Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;

Let a = (7,5) and b = (-5,4);
The above formula becomes



Hence, the dot product of (7,5) and (-5,4) is -15
change each mixed number to an improper fraction
33 1/2 = (2*33 +1)/2 67/2
1 1/4 = (4*1+1)/4 = 5/4
67/2 divided by 5/4
copy dot flip
67/2 * 4/5
268/10
26 8/10
26 4/5 miles per gallon
Let 2x – y = 3 ——— equation 1
Let x + 5y = 14 ——— equation 2
Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3
• Put eqn 3 in eqn 2
(y + 3 / 2) + 5y = 14
6y = 14 – 3/2
6y = 25/2
y = 25/12
• put y = 25/12 in eqn 3
x = (25/12 + 3/2)
x = 43/12
Answer/Step-by-step explanation:
To Find the best price divided each
Kroger → 1.52/4=0.38
Publix → 175/5=35
Ingles → 1.02/3=0.34
Walmart → 2.46/6=0.41
Base on the data we can tell that Ingles have the best price.
A = 7 and x = -5
-a + 3x = -(7) + 3(-5) = -7 -15 = -22
Answer: -22