What is the nature of the roots for y=2x2-5?

Answers

Answer 1

Answer:

x=[tex]\sqrt5/2[/tex] , x = -[tex]\sqrt5/2\\[/tex]

Step-by-step explanation:

2x^2-5=0

add 5 to both sides

2x^2-5+5=0+5

2x^2=5

(2x^2/2) = 5/2

x^2=5/2

x=[tex]\sqrt5/2\\[/tex] , x = -[tex]\sqrt5/2[/tex]

Answer 2

To determine the nature of the roots of the quadratic equation y [tex]= 2x^2 - 5[/tex], we can analyze its discriminant (denoted by Δ).

The discriminant is calculated using the formula Δ [tex]= b^2 - 4ac,[/tex] where a, b, and c represent the coefficients of the quadratic equation in the standard form [tex]ax^2 + bx + c = 0.[/tex] For the given equation, a [tex]= 2,[/tex] b [tex]= 0,[/tex]and c [tex]= -5.[/tex]Plugging these values into the discriminant formula, we have: Δ [tex]= 0^2 - 4(2)(-5) Δ = 0 + 40 Δ = 40[/tex]The discriminant is positive, indicating two distinct real roots.

Since the discriminant is greater than zero, we can conclude that the roots of the equation are real and different. Therefore, the nature of the roots for y[tex]= 2x^2 - 5 i[/tex]s that it has two distinct real roots.

To know more about quadratic equation visit:

https://brainly.com/question/29269455

#SPJ2


Related Questions

Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3

Answers

Answer:

AC = DE

Step-by-step explanation:

Can someone answer the first question ????? PLEASE HURRY ILL GIVE ALL MY POINTS

Answers

Answer:

its F

Step-by-step explanation:

Its f since when you do the reflection on a grid you will get (1,-4)  No problem ;D

Yes they are correct it’s F

a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall

Answers

Answer:

16- this question is already here from other people! :-)

Step-by-step explanation:

The volume of a rectangular prism is the product of its length, width, and height. The length of a rectangle prism is 3 feet more than five times its height. The width is 5 feet less than six times its height. Express the length and width in terms of the height h. The length is The width is (Be sure to Write down the expanded form of the expression for the volume: expand the volume expression) (Express the interval in which the In what range must the height fall? He height must be)

Answers

The length and width in terms of the height h is  5h+3 feet and 6h-5 feet respectively, the volume will be  [tex]30h^3 - 7h^2 -15h[/tex] units and the height must be in the interval of [tex][0,\infty)[/tex].

According to the question,

The height of the rectangular prism is h.

The length of the rectangular prism  is  5h+3 feet

The width of the rectangular prism  is  6h-5 feet

The volume of the rectangular prism can be calculated as:

[tex]Length \times width \times height = Volume[/tex]

Substitute the value of height, length  and width in the formula:

[tex]V = (5h+3) \times (6h-5) \times h[/tex]

V = [tex](30 h^2 -7h-15)h[/tex]

[tex]V = 30h^3 - 7h^2 -15h[/tex]

The height is always positive. So, the interval in which the In what range must the height fall is [tex][0,\infty)[/tex].

The length and width in terms of the height h is  5h+3 feet and 6h-5 feet respectively and the volume will be  [tex]30h^3 - 7h^2 -15h[/tex] units

The height must be in the interval of [tex][0,\infty)[/tex].

Learn more about rectangular prism here:

https://brainly.com/question/29124743

#SPJ12

Simplify: 23x - 11x
Enter the original expression if it cannot be
simplified.

Answers

Answer:

23x-11x= 12x :)

Step-by-step explanation:

Answer: 12x

Step-by-step explanation: 23x-11x= 12x

I need help in MATH!!!!!!!!!!

Answers

I think the answer is 41 bc 17+24=41

Answer:

XZ=41

Step-by-step explanation:

I'm pretty sure all you do is add 17 to 24

THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-

Answers

Answer:

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

Step-by-step explanation:

To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.

22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

= 374

You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!

Then just add like you would if when you distribute.

Remember FOIL (First, Outer, Inner, Last)

when multiplying two binomials(2 terms) or distributing factors with two terms.

For example:

(a + b)(c + d) =

F F

O O

I I

L L

(a × c) + (a × d) + (b × c) + (b × d)

What is 20% of a $30 haircut

Answers

Answer:

6

Step-by-step explanation:

30 X 0.2=6

Answer:

Step-by-step explanation:

Bill: $30.00

Tip: $6.00

Total: $36.00

Please help I've been staring at this thing for 30 minutes it says I have to match the segments with its measure I don't understand what goes where :(

Answers

Answer:

I believe AC=63, BG=28, GC=38, And AE=70. So really just like how it's listed in order. If you need further Help, please let me know!

