What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

The discriminant is −55, so the equation has 2 real solutions.
The discriminant is −55, so the equation has no real solutions.
The discriminant is 73, so the equation has 2 real solutions.
The discriminant is 73, so the equation has no real solutions.

Answers

Answer 1

The value of the discriminant b² - 4ac is 73.

The number of real solutions the equation has is two.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

-2x² - 3x + 8 = 0

This is in the form of ax² + bx + c = 0

a = -2, b = -3, and c = 8

Now,

b² - 4ac

= (-3)² - 4 x (-2) x 8

= 9 + 64

= 73

This is a positive value.

This means,

The equation has two real solutions.

Thus,

The equation has two real solutions.

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Related Questions

Help I have a math assignment due by 11:59 pm and I’m stuck!

Answers

Answer:

answer C: 140 cm

Step-by-step explanation:

If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm

By find how high the water would be after 20 seconds, you would find out much height is increasing each second.

21 - 4 = 7

28 - 21 = 7

35 - 35 = 7, and so forth.

So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.

2 --> 14

3 --> 21

4 --> 28

5 --> 35

6 --> 42

7 --> 49

8 --> 56

9 --> 63

10 --> 70

11 --> 77

12 --> 84

13 --> 91

14 --> 98

15 --> 105

16 --> 112

17 --> 119

18 --> 126

19 --> 133

20 --> 140

Thus, after 20 seconds, the water's height would be c) 140 cm.

tim played 20 games of draughts he won 16 of those games.what fraction of the game did he win
b) he played 30more games he had then 68% of all his games how amny of 30 games did he win

Answers

Answers to both subparts are shown:

(A) The fraction of games Tim wins is 4/5.(B) Tim wind has 20 games when he plays 30 games.

What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

So, (A) fraction of the game Tim wins:

The number of games played is 20.The game won is 16.

Then, the fraction will be:

16/204/5

(B) Games Tim wins in 30 games.

The total number of games played is 30.The winning percentage is 68%.

So, a number of games won:

30/100 × 680.30 × 6820.4Rounding off: 20

Therefore, answers to both subparts are shown:

(A) The fraction of games Tim wins is 4/5.(B) Tim wind has 20 games when he plays 30 games.

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The correct question is shown below:

(A) tim played 20 games of draughts he won 16 of those games.what fraction of the game did he win

b) he played 30 more games he had then 68% of all his games how amny of 30 games did he wi

How many degrees are on
the interior of a Polygon that
has 18 sides?

Answers

Answer:

ask yourself

Step-by-step explanation:

Answer:

160.00° Degrees

Step-by-step explanation:

To find the answer, we have to use the interior angle formula which is

(n-2)*180, where n is the number of sides. This formula gives us the sum of all interior angles in a polygon having ‘n’ sides.

For a polygon with 18 equal sides, first finding the sum of all interior angles of the polygon:-

=(n-2)*180= (18–2)*180=16*180=2880 degree.

We found the sum of all interior angles of 18 sided polygon and it is 2880 degrees.

The polygon we are considering has all sides equal, which means it is a regular polygon. So we can conclude that all of its interior angles are equal.

Sum of all eighteen angles=2880, One angle=2880/18=160 degrees.

Thus, we concluded that the interior angle of the regular eighteen sided polygon

is 160 degrees

Can someone please check my answer for this function???

Answers

Answer:

You're wrong, it's the bottom left

Step-by-step explanation:

x^2-49 is a difference of squares so it factors into (x+7)(x-7) which obviously cancels out with the denominator leaving x-7 left. This is the line you should graph, but keep in that x+7 is still in the denominator so x cannot be equal to -7 which means that this point should be be on the line which leaves the answer to be the one on the bottom left.

can anyone solve this​

Answers

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

= [tex]\frac{2}{cosA}[/tex]

= 2secA = right side, thus verified

Jonas and Marisol were the only candidates for sixth grade class president. Jonas received 60 votes and Marisol received 90 votes.



Of the 90 votes cast for Marisol, 40% were girls. How many girls voted for Marisol?

