Solve by factoring:

5x^2 + 19x + 12 = 0

Answers

Answer 1

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.

The factors of 5x² will just be 5x and z.

After finding factors for the constant and the leading

coefficient for your trinomial, we can eliminate some factors.

If you have an odd coefficient on the middle term,

you can eliminate any pairs of even factors.

So the group I crossed out in purple below will be eliminated.

Another strategy is to use factors a little closer together.

So I would go with the 4 and 3 group.

Surely enough, our trinomial does factor with the 4 and 3.

Now set the factored trinomial equal to 0.

Then use zero product property and you have your answer.

Solve By Factoring:5x^2 + 19x + 12 = 0
Answer 2

Answer:

-0.27

Step-by-step explanation:

5x^2=25x

25x+19x=44x

44x+12=0

     -12=0-12

44x=-12

44x/44=-12/44

x=-0.27


Related Questions

Huda evaluated the expression below. Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34. What was Huda's error? Huda evaluated (3) squared incorrectly. Huda found the product of –3 and 9 as positive. Huda subtracted –7 from 27 incorrectly. Huda did not follow the order of operations.

Answers

Answer:

Huda found the product of –3 and 9 as positive.

Step-by-step explanation:

Given the expression and result below :

Huda evaluated the expression below. Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34

-3(8 - 5)² - (-7) =

Step 1:

- 3(3)² - (-7)

Step 2:

-3(9) - (-7)

Step 3:

27 - (-7) = 34 (error in the third step)

-3(9) = - 27

Hence,

-27 - (-7) = - 27 + 7 = - 20

Answer:

its B on edge

Step-by-step explanation:

I just took the test

Factorise a2 -10a-24​

Answers

Answer:

(a+2)(a-12)

Step-by-step explanation:

[tex]a^2-10a-24\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(a^2+2a\right)+\left(-12a-24\right)\\\\\mathrm{Factor\:out\:}a\mathrm{\:from\:}a^2+2a\mathrm{:\quad }a\left(a+2\right)\\\\\mathrm{Factor\:out\:}-12\mathrm{\:from\:}-12a-24\mathrm{\\:\quad }-12\left(a+2\right)\\=a\left(a+2\right)-12\left(a+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}a+2\\=\left(a+2\right)\left(a-12\right)[/tex]

Answer:

(a + 2)(a - 12)

Step-by-step explanation:

a^2 - 10a - 24

using splitting method

a^2 - 12a + 2a - 24

taking separate common from both pairs

a(a - 12) + 2(a - 12)

(a + 2)(a - 12)

Line, Line Segment, Ray...
A) are two - dimensional
B) have no dimension
C) are three-dimensional
D) are one dimensional

Answers

Answer:

A

Step-by-step explanation:

They are all straight paths with end points but a line is never ending  but it is still two dimensional

Answer:

D - Are One dimensional

Step-by-step explanation:

Line , Line segments and Ray's are all one dimensional objects

X² + 9x + 4 = FACTORISE

Answers

Answer:

[tex]$-\frac{1}{4} (-2x-9+\sqrt{65})(2x+9+\sqrt{65})$[/tex]

Step-by-step explanation:

We have a second-degree polynomial:

I will find the roots (y = 0) completing the square:

[tex]$x^2+9x+\frac{81}{4}-\frac{81}{4}+4=0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +4 =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +\frac{16}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{65}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\frac{65}{4} $[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\pm \sqrt{\frac{65}{4} } $[/tex]

[tex]$x =-\frac{9}{2} \pm \frac{\sqrt{65} }{2} $[/tex]

[tex]$x =\frac{-9 \pm \sqrt{65} }{2} $[/tex]

[tex]$\boxed{x_1 =\frac{-9 + \sqrt{65} }{2}} $[/tex]

[tex]$\boxed{x_2 =\frac{-9 - \sqrt{65} }{2}} $[/tex]

Six less than 4 times a number​

Answers

Answer:

4x-6

Step-by-step explanation:

Six less than four times a number is four times x because times is multiplying and then subtracting six because less means minus (subtraction)


Mr Tom shared $300 between his two sons aged 15 years and 10 years in
the ratio of their ages. Calculate the amount of money each boy received.

Answers

Answer:

Son of 15 years $180

Son of 10 years $120

Step-by-step explanation:

15 + 10 = 25

   25          300

   15              x = 300*15/25

                    x = 180

   25          300

   10              x = 300*10/25

                    x = 120

Son of 15 years $180

Son of 10 years $120

I'm confused about what the expression is.

Answers

Answer:

4(x+y)

Step-by-step explanation:

x+y is one side length and there are 4 side lengths.

