how to solve 2x^2+5-12=0 by factoring with detail, please!!!!!!

Answers

Answer 1

Answer:

[tex]x = \dfrac 32, ~ x = -4[/tex]

Step by step explanation:

[tex]~~~~~~~2x^2+5x-12=0\\\\\implies 2x^2 +8x-3x-12=0\\\\\implies 2x(x+4) -3(x+4) = 0\\\\\implies (2x-3)(x+4) = 0\\\\\implies 2x -3 = 0~~~~ \text{or}~~~~~~~~ x +4 = 0\\\\\implies 2x = 3~~~~~~~~~ \text{or}~~~~~~~~x = - 4\\\\\implies x = \dfrac 32~~~~~~~~~~ \text{or}~~~~~~~~x = - 4\\\\\text{Hence,}~ x = \dfrac 32, ~ x = -4[/tex]


Related Questions

part 2 to previously asked question 100 points detailed answers please

Answers

Y=4x-1 because it can be the only one

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

C: strong

Step-by-step explanation:

Its basically asking if the line going through the points fits them. Parabolic would mean the trend line is a parabola, which its not. a parabola is a curved line. weak would mean it doesnt follow most of the points. strong would mean it does follow most of the points, which it does. negative, im guessing would mean it follows none and is completely separate from the points. hope this helps.

What is the value of x in the equation 0.3x + 0.2 = 5?

Answers

[tex]~~~~0.3x +0.2 = 5\\\\\implies 3x+2 = 50~~~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 50 -2\\\\\implies 3x = 48\\\\\implies x = \dfrac{48}3\\\\\implies x = 16[/tex]

Pls help me!!!!!!!!!!!

Answers

Answer:

x=55 degrees

Step-by-step explanation:

Because triangle is 180 degrees,

35+90+y=180

y=55

Answer:

x = 55 degrees

Step-by-step explanation:

The angles in a triangle add up to 180 degrees. We are already given 2/3 of the angles that make up the triangle.

The two given angles are 35 degrees and 90 degrees (we got the ninty from the right angle)

We can add these given angles together and subtract them by 180 to find the measure of the missing angle:

35 + 90 = 125

180 - 125 = 55 degrees

#1 Calculate the Area: 11m 8m 5m


Answers

Answer:

24

Step-by-step explanation:

you have to add them

help find the measure of the arc or angle indicated.
please provide work with your answer!​

Answers

Answer:

The answer is a angle indicated to this answer

if is right mark me the brainliest if not don't worry please

HELP PLEASEEEEEEEEEEE

Answers

Answer:

c

Step-by-step explanation:

The answer is C. I took the test

a bamboo shoot is 20 inches tall at day 0 and grows 24 inches each day. which function(s) shown below can be used to determine height, f(n), of bamboo after n days

Answers

Answer:

f(n) = 20 + 24n

Step-by-step explanation:

In slope-intercept form, y = mx + b, where m is the slope and b is the y intercept, you need to input the values you are given. f(n) is your "y" here.

The tricky part here is finding "b". Well, at the start, the bamboo shoot is 20 inches tall, so if you think about it, the equation should start with 20, which will be your "b".

Finally, you must show how the bamboo shoot will grow taller by 24 inches each day. Days in this case will be "n", which is like "x" in the general slope-intercept equation, and 24 is your slope ("m"). This will be positive because the height is increasing.

y = 24x + 20 ⇒ f(n) = 20 + 24n

Answer:

Because it starts at 20, that will be your base number

We know it grows 24 in. per day, but we dont know how many, so then we use n

so 20 + 24n

Step-by-step explanation:

20 + 24n

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza?

Answers

Answer:

20%

Step-by-step explanation:

8 -> pizzas

12 -> hamburgers

14 -> pastas

6 -> steaks

40 = 8 + 12 + 14 + 6 -> total dishes

so the probability become from actual cases on total cases

so (8 / 40)

8/40 = 1/5 = 20/100 = 20%

what is the definition of accounting equation​

Answers

Answer:

The accounting equation is a formula that shows the sum of a company’s liabilities and shareholders’ equity are equal to its total assets (Assets = Liabilities + Equity). The clear-cut relationship between a company’s liabilities, assets and equity are the backbone to double-entry bookkeeping. The source of a company’s accounting equation numbers is its balance sheet. Equity can be Shareholders’ Equity, Stockholders’ Equity, or Owner’s Equity.

Like other equations, if two terms of the basic accounting equation are known, you can solve for the third term. For example, Total Assets – Total Liabilities = Total Equity, or Total Assets – Total Equity = Total Liabilities. You move a term from the right side to the left side of the accounting equation by using a minus sign. 

Names meaning the same as Balance Sheet are Statement of Financial Position or Statement of Financial Condition. 

calculate the area of a parallelogram pqrs if qr=5cm,rs=6cm qrs=118°​

Answers

Check the picture below.

