M = (22 - 7)/(8 - 5) = 15/3 = 5
<span>using point (5, 7) </span>
<span>y - 7 = 5(x - 5) in point-slope form </span>
<span>y - 7 = 5x - 25 </span>
<span>y = 5x - 18 in slope-intercept form.</span>
For this case we must find the product of the following expression:
We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So, we have:
We rewrite the 216 as
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then, the expression is:
Answer:
Option D
X-3/8=3/6
Add 3/8 to both sides, to leave the variable alone
X= 3/6-3/8
Use common denominators-8 (3/6 is 1/2)
X= 4/8-3/8
X=1/8
Answer:
70 fries and 35 shakes
Step-by-step explanation:
ASB is selling In-N-Out as a fundraiser. Fries cost $2 and shakes cost $3. Students can only buy one item each. ASB wants to know which sells better but they lose track of what they sold. They know 105 students bought either fries or a shake. They count their money and it’s $245. How many fries (x) and shakes (y) did they sell?
f = fries
s = shakes
To solve this we need to make two equations. Those equations being: f+s = y and 2f+3s = y. Now we will plug in all the values. f + s = 105 and 2f + 3s = 245. Now we will subtract f from 105 to get s. this makes s =105-f. We can then plug this into the other equation making the other equation: 2f+ 3(105-f) = 245. Now we will simplify this to get: 2f + (315 -3f) = 245. When we simplify it further we get: 315-f = 245.Now we will subtract 315 from both sides to get: -f = -70. now divide both sides by -1 and we get f = 70. Now we can plug that into the f+ s = y equation. 70 + s = 105. Subtract 70 from both sides and we have s. S = 35
