5x^2 + 45 - 7x - 63 which simplifies to 5x^2 -7x -18?
Answer:
a = -3/2 = -1.5
Step-by-step explanation:
(1+ax) (2+3x)³
Formula
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]
(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]
8 + 12*3x + <u>6*9x^2</u> + 27x^3 + 8ax + <u>36ax^2</u> + 54ax^3 + 27ax^4
coefficient of x^2 is zero
54x^2 + 36ax^2
54 + 36a = 0
36a = -54
a = -3/2
It will take the snail 9.6 minutes to travel 24cm.
Step-by-step explanation:
Distance covered in 4 minutes = 10 cm
Ratio of distance to time = 10:4
New distance = 24cm
Let,
x be the time period
Ratio of new distance to time = 24:x
Using proportions;
Ratio of distance to time :: Ratio of new distance to time
Product of mean = Product of extreme
Dividing both sides by 10
It will take the snail 9.6 minutes to travel 24cm.
Keywords: ratio, proportion
Learn more about ratios at:
#LearnwithBrainly
Answer:
Solution
Step-by-step explanation:
Rewrite logx729= 3 is an exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb(x)= y is equivalent to b^y = x.
X^3 = 729
Take cube root on both side and we get
x= 3√729
now we firstly simplify the 3√729
Rewrite 729 as 9^3
x = 3√9^3
pull terms out from under the redical, assuming positive real numbers
x=9
verify each of the solution by substituting them into logx729=3 and solving.
x= 9
