Solve by factoring.. m^2 + 8m + 7 = 0

Answers

Answer 1

Answer: In order to solve an equation by factoring, it should be that the equation is equal to zero.
m^2 + 8m + 7 = 0
For this case we have, to do completing the square in order to factor this equation.

m^2 + 8m = -7
m^2 + 8m + 16 = -7 +16
(m+4) (m+4) = 9
(m+4)^2 = 9

Take the square root of both sides,
m+4 = 3
m = -1

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Which is a subset of {1, 2, 4, 5, 6}?{0, 1, 2}
{3, 4}
{5, 6, 7}
{2, 6}

Answers

{2,6} is a subset of set {1, 2, 4, 5, 6} which is correct option (D).

What is a set?

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

What is a Subset?

A subset is defined as part of a given set subset (another set or the same set). The set notation to represent a set A as a subset of set B is written as A ⊆ B.

Given set as :

{1, 2, 4, 5, 6}

There are 2⁵ = 32 subsets

(which you know because there are 5 numbers in the set).

{},{1},{2},,{ 4},{ 5},{ 6},

{1,2},{1, 4},{1, 5},{1, 6}

{2, 4},{2, 5},{2, 6},

{ 4, 5},{ 4, 6},{ 5, 6},

,{1,2, 4},{1,2, 5},{1,2, 6}

,{1, 4, 5},{1, 4, 6},{1, 5, 6}

,{2, 4, 5},{2, 4, 6},{2, 5, 6}

,{ 4, 5, 6} {1,2, 4, 5, 6},

{1, 2, 4, 5, 6}

So, {2,6} is a subset of {1, 2, 4, 5, 6}

Thus they are both included in the set.

Hence, {2,6} is a subset of set {1, 2, 4, 5, 6}.

Learn more about Subset here:

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{2,6} because they are both in the first set

The product of 2.5 and a number t

Answers

The word 'product' tells you that your two numbers will be multiply. When you multiply a number and a variable, the number always goes first. So, the product of 2.5 and a number t is 2.5t .

I need help please help me

Answers

A because the price went up after a 35%

Tomato ehjhhjrhu huwdhajkwh

Answers

Cnidnekooe idbheowobdh

Answer:

its a fruit

Step-by-step explanation:

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1:30 to 4:30 is how many hours

Answers

the correct answer is 3 hours

Simplify and solve this equation: 4m + 9 + 5m – 12 = 42.A. m = -4
B. m = 4
C. m = –5
D. m = 5

Answers

4m + 9 + 5m – 12 = 42
Given the equation combine all similar terms found on a side of the equation.
You can add the "m" and get: 9m + 9 – 12 = 42
You can combine the 9 and the -12 and get: 9m - 3 = 42
Toget the "m" alone add or subtract any number necessary from the leftside so the number is 0, and do the same to the right: 9m - 3 + 3 = 42 +3, leaving you: 9m = 45
Divide each side by the number of "m" you have: (9m)/9 = 45/9 which simplifies to m=5.

The solution of expression 4m + 9 + 5m - 12 = 42 by combining like terms is,

⇒ m = 5

Given that,

A mathematical expression is,

⇒ 4m + 9 + 5m - 12 = 42

Now, simplify the expression by combining like terms and solve for m as,

⇒ 4m + 9 + 5m - 12 = 42

Combine like terms,

⇒ 9m - 3 = 42

Add 3 on both sides,

⇒ 9m = 42 + 3

⇒ 9m = 45