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]
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.
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5x + y = -5
I need to graph this pls help
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 :(
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:
Can someone help me plz
Answer:
81 is d answer
Step-by-step explanation:
x = 9y
= > 9y + y = 90 substitution
= > y = 9
x =9y = 81 degree
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
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
Is -12 divided by -5 a rational number or irrational
Answer:
Rational
Step-by-step explanation:
Hope this helps!!
Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
sin(–60°)
cos(–60°)
cos(60°)
sin(60°)
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°)
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2/9x + 3 > 4 5/9
what graph shows the values that satisfy the expression
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.
Which expression is equivalent to -4 -( -9)
Answer:
-13
Step-by-step explanation:-9 turns to 9 then -4-9=13
THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-
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)
(4, 10) and (-2,-5) Slope
Answer:
The slope is 5/2
Write an equation of the line passing through point$P(4,-6) that is perpendicular to the line y=-3 . x=
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
a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
Answer:
16- this question is already here from other people! :-)
Step-by-step explanation:
Match the graph with its equation
giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?
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
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?
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
What is 20% of a $30 haircut
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
Find the value of f(5) for the function.
f(a) = 5(a + 3) - 9
f(5)=(Simplify your answer.)
Answer:
f(5)=31
Step-by-step explanation:
f(5)=5(5+3)-9
=5(8)-9
=40-9
=31
What is 6.92 x 10-3 written in standard form?
Simplify: 23x - 11x
Enter the original expression if it cannot be
simplified.
Answer:
23x-11x= 12x :)
Step-by-step explanation:
Answer: 12x
Step-by-step explanation: 23x-11x= 12x
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)
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].
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I need help in MATH!!!!!!!!!!
Answer:
XZ=41
Step-by-step explanation:
I'm pretty sure all you do is add 17 to 24
3х2 x 2х3
Please HELP!!!!
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
Can someone answer the first question ????? PLEASE HURRY ILL GIVE ALL MY POINTS
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
(0,0) is a solution to y> -3x + 4
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
7y−4(9/4y−6). simplified
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
Name a linear pair.
Answer:
(angle AFB, angle BFC)
Answer:
angle afc
Step-by-step explanation:
Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3
Answer:
AC = DE
Step-by-step explanation:
Which of the following is 7/18 closest to?
-0
-1/2
-1
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!
Solve
6x + 5 = 3x + 14
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.
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is 8/4 equivalent to 10/5?
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.