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3 years ago

Which of the following is the correct factored form of the given equation?

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

(4x - 3)(x-2) = 0

Step-by-step explanation:

4x² - 11x + 6 = 0

To factorize this equation,

-11

4x6

These numbers are the key to the solution:

find two numbers whose sum is -11 and the product is + 24 (4 x 6)

So, the numbers are -3 and -8

4x² - 8x - 3x + 6 = 0

4x(x -2) - 3(x - 2) = 0

(4x - 3)(x-2) = 0

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This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. -28 -

Serhud [2]

Answer:

The y-intercept is y = 2

Step-by-step explanation:

A linear function has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept, which is the value of y when x = 0.

We are given these three points:

(-28, -54)

(-21, -40)

(-14, -26)

We use two of them to build a system, to find values for m and b.

(-28, -54)

This means that when $x = -28, y = -54$

$y = mx + b$

$-54 = -28m + b$

$28m = b + 54$

$m = \frac{b + 54}{28}$

(-21, -40)

This means that when $x = -21, y = -40$

$y = mx + b$

$-40 = -21m + b$

$-40 = -21\frac{b + 54}{28} + b$

$-40 = \frac{-21b - 1134 + 28b}{28}$

$7b - 1134 = -40*28$

$7b = 14$

$b = \frac{14}{7}$

$b = 2$

The y-intercept is y = 2

7 0

3 years ago

Solve for x. 6(x – 1) = 9(x + 2)

bazaltina [42]

Let's solve your equation step-by-step.
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
Simplify:
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x−3=24−3
x=−8
Answer: x= -8

-Hope I helped.

8 0

3 years ago

Read 2 more answers

For a given input value b, the function f outputs a value a to satisfy the following equation. 4a+7b=−52 Write a formula for ) f

Sergio [31]

Answer: Our required formula becomes :

$a=f(b)=-13-\frac{7}{4}b$