All categories

4 years ago

How to solve x2 + 5x - 6 in factoring quadratics

Mathematics

2 answers:

Scorpion4ik [409]4 years ago

8 0

Step-by-step explanation:

here

x² + 5x - 6

= x² + ( 6 - 1 ) x - 6

= x² + 6x - x -6

= x( x + 6 ) - 1 ( x + 6)

= ( x + 6 ) ( x -1 )

Scrat [10]4 years ago

8 0

Answer:

(x +6) (x-1)

Step-by-step explanation:

Find the factors of 6 first = 1,6 and 2,3

You must choose the set that when you add them together will make positive 5, but when you multiply them it must make a negative six since the last term is negative

So (x +6 ) (x -1) because if you add 6 + (-1) you get 5

and when you multiply 6 x -1 you get -6

You might be interested in

Simplify the expression by arranging the steps in sequence, based on the order of operations.

lubasha [3.4K]

Answer:

$\displaystyle 6x - 5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)$

Step 2: Simplify

Distribute: $\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)$
Multiply: $\displaystyle 5x + 4 - 9 + x$
Rearrange: $\displaystyle 5x + x + 4 - 9$
Combine like terms: $\displaystyle 6x - 5$

8 0

3 years ago

Slope of the line passing through points (-6,6) and (4,-7)

castortr0y [4]

The slope of a line is constant because the acceleration is equal to zero.

The slope of a line is always just (y2-y1)/(x2-x1), so in this case:

m=(-7-6)/(4--6)

m=-13/10

m=-1.3

3 0

3 years ago

After substituting, what is the first step when evaluating 4y+9/7 when y=8

kenny6666 [7]

Answer:

multiply 4 and 8 to get 32

Step-by-step explanation:

After substituting, the expression is ...

4·8 +9/7

The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...

32 + 9/7

Now, you can do the division:

32 + (1 2/7)

And, finally, the addition:

33 2/7

___

Or, you could skip the division and go straight to adding a whole number and a fraction:

(32·7 +9)/7 = (224+9)/7 = 233/7

7 0

4 years ago

The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ

Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to $5C_{5}(0.55)^{5} (1-0.55)^{0}$