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3 years ago

Which expression equals 6x − 5y + 2 − 8x + 3( y + 5)?

1 answer:

7 0

There are two steps to this problem.

1. We must distribute 3 into (y+5)

<span>6x − 5y + 2 − 8x + 3( y + 5)

6x - 5y + 2 - 8x + 3y + 15

2. We must then combine like terms.
Anything with an "x" can be added together.
Anything with a "y" can be added together.
Anything without an "x" or "y" can be added together.

</span>6x - 5y + 2 - 8x + 3y + 15

-2x - 2y + 17

Your answer is <span>C) − 2x − 2y + 17 </span>

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Rewrite using a single positive exponent.<br> 6^5<br> 6

Fiesta28 [93]

Answer:

$6^{4}$

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

note that 6 = $6^{1}$ , then

$\frac{6^{5} }{6}$ = $6^{(5-1)}$ = $6^{4}$

7 0

3 years ago

Factorize 2a^2+7a-15

loris [4]

$\huge\bf \pink {\underline{Solution :-}}$

$2 {a}^{2} + 7a - 15$

$= 2 {a}^{2} + 10a - 3a - 15$

$= 2a(a + 5) - 3(a + 5)$

$= (a + 5)(2a - 3)$

$\sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}$

$\\$

$\bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}$

$• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

$• \: (a + b)(a - b) = {a}^{2} - {b}^{2}$

$• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2}$

$• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3}$

$• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3}$

$• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )$

$• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab$

$• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

$• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}$

$• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab$

5 0

4 years ago

Read 2 more answers

Ed counts 23 black cars, 9 red cars, 17 blue cars, 25 white cars and 21 silver cars during 20 minutes of watching. How many more

amid [387]

23 black cars
9 red cars
17 blue cars
25 white cars
21 silver cars

(white cars + blue cars) - (sliver cars + red cars)
(25 + 17) - (21 + 9)
(42) - (30)
12 more blue and white cars

7 0

4 years ago

The human eye contains approximately 9.1 x 10^7 rod cells and 4.5 x 10^6 cone cells . Samuel subtracts 9.1-4.5 and says there ar

Paul [167]

Samuel is incorrect because he didn't subtract the power of the numbers.

<h3>How many more rod cells are there?</h3>

The number of rod and cone cells in the human eye is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 1 x 10² is equivalent to 100

(9.1 x 10^7) - (4.5 x 10^6)

= (9.1 - 4.5) x 10^(7 - 6)

4.6 x 10 = 46

To learn more about scientific notation, please check: brainly.com/question/25334755

#SPJ1

6 0

2 years ago

Convert the fraction into a decimal:<br>1/2

mixas84 [53]

It is 0.5 because 1/2 x 1 is 0.5

7 0

3 years ago

Read 2 more answers