Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discriminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.

Answers

Answer 1

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

[tex]x = \frac{-b +- R }{2*a}[/tex]

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

[tex]x = \frac{-b +- C*i }{2*a}[/tex]

We have two complex solutions.

If D = 0

√0 = 0

then:

[tex]x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}[/tex]

We have only one real solution (or two equal solutions, depending on how you see it)

Answer 2

Answer:

B (–4, –12)

Step-by-step explanation:

If its even the right question


Related Questions

I need help. I’m not understanding this question

Answers

the answer is letter c.

Answer:

D

Step-by-step explanation:

slope=(-2-7)/(3-0)=-9/3=-3

f(x)-7=-3(x-0)

f(x)=-3x+7

Take any two points .

I took (0,7) and (3,-2),then slope=(y2-y1)/(x2-x1)=(-2-7)/(3-0)=-9/3=-3

you can take any two points.

Let us take (-6,25) and (-3,16)

slope=(16-25)/(-3-(-6))=-9/(-3+6)=-9/3=-3

eq. of line is

y-y1=m(x-x1),here m=-3

y-25=-3(x-(-6))=-3(x+6)=-3x-18

y=-3x-18+25

y=-3x+7

Here y=f(x)

plz help quick i will mark u brainiest its about transishons

Answers

Answer:

(x,y) --> (x+4, y-5)

Step-by-step explanation:

A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)

Triangle ABC is a right triangle, angle B is the right angle, angle A is
8x + 2, and angle C is 9x + 3.
What is the measurement of angle A?
ОООО

42°
45°
48°

Answers

The answer is 42 degrees.

A triangle has to equal 180 degrees in total. Because you know it is a right triangle and b is the right angle you make angle a plus c equal 90. You add together 8x and 9x to get 17x and add the 2 and 3 to get 5. You have to solve for x so you subtract 5 from both sides to get 17x = 85. To get x alone you divide both sides by 17 giving you x=5. Now that you have x you plug it into to the equation for angle a. This gives you 8(5)+2 which equals 42.

8x+2+9x+3=90
17x+5=90
17x=85
X=5

8(5)+2=
40+2=42

1+1 is what because I’m really confused on this question and answer is it...idk 4

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.

Answers

Answer:

The correct option is;

0.4 represents the height of each block

Step-by-step explanation:

The information given are;

Kirima first builds a firm base of a given height

Kirima is building her wall using uniformly sized bricks

the height of the wall she is building depends on the number of blocks stacked to form the wall

Therefore, variable that depends on other variable, which is the dependent variable, y, is the height of the wall

The independent, which determines the value of the dependent variable is the number of blocks added, x

The gradient of the equation is the height of each block = 0.4

The y-intercept is the starting value, which is the firm base of dimension, 0.6

Therefore, 0.4 represents the height of each block.

According to the US food and drug administration (fda) what must any product claiming to be organic contain

Answers

Answer:at least 95% organically produced ingredients

Step-by-step explanation: Trust me it is the  right answer i took the quiz

Help please I have a test next hour over this question, but have no clue how to solve for it.

Answers

Answer:

Multiply both sides of the equation by 5

5⋅(b+6/5)=5⋅10

Simplify both sides of the equation.

b+6=50

Move all terms not containing b to the right side of the equation.

b=44

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

Step1 = b+6= 10×5

b+6=50

Step2 b= 50-6

= 44

Hope this may helps you

Mark me the brainlest

Solve the equation
v²=8
v≈ __ (Type an integer or a simplified fraction.)

Answers

Answer:

v =2

Step-by-step explanation:

v^3 = 8

Take the cube root of each side

v^3 ^ (1/3) = 8 ^1/3

v = 2

2(3x–1)=9(x–2)–7 pls find x

Answers

Answer:

Step-by-step explanation: multiply 2 with 3x-1

6x-2

multiply 9 with x-2

9x-18

form equation:

2(3x-1)=9(x-2)-7

or, 6x-2=9x-18-7

or, 9x-18-7=6x-2

or, 9x-6x= -2+18+7

or, 3x=23

or, x=23/3

Ans:  x= 7.67

Multiply 2*3x and 2*-1 for the left side. On the right side multiply 9*x and 9*-2.
6x - 2 = 9x - 18 - 7.
Combine like terms. 6x - 2 = 9x - 25.
Then add 2 and subtract 9x.
-3x = -23.
Divide the negative
3x = 23. Then divide 3
x = 23/3 = 7.667...

Consider this question:

-2x=x^2-6

1) Rewrite the question by completing the square. Your equation should look like (x+c)^2=d or (x-c)^2=d.

2) What are the solutions to the equation?

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Given

- 2x = x² - 6 ( subtract x² from both sides )

- x² - 2x = - 6 ( multiply through by - 1 )

x² + 2x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 6 + 1

(x + 1)² = 7

(2)

Take the square root of both sides

x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )

x = - 1 ± [tex]\sqrt{7}[/tex]

Solutions are x = - 1 - [tex]\sqrt{7}[/tex] , x = - 1 + [tex]\sqrt{7}[/tex]

i am confused in this can someone help?

Answers

Answer:

[tex]\huge\boxed{\sf a = -12 , b = 8}[/tex]

Step-by-step explanation:

Given polynomial is:

[tex]f(x) = ax^3+ b^2 + 3x + 4[/tex]

[tex]\rule[225]{225}{2}[/tex]

First factor is (x-1)

Let x - 1 = 0  => x = 1

Putting this in the above polynomial

[tex]f(1) = a(1)^3 + b(1)^2 + 3(1) + 4[/tex]

Given that it's remainder is 3

[tex]3 = a + b + 3 + 4[/tex]

[tex]3 = a + b + 7[/tex]

Subtracting 7 to both sides

[tex]-4 = a + b\\OR \\[/tex]

a + b = -4 -------------------------- (1)

[tex]\rule[225]{225}{2}[/tex]

Second Factor is 2x + 1

Let 2x + 1 = 0 => x = - 1 / 2

Putting in the above polynomial

[tex]f(-\frac{1}{2} ) = a (-\frac{1}{2} )^3 + b (-\frac{1}{2} )^2 + 3 (-\frac{1}{2} ) + 4[/tex]

The remainder is 6

[tex]6 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2} + 4\\6 - 4 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2}\\2 = \frac{-a + 2b -12 }{8} \\-a + 2b - 12 = 16\\-a + 2b = 16 + 12\\[/tex]

-a + 2b = 28  --------------------------------(2)

[tex]\rule[225]{225}{2}[/tex]

Adding both equations

a + b -  a + 2b = -4 + 28

3b = 24

Dividing both sides by 3

b = 8

[tex]\rule[225]{225}{2}[/tex]

Putting b = 8 in Equation (1)

a + 8 = -4

a = - 4 - 8

a = -12

[tex]\rule[225]{225}{2}[/tex]

Choose all of the transformations that correctly maps figure A onto figure B

Answers

Answer: It seems you may have to post a picture/ link because I cannot see it.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

cause take this class

can you show me the full formula i will reward you with 10 points​

Answers

Answer:

The formula is 4x+3x+2x=180.

x= 20

a= 40

b= 80

c= 60

Step-by-step explanation:

The expression is the angle measurments equaled to 180 degrees because they all make up a straight line (180 degrees).

You then find the other angle measurments by identifying the verticle angles.

For example, 3x= 60 degrees. Therefore angle C= 60 because it is verticle to 3x

Eight more than twice a number is eight. Find the number.

Answers

Answer:

Step-by-step explanation:

2x + 8 = 8

Subtract 8 from both sides.

2x = 0

Divide both sides by 2.

x = 0

The required number, eight more than twice a number is eight, is 0.

Given that,
To find the number which is eight more than twice a number is eight.

What is simplification?

The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,

Let the number be x,
The eight more than twice a number is eight. So,
8 = 2x + 8
2x = 0
x = 0

Thus, the required number, eight more than twice a number is eight, is 0.

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what is the answer h+6\5=2

Answers

Answer:

h = 4/5

Step-by-step explanation:

h + (6/5) = 2

h = 2 - (6/5)

h = (10/5) - (6/5)

h = (10-6)/5

h = 4/5

Check:

(4/5) + (6/5) = 2

10/5 = 2

The solution to the equation h + 6/5 = 2 is h = 4/5.

Given is an equation h + 6/5 = 2, we need to solve for h,

To solve the equation h + 6/5 = 2, we need to isolate the variable h on one side of the equation.

Let's begin by subtracting 6/5 from both sides of the equation to get rid of the term on the left side:

h + 6/5 - 6/5 = 2 - 6/5

Simplifying the equation:

h + (6/5 - 6/5) = 2 - 6/5

The term (6/5 - 6/5) is equal to 0, so we have:

h + 0 = 2 - 6/5

Simplifying further:

h = 2 - 6/5

To combine the fractions on the right side, we need a common denominator, which in this case is 5.

We can convert the whole number 2 into a fraction with a denominator of 5:

h = (2 x 5)/5 - 6/5

This becomes:

h = 10/5 - 6/5

Now we can subtract the fractions:

h = (10 - 6)/5

Simplifying:

h = 4/5

Therefore, the solution to the equation h + 6/5 = 2 is h = 4/5.

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Can you help me with this​

Answers

Answer:

12 only.

Step-by-step explanation:

When the question is asking for f(0), it is asking for the value of y when x = 0.

We see that there is only 1 intersection at x = 0, and the y value would equal 12.

Therefore, our answer is 12 only.

Answer:

The answer is a.12 only its where the x coordinate stays 0 and the y coordinate decreases or increases

Step-by-step explanation:

Please help! the other 2 are always, sometimes, or never!

Answers

Answer:

2.60

Step-by-step explanation:

Answer: Sometimes. All we need to know is if one pair of sides are the same length between the triangles, and that is enough info to know if triangle ABC = triangle DEF. We don't have any such info, so we just say "sometimes" to account for this situation.Answer: 60 degrees. Angle B = angle E, and we're told that B = 60, so E must be 60 as well for the two angles to be congruent.Answer: Always. Equilateral triangles have the same angle measure (60 degrees each). Any two triangles with corresponding congruent angles are similar triangles.

It says to list the new points of W’ X’ Y’ Z, could anyone please help?

Answers

Answer:

x -2,2

Y -4,3

z -4,6

w -2,6

Which of these represents an integer? Select all that apply. (There should be two anwsers) A. -3 B. 4 C. 2 1/2 D. 8/4

Answers

A.-3, B.4; the definition of integer is a who number. Fractions are not whole numbers (the fractions in choice C and D) while fractions are not whole numbers, negative numbers are still numbers.

What is the probability of choosing a number 1 - 10 that is
greater than 5 or even?

Answers

Answer:

70%

Step-by-step explanation:

So, first, our set of choices is 10. This means that there are 10 choices.

We want a number that is greater than 5 or even. Thus, let's mark down all of our choices.

Numbers greater than 5 are:

6, 7, 8, 9, and 10.

Even numbers are:

2, 4, 6, 8, 10.

However, we already counted 6, 8, and 10 previously, so we'll ignore that.

All in all, the following numbers will satisfy our requirements:

2, 4, 6, 7, 8, 9, and 10.

This is 7 out of 10 numbers.

Therefore, our probability is:

[tex]7/10=70\%[/tex]

Which number is irrational?
A.
19
B.
V10
C.
V16
D
25
E.
136

Answers

Answer:

v10

Step-by-step explanation:

Hellp me solve this thanks

Answers

Answer:

c. 10 cm

Step-by-step explanation:

The parallel sides of trapizium are the bases so

base 1(B1) =9cm , base(B2)= 12cm

[tex]area(a) = 105 {cm}^{2} [/tex]

the perpendicular distance means the height so lets find the height

area of trapizium= B1 + B2 × h

2

[tex] {105cm}^{2}(the \: given \: area) = \frac{9cm(the \: given \: base) + 12cm(the \: given \: base)}{2} \times h[/tex]

[tex] {105cm}^{2} = \frac{21cm}{2} \times h[/tex]

now we crisscross

[tex] {105cm}^{2} \times 2 = 21cm \times h [/tex]

[tex] {210cm}^{2} = 21cm \times h[/tex]

[tex] \frac{ {210cm}^{2} }{21cm} = \frac{21cm \: }{21cm} \times h[/tex]

h = 10 cm

hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

Question 5(Multiple Choice Worth 4 points) (08.02)The number in the middle of a data set best describes which of the following? Mean Median Range Mean absolute deviation​

Answers

the number in the middle is the median

Answer: (Median)

Sorry, I'm a bit late but I got 100% on my test!

