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Alexus [3.1K]
3 years ago
12

Which expression is equivalent to (2x − 3)(x + 4) ?

Mathematics
2 answers:
sergey [27]3 years ago
7 0

Answer:

Step-by-step explanation:

2x2 + 8x - 3x - 12

2x2 + 5x - 12 is equivalent to the given expression

Komok [63]3 years ago
5 0

Answer:

2x^{2} +5x-12

Step-by-step explanation:

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6x^2-9x +2=0 solve the quadratic equation using the quadratic formula
balu736 [363]

<u>ANSWER: </u>

The roots of 6 x^{2}-9 x+2=0 are \frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}

<u>SOLUTION:</u>

Given, quadratic equation is 6 x^{2}-9 x+2=0 --- eqn (1)

We need to find the roots of given quadratic equation using quadratic formula.

Quadratic formula for general quadratic equation  a x^{2}+b x+c=0 is X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for eqn (1) a = 6, b= -9 and c = 2

X=\frac{-(-9) \pm \sqrt{(-9)^{2}-4 \times6 \times 2}}{2 x 2}

X=\frac{9 \pm \sqrt{81-48}}{4}

\begin{array}{l}{X=\frac{9 \pm \sqrt{33}}{4}} \\ {X=\frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}}\end{array}

Hence the roots of 6 x^{2}-9 x+2=0 are \frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}

6 0
3 years ago
2.8y + 6 + 0.2y = 5y -15
Olegator [25]
Simplify 2.8y + 6 + 0.2y to 3y + 6

subtract 3y from both sides

simplify 5y - 15 - 3y to 2y - 15

add 15 to both sides

simplify 6 + 15 to 21

divide both sides by 2

switch sides

Answer: y = 21/2

*in decimal form this would be 10.5
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