2.
How can you tell when a quadratic equation has two identical, rational solutions? (1 point)

when the radicand is negative
when b in the quadratic formula is greater than the radicand
when the radicand equals zero
when the radicand is not a perfect square,

Answers

Answer 1
The general formula for the solutions of a quadratic equation
ax² + bx + c = 0

are given by:

x₁₂ = [- b +- √(b²-4ac) ] / 2a

You have three cases:

1) the radicand is positive: you then have two dinstinct soutions, one with the root added to (-b) and then divided by 2a, and the other one with the root subtracted to (-b) and then divided by 2a.

2) the radicand is negative: you then have no solutions, because the root can't be performed. This case means that the given polynomial is never equal to zero.

3) the radicand is equal to zero: you then have the same value for both the solutions, which is -b/(2a).

Therefore your answer should be: C) when the radicand is equals to zero.

Related Questions

PLEASE HELP ME! I keep getting the wrong answer.

Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?

g(x) − f(x) = 3x − 8 − 5x

g(x) − f(x) = 3x − 10 − 5x

g(x) − f(x) = −2x − 8 − 3x

g(x) − f(x) = −2x − 10 − 3x,

Answers

Given that f(x) = 5x − 1 and g(x) = 3x − 9, it is required to find the value of g(x) − f(x). g(x) − f(x) = [3x − 9] - [5x − 1]. - By substitution. = 3x - 5x -9 +1 -by simplifying and rearranging = -2x -8 -by solving = -2(x+4) -by taking out -2 as a factor of both terms. Hence either -2x -8 or -2(x+4) is the needed answer for finding the difference of the two given functions.

Write and simplify the equation you would use to solve the problem below. Scott has a jar of quarters and dimes. If there is $4.15 in the jar, and there are 4 dimes, how many quarters are in the jar?

A. x(25 + 10) = 415
B. 25x + 40 = 415
C. 25x + 10 = 415
D. 4 * 10x + 25x = 415

Answers

The correct option is: B. 25x+40=415 
 The explanation is shown below:
 
 1. You have that:
 
 - There is $4.15 in the jar.
 -There are 4 dimes in the jar.
 
 2. Therefore:
 
 1 quarter=25 cents
 4 dimes=40 cents
 $4.15=415 cents
 
 3. Then, you have that the equation you would use to solve the problem and to calculate how many quarters are in the jar, is:
 
 25x+40=415 

Thaddeus wants to attend a sports camp this spring that costs $170.00 for the week. He rakes leaves during the fall and earns $58.35. He shovels snow during the winter and earns $85.80. How much more money does Thaddeus need to earn to pay for the sports camp? Write your answer as a decimal. Thaddeus needs to earn

Answers

the answer to this question is 25.85

He need $25.85 more to pay.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Charge for week = $170

earnings from leaves raking = 58.35

Earnings from snow shoving = 85.80

Total earnings = 85.80 + 58.35 = $144.15

So, he need more

=170 - 144.15

=$25.85

Hence, He need $25.85 more to pay.

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A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided. If 2,000 people participated in the survey, people were satisfied with the career guidance.

Answers

2000*(1-.85) = 300
300 individuals were satisfied with their careers

Answer:

See image

Step-by-step explanation:

Plato

25 POINTS!
Which of the following ordered pairs is a possible solution to the equation y = 3x - 2?
A: (0, 2)

B: (1, 1)

C: (-3, 1)

D: (2, 0)

Answers

To solve this you'll plug in the ordered pairs and if the answer is equal then it is the answer.

A: 2 = 3(0) - 2
     2 = 0 - 2 
     2 ≠ -2

B: 1 = 3(1) - 2
     1 = 3 - 2
      1 = 1

C: 1 = 3(-3) - 2
      1 = -9 - 2
       1 ≠ -11

D: 0 = 3(2) - 2
     0 = 6 - 2
     0 ≠ 4

So the answer choice B is the solution to the given equation.

Hope this helps :)

The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).

To determine if an ordered pair is a possible solution to the equation y = 3x - 2, we need to check if the x and y values satisfy the equation when substituted into it.

Let's check each option:

A: (0, 2)

Substitute x = 0 and y = 2 into the equation:

2 = 3(0) - 2

2 = -2

This is not true, so (0, 2) is not a possible solution.

