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Anton [14]
2 years ago
9

Simplify the following expression:-5[(x^3 + 1)(x + 4)]​

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Answer:

-5x^{4} -20x^{3} -5x-20

Step-by-step explanation:

-5[(x^{3} +1)(x+4)]

Use the FOIL method for the last two groups.

-5(x^{4} +4x^{3} +x+4)

Now, distribute the -5 into each term.

-5x^{4} -20x^{3} -5x-20

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point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?
irina [24]

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

4 0
2 years ago
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the prob
Rzqust [24]
6 nickels and 3 pennies
8 0
2 years ago
A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
snow_tiger [21]

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = \frac{\text{Distance traveled}}{\text{Time}}

                           = \frac{210}{3.5}

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = \frac{\text{Distance traveled}}{\text{Time}}

                                             = \frac{60}{1}

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

8 0
1 year ago
Decrease £16870 by 3% , give your answer rounded 2 decimal places
lidiya [134]
To decrease it by 3% we need to fine 97% of it and 97% is the same as 0.97

16870 times 0.97=16363.9

16870 decreased by 3% is 16363.9

I hope I've helped!
5 0
2 years ago
What is another way to write 9x200?
pashok25 [27]
9×2=18. add the tow zeros like this 9×2=18+00=1,800
7 0
2 years ago
Read 2 more answers
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