answer is:
A ) - 2 + 4 = 4 + ( - 2 )
Answer:
Your answer is gonna be D
The Griffins and the Corbins live in the same city and pay the same sales tax rate, and both families made $12,000 in taxable purchases last year. If the Griffins made $73,000 and the Corbins made $29,000 last year, is the sales tax in their city an example of a regressive tax?
A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
B.No, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
C.No, because the Griffins and the Corbins both paid the same sales tax rate.
D.Yes, because the Griffins and the Corbins both paid the same sales tax rate.
Answers
Answer:
The correct answer is A.
Step-by-step explanation:
A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
Regressive tax is applied uniformly and this causes lower-income people to pay a larger share of their income than rich people. It is not a fair way though it seems to be. Most regressive taxes are not income taxes.
Assume that we want to find the probability that when five consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Also assume that 38% of consumers are comfortable with the drones (based on a survey). Identify the values of n, x, p, and q. The value of n is __. (Type an integer or a decimal. Do not round.) The value of x is __. (Type an integer or a decimal. Do not round.) The value of p is __. (Type an integer or a decimal. Do not round.) The value of q is ___ . (Type an integer or a decimal. Do not round.)
Answers
In the given problem, n (the number of trials) is 5, x (the amount of 'successes' we're seeking) is 2, p (the probability of success) is 0.38, and q (the probability of failure) is 0.62.
Explanation:In the given problem, we are conducting a binomial experiment where five consumers are randomly selected and we are interested in the number who are comfortable with drone delivery. So, the total number of trials, n, will be equal to the number of consumers selected, which is 5.
The value to be observed, x, is exactly 2, because we want to find out the probability of exactly two of them are comfortable with delivery by drones.
The probability of success, p, is the proportion of consumers that are comfortable with delivery by drones, so p = 0.38 (or 38%).
The probability of failure, q, is the proportion of consumers that are not comfortable with delivery by drones, so q = 1 - p = 1 - 0.38 = 0.62.
Learn more about Binomial Distribution here:https://brainly.com/question/39749902
#SPJ12
A color printer prints 24 pages in 7 minutes. how many pages does it print per minute?
Answers
Final answer:
The color printer prints approximately 3.43 pages per minute. This is calculated by dividing the total number of pages (24) by the total printing time in minutes (7).
Explanation:
To calculate the number of pages a color printer prints per minute, we use the information provided that it prints 24 pages in 7 minutes. The calculation is a simple division problem:
Determine the rate by dividing the total number of pages by the total number of minutes.Pages per minute = Total pages printed ÷ Total minutesPages per minute = 24 pages ÷ 7 minutesCalculate the quotient to find the page rate.Pages per minute ≈ 3.43 pages per minuteTherefore, the printer prints approximately 3.43 pages per minute.
How to factor with a number in front of the first variable?
Answers
Plz help! 2 questions!! A machine is wrapping 18 boxes in 5 minutes. If the machine continues at the same rate, how many boxes will it rap in 25 minutes ? A.38 B.90 C.23 D.72
Chris is making lemonade. The directions say to mix 5 cups of water with 2 scoops of powdered lemonade mix. How many cups of water should he use with 2.5 scoops of fruit mix? A.6 B.6.25 C.6.5 D. 6.75
Answers
25 * (18/5) = 90
B
Question 2:
2.5 * (5/2) = 6.25
B
In 1 minute = 18/5 boxes
In 25 minutes = 18/5 x 25 = 90
So correct option is B . 90
2 scoops = 5 cups of water
1 scoop = 5/2 cups of water
2.5 scoop = 5/2 x 2.5 = 6.25
So correct option is B. 6.25
Hope This Helps You!
How has the Customer Service Institute of America helped the banking industry?
A by creating a centralized call center to handle all banking complaints
B by setting standards that help banks measure their level of customer service
C by creating customer service surveys for banks
D by implementing a program for bank executives
Answers
Answer:
by setting standards that help banks measure their level of customer service
Step-by-step explanation:
How do you draw a skew line?