Spackle paint supply had a beginning inventory of 10 cans of paint at 25 per can. They purchased 20 at 30 per can. They had an ending inventory valued 500. How much paint in dollars was used for the month

Answers

Answer:

The total number of paints used for the month = $350

Step-by-step explanation:

Given that:

Spackle paint had a beginning inventory of 10 can of paint at $25 per can =

10× $25 = $250

They purchased 20 at $30 per can.

The amount of the 20 purchased can = 20 × $30 = $600

The total inventory for this supply = $600 + $250

= $850

They had an ending inventory valued 500.

The total number of paints used for the month = total inventory  - ending inventory

The total number of paints used for the month = $850 - $500

The total number of paints used for the month = $350

4m-3/4= -9+4m/8 helppp

Answers

Answer:

m=−  33/14   =−2.357

Step-by-step explanation:

if you search up you question the first thing will come up is an answer from tiger algebra  is may not be you question but click on it is will take to to this search bar area clear it and put you question in it then it will give your answer and step by step explanation

-9(2+3x) distributive property

Answers

You would multiply -9 by 2 and 3x. So it would be -9•2=-18. Then -9•3x=-27x. Hope this helped!

Answer: -18 - 27x, or -27x - 18

1. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

Expand

[tex]-27x-18[/tex]

2. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

[tex]\sqrt{24n^3}[/tex] (simplify radical) please show work

Answers

Answer:

The answer is

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24 {n}^{3} } [/tex]

First of all factor out the perfect square out.

In this question the perfect squares are 4 and x²

So we have

[tex] \sqrt{4 \times {n}^{2} \times 6n} [/tex]

Separate the radicals

That's

[tex] \sqrt{4} \times \sqrt{ {n}^{2} } \times \sqrt{6n} [/tex]

Simplify

[tex] \sqrt{4} = 2 \\ \sqrt{ {n}^{2} } = n[/tex]

So we have

[tex]2 \times n \times \sqrt{6n} [/tex]

We have the final answer as

[tex]2n \sqrt{6n} [/tex]

Hope this helps

Answer:

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24n {}^{3} } [/tex]

Factor out the perfect square ⬜

[tex] \sqrt{2 {}^{2} } \times 6 {n}^{3} [/tex]

[tex] \sqrt{ {2}^{2} } \times 6n {}^{2} \times n[/tex]

Please the square root is for the entire formula ⬆️⬆️⬆️

the root of the product is equals to the root of each Factor

[tex] \sqrt{2 {}^{2} } \sqrt{n {}^{2} } \sqrt{6n} [/tex]

reduce the index of the radical and exponent with 2

[tex]2 \sqrt{n {}^{2} } \sqrt{6n} [/tex]

[tex]2n \sqrt{6n} [/tex]

Solution

2n square root 6n

[tex]2n \sqrt{6n} [/tex]

Hope this helps.....

.9 times what equals 1.5

Answers

Answer:

5/3

Step-by-step explanation:

x*0.9=1.5

x=15/9

x=5/3

Lets solve your question step by step:-

Given,

0.9*x = 1.5

0.9x = 1.5

=}  0.9x/0.9 = 1.5/0.9

x = 1.666667

So,

9 times 1.666667 (x) is 1.5

Hope it helps :)

The development of a city over the past twenty
years cost $962,234,534,288,644. What is the value
of the digit 3 in this number

Answers

Answer:

The 3 in that longest number I have seen in the world is 30 Billion.

Step-by-step explanation:

Million: 6 places before

Billion: 9 places before

Hope this helps!

What is the solution to the inequality below?
X^2>=81

Answers

Answer:

A. x ≤ - 9 or x ≥ 9

Step-by-step explanation:

x² ≥ 81

| x | ≥ 9

x ≥ 0 => x ≥ 9 => x ∈ [ 9 ; + oo)

x < 0 => x ≤ - 9 => x ∈ ( -oo ; - 9 ]

x ∈  ( -oo ; - 9 ] ∪ [ 9 ; + oo)

Find the number of possible outcomes. Seven books need to be placed
on a shelf. You randomly arrange the books on the shelf from left to right.

Answers

Should be 5040 ways
Answer:
5040 possible outcomes.

Explanation:
There are 7 books, therefore you need to do 7! (factorial).
1x2x3x4x5x6x7 = 5040

Solve for x.
45+ Go +1) =
2x

Answers

Answer:

x=  [tex]\frac{1}{2}[/tex]go+23

Step-by-step explanation:

Express the following fraction into a decimal
- 5/9

Answers

Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

Which of the following is the set of all real number x such that x-2 < x-4?

Answers

If you subtract x from both sides, then you go from

x-2 < x-4

to

-2 < -4

which is a false statement. The value -2 is not smaller than -4. It's the other way around. I recommend looking at a number line to compare the two values.