Answers

Answer:

36 girls voted for Marisol

Step-by-step explanation:

1. Find the slope
>
X
18
8
10
24
0 -5
y
10
1 7
Rise =
Run =
m =

Answers

Answer:

I think the slope is y, but look for an expert opinion

Step-by-step explanation:

While going on a date to the movies, you offer to buy the snacks. You plan to buy two packs of candy (one for each of you) and a large popcorn to share. If you have 15 dollars and a large popcorn costs 7 dollars, what’s the most you can spend on a pack of candy?

$3.50

$4.00

$6.50

$8.00

Answers

$4.00 because

$15 - $7 = $8 than divide it by 2 which gives the $4 dollars for each 2 people

Answer:

the last one

Step-by-step explanation:

Can someone help me with this problem? 3[x(-6)]

Answers

Answer:

-18x

Step-by-step explanation:

First step: remove the parentheses.

So, you'll have -3x*6.

multiply the numbers (3 x 6 = 18)

and you'll get -18x.

hope this helps!

WILL MARK BRAINLEST, 15 POINTS
HURRY FAST

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train travels at 90 miles per hour. How long will it take for the two trains to be 204 miles apart?
Do not do any rounding.

Answers

Answer:

one hour and 12 minutes

Answer:

1  hour and 12 minutes

Step-by-step explanation:

Let's say x = time it takes for the trains to be 204 miles apart.

Speed = Distance/Time,

Time = Distance/Speed,

x = 204/ (80 + 90) = 204/170 = 1 and 1/5 hours or 1  hour and 12 minutes

Graph a line with a slope of 1 and a y-intercept of 4.​

Answers

Answer:

Step-by-step explanation:

Plot the y-intercept (0, 4).  Starting at (0, 4), move your pencil point 1 space to the right, to (1, 4), and from (1, 4) up 1 space to (1, 5).  Draw a straight line through (0, 4) passing through (1, 5) also.

PLEASE HELP! worth 50 points!! Please only put the right answer in I really need help trying to get my grade up..

Answers

Answer:

1) x = 41.8 deg

2) x = 64.2 deg

3) x = 51.3 deg

Step-by-step explanation:

Problem 1

For angle x, 4 is the opposite leg and 6 is the hypotenuse.

sin x = 4/6

x = sin^-1 2/3

x = 41.8 deg

Problem 2

For angle x, 14 is the adjacent leg, and 29 is the opposite leg.

tan x = 29/14

x = tan^-1 29/14

x = 64.2 deg

Problem 3

For angle xm 25 is the adjacent leg, and 40 is the hypotenuse.

cos x = 25/40

x = cos^-1 5/8

x = 51.3 deg

2 1/7+1 2/5 Give your answer as a mixed number where appropriate.

Answers

Answer:

3 19/35

Step-by-step explanation:

Find the least common denominator of the two.

The LCD is 35.

Now convert the fractions to a denominator of 35.

This will be it>>>

2 5/35 + 1 14/35.

Now the answer to that will be: 3 19/35

how do you factor: 2x + -15

Answers

Answer:

It is not factorable.

Step-by-step explanation:

It is not factorable with rational numbers.

Answer:

This expression is not factorable with rational numbers.

Step-by-step explanation:

2x+(-15)=2x-15

PLEASE HELPPPPP PLEASREER

Answers

Answer:

its a :)

Step-by-step explanation:

hmu if you need an explanation or more help :)

Please helpppp 15 points!!!​

Answers

Answer:

105 students and 150 guests

Step-by-step explanation:

equation to find the answer are

1x + 5y = 855

x + y = 255

with

x + y = 255

x = 255 - y

now we replace x with (255 - y) into 1x + 5y = 855 to find y

1(255 - y) + 5y = 855

255 - y + 5y = 855

255 + 4y = 855

4y = 855 - 255

4y = 600

y = 150 (number of guests)

now we got y = 150, let's find x

x + y = 255

x + 150 = 255

x = 255 - 150

x = 105 (number of students)

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

What is the answer to 3/8 + 2/4

Answers

Answer:

1 1/2

Step-by-step explanation:

1.) First find the common denominator of the 2 fractions (8)    4: 4

    8: 4, 8

2.) then you write a new expression with the numerator left blank and the denominator as 8 shown below in the step by step explanation.  /8 + /8

3.)3/8 + 2/4 multiply by 1 both numerator and denominator for the first fraction. And multiply by 2 both numerator and denominator for the second fraction. 3/8 + 4/8.

