Hey there!!
Given equation :
( x - 1 ) / 4 = ( x + 2 ) / 3
First step we will need to take is to cross-multiply. In cross-multiplication, we will have t multiply the denominator with the numerator on both the sides. In this case, we will have to multiply 4 with x + 2 and 3 with x - 1.
... 4 ( x + 2 ) = 3 ( x - 1 )
... 4x + 8 = 3x - 3
Subtract 3x on both sides.
... x + 8 = -3
Subtract 8 on both sides
... x = - 11
Hope my answer helps!
Divide distance walked by time:
2 1/4 miles / 2/3 hours = 3 3/8 miles per hour
Answer:
Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112
Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.
To get from 7 to 112, we must multiply by 16. This is the relationship.
So, we must multiply both, the walnut and raisin cookies by 16 also.
2 x 16 = 32 = Raisin
3 x 16 = 48 = Walnut
Already known: 112 = Pinwheel
Now that we have all the data, we can make the ratio.
Raisin : Walnut : Pinwheel
32 : 48 : 112
Hope this helps! :)
Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
![\sqrt[5]{x^5}=\sqrt[5]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%7D)
also,
1 can be written as 1⁵
therefore,
![\sqrt[5]{x^5}=\sqrt[5]{1^5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%5E5%7D)
or
x = 1
Hence,
the two roots are x = 1 and x = 4