[tex]\cos(28^o)=\cfrac{h}{5}\implies 5\cos(28^o)=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=5\cos(28^o) \end{cases}\implies A=6[5\cos(28^o)]\implies A\approx 26.49[/tex]

Make sure your calculator is in Degree mode.

Jessamyn bought 3 notebooks that cost $2.25 each and a pen that cost $0.75. Sales tax on her purchases was
6%. What was the amount of the sales tax?
$0.54
$0.75
$0.18
$0.45

Answers

number one i think i am correct
It will be 0.45 ………..

Simplify this algebra expression:

6j-2j-2j+8+9+6e+5

Answers

Answer:

6j-2j-2j+8+9+6e+5

= 6j - 4j + 6e + 24

= 2j + 6e + 24

In the early Iberian Peninsula both
Muslims and existed.
A. Catholics
B. Christians
C. Jews

Answers

Answer:

jews

Step-by-step explanation:

Answer:

Christians.

Step-by-step explanation:

Find the area. Answer without units.

I need this asap thx (:

Answers

Answer:

I think the answer is 43.8

Answer:

198.4

Step-by-step explanation:

Right side is a rectangle   12.8 * 12.8 = 163.84 cm^2

Left side is triangle   area = 1/2 Base * height = 1/2 * 12.8 * (18.2-12.8) =

         34.56 cm^2

summed = 198.4  cm^2

Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

Answer:

v=44

w=68

Step-by-step explanation:

in the diagram above K and I are equal therefore the angles are going to be the same that is why w = 68

for v

since we know two angles out of the three we will equate everything inside the triangle to 180° because that is the sum of angle on a triangle

v+68+68=180( sum of angle in a triangle)

v+136=180

subtract 136 from both sides

v= 44

Find the vertex, axis of symmetry, and y-intercept of the quadratic function.

Answers

Answer:

Below in bold.

Step-by-step explanation:

f(x) = 1/2x^2 + 4x

Convert to vertex form:

f(x) = 1/2(x^2 + 8x)

= 1/2 [(x + 4)^2 - 16]

= 1/2(x + 4)^2 - 8    <------ Vertex form.

So the Vertex is at (-4, - 8).

Axis of symmetry is x = -4.

y -intercept (when x = 0) =  8-8 = 0.

Answer:

see explanation

Step-by-step explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = [tex]\frac{1}{2}[/tex] x² + 4x ← is in standard form

with a = [tex]\frac{1}{2}[/tex] , b = 4 , c = 0 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{1}[/tex] = - 4

substitute x = - 4 into f(x) for corresponding y- coordinate of vertex

f(- 4) = [tex]\frac{1}{2}[/tex] (- 4)² + 4(- 4) = [tex]\frac{1}{2}[/tex] × 16 - 16 = 8 - 16 = - 8

vertex = (- 4, - 8 )

the equation of the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the x- coordinate of the vertex ) , then equation of axis of symmetry is

x = - 4

to find the y- intercept substitute x = 0 into f(x)

f(0) = [tex]\frac{1}{2}[/tex] (0)² + 4(0) = 0 + 0 = 0

then y- intercept is 0

What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?

Answers

Answer:

V =704 m^3

Step-by-step explanation:

Remark

The Volume of a cubical Prism = Length * Width * Height of L * w * h

Givens

L = 22 meters

w = 4  meters

h = 8 meters

Solution

V = L * w * h

V = 22 * 4 * 8

V = 704 m^3

Question -:

What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?

Explanation -:

In this question we are provided with the length, breadth and height of a rectangular prism. We are asked to calculate the volume of the rectangular prism.

We know,

[tex] \star \: \small\boxed{ \rm{ Volume_{(rectangular \: prism)} = L×B×H}}[/tex]

Where,

L stand for LengthB stand for BreadthH stand for Height

Substituting the values we get

[tex] \small\sf{ Volume_{(rectangular \: prism)} = 22×4×8 = 704 m³}[/tex]

Hence, the volume of the rectangular prism is 704 m³.

The youngest child in a family is 6 years old. The oldest
parent is 35 years old. What is the range of ages in.
the family?

Answers

If the youngest is 6 and the oldest is 35 then the range equals 6 to 35.
Answer:  29

Work Shown:

Range = Max - Min

Range = Oldest - Youngest

Range = 35 - 6

Range = 29

The range of 29 is the gap between the youngest person and the oldest.

ASAP!!! Find the surface area of this net.

Answers

Answer:

240 cm

Step-by-step explanation:

18*12= 216

+

4*3*2= 24

216*24= 240

There are three marbles in a bag. One is red and two are black. What is the probability of picking a red marble first, putting it back in the bag and then picking a red marble? Use the following probability to find the answer.

