Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement
''The sum of two and number is less than five''.
Let us breakdown the statement.
- The sum of two and number = 2 + n
We know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
Let us solve the algebraic expression.
Subtract 2 from both sides
Simplify
Thus, the solution is:
Please also check the attached solution line graph.
Answer:
Taco supreme is 1230 calories
Pan pizza is 1310 calories
Step-by-step explanation:
Let's denote taco supreme as T and pan pizza az P. We have:
T+2*P = 3850 and 2*T + P = 3770
If we add the equations we get 3*T+3*P = 7620
3*(T+P) = 7620
T+P = 2540 => we can use T=2540-P
Back to one of the first equations we get 2540-P+2*P=3850
P=3850-2540= 1310
=>T= 2540-1310= 1230
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R
<span>(DOS= difference of two squares, PST=perfect square trinomial </span>
<span>Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.</span>