B: (1, 1)

Substitute x = 1 and y = 1 into the equation:

1 = 3(1) - 2

1 = 1

This is true, so (1, 1) is a possible solution.

C: (-3, 1)

Substitute x = -3 and y = 1 into the equation:

1 = 3(-3) - 2

1 = -11

This is not true, so (-3, 1) is not a possible solution.

D: (2, 0)

Substitute x = 2 and y = 0 into the equation:

0 = 3(2) - 2

0 = 4

This is not true, so (2, 0) is not a possible solution.

The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).

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The diagram represents the enlargement of a rectangle by using a scale factor of 6

Answers

If you're are looking for the dimension of the pre-image, I believe it would be 30. For the enlarged rectangle, 30•6= 180. Just divide 180 by the scale factor, 6, and that gives you 30. I hope this helps! :) 

5*1 is the dimension of the original rectangle.

What is Scale?

The scale is the proportion that is used to show how the dimensions of a model or scaled figure compare to the equivalent dimensions of the real figure or item. In contrast, a scale factor is a number that is multiplied by each component of an item to create an expanded or reduced figure.

Given With a scale factor of 6, the diagram depicts the expansion of a rectangle.

and the new rectangle is 30*6 in size.

The scaling factor is 6

thus,

the length of the original rectangle = 30/6

the length of the original rectangle = 5

the width of the original rectangle = 6/6

the width of the original rectangle = 1

therefore, the dimension of the original rectangle is 5*1.

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Complete question:

What measurements did the initial rectangle have?

If your credit reports shows different scores, what should you do?

A) Nothing, the credit bureaus will recognize the mistake and fix it for you.

B) Get in touch with credit bureaus to see if they have different or inaccurate information on your credit history.

C) Research online to see how you can get into the system and fix it yourself.

D) Visit your local bank and have them fix it for you.

Answers

The correct answer is B) contact the credit bureaus to see if they have different or inaccurate information.  The credit bureaus are the ones that can help you correct mistakes in your report.

Answer:

(B) is correct

Step-by-step explanation:

As the credit reports shows different scores so it will be resolved by credit bureaus and the report only shows different scores in case they have incorrect or different info about our credit history so we should contact the credit bureaus and ask them to correct the information of our credit history.

So, the right answer is (B).


If 12 is added to the square of a positive integer, the result is 133. Find the positive integer

Answers

1. Integers numbers are defined as the set of numbers that is formed by Positive numbers, which are also called "Natural numbers"; Negative numbers (They are less than zero) and zero (This has no sign). This set is represented with the letter "Z". Therefore: Z={...-2, -1, 0, 1, 2 ...}.
 
 2. So, if 12 is added to the square of a positive integer, you can write the following the expression: 
 12+x²=133
 
 3. You can obtain the value of the positive integer "x", by clearing it. Then, you have:
 
 12+x²=133
 x²=133-12
 x=√(133-12)
 x=√121
 x=11
 
 Therefore, the positive integer is: 11

11___________________________

Easy Money CLick here

Answers

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What is a quartic function with only the two real zeroes given?

x=5 and x=1

Answers

The answer is

Y=x^4-6x^3 +6x^2 -6x+5

The quartic function with only two real zeroes given as; x=5 and x=1 is; x⁴ -12x³ +46x²-60x +25

With two zeroes given for a quartic equation;

The zeroes must appear twice each such that the factors of the function are;

(x-5), (x-5) , (x -1) and (x- 1)

The quartic function is therefore:

(x² -10x +25) (x² -2x +1)

(x² -10x +25) (x² -2x +1)x⁴ -2x³ +x² -10x³ +20x² -10x + 25x² -50x +25

(x² -10x +25) (x² -2x +1)x⁴ -2x³ +x² -10x³ +20x² -10x + 25x² -50x +25= x⁴ -12x³ +46x²-60x +25

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Suppose a population of 40 crickets doubles in size every month. the function gives the population after x months. how many crickets will there be after 3 years?

Answers

The function is given by:
f(x)=40(2)^x
where x is in months
he population after 3 years will be found as follows:
x=3 years=3×12=36 months
thus the population after 3 years will be:
f(36)=40(2)^36
f(36)=2.748779069×10^12

Answer:

2,880

Step-by-step explanation:

just trust me, it's that one

the difference of a number t and 7 is greater than 10 and less than 20....show me how to write this as an inequality.,

Answers

While writing inequalities we should know about symbols a>b means a is greater than b a<b means a is less than b so here we have to write difference between t and 7= t-7 given t-7 is greater than 10 so t-7>10 and t-7 is less than 20 so t-7<20 combining above two we get 10<t-7<20, 17 < t < 27

The reference angle for an angle whose measure is 260 degrees is

Answers

bearing in mind that, the reference angle, is the angle made by the terminal point and the x-axis, check the picture below.

Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3. What is a? What is b? Factor the expression. es003-1.jpg es003-2.jpg es004-1.jpg es005-1.jpg es006-1.jpg

Answers

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

The given expression is a sum of two cubes. The factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].

Given:

The given identity is, [tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex].

It is required to factorize [tex]8q^6r^3 + 27s^6t^3[/tex] using the given identity.

The given expression can be written in the form of sum of two cubes as,

[tex]8q^6r^3 + 27s^6t^3=2^3q^6r^3 + 3^3s^6t^3\\=(2q^2r)^3+(3s^2t)^3[/tex]

Here, a and b are [tex]2q^2r[/tex] and [tex]3s^2t[/tex] respectively.

Now, the factorization of the given expression can be one as,

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\(2q^2r)^3+(3s^2t)^3=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]

Therefore, the factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].

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a triangle has verices at (4,-2), (-3,0) and (1,3). what is the approximate perimeter of the triangle?
1. 17 units
2.18 units
3.19 units
4.20 units

Answers

hello

You have three points and need to find the distances between each pair of them.  You can do this with the Pythagoras theorem applied to each: For the first pair (1, 3), (2, -3)(2 - 1) is the change in distance between the x-coordinates and(3 - -3) is the change in distance between the y (2 - 1)2 + (3 + 3)2 = c21 + 36 = c2c = √37 Repeat for (2, -3), (-1, -1) and(-1, -1), (1, 3) Add your c's together and you will have your perimeter

Have a nice day

what are the similarities between reflections translations rotations and dilations?

Answers

In reflection, translation and rotations the pre image and the image are congruent and in dilation they are similar 

Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the squares of the first two. one solution is 33​, 55​, and 77. find three other consecutive odd integers that also satisfy the given conditions.

Answers

Let
x-----------> first odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the  second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

Answer:

Step-by-step explanation:

You are buying a $24.50 item that has 6% sales tax. You give the cashier $40 to pay for the item. How much change do you get back?

Answers

Answer:

14.03

Step-by-step explanation:

I took a test

There are $14.03 get change do you get back.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

You are buying a $24.50 item that has 6% sales tax.

And, You give the cashier $40 to pay for the item.

Here, You are buying a $24.50 item that has 6% sales tax.

Hence, The amount of sales tax = 6% of $24.50

                                                  = 6/100 × $24.50

                                                  = $1.47

Thus, The amount of charge = $40 - ($24.50 + $1.47)

                                            = $40 - $25.97

                                            = $14.03

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N the construction of a new building, a landscape architect determined that he had a plot 810 feet by 35 feet, to be filled to a depth of 6 inches with loam. how many cubic yards of loam would he require?

Answers

Volume is the product of length, width, and depth. Since you want the result in cubic yards, it is convenient to convert the measures to yards.
  (270 yd)*(35/3 yd)*(1/6 yd) = 525 yd³ . . . . required volume of loam

Which diagram represents rx ◦ RO,180°?

Answers

If this is for edge unity the answer is B. 

Answer:

the correct answer is B

our family shares all the minutes in your cell phone plan. Every 30 days you get 4,800 minutes. Four people share the minutes. How many minutes can each person use per day if the minutes are split fairly?

Answers

"Fairly" is a loaded word. Perhaps you want to split the minutes so that each of 4 people gets the same number.
.. (4800 min)/(30 day)*/(4 person)
.. = 4800/(30*4) min/day
.. = 40 min/day/person

Each person can use 40 minutes per day.
That depends on the size of the month
Sept Apr June Nov all have 30 days.
4800/4 = 1200 (monthly allotment per month) / person
1200 / 30 = 40 minutes per day.

All the others have 31 days
4800 / 4 = 1200 minutes per month
1200/31 = 38.71 minutes per day = 38 minutes 42 seconds Don't make that last 42 seconds to your boy friend/girl friend.

