1) given ,
4x-24=1000
=> 4x = 1000+24
=> 4x = 1024
=> x = 256
2)Given , 7x= 343
=> x = 343/7
=> x = 49
3) given , x^4 = 4096
=> x = fourth root of 4096
=> x = 8
If his speed is 43 mph, then it takes him 40/43 of an hour to go 40 miles.
An hour = 60 minutes.
40/43 of 60 minutes = 55.8 minutes. He gets home 55.8 minutes after 6:24 PM.
The stock price rose by 14%
Percentage is the fraction of a sum expressed as a number out of hundred.
Percentage price increase = (change in price / initial price) x 100
In order to determine the answer, the following information is needed :
New price - Initial price
$57 - $50 = $7
Percentage increase in stock price : ($7 / $50) x 100 = 14%
In order to determine the percentage increase in the stock price, express the increase in price as a fraction of the initial price and multiply by 100
To learn more about percentages, please check: brainly.com/question/92258?referrer=searchResults
6.2, 7.0
To find the common difference between two outputs you will subtract the current output number from the proceeding number. Ex 5.4 - 4.6 = 0.8 and 4.6 - 3.8 = 0.8. Because they are the same value it means the function increases at a rate of 0.8 for each input of a.
so 5.4 + 0.8 = 6.2
and 6.2 +0.8 = 7.0.
If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination
C(5, 2) = 5!/(2!.3!) = 10
Then if we had something like
(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"
And in our case we have 2x as a
So we must do 2² too
2² = 4
10 . 4 = 40
Then our second term of the expansion would be
40x²y³
