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almond37 [142]
3 years ago
6

Completely factor this quadratic expression: 4x2 + 12x − 72.

Mathematics
2 answers:
liraira [26]3 years ago
8 0

Answer:

4(x-3)(x+6)

Step-by-step explanation:

Factor out the 4

4(x2 + 3x - 18)

what 2 numbers add to 3 and multiply to - 18?

-3 and 6

therefore 4x2 + 12x − 72 = 4(x-3)(x+6)

WITCHER [35]3 years ago
4 0

Answer:

(4x² + 24x)- (12x + 72)

4x( x+ 6)- 12(x + 6)

ans = (4x - 12)(x + 6)

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3x-8<23 and -4x+26>6
Papessa [141]

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

3 0
2 years ago
What is the slope of the line that passes through the points (3, -4) and (7, 4)?
Andrews [41]
The correct option is: Option (C) 2

Explanation:

The slope formula is = m = \frac{y_2 - y_1}{x_2 - x_1}

Insert the values in the above formula:

m = \frac{4 - (-4)}{7 - 3} =  \frac{8}{4} = 2

Which is Option (C).
6 0
3 years ago
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

4 0
2 years ago
What is times positive 9 times negative 5
Ber [7]
Negative 45 or -45 because different signs with multiplication are always negative
5 0
3 years ago
You flipped a coin 50 times and got 23 heads.What is the experimental probability of getting a head? Write your answer as a frac
lys-0071 [83]

Answer:

23/50, 0.46, and 46%

Step-by-step explanation:


This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.


8 0
2 years ago
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