Use the quadratic formula to solve the equation
X^2+9X+20=0

Answers

Answer 1

Answer:

x=-4

x=-5

Step-by-step explanation:

Answer 2

Answer:

-4 or -5

Step-by-step explanation:

Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.


Related Questions

Please help i will give the brainliest

Answers

Answer:TwT
















Explanation:

What is the value of x?

A right angle. A line comes out of the angle to split the angle into x degrees and 48 degrees.
42
48
90
132

Answers

Answer:

42

Step-by-step explanation:

According to the description given, the angles are complementary angles.

Their measurements will add up to 90°.

[tex]90 - 48 = 42[/tex]

X should be equal to 42.

Brainilest Appreciated.

The value of x in a line that splits a right angle into two is 42

What is a right angle?

A right angle is an angle formed by a perpendicular line on a straight line. The angle in a right angle is equal to 90 degrees.

From the given information, if a line comes out of the right-angled point and splits it into two halves;

where:

1st angle = x degrees2nd angle = 48 degrees

The value of the x is:

(x + 48)° = 90°   (sum of angles in a right angle triangle)

x = 90° - 48°

x = 42°

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If f(x) = ||x|| , find f (-1/4)

Answers

anything that is absolute value is just that same number

therefore the answer is 1/4

hope this helps

a circle is centered at (-4,9)and has a radius of 11. what is the equation of the circle. use x and y​

Answers

Answer:

(x + 4)^2 + (y-9)^2 = 121

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k) ^2 = r^2  where (h,k) is the center and r is the radius

(x - -4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 121

A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the box around the sphere in terms of Pi

Answers

Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3,  V= 3^3 , V=27

2.  Volume of a sphere: V=4/3 pi r^3 ......

The expression which represents the volume of the foam padding needed to fill the space in the box around the sphere in terms of π is option C. (27 - [tex]\frac{4}{3}[/tex] π) r³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

We have a sphere of radius r inside a cube of side length 3r.

Volume of a cube = (a)³, where a is the side length.

Here a = 3r

Volume of the cube = (3r)³ = 27r³

Volume of a sphere of radius r = [tex]\frac{4}{3}[/tex] π r³

Volume of the foam padding needed to fill the space in the box around the sphere = 27r³ - [tex]\frac{4}{3}[/tex] π r³

                  = r³ (27 -  [tex]\frac{4}{3}[/tex] π)

Hence the volume of the space inside the cube outside the sphere is r³ (27 -  [tex]\frac{4}{3}[/tex] π).

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|n|=5 what is the value for n.

A -5or5
B 0 and 5
C -5 only
D 5 only

Answers

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

When 50 pounds of a compound are produced, the manufacturing cost is described by x
and the selling price is described by x^2 + 8x - 20.
What is ratio of the cost to the selling price when x = 50?

Answers

Answer:

56

Step-by-step explanation:

i don't know

The graph of the function f(x) is shown
Which graph represents the function 4(2x)?

Answers

Answer:

[tex]8x[/tex]

Step-by-step explanation:

[tex]4 \: time \: 2x = 8x[/tex]

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.

Answers

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

What is rectangle?

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

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A point with a positive X coordinate and a negative Y coordinate is reflected over the Y axis which sentence describes the coordinates the new point

Answers

Answer:

negative X coordinate and a negative Y coordinate.

Step-by-step explanation:

positive X coordinate and a negative Y coordinate is reflected over the Y axis.

Anything reflected over the Y axis doesn't usually change the y coordinate. So it's negative X coordinate and a negative Y coordinate.

Tickets to a concert cost $24 before a 5% fee is added.How much are the tickets with the fee?

Answers

Answer:

$25.20

Step-by-step explanation:

10%= 2.4 because you divide 24 by 10

So 5%= half 2.4= 1.2

24+1.2=25.20

Answer:

$25.20

Step-by-step explanation:

$0.05 x $24 = $1.20

$24 + $1.20 = $25.20

A function ___ is an expression that defines a function.

a. Value
b. Rule
c. Statement
d. Relation​

Answers

Answer:

Option B - Rule) is your answer

A pair of jeans is on sale for 25% off the original price of $75. What is the
new price?​

Answers

Answer:

$56.25 is the new price

Step-by-step explanation:

75 - 18.75 = 56.25 dollars

Answer:

56.25

Step-by-step explanation:

75*.25=18.75

75-18.75=56.25

what is half of 220?​

Answers

Answer:110

Step-by-step explanation: just divide by 2 to find out half.

110 is half of 220.

Here, we have,

To find half of a number, you divide it by 2.

In this case, to find half of 220, you divide 220 by 2:

220 ÷ 2 = 110

Therefore, half of 220 is 110.

When we divide 220 by 2,

we are splitting it into two equal parts, with each part being 110.

so, we get,

110 is half of 220.

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Help please:( idk this

Answers

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Factor the polynomial.

125x^3+27

Answers

Answer: (5x+3) (25x^2-15x+9)

(5x + 3) (25x^2-15x + 9)

The function g(n) = n2 − 16n + 69 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for g(n). (2 points)

Answers

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8

Please help me with this question I will mark you as a best answer if correct

Answers

-3/6 , but after simplifying, you’re left with

-1/2 !

