Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
- 2x^2+ 9x-1=0

Answers

Answer 1

Answer:

value of discriminant=73


Related Questions

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Answers

Answer:

The average of each day is 6 fishes

Step-by-step explanation:

Given

See attachment for dot plot

Required

Determine the true statement

For day 1, we have:

[tex]Fis hes = 3 + 6 + 6 + 6 + 6 + 3[/tex]

[tex]Fis hes = 30[/tex]

[tex]Participants = 6[/tex]

The mean is:

[tex]Mean = \frac{Fish es}{Participants}[/tex]

[tex]Mean = \frac{30}{6}[/tex]

[tex]Mean = 5[/tex]

For day 2, we have:

[tex]Fis hes = 3 + 3 + 4 + 6 + 7 + 7[/tex]

[tex]Fis hes = 30[/tex]

[tex]Participants = 6[/tex]

The mean is:

[tex]Mean = \frac{Fish es}{Participants}[/tex]

[tex]Mean = \frac{30}{6}[/tex]

[tex]Mean = 5[/tex]

Solve: 8 (5 + 3)
1. What number are you distributing?
2. Show your work
3. Answer is?

Answers

Answer:

64

you are distrbuting  both the 8 which =64

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

8(5+3)

You distribute what's in the Parentheses

8 x 5 = 40 and 8 x 3 = 24

40+24 = 64

Yuki just bought a big-
screen TV set. The
screen has a diagonal
measure of 40 in. If the
screen is 32 in. wide,
how high is it?

Answers

Answer:

24 I think..

Step-by-step explanation:

a^2 + b^2 = c^2

32^2 + b^2 = 40^2

b^2 = 1600 - 1024

b^2 = 576

b = 24

There are 3 black shoes and 9 red shoes. The ratio is 3:9. What fraction of shoes are black? *

Answers

Answer: 3/12

is the fraction

Answer:

1/4

Step-by-step explanation:

9+3=12, 3/12=1/4

I hope this helps

If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form

Answers

Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]

Step-by-step explanation:

Given

[tex]\cos a=\dfrac{5}{9}[/tex]

[tex]a[/tex] lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value

[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]

[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]

I need the Answer Immediately!!!!!!!!

Answers

Answer:

Slope = 3

Y-intercept = 3

Equation = 3x + 3

Step-by-step explanation:

Slope = Change in y / Change in x

Change in y = +3

Change in x = +1

Slope = 3/1

Slope = 3

Y-intercept = y-value where x = 0

Y-intercept: x = 0; y = 6-3

Y-intercept = 3

Equation: y = mx + b

m = slope

b = y-intercept

Equation: y = 3x + 3

Hope this helps!

square root of 225/16 AS A FRACTION!!!

Answers

- 15/4 is what i got but i’m not too totally sure

The solution is, square root of 225/16  is 15/4.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

225/16

=15^2/4^2

so, square root of 225/16

=√15^2/4^2

=15/4

Hence, The solution is, square root of 225/16  is 15/4.

To learn more on square root click:

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This is an easy question

Answers

Answer:

tara has 29 red pens shawn had 3 red pens before.

Step-by-step explanation:

Answer:

Hello! answer for the first question: 29

answer for the second question: 3

Hope that helps!

8 + r = 11 r = 3

If you are willing to help an idi0t, the click here! if not, well, then, don't click! ;)

Answers

Answer:

1 no False

2 no True

3 no True

4 no False

Step-by-step explanation:

The table below shows the number of marbles of different colors in a bag:

Marble Experiment

Color of
Marbles Number of
Marbles
Red
1
White
5
Black
10


Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing black marbles in both the trials?
10 over 16 added to 9 over 16
10 over 16 added to 9 over 15
10 over 16 multiplied by 9 over 16
10 over 16 multiplied by 9 over 15

Answers

Step-by-step explanation:

10 over 16 multiplied by 9 over 16

I need help asap. 20 points

Answers

Answer:

option d

Step-by-step explanation:

-5x + 4 - 7 + 8x =

-1(3x - 3)

-3x+3=

Answer:

3−3

brainly wont let me do less than 20 characters

I need Help with this question.
Please show workings.

Question:
[tex]{3}^{x} + {4}^{x} = {5}^{x} [/tex]



P.S : The answer is 2.
I just need the working.​​

Answers

Answer:

[tex] x =2[/tex]

Step-by-step explanation:

Given :-

[tex]{3}^{x} + {4}^{x} = {5}^{x} [/tex]

And we need to find out the value of x. Well there is no specific method to solve the equation .This can be only done using the " Trial and error" Method.

We know that , 3 , 4 and 5 are Pythagorean triplets . So the sum of squares of two smallest numbers is equal to the square of the largest number . Henceforth ,

[tex]\implies {3}^{2} + {4}^{2} = {5}^{2} [/tex]

Verification :-

[tex]\implies {3}^{2} + 4^2 = 9+16=25=\boxed{5^2}[/tex]

So , the value of x is 2 . We can here prove that , x does not have other roots other than 2 . For that , divide the both sides of equation by [tex]5^x[/tex] , we have ,

[tex]\implies \dfrac{{3}^{x} + {4}^{x}}{5^x} = \dfrac{{5}^{x}}{5^x} [/tex]

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+ \bigg( \dfrac{4}{5}\bigg)^x = 1 [/tex]

Now if we take the value of x greater than 2 or less than 2 , then the value 1 will not be satisfied for the values of x greater than or less than 2 .

That is ,

If x > 2

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 [/tex]

Subsequently :-

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > 1 [/tex]

If x < 2

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x < \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 [/tex]

Subsequently :-

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x <1[/tex]

Thus there is no other value other than 2 for which the value of above expression becomes 1 .

