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Lady bird [3.3K]
3 years ago
15

Factor 2x^3+3x^2-23x-12, given that x+4 is a factor

Mathematics
2 answers:
Paraphin [41]3 years ago
6 0
Hello,
2x^3+3x^2-23x-12\\
=2x^3+8x^2-5x^2-20x-3x-12\\
=2x^2(x+4)-5x(x+4)-3(x+4)\\
=(x+4)(2x^2-5x-3)\\
=(x+4)(2x^2-6x+x-3)\\
=(x+4)[2x(x-3)+1(x+3)]\\
=(x+4)(x-3)(2x+1)
Alex73 [517]3 years ago
5 0
<span>(2x + 1) • (x - 3) • (x + 4)</span>
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In the triangle below, what is the side opposite the 30 degree angle
Afina-wow [57]
tan(30^o)= \frac{opposite }{adjacent} \  \ \ \  \to  \\ \\ opposite = adjacent*tan(30^o)=3* \frac{ \sqrt{3} }{3} = \sqrt{3}
4 0
3 years ago
What is the equation of the line that passes through the points (−2, 1) and (1, 10)?
Viktor [21]

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

6 0
3 years ago
Find the value of y when x equals 17 -x+y=-27
notka56 [123]
Find the value of y when x equals 17 -x+y=-27
since x is equal to 17 you plug it in the equation as follows...
-17+y=-27
then you add 17 on both sides...
y=-27+17
Answer:
y=-10
6 0
3 years ago
A car travels 568km in 8 1/2 hours. What is the average speed in meters/second?
GaryK [48]

Answer:

The speed would be 60kph

60/60=1

Step-by-step explanation:

60x24=1,440

It would at a speed of 1,440km per day.

In a year it would go 525,600 km.

Every nanosecond it would go 0.0001 cm.

3 0
2 years ago
Read 2 more answers
A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.
valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

7 0
2 years ago
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