Which is the factorization of 8x2 + 13x - 6?
G C
A
(8x - 3)(x + 2)
(x-6)(8x + 1)
(2x - 2)(4x + 3)
(4x - 1)(2x + 6)

Answers

Answer 1

Answer:

(8x - 3)(x + 2)

Step-by-step explanation:

A factorization must have a result equals to the original expression.

In this question:

For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.

(8x - 3)(x + 2)

8x² + 16x - 3x - 6 = 8x² + 13 - 6

Equal, so this is the factorization.

(x-6)(8x + 1)

8x² + x - 48x - 6 = 8x² - 47x - 6

Different

(2x - 2)(4x + 3)

8x² + 6x - 8x - 6 = 8x² - 2x - 6

Different

(4x - 1)(2x + 6)

8x² + 24x - 2x - 6 = 8x² + 22x - 6

Different

Answer 2

Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).

What is Factorization?

Factorization simply means to write an algebraic expression as products of two factors.

Given the algebraic expression:

8x² + 13x - 6

Factorize as follows:

8x² + 16x - 3x - 6

(8x² + 16x) - (3x - 6)

8x(x + 2) -3(x + 2)

(8x−3)(x+2)

Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).

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Related Questions

PLEASE HELP ME :’)
determine the value of X

Answers

Answer:

x = 26degrees

Step-by-step explanation:

The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,

(2x) + (3x) + (50) = 180

Simplify,

5x + 50 = 180

Inverse operations,

5x + 50 = 180

    -50      -50

5x = 130

/5     /5

x = 26

FREE BRAINLIST NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

explain how 7/10 and 70/100 are equivalent decimals

Answers

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

It is proved that the given decimals are equivalent decimals.

What are equivalent fractions? What is a mathematical function, equation and expression?equivalent fractions : Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

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Does anyone know the answer?

Answers

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

How many years in a month

Answers

Answer:  There are  12 months in one 1 year

Step-by-step explanation:

what is the area of this shape?

Answers

Answer:

D) 36 cm^2

Step-by-step explanation:

(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2

one peach weigh 5 ounces. bella buys 8 peaches. what is the total weight of the peach​

Answers

Answer:

40 ounces

Step-by-step explanation:

well if every peach weighs 5 ounces and she buys 8, just do 8 x 5 and you get 40

Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.

Answers

Answer:

2.7

Step-by-step explanation:

322/7=46

46*125=2.71739

round off

2.7

Can I have help with number 5

Answers

Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?

Answers

Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

A watch seller gained 20% by selling a watch for rs 1260.is) What was its cost price.ii)If he had to gain 30%,at what price should have sold it​

Answers

Step-by-step explanation:

A watch seller gained 20% by selling a watch for 1260.If he had to gain 30%,at what price should have he sold it?

Dalton III

Answered December 12, 2020

I shall explain the solution to this problem using rudimentary concepts.

First, we need to determine the original price of the watch.

Convert the percentage profit to a decimal by dividing by 100. In this problem, the profit is 20%, so we would divide:

20100=0.2

Add 1 to the profit expressed as a decimal.

1+0.2=1.2

Divide the price after the profit has been added by the figure which we have calculated to find the price before the profit (we shall assume that the currency used in this problem is the pound sterling)

£12601.2=£1050

Now that we have determined the original price of the watch, we shall determine at what price should the seller sell this watch in order to obtain a 30% gain. The same formula is used for the first two steps.

Convert the intended percentage profit to a decimal by dividing by 100. In this problem, the intended profit is 30%, so we would divide:

30100=0.3

Add 1 to the intended profit expressed as a decimal.

1+0.3=1.3

Now, instead of dividing, we would want to multiply the original price with the figure 1.3

£1050⋅1.3=£1365

So, in order to gain a profit of 30%, the watch seller should sell the watch at a price of £1365

HELP
Find the mean, median, mode, and range of the following data set.

15, 12, 19, 15, 16, 13, 15.

Mean:

Median:

Mode:

Range

Answers

The meadian is 15
Mean is 331
Mode is 15
Range is 1903

Hope this helps

Free Brainliest
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.


A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.

Answers

ANSWER: 141.4
EXPLANATION: use pythagorean theorem

Suppose you fill the cone with water and empty the water into the cylinder. How many times will you empty the water from the cone into the cylinder.
A.3 TIMES B.6 TIMES C.9 TIMES

Answers

Answer:

I believe around 3 times

Step-by-step explanation:

Because if we round we would get

150÷50=3

Hope this helps!!

