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k0ka [10]
3 years ago
9

What is the diffrence between 4x (4 to the power of x) and x4 (x to the power of 4)? evalutate both of these expressions when x=

2
Mathematics
1 answer:
777dan777 [17]3 years ago
6 0
If we plug 2 in for x we get

4^2 or 4 x 4

And

2^4 or 2 x 2 x 2 x 2

4 x 4 is 16 and 2 x 2 x 2 x 2 is also 16

So when x=2 the difference between the 2 expressions is 0
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What is the slope of the line passing through the points (1, –5) and (4, 1)?
Naddik [55]
The slope is a 2
here the stpes 
6/3 got 2
y2-ya
x2-x1
then you get 6/3 devide ad that you slope

3 0
2 years ago
Jalene lost 12 pounds in the first 3 weeks of his diet if he lost a total of 84 pounds how many weeks did it take him
sertanlavr [38]

Answer:

21 weeks.

Step-by-step explanation:

To start, you have to get the pounds lost per week.

12/3=4

4 pounds lost per week.

Next, find out how many weeks it takes by solving this equation,

4x=84

Divide 84/4=21

Therefore, it took 21 weeks to lose 84 pounds.

6 0
2 years ago
Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amo
UNO [17]

Answer:

35 sweets

Step-by-step explanation:

Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amount of red sweets

Ration of green to red sweets is 3:1

Total Proportion = 3 + 1 = 4

Total number of sweet = > 140 sweets

The greatest amount of red sweets =

1/4 × 140 = 35 sweets

8 0
2 years ago
Susie has a bag of marbles containing 3 Red, 7 Green, and 10 Blue marbles.
morpeh [17]

Answer:

1) a) 0.0945

b) 0.1062

2) a) 0.0138

b) 0.00081

3) a) 0.00094

b) 0.00083

4) 301.68 cents

5) 0.0056

Step-by-step explanation:

Since there are 3 Red, 7 Green, and 10 Blue marbles.

Total number of marbles N = 20

Probability (Red) = 3/20

Probability (Green) = 7/20

Probability (Blue) = 10/20

1) the probability of picking 5 marbles and getting at least one red marble

A) with replacement

P(at least 1 red of 5)= (3/20 * 17/20 * 17/20 * 17/20 * 17/20) + (3/20 * 3/20 * 17/20 * 17/20 * 17/20) + (3/20 * 3/20 * 3/20 * 17/20 * 17/20)

P(at least 1 red of 5) = 0.0783 +0.0138 + 0.0024 = 0.0945

B) without replacement

P(at least 1 red of 5) = ( 3/20 * 17/19* 16/18 * 15/17 * 14/16) + (3/20 * 2/19 * 17/18 * 16/17 * 15/16) + (3/20 * 2/19 * 1/18 * 17/17 * 16/16)

P(at least 1 red of 5) = 0.0921 + 0.01316 + 0.0009 = 0.1062

2) the probability of picking 6 marbles having 2 of each color

A) with replacement

P( 6, 2 of each) = 3/20 * 3/20 * 7/20 * 7/20 * 10/20 * 10/20

P( 6, 2 of each) = 0.0138

B) without replacement

P( 6, 2 of each) = 3/20 * 2/19 * 7/18 * 6/17 * 10/16 * 9/15

P( 6, 2 of each) = 0.00081

3) Pick 8 marbles: 4 green and 4 blue

A) with replacement

P(8, 4G and 4 B) = 7/20*7/20*7/20*7/20*10/20*10/20*10/20

P(8, 4G and 4 B) = 0.00094

B) without replacement

P(8, 4G and 4 B) = 7/20*6/19*5/18*4/17*10/16*9/15*8/14*7/13 = 0.00083

4) getting at least 6 marbles of the same color

Only Green and Blue marbles are more than 6

P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

= 0.00018 + 0.00542

P(at least 6 marbles of the same color) = 0.0056

Cost of 6 .marbles= 6* 50 cents

C = 300 cents

Therefore, You will have to pay

(1 + 0.0056) 300 cent = 301.68 cents to be sure of getting at least 6 marbles of the same color

5) getting at least 6 marbles of the same color

Only Green and Blue marbles are more than 6

P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

= 0.00018 + 0.00542

P(at least 6 marbles of the same color) = 0.0056

6 0
2 years ago
Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?
postnew [5]

Answer:

Simplify, x(3) + x(2) + x + 1

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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