Answer:

-2

Step-by-step explanation:

it's a negative slope (going down) and its 2/1 which makes it just -2

WILL MARK THE BRAINLEIST Find the surface of the rectangle prism ,show all of your work

Answers

The answer is 108 as your surface area.

Work:
To find surface area, you find the area of each side and add it all together. For the bottom and the top sides, it’s 6 x 3 which equals to 18. 18 + 18 = 36. Then, 3 x 4 = 12. 12 + 12 = 24. 6 x 4 = 24. 24 + 24 = 48. Then, you add it all together which equals to 108. If what I did doesn’t makes sense, I’ll explain it more detailed here.

So, I found the area of the bottom side and multiplied it by 2 to represent the top and bottom sides. Then, I did the same thing for the other sides if that makes sense. I’m really sorry if I’m not explaining it well. I’m better at doing the work in my head and not on paper or explaining it to other people.

Anyway, hope this helps!

What is the range of 82, 135, 53, 44, 79, 36, 20, 56?

99
105
115

Answers

115 take the lowest number and the highest number and subtract so 135-20

Answer:

The range is 115

Step-by-step explanation: To find the range of a data set you subtract the lowest value from the highest value. In this case that would be 135 minus 20 which gives you a range of 115.

please help, I dont know how to do this​

Answers

Answer:

[tex]\frac{y-2}{4}[/tex]

Step-by-step explanation:

Let's start by factoring everything:

[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]

[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, you can cancel out some terms:

[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]

[tex]\frac{y-2}{4}[/tex]

Hope this helps!

If f(x) = -8x - 4 and g(x)
which statement is true?
7x + 3,
Click on the correct answer.
9 is not in the domain of fºg.
9 is in the domain of fºg.

Answers

Answer:

9 is in the domain of f(g(x))

Step-by-step explanation:

f(g(x)) = -8*g(x) - 4

          = -8*( 7x+3) - 4

          = -56x - 24 - 4

          = -56x - 28

          = -28(2x + 1)

f(g(9)) = -28(2*9 + 1)

          = -28*19

          = -532

Since 9 can be plugged into the compound function, it is in the domain.

The function A(x) = x2 + 5x – 14 represents the area of the plaza shown below.

If the maximum length of the plaza can be 110 meters, how does the reasonable range compare to that of the mathematical one?
The reasonable range is y ≥ 0, while the mathematical range is y ≥ –20.25.
The reasonable range is 0 ≤ y ≤ 11,110, while the mathematical range is y ≥ –20.25.
The reasonable range is –7 ≤ y ≤ 2, while the mathematical range is y ≥ –14.
The reasonable range is y ≥ 0, while the mathematical range is y ≥ –14.

Answers

Answer:

The reasonable range is 0 ≤ y ≤ 11,110, while the mathematical range is y ≥ –20.25.

Step-by-step explanation:

Answer:

B) The reasonable range is 0 < y < 11, 110, while the mathematical range is y > -20.25

Step-by-step explanation:

the box plot shows the number of sit ups done by students in a gym class . what is the range of the data

Answers

Answer:

15

Step-by-step explanation:

Find the largest number in the range and the smallest. in this case its 15 and 30. then subtract 15 from 30, basically subtract the least number from the greatest

30-15= 15!

Hope it helps

Answer:

15

Step-by-step explanation:

Find the volume of the prism.​

Answers

I believe the volume is 120 meters cubed because 7.5x4x8=240 and 240/2=120

Answer:

120000000

Step-by-step explanation:

Depending on the particular body, there is a different formula and different required information you need to calculate its volume. Below are volume formulas for the most common types of geometric bodies - all of which are supported by our online volume calculator above. All measures need to be in the same unit. The result is always in cubic units: cubic centimeters, cubic inches, cubic meters, cubic feet, cubic yards, etc.

Volume calculations are useful in a lot of sciences, in construction work and planning, in cargo shipping, in climate control (e.g. air conditioning calculations), swimming pool management, and more.

Find the surface area of the prism.



The surface area is square meters.

Answers

Find attached to this question, the diagram of the prism

Answer:

740m

Step-by-step explanation:

The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.

The surface area of a triangular prism is calculated as

Surface Area = bh + 2ls + lb

Where

b = base = 16m

h = height = 15m

l = length = 10m

s = side edge or length = 17m

Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +

= 740m

Answer:

740m

Step-by-step explanation:

If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last number.

Answers

Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]

For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!

find the area of this triangle. pls help

Answers

Answer:

area is 24

Step-by-step explanation:

Find the equation of the line that passes through (-4, 8) and has a slope of -3.

Answers

Answer:

y= -3x-4

Step-by-step explanation:

Since we already know the slope, we have to plug in values to find out the constant of the equation. We use the point given to figure it out. Y+8 and x=-4, therefore 8=-3(-4)+c ---> 8=12+c. C=-4

4) (3√2+4)(√2−1)=_____+√2

Response: __________

Answers

Answer:

[tex]2+\sqrt{2}[/tex]

Step-by-step explanation:

[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]

[tex]= 6-4+\sqrt{2}[/tex]

[tex]= 2+\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(3√2 +  4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1

                           =3*√(2*2) - 3√2 + 4√2 - 4

                           = 3*2 - 3√2 + 4√2 - 4

                           = 6 - 3√2 + 4√2 - 4  {add the like terms}

                          = 6 - 4 - 3√2 + 4√2

                          = 2 + √2

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