Step-by-step explanation:

Is -12 divided by -5 a rational number or irrational

Answers

Answer:

Rational

Step-by-step explanation:

Hope this helps!!

Any terminating decimal is a rational number. 2.4=2 4/10 or 24/10 which reduces to 12/5 To integers represented

Which equation represents the line that passes through points B and C on the graph?


On a coordinate plane, point A is at (1, 4), point B is at (negative 4, 2), point C is at (negative 2, negative 2) and point D is at (5, negative 4).
y = negative 2 x minus 6
y = negative 2 x + 10
y = 2 x minus 6
y = 2 x + 10

Answers

Answer:

The answer is A y = -2 x - 6

Step-by-step explanation:

I got this question right on the test I took. Hope this help!

Answer:

a

Step-by-step explanation:

i got it right on edg 2020

2/9x + 3 > 4 5/9
what graph shows the values that satisfy the expression

Answers

Answer:

Step-by-step explanation:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Using the graph, determine the coordinates of the roots of the parabola.

I really don't understand how to do this because I have never been taught this before. Could someone help me out?

Answers

Answer: (-6,0) and (-8,0)

!!!!!!Also it's fixed now so ignore my comment about this being wrong!!!!!!

Step-by-step explanation:

To find roots you're basically looking for the points on the graph where they touch the x axis. Those are your roots. You can also plug 0 and -0 in for x and find the coordinates that way with the equation.

Answer:

Two points.

(-8, 0) and (-6, 0)

Step-by-step explanation:

The roots of a graph are another word for the zeros of a graph. In other words, the roots or zeros of a graph are whenever the graph touches or crosses the x-axis. Another way to think about roots are that the roots of a graph are simply its x-intercepts.

From the graph, we can see that it does this twice: once at [tex]x=-8[/tex] and again at [tex]x=-6[/tex]. At both of these points, the graph crosses the x-axis.

Therefore, we will have two roots in this case: one at (-8, 0) and another one at (-6, 0).

So, our answer is two points, being: (-8, 0) and (-6, 0).

And we're done!

Edit: Grammar

5x + y = -5
I need to graph this pls help

Answers

Hope this helps
Pls mark me brainliest

(4, 10) and (-2,-5) Slope​

Answers

Answer:

The slope is 5/2

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?

sin(–60°)
cos(–60°)
cos(60°)
sin(60°)

Answers

Answer:

A. sin(-60°)

Step-by-step explanation:

test on edge

Answer of given expression is sin(-60°)

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given expression,

sin(20°)cos(80°) – cos(20°)sin(80°)

sin(A-B) = sinA.cosB – cosA.sinB

∴ sin(20°-80°)

So, sin(-60°)

Learn more about Trigonometric functions

https://brainly.com/question/6904750

#SPJ2

What is 6.92 x 10-3 written in standard form?

Answers

The standard form is 0.00692

Which of the following is 7/18 closest to?
-0
-1/2
-1​

Answers

Answer:

I guess -1/2?

Step-by-step explanation:

Answer: 0

0 is closest to 7/18 on a number line. -1 is 1 farther than zero. -1/2 is one half way from the number 7/18. So, the answer to the question is 0.

Hope this helps!

giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?

Answers

Answer:

84.474

Step-by-step explanation:

46.93 x 1.8 = 84.474

Answer:

The giraffe could run 84.474 feet in 1.8 seconds.

Step-by-step explanation:

cross multiply

1x= 84.474

x= 84.474 ft

Which expression is equivalent to -4 -( -9)

Answers

Answer:

-13

Step-by-step explanation:-9 turns to 9 then -4-9=13

Name a linear pair.

Answers

Answer:

(angle AFB, angle BFC)

Answer:

angle afc

Step-by-step explanation:

Match the graph with its equation

Answers

Where’s the graph. Their isn’t one
You’re missing the picture:(

Find the value of f(5) for the function.
f(a) = 5(a + 3) - 9
f(5)=(Simplify your answer.)

Answers

Answer:

f(5)=31

Step-by-step explanation:

f(5)=5(5+3)-9

=5(8)-9

=40-9

=31

Solve

6x + 5 = 3x + 14

Answers

Answer:

x = 3

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

6x + 5 − 3x = 3x + 14 − 3x

3x + 5 = 14

Step 2: Subtract 5 from both sides.

3x + 5 − 5 = 14 − 5

3x = 9

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{9}{3}[/tex]

x = 3

Hope it helps!!

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

6x + 5 = 3x + 14

Simplify the equation, then we have

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 3

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

7y−4(9/4y−6). simplified

Answers

Answer:

−2y+24

Step-by-step explanation:

Let's simplify step-by-step.

