The amount of money Kyle paid is $25.
<h3>Determine the price of nachos and chocolates </h3>
Two simultaneous equations can be derived from the question:
3n + 3c = $45 equation 1
n = 2c equation 2
Where:
- n = price of nachos
- c = price of chocolate
In order to determine the price of chocolates, please substitute for n in equation 1.
3(2c) + 3c = $45
6c + 3c = $45
9c = $45
c = $45/9 = $5
In order to determine the price of nachos, please substitute for c in equation 2:
n = 2($5)
n = $10
<h3>Amount Kyle paid </h3>
2($10) + $5
$20 + $5
= $25
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
Answer:
Step-by-step explanation:
x+2
degree is 1

and has two terms so is a binomial
BA and BD are radii of the circle, so triangle ABD is isosceles. Then angles BDA and BAD are congruent, and the remaining (central) angle ABD has measure

Angles ABD and CBD are supplementary, so

and the answer is E.
Answer:
The only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities.
Step-by-step explanation:
See the graph attached to this question.
The solution of the set of inequalities is given by the shaded region on the graph.
Now, the point (0,5) is outside this shaded region, hence it can not be the solution.
The point (3,0) also is outside this shaded region, hence it can not be the solution.
The point (-3,0) also is outside this shaded region, hence it can not be the solution.
Now, the only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities. (Answer)