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3 years ago

Could someone please show me how to factor this using the x method

Mathematics

2 answers:

34kurt3 years ago

8 0

Answer:

(x + 2) (8x + 3)

Step-by-step explanation:

$8x^{2}$ + $19x + 6$

= (x + 2) (8x + 3)

L = 3/a = 3/8

R = 16/a = 16/8 = 2

ozzi3 years ago

8 0

\ac/

L V R

/ \

/ b \

where letters have their usual meaning. Comparing 8x² + 19x + 6 to ax² + bx + c,

ac = 8*6 = 48

b = 19

Factors of ac or 48 :-

1 * 48

2 * 24

3 * 16

As the sum of 3 and 16 is 19(or b), our required pair is 3 and 16.

On the left side:

L = 3/a = 3/8

On the right side:

R = 16/a = 16/8 = 2

Therefore, factorized form is (x + 3/8)(x + 2) which can be written as (8x + 3)(x + 2).

How this method works:

Make a X with ac and b on the top and bottom of the X, where ac and b are taken from ax² + bx + c.

On the left side we have d/a and e/a. Basically d and e are those values that we get after solving the whole question.

Step1: find the pair(s) for which sum of factors of ac = b. Here it is 3 and 16.

Step2: put these values in place of d and e.

Step3: solve left anf right of X,

Left = d/a = 3/8

Right = e/a = 16/8 = 2

Step4: whatever you get, put that in (x+?)(x+?) in place of ?.

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vitfil [10]

PART 1:

Jeremy gives the correct answer.

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Jenny's assumption of 41/100 will give a decimal equivalency of 0.41 [without a bar over digit 4 and 1]. This value is not a reoccurring decimal value.

PART 2:

The long division method is shown in the picture below

PART 3:

As mentioned in PART 1, the result of converting 41/100 into a decimal is 0.41 [non-reoccuring decimal] while converting 41/99 into a decimal is 0.41414141... [re-occuring decimal]. The conjecture in PART 1 is correct

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3 years ago

(will give brainly) orde the values on the cards below in ascending order

VMariaS [17]

Answer:

Step-by-step explanation:

Set 1

first of all we have to look at the negative numbers:

-99% = -0,99

-√80 = is almost 9

so :

-9,(9) ; -√80 ; -99%

then the positive numbers:

19% = 0,19

√9 = 3

1/9 = 0,11...

1/9 ; 19% ; √9

final answer:

-9,(9) ; -√80 ; -99% ; 1/9 ; 19%, √9

Set 2

descending order = from greatest to least

In this case we have to look at first at positive numbers

2/3 = 0,6

√23 = 4,...

20/3 = 6,...

23% = 0,23

20/3 ; √23 ; 2/3 ; 23%

negative numbers

-√34 = -5,...

so :

-4,(3) ; -√34

final answer:

20/3 ; √23 ; 2/3 ; 23% ; -4,(3) ; -√34

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3 years ago

Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD.

galben [10]

Answer:

∠EFD ≅ ∠EGD ⇒ A

Arc ED ≅ arc FD ⇒ C

m arc FD = 120° ⇒ E

Step-by-step explanation:

Let us revise some facts

Equal chords subtended equal arcs
The measure of an inscribed angle is one-half the measure of the central angle which subtended by the same arc
The measure of a central angle is equal to the measure of its subtended arc
If one angle of an isosceles triangle measure 60° then the triangle is equilateral
The sum of the measures of the interior angles of any quadrilateral is 360°

In the quadrilateral CDGE

∵ m∠G = 60°

∵ m∠GDC = m∠GEC = 90°

- By using the 5th rule above

∴ m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

∴ 60 + 90 + m∠DCE + 90 = 360

∴ 240 + m∠DCE = 360

- Subtract 240 from both sides

∵ m∠DCE = 120°

In circle C

∵ ∠DCE is a central angle subtended by arc DE

∵ ∠DFE is an inscribed angle subtended by arc DE

- By using the 2nd rule above

∴ m∠DFE = $\frac{1}{2}$ m∠∠DCE

∵ m∠DCE = 120°

∴ m∠DFE = $\frac{1}{2}$ (120)

∴ m∠DFE = 60°

- That means ∠EFD ≅ ∠EGD because their measure is 60°

∴ ∠EFD ≅ ∠EGD

In Δ EFD

∵ EF = FD

∵ m∠DFE = 60°

- By using the 4th rule above

∴ Δ EFD is an equilateral triangle

∴ ED = FD = FE

In circle C

∵ Side ED subtended by arc ED

∵ Side FD subtended by FD

∵ Side ED ≅ side FD ⇒ proved

- By using the 1st rule above

∴ Arc ED ≅ arc FD

∵ m∠ECD = 120°

∵ ∠ECD is a central angle subtended by arc ED

- By using the 3rd rule above

∴ m∠ECD = m arc ED

∴ m of arc ED = 120°

∵ Arc ED ≅ arc FD

∴ m arc ED = m arc FD

∴ m arc FD = 120°

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Mathematical Work:
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f(x)=x+8
g(x)=x2-6x-7
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