<span>2x - 3y - z
Substitute the variables for the numbers provided for them
</span><span>2(-2) - 3(3) - (-2)
Multiply 2 by -2
-4 - 3(3) - (-2)
Multiply -3 by 3
-4 - 9 - (-2)
Subtract 9 from -4
-13 - (-2)
Convert Subtract -2 from -13. It would be the same as adding 2 to -13.
Final Answer: -11</span>
Answer:
4
Step-by-step explanation:
Answer:
The inequality equation is 12 ≤ 2x + 3y
Step-by-step explanation:
Protein in a cheese square = 2 grams
Protein in a turkey square = 3 grams
And She can eat 12 or more grams of proteins
Let x be the number of cheese squares and y be the number of turkey squares that she eats.
So, we can write an inequality equation, that describes the given situation in the problem.
i.e. 2x + 3y ≥ 12 or 12 ≤ 2x + 3y
So the inequality equation is 12 ≤ 2x + 3y
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Graph A is a linear function, while Graph B is an exponential funtion.