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strojnjashka [21]

3 years ago

6

What is the correct factorization of x2 + 5x – 6?PICK THE RIGHT ONE (x – 1) (x + 6) (x + 1) (x – 6) (x – 2) (x – 3) (x – 2) (x +

3)

1 answer:

Arisa [49]3 years ago

7 0

Hey there!!

Given equation :

... x² + 5x - 6

... x² + 6x - x - 6

... x ( x + 6 ) - 1 ( x + 6 )

... ( x - 1 ) ( x + 6 ) is the answer.

Hope my answer helps!!

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What are the vertex and x-intercepts of the graph of the function given below?

valentinak56 [21]

Hello :
x²-2x-24 =( x²-2x+1)-1-24
= (x-1)² -25 ..... ( vertex form)
<span>. Vertex: (1, -25);
intercepts: x = 6, -4 because :
</span>f(x) = 0..... (x-1)² -25 =0
(x-1)² = 5²
x-1=5 or x-1 = -5
x=6 or x=-4

6 0

3 years ago

Read 2 more answers

5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer

castortr0y [4]

Answer:

y = $\frac{5}{3}x-1$

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' = $\frac{4+1}{3-0}$

m = $\frac{5}{3}$

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = $\frac{5}{3}x-1$

5 0

3 years ago

How to determine if an outcome is unusual

lbvjy [14]

The only way to determine whether or not an outcome is unusual or not is to compare it with previous or future outcomes.

3 0

3 years ago

Identify all factors of the expression 12x^2-14x-6

Evgen [1.6K]

Let's solve this by using the quadratic formula:

$\frac{-b+-\sqrt{b^2-4ac} }{2a}$

Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

$\frac{ - ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}$

And so by evaluating those values we obtain:

$\frac{14+-\sqrt{484} }{24}=\frac{14+-22}{24} \\\\$

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

$\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}$

Second Factor:

$\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}$

And so your factors are

$\frac{3}{2},-\frac{1}{3}$

meaning that those are your roots/x-intercepts.

6 0

3 years ago

Find the slope A) - 1/3 B) -3 C) 1/3 D) 3

Eddi Din [679]

Answer: Choice C) 1/3

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

Explanation:

Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get

m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3

which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,

rise/run = 1/3

5 0

2 years ago