Find the maximum rate of change off at the given point and the direction in which it occurs.

f(x, y) = 4y √x, (4, 1)

Answers

Answer:

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Step-by-step explanation:

Given that;

f(x, y) = 4y √x, (4, 1)

{ x=4 and y=1 }

Maximum rate of change occurs with the gradient vector;

[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]

we substitute in our value of x and y

[tex]\nabla[/tex]f =  2(1)/√4, 4√4

[tex]\nabla[/tex]f = 2/√4, 4√4

[tex]\nabla[/tex]f = ( 1, 8 )

Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|

we substitute

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Reduce to simplest form -9/11 - (-7/4)

Answers

Answer:

74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

PLS PLS PLS PLSSSSS HELPPP

Answers

Answer:

The regular bottle holds 9 fl oz of sun screen

Step-by-step explanation:

75% of 12 = 9

Does anyone know what 0.4 divided by 2.4 is? I think it’s 0.6 or 6 not for sure tho!

Answers

Answer:

0.16 I think............

Answer:

0.16666666666

Choose the linear Inequality that describes the graph. The gray area represents the shaded region.

Answers

Answer:

3

Step-by-step explanation:

the y axis

The population of a city has decreased by 33% since it was last measured. If the current population is 13,400, what was the previous population?
0
Х
?
Continue

Answers

Answer:

8,978 People

Step-by-step explanation:

13,400 x 0.33 = 4,422

13,400 - 4,422 = 8,978


One month Maya rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a total of $38. Find the
rental cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:

Answers

Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

-------------------------

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.

What will his monthly payment be? (Use the table.)


$94.56


$96.79


$123.21


$141.81

Answers

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

Answer:

Step-by-step explanation:

Equal installments can be found by

I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)

I=4300((1.00958-1)/(1.00958^60-1)+0.00958)

I=$94.56

by what percent would a number change if it increased by 5% and the result was also increased by 5%

Answers

Answer:

10.25%

Step-by-step explanation:

imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%

Hope this is correct :) I'm rly not sure now

Answer:

10%

Step-by-step explanation:

What is 27^2/3 simplified

Answers

Answer:

3^3

Step-by-step explanation:

[27]^2/3 can also be written as,

[(3)^3]^2/3

Now we know that a^m * a^n = a^m+n, therfore,

[3]^ 3*2/3

Cut 3 and 3

Therefore, you get 3^3

Let me know if you understood. If you didnt I can try to explain it to you in another way.

Also, plz mark me as the brainliest!

find the value of x
a. 31
b. 46
c. 52
d. 107​

Answers

The answer is C.52

4x-101=2x+3
2x =104
X=52

Find the coordinates of the point where the lines with equations y=x and y=-6 intersect

Answers

Answer:

(-6, -6)

Step-by-step explanation:

Find the coordinates of the point where the lines with equations y=x and y=-6 intersect.

The lines intersect at y = y

Equating the right hand side of both expressions we have;

x  = -6

Since y = x, hence y = -6

The required coordinate where they intersect is at (-6, -6)

Help pls also show work if needed!

Answers

Answer:

unknown value = 800

Step-by-step explanation:

f(x) = 1333/100·x + 1/5

so if x = 60 - > (1333/100)60+1/5 = 800

Answer: 800

Step-by-step explanation: 933.3-133.3=800-133.3=666.7-133.3=533.4

help the question is
"Which expression represents the area, in square feet, of the recreation room in terms of x?"

Answers

Answer:

vebjsjjssjvtjkskskkskskkkk

Step-by-step explanation:

yzuduudjizjdayayay ayayay ayayay

A triangle has sides with lengths 8, 15, and 17.

1. Verify this is a Pythagorean Triple

2. Approximate the acute angles in this triangle

Answers

Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

What is the Pythagorean Triple?

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, A triangle has sides with lengths 8, 15, and 17.

1) Checking for Pythagorean triples;

17² = 289

8²+15² = 225+64 = 289 = 17²

∴ 17² = 8²+15²

Since, they are following the Pythagoras theorem so, they are  Pythagorean triples.

2) Calculating the acute angles:-  [please refer to attached figure]

Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,

sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)

∠ C = sin⁻¹(15/17)

∠ C = 61.92°

∠ A = 90°-61.92°

∠ A = 28.08°

Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

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HELP WILL MARK BRAINLIEST ​

Answers

Answer:

a) 1/9

b)1/64

c)1/16

Step-by-step explanation:

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