the multiplication of fractions is very straightforward, numerators across and denominators across, now, let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\cdot \cfrac{5}{7}\implies \cfrac{12}{7}\cdot \cfrac{5}{5}\implies \cfrac{12}{7}\cdot 1\implies \cfrac{12}{7}\implies 1\frac{5}{7}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%205%2B2%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B12%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B7%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%201%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Cimplies%201%5Cfrac%7B5%7D%7B7%7D)
Answer: y= -x + 7
Solution:
Step 1 : find the slope using the equation using the pair of coordinates that are given i.e A (−7,14) B (−21,28) ( name them A and B respectively so they can be easily named as x1, y1 and x2,y2 respectively)
m = y2-y1/x2-x1
m = 28-14 / -21 -( -7)
m = 14 / -14
m = -1
Step 2 : Find the y intercept using the line of equation (use and one of the given coordinates either A or B)
Using A ( -7, 14)
y= mx+ b
14 = (-1)(-7) + b
14= 7 + b
14-7 = b
7 =b
So,
y=mx+b
Insert m and b
y= -x + 7
Peter piper picked a pepper
Answer:
2/5
Step-by-step explanation:
Good luck!
Answer:
- See attachment for table values
- y₁ = y₂ for x = 6
Step-by-step explanation:
In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.
y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.
For example, for x = 6, we have
... y₁ = 3·6 - 8 = 18 -8 = 10
... y₂ = 0.5·6 +7 = 3 +7 = 10
That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation
... y₁ = y₂
is
... x = 6.