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vagabundo [1.1K]
2 years ago
11

When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than 1/3 the total number of gues

ts. