What is the value of discriminant in the equation shown below? x2+3x-6=0​

Answers

Answer 1

ANSWER

The discriminant is -3

EXPLANATION

The given quadratic equation is:

[tex] {x}^{2} + 3x - 6 = 0[/tex]

Comparing this equation to:

[tex]a {x}^{2} + bx + c = 0[/tex]

we have

a=1, b=3, and c=-6

The discriminant is calculated using the formula,

[tex]D = {b}^{2} - 4ac[/tex]

We substitute the values to get:

[tex]D = {3}^{2} - 4(1)(3)[/tex]

[tex]D = 9 - 12[/tex]

[tex]D = - 3[/tex]

Answer 2

Answer:

Discriminant = 33

Step-by-step explanation:

Solution of a quadratic equation ax² + bx + c = 0

Discriminant  = (b² - 4ac)

It is given that, x² + 3x - 6 = 0

To find the value of discriminant

x² + 3x - 6 = 0

Here a = 1, b = 3 and c = -6

Discriminant  = (b² - 4ac)

 =  (3² - 4 * 1 * (-6))

 = (9 +24) = 33

Therefore discriminant  of given equation is 33


Related Questions

Why might Jules use a Credit Card rather than a check to make a purchase

Answers

He does not have enough money in his checking account

Answer:

B

Step-by-step explanation:

find the value of x that makes triangle LMN congruent to triangle NOL by SSS. A. 1 B. 2.3 C.6 D.7

Answers

Answer:

The correct answer is option C.  6

Step-by-step explanation:

It is given that,  LMN congruent to triangle NOL by SSS

From the figure we can write, MN = LO

To find the value of x

we have, MN = LO

13x + 1 = 5x + 49

13x - 5x = 49 - 1

8x = 48

x = 48/8 = 6

Therefore x = 6

The correct answer is option C.  6

Find the value of x (show work).

Answers

17. 144+x2=484

X2=Earp

16.

tan(angle) = Opposite leg / adjacent leg

tan(36) = 12 / x

x = 12 / tan(36)

x = 16.5166

Round answer as needed.

17.

sin(angle) = Opposite leg / Hypotenuse

sin(x) = 12/22

x = arcsin(12/22)

x = 33.056 degrees.

Round answer as needed.

You do not say how the answers need to be rounded, so please round them as needed.

Given the following graph, would the point (1,2) Be a solution of the inequality? Explain.

Answers

ANSWER

The point (1,2) is not a solution

EXPLANATION

We could see that, the point (1,2) lies exactly on the boundary line.

Since the boundary line is dashed, the points on the boundary line are not solution.

Alternatively:

We deduce the inequality from the graph to be;

[tex]y < 3x - 1[/tex]

If the point (1,2) is a solution,then it must satisfy the inequality.

[tex]2 \: < \: 3(1) - 1[/tex]

[tex]2 \: < \: 2[/tex]

This statement is false.

Hence, the point (1,2) is not a solution.

what is 2.405 in word form and expanded form

Answers

Answer:

Word Form:

two and four hundred five thousandths

_____________________________________

Expanded Form:

2  

+   0.4

+   0.00

+   0.005

Step-by-step explanation:

Answer:

2 and 4 hundredths

its right on god

solve using the substitution method x = 10 y = 2x- 6

Answers

Answer:

y=14

Step-by-step explanation:

y=2(10)-6

y=14

(3a³ - 5b³) + ? a³+ ? b³ =(a³+b³)​

Answers

Answer:

[tex]\boxed{-2; 6}[/tex]

Step-by-step explanation:

Think of this as an ordinary addition problem.

What must you add to 3a³ to get 1a³?   Answer: add -2a³

3 + (-2) = 1

What must you add to -5b³ to get 1b³? Answer: add 6b³

-5  + 6 = 1

Then, the addition looks like this:

[tex]\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}[/tex]

The numbers in the boxes are -2 and 6.

may somebody help me please and thank you.

Answers

Answer:

See below

Step-by-step explanation:

Eleven

Remark

When you join the midpoints of two sides of a triangle, two properties are true.

The Line segment you have drawn is parallel to the third side.The Line segment you have drawn is 1/2 the size of the third side.

For this question, the first property is not as important as the second.

it means that DE is 1/2 the size of GJ

Equation

4x + 5 = 1/2 * (3x + 25)

Solution

Multiply both sides by 2

2(4x + 5) = 2*[1/2*(3x + 25)       Simplify

2(4x + 5) = 3x + 25                   Remove the brackets on the left

8x + 10 = 3x + 25                      Subtract 3x from both sides

8x-3x + 10 = 25                         Subtract 10 from both sides.

5x = 25 - 10

5x = 15

x = 3 Answer

DE = 4*3 + 5

DE = 17 Answer  

Ten

I wasn't quite sure if you wanted this done.

Givens

MP is the perpendicular bisector of NL

That makes the triangle isosceles.

ML = MN

PL = PN                    

Solution

ML = MN

7x + 9 = 11x -7                Subtract 11x from both sides.

7x - 11x + 9 = 11x-11x-7

-4x + 9 = - 7                   Subtract 9 from both sides.

-4x + 9-9 = -7-9             Combine

-4x = - 16                        Divide by - 4

-4x/-4 = - 16/-4

x = 4

==============

PL = PN

2y + 2 = 16                     Subtract 2

2y + 2-2 = 16-2              Combine

2y = 14                           Divide by 2

2y/2 = 14/2                    Combine

y = 7

HELP ASAP FIRST CORRECT ANSWER GETS BRIANLEST.

solve for the angle C. A=110° B=×° C=(×+10)​

Answers

Answer:

a = 110

c = 30+10

b = 30

Step-by-step explanation:

I need help with #5 an explanation might be nice too!! (will give brainliest!) and 50 points.

Answers

Answer:

2600 yd cubed

Step-by-step explanation:

13 times 20 is 260

260 times 10 is 2600

Make a box-and-whisker plot of the data.
Average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59

Answers

Answer:

Step-by-step explanation:

First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.

Second, we'll find the median Q2 - (58+58) / 2 = 58

Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5

Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5

Graph the relation shown in the table. Is the relation a function? Why or why not?

A; No; a vertical line passes through two graphed points.

B; Yes; no horizontal line passes through two graphed points.

C; No; a horizontal line passes through two graphed points.

D; Yes; no vertical line passes through two graphed points.

Answers

Answer: D; Yes; no vertical line passes through two graphed points.

Step-by-step explanation:

A graph is only considered a function if it passes the vertical line test. The vertical line test is basically when you put a vertical line on any point in the graph, it can’t pass through more than one graphed point. It can only touch the line once. That graph is considered a function because no two points touch a vertical line in the same x-value.

Answer:

Option D.

Step-by-step explanation:

A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.

Vertical line test : According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.

From the given table it clear that the ordered pairs of relation are(-5,-5), (-3,-3), (1,1) and (2,2).

For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.

Therefore, the correct option is D.

The total cost of a suit and a coat is
$291. The coat cost twice as much as
the suit. How much did the coat cost?​

Answers

The coat costs $194 while the suit costs $97

To find out how much the coat costs when a suit and a coat together cost $291 and the coat costs twice as much as the suit, we use algebra to deduce that the suit costs $97 and the coat costs $194.

To solve the problem of determining how much the coat costs when the total cost of a coat and a suit is $291, and the coat costs twice as much as the suit, we can set up a system of equations. Let's define s as the cost of the suit and c as the cost of the coat. Following the given information, we have two equations:

s + c = $291 (the total cost of the suit and the coat)c = 2s (the coat costs twice as much as the suit)

Substituting the second equation into the first one gives us:

s + 2s = $291

Combining like terms, we get:

3s = $291

Dividing both sides by 3 to solve for s, we find:

s = $97

Now that we have the cost of the suit, we can use the second equation to find the cost of the coat:

c = 2s = 2 times $97 = $194

Therefore, the coat costs $194.

3m-n=km-8 solve for m

Answers

Answer:

m= -8-n/3-k

Step-by-step explanation:

Amanda wants to examine the eating habits of 100 random students at lunch to determine how many students eat in the cafeteria

Answers

Answer:

well she can count up the average amount of tables, and the average amount of students in the school, later determine how many kids sit at the tables, for example, if there's five tables, and in each table there are five students, round those up and you have 25 students, only Amanda's answer would be much higher depending on the school and cafeteria

Find the slope that is parallel to the equation 2x +3y 15
b) Find the slope that is perpendicular to the equation 2x + 3y 15​

Answers

Answer:

a) -2

b) 1/2

Step-by-step explanation:

2x + y = 15           Subtract 2x from both sides

y = -2x + 15           The slope is -2

Parallel lines have the same slope.

Perpendicular lines have negative inverse slopes.

-2    flips to 1/2

write a recursive rule for the arithmetic sequence 22,15,8,1

Answers

Answer:

a=1

an= an-1 -7

Step-by-step explanation:

A= 1 the answer is A=1

What is the following product? 3√2(5√8-7√3)

Answers

Answer:

3√2(5√8-7√3) = 60 - 21√6

Step-by-step explanation:

We need to find the product of  3√2(5√8-7√3). The distributive property states that: A(B+C) = AB + AC.

Then, by using the distributive propertive we have that:

3√2(5√8-7√3) = 3√2 * 5√8 - 3√2 * 7√3 = 15√8√2 - 21√2√3.

Also, we know that: √A√B = √AB. Using this:

15√8√2 - 21√2√3 = 15√16 - 21√6 = 60 - 21√6.

Answer:

The correct answer is 60 -21√6

Step-by-step explanation:

It is given that,

3√2(5√8 - 7√3)

To find the product

We have

3√2(5√8 - 7√3) = 3√2(5√8) -  3√2(7√3)

= 3*5√(2 * 8) - 3 * 7 √2 * 3

= 15√16 - 21√6

= 15 * 4 - 21√6

= 60 -21√6

Therefore 3√2(5√8 - 7√3) = 60 -21√6

The correct answer is 60 -21√6

Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)

Answers

Answer:

[tex]\large\boxed{y=-2x+14}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).[/tex]

[tex]\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:[/tex]

[tex]6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14[/tex]

Answer:

B) y = -2x + 14

Step-by-step explanation:

Solution: y = -2x + 14. To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other, we know that the slope is -2. Then plug your slope (-2) and point (4,6) into the equation y = mx + b to solve for b. The resulting value for b is 14.

jerone has 2 ps4 and 3 xbox . a ps4 has 200 gigabytes and an xbox has 300. How many gigabytes of ram do each console have together

Answers

Answer:

500?

Step-by-step explaination

Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??

500 gigs.

Just add 200 + 300.

(I hope this question isn’t serious..)

Five times the sum of a number and 3 equals 4?

Answers

Answer:

5 * (n+3) = 4

n = -11/5

Step-by-step explanation:

5 * (n+3) = 4

Distribute

5n +15 =4

Subtract 15 from each side

5n +15-15 = 4-15

5n = -11

Divide by5

5n/5 = -11/5

n = -11/5

please help!! Factor completely 36x2 − 25.

Answers

36x^2-25

use the formula a^2-b^2=(a+b)(a-b)

a=6x b=5

therefore the answer is (6x+5)(6x-5)

Can someone check my answer please and thank you

Answers

im ppretty sure thats correct. Im not a genius though.

Answer:

294 m² is correct

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the height and a, b the parallel bases

here h = 21, a = 21 and b = 7, thus

A = [tex]\frac{1}{2}[/tex] × 21 × 28 = 294 m²

g(x)=4+1 what is g(3)

Answers

Answer:

13

Step-by-step explanation:

Assuming g(x)=4x+1, then g(3) is 4(3)+1=12+1=13. So g(3)=13.

the median and mean of these numbers:

8, 14, 13, 12, 14, 15

20 POINTS ANSWER FASTTT

Answers

Answer:

Mean : ≈ 12.7

Median: ≈ 13.5

Step-by-step explanation:

To find the mean you must add all the numbers and divide by the # of numbers in the set.

8+12+13+14+14+15 = 76

76/6 ≈ 12.7

To find the median you have to order the numbers from least to greatest, the middle number should be the median, but in this case two numbers are in the middle.

8, 12, 13, 14, 14, 15

So you have to add 14 and 13, which is 27.

Then divide by 2 which is ≈ 13.5

find the solutions to the equation by compelting the square x^2-6x=7

Answers

Answer:

The solution set is {-1, 7}

Step-by-step explanation:

Rewrite x^2-6x=7 as x^2 - 6x                            = 7.

Identify the coefficient of the x term; it is -6.

Halve this coeff (obtaining -3)

Square this result (obtaining 9)

Add 9 to  x^2 - 6x   and then subtract 9 from the result:  x^2 - 6x  + 9 - 9

Then we have:

x^2 - 6x  + 9 - 9 = 7.  Add 9 to both sides, obtaining

x^2 - 6x  + 9       = 16

Rewrite x^2 - 6x  + 9 as the square of a binomial:  (x - 3)^2

Then we have

(x - 3)^2 = 16

Taking the square root of both sides, we get

x - 3 = ±4, so that:  x = 3 + 4 = 7, and x = 3 - 4 = -1.

The solution set is {-1, 7}.

Answer:

To complete the square x^2-6x=7

We take the coefficient of X which is -6

     divide it by 2  -3

     square that number 9

     then add it to both sides of the equation.

x^2 -6x + 9 = 16

(x -3) * (x -3) = 16

We take the square root of both sides:

a) x-3 = 4

b) x-3 = -4

Therefore, x = 7 and x = -1

Step-by-step explanation:

Emilio's savings account had a balance of $621.96 at the end of July. During August, he made three savings account deposits of $83.11, $52.89, and $307.84 and one withdrawal of $129.00. At the end of August his account earned $11.50 in interest. Will Emilio meet his savings account goal of $1,000 by September 1st?

A
Yes, and he will have $51.70 more than expected.

B
No, and he would still need $51.70.

C
Yes, and he will have $77.30 more than expected.

D
No, and he would still need $77.30.

Answers

Answer:

B. He would still need 51.50

Step-by-step explanation:

First I added up all the deposits Emilio made

so: 621.96+83.11+52.89+307.84=1065.8

then i subtract 129 from the total (1065.8)

which equals 936.8 and I add the 11.5 interest.

which equals 948.3 which is 51.70 less than 1000. Therefore, Emilio still need 51.70 in order to meet his saving accounts goal.

Answer Please!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8/15 square inches

Step-by-step explanation:

Just multiply the 2 fractions to get the area.

A=L*W

A=area

L=length

W=width

What statement about triangles is not true?

Answers

Well you haven’t gave me any examples so I will just list some:

All sides add up to 360 degrees They have 4 sidesThere is only one type of triangle And there many more

WILL GIVE BRAINLYEST Use the given information to write an equation of the circle.
center at ​(-7​,-3​), radius 2

Answers

Answer:

(x + 7)² + (y + 3)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 7, - 3) and r = 2, so

(x - (- 7))² + (y - (- 3))² = 2², that is

(x + 7)² + (y + 3)² = 4

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