7y−4(9/4y−6)

Distribute:

=7y+(−4)(9/4y)+(−4)(−6)

=7y+−9y+24

Combine Like Terms:

=7y+−9y+24

=(7y+−9y)+(24)

=−2y+24

Answer
-2y+24
Pls mark brainliest




Jsjsjsjsjsjsjsjsjsjsjsjsj

is 8/4 equivalent to 10/5?

Answers

These are just some equivalent fractions of 8/4:

2/1 = 4/2 = 6/3 = 8/4

= 10/5 = 12/6 = 14/7 = 16/8

= 18/9 = 20/10 = 22/11 = 24/12

= 26/13 = 28/14 = 30/15 = 32/16

= 34/17 = 36/18 = 38/19 = 40/20

= 42/21 = 44/22 = 46/23 = 48/24

= 50/25 = 52/26 = 54/27 = 56/28

= 58/29 = 60/30 = 62/31 = 64/32

= 66/33 = 68/34 = 70/35 = 72/36

= 74/37 = 76/38 = 78/39 = 80/40

= 82/41 = 84/42 = 86/43 = 88/44

= 90/45 = 92/46 = 94/47 = 96/48

= 98/49 = 100/50 = 102/51 = 104/52

= 106/53 = 108/54 = 110/55 = 112/56

= 114/57 = 116/58 = 118/59 = 120/60

= 122/61 = 124/62 = 126/63 = 128/64

= 130/65 = 132/66 = 134/67 = 136/68

= 138/69 = 140/70 = 142/71 = 144/72

= 146/73 = 148/74 = 150/75 = 152/76

= 154/77 = 156/78 = 158/79 = 160/80

= 162/81 = 164/82 = 166/83 = 168/84

= 170/85 = 172/86 = 174/87 = 176/88

= 178/89 = 180/90 = 182/91 = 184/92

= 186/93 = 188/94 = 190/95 = 192/96

= 194/97 = 196/98 = 198/99 = 200/100

So, yes.

Answer:

yea

Step-by-step explanation:

the both have the same value when totaly simplified, which is 2.

Can someone help me plz

Answers

Answer:

81 is d answer

Step-by-step explanation:

x = 9y

= > 9y + y = 90 substitution

= > y = 9

x =9y = 81 degree

3х2 x 2х3
Please HELP!!!!

Answers

Answer: 36

Step-by-step explanation: to make it easier, it is 6x6.

Answer:

36

Step-by-step explanation:

3х2 x 2х3

6 x 6

36

(0,0) is a solution to y> -3x + 4

Answers

Answer:

(0,0) is a solution.

Step-by-step explanation:

To see if this is true you can put (0,0) into the [tex]y[/tex] and [tex]x[/tex] variables like so: [tex]0>-3(0)+4[/tex]. When you solve this you get [tex]0>4[/tex] so this statement is true

Write an equation of the line passing through point$P(4,-6) that is perpendicular to the line y=-3 . x=

Answers

Answer:

x = 4

Step-by-step explanation:

y = - 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 6) with x- coordinate 4, thus

x = 4 ← equation of perpendicular line

Other Questions
How can temperature and pH affect enzymes? what is heavier 1 pound of bricks or 1 pound of feathers Which statement correctly compares the boiling point of water on amountaintop with the boiling point of water at sea level?A. The boiling point of water is lower on the mountaintop becausethe temperature is lower.B. The boiling point of water is lower on the mountaintop becausethe air pressure is lower.C. The boiling point of water is higher on the mountaintop becausethe air pressure is higher.D. The boiling point of water is higher on the mountaintop becausethe temperature is higher. In which layer of the ocean are you likely to find microscopic plants called phytoplankton? Which of the following lines from Of Plymouth Plantation best show the authors view that American Indians wanted to make peace with European colonists? Find the distance and midpoint for the points (4, 8) and (19, 16). The distance is ___. The midpoint is ( _ , _ ). I'd like a step by step please. Please help me math Please help I would really appreciate it Help, im failing math. i need to get this correct Im so sorry when I asked my question before the picture didnt load so here is what I needed help with. So sorry According to Thoreau, why did he go to live alone in the woods? "narrative," "informative," and "argumentative" are three different -8 is less than w, and 8 is greater then w The largest source of federal revenue are _____taxes.A. exciseB. payrollC. corporate incomeD. personal income what were some of the limitations of the idea of sovereignty? What was the Red Scare? Why was it significant? Solve for x in the figure below5x+187x-14 Josiah went to the local barber to get his hair cut. It cost $18 for a haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip? Do you think that mammoths went extinct because they turned into modern-day elephants over time? Explain your answer. An ion formed from an atom has a 1- charge. The number of electrons present in the ion is 36 and the number of neutrons is 46. Identify the element by typing the name. For example: Hydrogen or Sodium.