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vladimir1956 [14]
3 years ago
7

(I WILL GIVE BRAINLIEST)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

For this case we have the following polynomial:

3x ^ 2 + 9x + 15

The standard form of the polynomial is given by:

ax ^ 2 + bx + c

Where, the axis of symmetry of the polynomial is given by the expression:

x = - \frac {b} {2a}}

In this case we have:

a = 3\\b = 9

Therefore, replacing values we have:

x = - \frac {9} {2 (3)}

Rewriting we have:

x = - \frac {9} {6}\\x = - \frac {3} {2}

Answer:

The symmetry axis of the polynomial is given by:

x = - \frac {3} {2}

option C

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Find the equation of the line containing the points (20,-7) and (10,-2). Type your answer in this order and don't use spaces or
aliina [53]

(\stackrel{x_1}{20}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{20}}}\implies \cfrac{-2+7}{-10}\implies -\cfrac{1}{2}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3

4 0
2 years ago
Drag each expression to show whether it can be used to find the volume, surface area, or neither.
Mumz [18]

Answer:

Volume = 12 *6 *8 , Surface area = 2 ( 12 *6  + 8 *12 + 6* 8 )

Step-by-step explanation:

Given : Cuboid with length 12 , width 6 and height 8 units.

To find : Drag each expression to show whether it can be used to find the volume, surface area, or neither.

Solution : We have given Cuboid with

Length =  12 units ,

Width = 6 units

Height = 8 units.

Volume of cuboid = length * width * height .

Volume = 12 *6 *8.

Surface area = 2 ( l *w  + h *+w *h)

Surface area = 2 ( 12 *6  + 8 *12 + 6* 8 ).

None = 12 +6 +8.

Therefore, Volume = 12 *6 *8 , Surface area = 2 ( 12 *6  + 8 *12 + 6* 8 ) .

7 0
3 years ago
Read 2 more answers
Sovle: 10 -2x = -30 <br> Please use subsitution <br> Show your steps to solve the equation
Margaret [11]
10 - 2x = -30
-2x = -40
2x = 40
x = 20
7 0
3 years ago
Read 2 more answers
Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and
vova2212 [387]

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

l = length

w = width

h = height

Amount of sand used is the volume (V1) and it is calculated using;

V_1 = l * w * h

V_1 = lw h

Since the pyramid has the same base area and height as the prism, the its dimension would be:

l = length

w = width

h = height

Amount of sand used is the volume (V2) and it is calculated using;

V_2 = \frac{1}{3}*(lwh)

So, we have:

V_1 = lw h

V_2 = \frac{1}{3}*(lwh)

Substitute lwh for V1 in the second equation

V_2 = \frac{1}{3}V_1

Multiply both sides by 3

3 * V_2 = \frac{1}{3}V_1 * 3

3 * V_2 = V_1

Reorder

V_1 = 3 * V_2

V_1 = 3 V_2

<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>

3 0
2 years ago
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tankabanditka [31]
I think it is gonna be xy

because if ur set contains all odd multiples of 3 (-9,-3,3,9,15,21,27...
and u pick any 2 of those numbers and multiply them u will end up with an odd numbered multiple of 3

and if u pick out any 2 numbers in ur set..and do any of the other things in ur answer choices, it will not always be an odd numbered multiple of 3
4 0
2 years ago
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