Solve the equation: |x^2+5x+6| = -(x^2+5x+6), find the mode here

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

(x + 3) x (x + 2)

Step-by-step explanation:

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Which quadratic function has a leading coefficient of 2 and a constant term of –3?

Romashka [77]

The answer is f(x) = 2x2 + 3x – 3

f(x) = ax² + bx + c
a - the leading coefficient
c - the constant term

We are looking for a = 2, c = -3

Through the process of elimination:
The first (f(x) = 2x3 – 3) and the third choice (f(x) = –3x3 + 2) have x³ so these are not quadratic function.

In the function: f(x) = –3x2 – 3x + 2
a = -3
c = 2

In the function: f(x) = 2x2 + 3x – 3
a = 2
c = -3

6 0

3 years ago

Read 2 more answers

Find the measure of each angle of a regular pentagon. 36° 108° 144° 72°

iragen [17]

Answer:

The Correct Option is Second one 108°.

Hence, the measure of each internal angle of a regular Pentagon is 108°.

Step-by-step explanation:

Given:

A Regular Pentagon.

Accordingly, for a Pentagon, the total of the internal angles is given by,

$\textrm{Total Measure Internal Angles}=(5-2)\times 180\° = 3\times 180\°= 540\°$

In case of a regular Pentagon, all internal angles are equal.

Hence, divide the total above by 5.

$\textrm{Measure of each angle of regular Pentagon}=\dfrac{540}{5}=108\°$

Hence, the measure of each internal angle of a regular Pentagon is 108°.

7 0

4 years ago

point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure

Triss [41]

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

$\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}$