Hence 2 is the root of the given equation.

Solve the equation for x

Answers

Step-by-step explanation:

x/3 + 2 = - 6

both sides times 3

=>

x+6= -18

x= -18-6

x= -24 (c)

Answer:C see photo for step by step solution

Solve the equation for x:

Answers

Step-by-step explanation:

5= 0.3 x

=> both sides times 10

50 = 3x

x = 50/3

x = 16.67 (C)

Answer:

C

Step-by-step explanation:

5÷ 0.3= 16.666 ⇒ 16.67

Latifah drew this obtuse, scalene triangle.

A triangle has side lengths 8 and 10. The angle between the 2 sides has a measure of 116 degrees.
She will draw a congruent triangle and use it to form a 4-sided polygon. What type of quadrilateral could it be?
a quadrilateral that is a parallelogram
a rectangle that is not a rhombus
a rhombus
a square

Answers

Answer:

i'd say its a rhombus (C)

Step-by-step explanation:

i have this question on my exam on edg. and that is the answer i came up with after reviewing the image that was provided on the exam.

other people say that its a quadrillateral that is a parallelogram but i drew out the shape and the lines were intersecting. so its probably not A. :)

Jesus is King!!

sketch 0=7pi/6 in standard position

Answers

Answer:

i need to get the full question, then i can help u. goodluck :)

Step-by-step explanation:

Which scenario will produce light?

a) an electron moving into the nucleus

b) an electron is removed from the atom

c) an electron moving to a ground state

d) an electron moving to an excited state

Answers

Answer:

an electron moving into the nucleus

When an electron moved to an excited state, it will produce light. So, the correct option is (D).

What is Light?

Light are commonly referred as Electromagnetic Radiation which can be detected by the human eye. This spectrum is extremely broad which ranges from low energy radio waves with wavelengths that are to high energy gamma rays with wavelengths which are less than 1x [tex]10^-^1^1[/tex].

The largest electromagnetic waves having wavelengths from a few centimeters to over 100 meters called as radio waves while the smallest electromagnetic waves having wavelengths which is the size of an atomic nucleus are called gamma rays. In between these waves, microwaves, infrared light, visible light, ultraviolet light and X-rays. It refers to visible radiant energy.

Light is emitted when an electron jumps from a higher orbit to a lower orbit and absorbed when it jumps from a lower to higher orbit which causes to produce light.

Thus, when an electron moved to an excited state, it will produce light. So, the correct option is (D).

Learn more about Light, here:

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Fill in the missing number. 7 + __ = 88

Answers

Answer:

[81 is the missing number.]

Step-by-step explanation:

7+x=88

Let us substitute the mixing number as x.

To find a variable we must ISOLATE it.

To isolate in this situation, we must remove the 7.

We must subtract 7 from both sides, to isolate x. like this-

7-7+x=88-7

This results in,

x=81

So this missing number or (x) is equal to 81

Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.

Answers

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

What is 70×100000? will give 30 points.​

Answers

7000000 I’m sure of it

Answer:

70000000

Step-by-step explanation:

Write the ratio 18 inches:1 yard in its
simplest form. ​

Answers

Answer:

1/2

Step-by-step explanation:

18 inches is 1 1/2 ft

so 1/2 since it is half a yard

Use the numbers to complete the ordered pairs that represent the endpoints of line segment YZ

Answers

Answer:

what numbers ?

Step-by-step explanation:

Find the value for x​

Answers

Answer:

Value of x --> 15°

Step-by-step explanation:

(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.

---> (2x + 60°) + 6x = 180°

     2x + 60° + 6x = 180°

     8x + 60° = 180°

     8x = 180°- 60°

     8x = 120

      x = [tex]\frac{120}{8}[/tex]

x equals 15°

What is the measure of Zc? b C a 124° O 45° O 56° O 60° O 66°​

Answers

Answer:

56

Step-by-step explanation:

124 and c share a line, meaning their sum is 180. To find c, subtract 124 from 180

Please help solve this math problem

Answers

I believe the answer is 115 but I haven’t done this in a long time.

Find value of x and y

The answers include 45, 75, 50, 135 and 90

Answers

the answer is 45.
explanation: 40+3+2=45.
hope this helps!

Please help me asap

Answers

Answer:

2) 25%

Step-by-step explanation:

Answer:

The answer is (2)

Step-by-step explanation:


Line m is represented by the equation y + 2 = 3/2(x + 4). Select all equations that
represent lines perpendicular to line m.
A. y = -3/2x +4
B. y = -2/3x +4
C. y = 2/3x +4
D. y = 3/2x +4
E.y+1=-4/6(x+5)
F.y+ 1 = 3/2(x + 5)

Answers

E. Y plus 1= 4/6(x+5)

The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

What is the Slope of Perpendicular Lines?

Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Learn more about equations of perpendicular lines on:

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100 point!What is the total surface area of the square pyramid?

A square pyramid. The square base has side lengths of 8 inches. The triangular sides have a height of 5 inches.

__________ square inches
20

40

104

144

Answers

the answer is 144 square inches

It would be 144 square inches

Josefina lives near a duck pond. She wants to know how many ducks use the pond. She places leg bands on 12 ducks one day. A week later, she examines 20 ducks and finds that 3 of them have leg bands. About how many ducks use the pond? 80 29 160 50

Answers

Answer:

80

Step-by-step explanation:

This is calculated as:

(Number of ducks with bands × Number of examined ducks)/ Number of ducks found with leg band

= Number of ducks with bands = 12 ducks

Number of examined ducks = 20 ducks

Number of ducks found with leg band = 3 ducks

Hence:

12 × 20/3

= 240/3

= 80 ducks

Therefore, 80 ducks used the ponds

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