Except February which has 29 days on leap years.
Each has 1200 minutes per month
1200/29 = 41.37 minutes = 41 minutes 22 seconds.
or
February has 28 day days most years.
each person has 1200 minutes per month.
1200 / 28 = 42.86 minutes = 42 minutes and 51 minutes 

A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches. Which expression shows the area of the base of each pyramid?
A. 1/3x^2 in.2
B. 1/4x^2 in.2
C. x2 in.2
D. 1/2x^2 in.2
Also...
A solid right pyramid has a square base with an edge length of x cm and a heigt of y cm. Which expression represents the volume of the pyramid?
A. 1/3x2y cm3
B. 1/2xy2 cm3
C. 1/3xy cm3
D. 1/2x2y cm3
This is all the info I am given HELP

Answers

Answer: Th answer is A

Final answer:

The area of the base of each pyramid, if divided from a square base of entire length x inches and made of 8 pyramids, should be 1/8 x[tex]^[/tex] in.2, but among given options, B. 1/4 x[tex]^[/tex] in.2 is closest. The volume of a solid right pyramid with square base edge length x cm and height y cm is correctly given by A. 1/3 x[tex]^[/tex]y cm3.

Explanation:

To find the area of the base of each pyramid in a soundproofing tile made of 8 identical solid right pyramids with square bases, we will calculate the area of the entire square base of the tile and then divide by the number of pyramids. If the length of the whole tile is x inches, the area of the whole base is x[tex]^[/tex] square inches. Since there are 8 pyramids, the area of the base of each pyramid is x^2 divided by 8, which simplifies to 1/8 x[tex]^[/tex] square inches. However, this option is not listed, suggesting there may have been an error in the question or choices provided. Regardless, among the given options, the closest would be B. 1/4 x[tex]^[/tex] in.2, considering the whole square is likely split into quarters for each pyramid.

For the volume of a solid right pyramid with a square base with an edge length of x cm and a height of y cm, the formula for the volume of the pyramid is 1/3 times the area of the base times the height. The area of the base, which is a square, is x[tex]^[/tex], so the volume is 1/3 x[tex]^[/tex]y cm3. Therefore, the correct answer is A. 1/3 x[tex]^[/tex]y cm3.

PLEASE HELP ME QUICK

PLEASE EXPLAIN AND IF 2 PPL ANSWER I WILL GIVE BRAINLIEST..

THX

Answers

The answer to this is the top option. 

The one on the page with the question.

What is the coefficient of x4y4 in the expansion of (x + y)8?

Answers

Answer:

70

Step-by-step explanation:

If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power.  Those 9 terms are:

1, 8, 28, 56, 70, 56, 28, 8, 1

The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):

[tex]1(x^8)(y^0)+8(x^7)(y^1)+28(x^6)(y^2)+56(x^5)(y^3)+70(x^4)(y^4)+...[/tex]

Answer:

70

Step-by-step explanation:

apex

Write 58 1/2 in radical form

Answers

58^(1/2) is √58 if that is what you meant

What is the median of the following set of data?

78, 92, 98, 87, 86, 72, 92, 81, 86, 92

Answers

Your median of the following set of numbers is 86.5.
First, line the data up from least to greatest, then You need to find the middle two numbers of the set of data. Next, you add those two numbers up and then divide it by two.
86 + 87 = 173
173 divided by 2 = 86.5.
I hope I helped! 

Answer:

86.5

Explanation:

If you list these numbers in order from least to greatest, you get 10 numbers. Since there are isn't a number in the middle, you have to find the value between 86 and 87 which gives you 86.5. Sorry for the late response and have a great day!

50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in order to get 320-lb mixture that is 9% protein?
How many pounds of cornmeal should be in the mixture? How many pounds of soybean should be in the mixture?

Answers

The first thing we are going to do for this case is define variables.
 We have then:
 x: Amount of soybean meal
 320 - x: quantity of cornmeal
 We now write the equation that models the problem:
 [tex]0.16x + 0.08 (320-x) = 0.09 (320) [/tex]
 Rewriting we have:
 [tex]0.16x + 25.6 - 0.08x = 28.8 [/tex]
 From here, we clear x:
 [tex]0.16x - 0.08x = 28.8 - 25.6 0.08x = 3.2 x = 3.2 / 0.08 x = 40[/tex]
 Then, the amount of Soybean meal is:
 [tex]x = 40 lb [/tex]
 The amount of cornmeal is:
 [tex]320 - x = 320 - 40 = 280 lb [/tex]
 Answer:
 
cornmeal: 280 lb
 
Soybean: 40 lb.