Hope this helps!

plz help me I need it urgently ​

Answers

Answer:

answer to the question is $600

player
100%
X Pri
A total of 400 students were surveyed at a college to see if they live in on-campus dorms or if they live off-campus. The table shows the results of
the survey
Dorms Off-Campus Total
Freshman 88 12 100
Sophomore 62 38 100
Junior 43
57 100
Senior 25 75 100
Total 218 182 400
What percentage of the students surveyed live off-campus?
O A 18.25
OB. 41.29
OC 45.55
OD 83.55
RESET
Question #24
DELL

Answers

Answer:

[tex]\%Off-Campus = 45.5\%[/tex]

Step-by-step explanation:

Given

----------------------Dorms ---- Off-Campus ---- Total

Freshman -------- 88  ------  ---------12   ------- 100

Sophomore  ------62  ---------------38  --------- 100

Junior --------------43 -----------------  57  ---------- 100

Senior -------------25  -----------------75  ------------ 100

Total ---------------218 -------------182  --------------400

Required

Determine the percentage of off-campus students

From the above table, we have that:

[tex]Off-Campus = 182[/tex]

[tex]Total\ Surveyed = 400[/tex]

The percentage is then calculated as follows;

[tex]\%Off-Campus = \frac{Off-Campus}{Total-Surveyed} * 100\%[/tex]

[tex]\%Off-Campus = \frac{182}{400} * 100\%[/tex]

[tex]\%Off-Campus = 0.455 * 100\%[/tex]

[tex]\%Off-Campus = 45.5\%[/tex]

Hence, option C answers the question

Answer:

oh 45%

Step-by-step explanation:

Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9)

Answers

Step-by-step explanation:

An x-intercept of a function occurs when f(x) = 0.

In f(x) = (x-8)(x+9), f(x) will be 0 if either (x-8) is 0 or (x+9) is 0.

Hence, f(x) = 0 when x = 8 or x = -9.

Answer:

The answer is D. (-9,0) on edge

Step-by-step explanation:

A retailer sold a vacuum cleaner for 40% below its marked price. The sale price was 50% above the cost to the retailer. What is the ration of marked price to cost?

Answers

Answer:

10 : 9

Step-by-step explanation:

Given that a retailer sold a vacuum cleaner for 40% below its marked price.

Let the marked price = P

40% below = (100 - 40)P/100

Sale price = 60P/100

Sale price = 0.6P

The sale price was 50% above the cost to the retailer.

That is, cost price = (100 + 50)0.6P/100

Cost price = (150)0.6P/100

Cost price = 1.5 × 0.6P

Cost price = 0.9P

What is the ratio of marked price to cost?

The ratio will be = P/0.9P

Multiply both the numerator and denominator by 10

Ratio = 10 : 9

Round 7.21 to the nearest whole number.

Answers

Answer:

            7.21 ≈ 7

Step-by-step explanation:

If you are rounding to the whole number you are rounding to ones so you need to look at the tenth digit:

2<5 so 7 stays the same  (rounding down)

7.21 ≈ 7

The nearest whole number for the given number is 7.

What is rounding off?

To change a number into an approximation having fewer significant digits. For example :-

Round off 15.4 to 15, round off 15.51 to 15.5 or to 16, round off 0.499 to 0, and round off 970,000 to 1 million.

Given is a number 7.21,

We know that,  if the digit is less than 5, round down and if the digit is 5 or more than 5, round up.

Since, numbers after the decimal is not greater than 5, therefore, it will not change and will remain 7.

Hence, the required whole number is 7.

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Multiply.
5 /11 x 2/7

Answers

Answer:

So the answer is 10/77 in decimal is 0.12987

Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in the 7th grade class, 30 participate in at least one sport. Does this and its corresponding table show a proportional relationship? Explain why it does or does not show a proportional relationship.

Answers

No because if you reduce it would be
Boys: 1 to 3
Girls: 1 to 4
Because you have to decide 25 and 75 by 25 and 30 and 120 by 30 so you can see the average
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