4.) Then you add those 2 fractions which I assume you already know how by adding the numerators together, and get 12/8.

5.) You simplify 12/8 and get 1 4/8. 4/8 is equal to 1/2 so its 1 1/2.

Find the missing length.
8
3
с
C =
= ✓ [?]
Pythagorean Theorem: a2 + b2 = 2

Answers

Answer:

✓73 or approximately 8.54

Step-by-step explanation:

✓ 8²+3² = ✓ 73 or approximately 8.54

Find a slope for each line (each block is one unit):

Answers

Where’s the graph? Just wondering so I can help you out

please help me and thank you​

Answers

The answer is 6^7
Hope this helps

In solving quadratic equation, if the constant term is missing what is the best method to
use?

Answers

Step-by-step explanation:

If you are looking for its roots, try completing the square method, and factoring out the common terms. These two is what I usually use.

On a coordinate plane, a point is at (1, 2) and (5, 2). Find the distance between (1, 2) and (5, 2). The points lie in the same quadrant . The distance is .

Answers

Answer:

The points lie in

✔ the same quadrant

The distance is

✔ 4 units

Step-by-step explanation:

the same quadrant

4 units

The  distance between the two points (1, 2) and (5, 2) is 4 units. And both the points (1, 2) and (5, 2) lie in the same quadrant.

What is Distance between the two points?

Distance between two points is the length of the line segment that connects two given points.

Formula for the distance between two points

[tex]d = \sqrt{(x_{2}-x_{1} ^{2}) +(y_{2}-y_{1} ) ^{2} }[/tex]

According to the given question

We have

Two points

(1, 2) and (5, 2)

Let,

[tex](x_{1},y_{1}) = (1, 2)[/tex]

And, [tex](x_{2},y_{2} ) = (5,2)[/tex]

Therefore,

The distance between the points (1,2) and (5, 2)

= [tex]\sqrt{(5-1)^{2} +(2-2)^{2} }[/tex]

[tex]=\sqrt{(4)^{2}+0 }[/tex]

[tex]=4[/tex] unit.

Hence, the  distance between the two points (1, 2) and (5, 2) is 4 units.

Since, the x coordinate and y coordinate of both the points (1,2) and (5, 2) are positive. Therefore, they both lie in the first quadrant. Hence, the points lie in the same quadrant.

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Figure ABCD is a trapezoid. Find
the value of x.
B.
2x + 1
.C
17
3x + 8
.D
A
x = [?]

Answers

Answer for x is 5

Step by step explanation:

Can someone help me with these two questions plss

Answers

Answer:

c. 6

d. 3

Step-by-step explanation:

:-)

Expand 3(y + 4).
3(y+4)=

Answers

Answer:

expanded it is x= 3(y+4)

Answer:

3*y + 3*4 = 3*m + 12

Step-by-step explanation:

Help me plz ??? Help

Answers

Answer:

16

Step-by-step explanation:

в треугольнике abc точки d и m принадежат сторонам ab и bc dm и ac параллельны докажи что треугольник bdm подобен треугольнику abc​

Answers

Answer:

this is in Russian please ask in English

Step-by-step explanation:

I know what is the question but you should ask in English after translating ok

A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the cupcakes sold that day were chocolate?

Answers

Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Find x
I need help plz :(
A. 6
B. 24
C. 12
D. 12 sqr root of 3
E. 36

Answers

Answer:

b

Step-by-step explanation:

Answer:

To determine the value of X, what you would need to do is to use a trigonometric ratio, that would make use of the value of x and the side length of 12. This can either be, sin 30 or cos 60. Both of them will enable you to solve for x.

The final value for x would be either

X = 12/Sin 30

X = 12/Cos 60

Compute these in your calculator and you will find the final value in these cases.

find the area of the figure

Answers

Try 25 if i wrong correct me please
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