This means that x-2 < x-4 is never true regardless of what x value you pick. So there are no solutions.

Simplify -2x+7=15, i need help understanding why it is -4

Answers

Answer:

-4

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

−2x+7−7=15−7

−2x=8

Step 2: Divide both sides by -2.

−2x

−2

=

8

−2

x=−4

Which statements are true? Check all that apply

Answers

Read the paragraph, then go back and see which of the points match up and which don’t

the area of a square is 36 units what is the perimeter?

Answers

Given :

Area of square = 36 unit²

To Find :

Perimeter of square[tex].[/tex]

SoluTion :

Side of square :

[tex]:\implies\sf\:Area=(side)^2[/tex]

[tex]:\implies\sf\:36=(side)^2[/tex]

[tex]:\implies\sf\:side=\sqrt{36}[/tex]

[tex]:\implies\bf\:side=6\:unit[/tex]

Perimeter of square :

[tex]:\implies\sf\:perimeter=4\times (side)[/tex]

[tex]:\implies\sf\:perimeter=4\times 6[/tex]

[tex]:\implies\underline{\boxed{\bf{\purple{perimeter=24\:unit}}}}[/tex]

Write the phrase as an algebraic expression. A number plus six and three tenths. PLEASE HEEELP

Answers

Answer:

n + 6(3/10)

Step-by-step explanation:

6(3/10) is written as a mixed number

Answer:

x+6.3

Step-by-step explanation:

x+6.3

Something that represent today’s culture ( sum that isn’t tech or social media)

Answers

It depends on which culture you're looking at to be honest. But in the current environment, one item that is fairly prevalent is the coronavirus facemask. You could say it symbolically represents the idea of trying to stay safe and it represents a new norm (that many may consider strange since people are used to seeing each other's faces).

you and 2 decide to each order a pizza for lunch would you rather

Answers

Answer:

My answer to the question is option B

Answer:

hmmmm Option A for me

Step-by-step explanation:

The sum of only negative numbers.
Is it positive or negative

Answers

Answer: negative

Step-by-step explanation: Whenever you are adding negative

numbers together, you will always get a negative number.

For example, (-1) + (-1) will give you -2.

In the same way, (-5) + (-4) gives you -9.

Answer: negaitive

When you add a negative plus a negative you always get another negative

A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?​

Answers

Answer:

$8460

Step-by-step explanation:

So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.

So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.

So 8000 + 460 = 8460.

Thus, the total price of the car would be $8460.

Cheers.

Answer: $8,460

Step-by-step explanation: If you multiply the cost of the car by the sales tax you get your answer. Hope this helps!

Select the correct answer from the drop-dov
Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14,, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by

Answers

Answer: The sample mean is more than the population mean by 3.5

=======================================================

Explanation:

To get the population mean, first add up all the population values

4+6+7+11+12+18+26+23+14+31+22+12 = 186

Then divide that over 12 as there are 12 values in the population

186/12 = 15.5

The population mean is 15.5

----------

The sample mean is computed the same way

add the values = 11+31+22+12 = 76

Divide the sum by 4 = 76/4 = 19

The sample mean is 19

The sample mean is larger by 19 - 15.5 = 3.5

PLSSS HELP Which triangles are similar to triangle A?

Answers

Answer:

ΔB

Step-by-step explanation:

ΔA's angles are: 58º, 54º, and 68º

68º is found by 180 - (58 + 54)

ΔB's angles are: 54º, 68º, and 58º

58º is found by 180 - (68 + 54)

ΔA and ΔB have the same angles, therefore they are similar triangles

Answer:

triangle b

Step-by-step explanation:

i measured

What is the value of the expression below when z = 2? 4z2 – 3z – 4​

Answers

Answer:

6

Step-by-step explanation:

[tex]4z^2 - 3z - 4​\\z =2[/tex]

Substitute 2 for z in the given equation

[tex]4(2)^2 - 3(2) -4\\[/tex]

Follow the PEMDAS order of operations

[tex]\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6[/tex]

Answer:

Step-by-step explanation:

Plug in z = 2 in the expression

4z² - 3z - 4 = 4*2² - 3*2 -4

                 = 4*4 - 6 - 4

                 = 16 - 6 - 4

                 = 10 - 4

                 = 6

Describe the set of all points of the form (2 y) where y is a real number

Answers

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given-question, the information is missing. first, we declare the missing information, after that we define its solution:

Missing information:

plotting the Points  (2, 0), (2, 4), (2, 1), and (2, -1).

solution:

please find the attachment.

In the given attachment file, all the points lie within the same line, which indicates its points, and the set may be interpreted throughout the form of (2,y), or even the points may also be placed on the line x=2.

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