The solution of the system of equation is (-7, -2).
<h2>Given</h2>
The system of the equations;
From equation 1
Substitute the value of y in equation 1
The value of x= 2 is rejected because x = 2 not satisfy the equation.
Substitute 2 for the value of x in equation II
y − x = 5
y – 2 = 5
y = 5 +2
y = 7 (x =2, y =7) … Not included in the options
If x = -7
Substitute the value of x = -7 in the equation
Hence, the solution of the system of equation is (-7, -2).
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Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex 
.
The vertex form of a quadratic is 
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare to , you should see that 
.
So the vertex (h,k) is (-4,-7).
Answer:
a. 5 represents the number of calories that come from other ingredients.
b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.
c. <em>c = 5.5</em>
Step-by-step explanation:
We are given the equation:
Where 
represents the grams of carbohydrates
27 is the total number of calories that are received by the granola bite.
4 is the number of calories from 1 gram of carbohydrates and
5 is the number of calories that are received from other ingredients.
Answer of Part a:
5 is the number of calories that are received from other ingredients.
Part b:
Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.
So, LHS becomes:
4 \times 8 + 5 = 37 
4 \times 3 + 5 = 17
So, Priya is correct that neither 8 or 3 could be solution.
Part c:
So, solution to the equation is: <em>c = 5.5</em>
<span>let x be the interval, then:
186 = 50 + 3 + (3+x) + (3+2x) + (3+3x) + (3+4x) + (3+5x) + (3+6x) + (3+7x)
186 = 74 + 28x
x = 4
Eldest son age = 3+7x = 3+28 = 31.</span>
Answer: multiply 4 1/4 by 5 then see if you have enough .
Step-by-step explanation: multiply 4 1/4 by 5 because you have used 1 herb already so if you do that you could have enough in there to pot 5 .