What type of graph is useful when depicting piece rates?

A. Bar graph
B. Scatterplot
C. Slope
D. Linear graph

Answers

The answer is the option "B".

 Therefore, the type of graph that is useful when depicting piece rates is the "Scatter plot".

 You can use a Scatter Plot to show the relationship between two sets of data or two variables, this is called "Correlation". 

 It is formed by two axes: one of them is horizontal and the other one is vertical. 



A linear graph is most useful when depicting piece rates as it clearly shows the continuous relationship and trend between the number of items produced and the pay received, represented by a positive, negative, or zero slope.

When depicting piece rates, which relate the payment an individual receives to the number of pieces produced or tasks completed, a linear graph or line graph is often most useful. Linear graphs effectively illustrate relationships between two variables, such as the number of items produced (on the x-axis) and the amount of money earned (on the y-axis), highlighting trends and changes over a range of values. A bar graph may be best to illustrate comparisons when showing the relationship of separate and distinct categories. However, in the context of piece rates, where there is a continuous relationship between work done and pay received, the connected data points in a line graph provide a clear visual of the rate of payment as it changes with the number of pieces.

Understanding the appearance of slopes is essential in reading graphs. A positive slope indicates an increase or upward trend in the relationship between the two variables, a negative slope represents a decrease or downward trend, and a zero slope indicates a consistent, flat relationship with no change over time.

A chemist weighed out 101. g of potassium. Calculate the number of moles of potassium she weighed out.

Round your answer to 3 significant digits.

Answers

 The answer is 2.58 moles potassium
The solution to this is,
to find moles, convert grams to mole by the equation
grams(mole/gram)=moles
101. g of potassium(1 mole potassium/39.10 g potassium)=2.58 moles potassium

Answer:

101 g of Potassium is equivalent to 2.583 moles of Potassium.

Step-by-step explanation:

As per definition of moles, molecular weight of a substance = 1 mole

So molecular weight of Potassium = 39.0983 g

∵ 39.0983 g weight of Potassium = 1 mole

∴ 1 g weight of Potassium = [tex]\frac{1}{39.0983}[/tex] g

∴ 101 g of Potassium = [tex]\frac{101}{39.0983}[/tex] g

                                  = 2.583 moles

Therefore, 101 g of Potassium is equivalent to 2.583 moles of Potassium.

can anyone help me solve these two questions
1 you have 75% of your pay direct/-deposit how much is given to you as a check per week ?

2. of the amount direct-deposited problem 1 you have 50% placed into a savings account how much is deposited in the savings account each month?,

Answers

Final answer:

The student takes home a check of $25.94 each week after deductions and direct deposit. Of the amount direct-deposited, $38.92 is placed into a savings account weekly, resulting in $155.68 being deposited into the savings account monthly.

Explanation:

To solve the first problem, we must start by calculating the gross income for one week of work:

Gross income = Hourly rate × Hours worked per week = 13.76 × 10 = $137.60

Next, we calculate each of the deductions from the gross income:

FICA = Gross income × FICA rate = $137.60  × 7.65% = $10.52Federal tax withholding = Gross income ×  Federal tax rate = $137.60  × 9.8% = $13.48State tax withholding = Gross income × State tax rate = $137.60 ×  7.13% = $9.82

Now we calculate the total deductions:

Total deductions = FICA + Federal tax + State tax = $10.52 + $13.48 + $9.82 = $33.82

The net income after deductions is:

Net income = Gross income - Total deductions = $137.60 - $33.82 = $103.78

We then determine the amount directly deposited:

Direct deposit amount = Net income × Direct deposit percentage = $103.78 × 75% = $77.84

The remaining paycheck given as a check each week is:

Check amount = Net income - Direct deposit amount = $103.78 - $77.84 = $25.94

For the second question, we already know from the scenario that $77.84 is directly deposited. We just need to calculate the amount that goes into the savings account:

Savings deposit per week = Direct deposit amount × Savings account percentage = $77.84 × 50% = $38.92 per week

To find the monthly savings deposit, we assume there are 4 weeks in a month:

Savings deposit per month = Savings deposit per week  × 4 = $38.92  × 4 = $155.68 per month
Other Questions
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