Answers

Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 = 1/9

I have 2 questions, What is the smallest power of ten that exceeds 89,876,230,128,970?


Question 1 options:


A. 10^11



B. 10^14



C. 10^15



D. 10^12 What is the smallest power of 10 that exceeds? 981 44/61


Question 2 options:


A. 10^3



B. 10^4

C. cannot be found


D. 10^-2

Answers

Answer:

Question 1: Option B

Question 2: Option A

Step-by-step explanation:

Question #1:

Options are:

10¹¹ = 100000000000

10¹⁴ = 100000000000000

10¹⁵ = 1000000000000000

10¹² = 1000000000000

The power that exceeds the given quantity would be:

10¹⁴ ⇒ There are more digits.

Question #2:

We have the following expression:

981 44/51 = 61*981+44/61 = 981.72

We have to 10³ = 1000
So, the correct option is 10³

could someone help me rnnn?

Answers

Answer:

vertex = (0, -4)

equation of the parabola:  [tex]y=3x^2-4[/tex]

Step-by-step explanation:

Given:

y-intercept of parabola: -4parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and [tex]a[/tex] is some constant)

Substitute point (0, -4) into the equation:

[tex]\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}[/tex]

Substitute point (-2, 8) and [tex]ah^2+k=-4[/tex] into the equation:

[tex]\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}[/tex]

Substitute point (1, -1) and [tex]ah^2+k=-4[/tex] into the equation:

[tex]\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}[/tex]

Equate to find h:

[tex]\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}[/tex]

Substitute found value of h into one of the equations to find a:

[tex]\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}[/tex]

Substitute found values of h and a to find k:

[tex]\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]\implies y=3(x-0)^2-4=3x^2-4[/tex]

So the vertex of the parabola is (0, -4)

It can be solved through some shortcut tricks of parabola

y intercept= (0,-4)

It passes through (-2,8) and (1,-1)

The minimum equation of the parabola (as it's quadratic) for vertex at (0,0)

y=ax²

whatever our required parabola be it's translated from the above one

So

ax²=y

Let a be 0

current equation is y=x²

So it has vertex as well as y inetrcept at (0,0)

For x=-2

y=(-2)²=4 (but its 8 in our translated one )

For x=1

y=1

It wasn't negative but in translation it's negative so something is subtracted

Take a =2 and subtract (-2)² i.e 4 as it's minimal value of y=x² where x≠y

For

(-2,8)

-2=2(4)-4=8-4=4

No try a=3

-2=3(4)-4=12-4=8

Yes satisfied

Take (1,-1)

-1=3(1)-4=3-4=-1

Verified

The required equation is

y=3x²-4

can I have some help graphing inequalities?

Answers

Answer:

x+5>11

x>11-5

x>6

So it should be equal to or bigger than 6

Solve for x first

x + 5 = 11

-5

x = 6

So, x is greater or equal to 6 and the symbol next to box is the right one to use.

There should be a shaded in circle at 6, pointing to the right.

( the length of the arrow doesn't matter, you could even extend it to 7, 8, 9 or 10)

Hope this helps!

linda recorded the number of minutes she practiced playing her violin for 10 days. The table shown represents the data she collected.

According to the data, what is the average amount of time Linda spent practicing per day?

Answers

Answer:

29.3

Step-by-step explanation:

its avarage just add everthink and : to 10

Make q subject of the formula 2(q+p) = 1+5q

Answers

Answer:

expand the equation

then make q the subject of the formal

Find the value of x.

Answers

Answer:

x=13

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (2*x+14)-((3*x+1))=0

1.1      Solve  :    -x+13 = 0

Subtract  13  from both sides of the equation :

                     -x = -13

Multiply both sides of the equation by (-1) :  x = 13

Winona has to paint the entire surface of the barrel shown below.
What is the surface area of the barrel including the top and bottom? (Use 3.14 for !.)
_A 1,099 square feet _B 1,256 square feet
_C 1,570 square feet _D 2,198 square feet

Answers

A is the answer which is 1,099 square feet

What is the volume of the rectangular prism?
(not drawn to scale)
4 in.
7 in.
2 in.
A 100 in
B 15 in
C 28 in
D 56 in
Helppp

Answers

Answer:

D - 56

Step-by-step explanation:

Multiply the height, 4 inches, the length, 7 inches, and the width, 2 inches, to get 56.

Luis is going to purchase a new iPhone with a
case. He is looking at the iPhone 4, 4s and 5,
with an otterbox in either black, blue, or camo.
What are all of the different choices he has?

Answers

Luis has 9 choices. 4 and black. 4s and black. 5 and black. 4 and blue. 4s and blue. 5 and blue. 4 and camo. 4s and camo. 5 and camo.
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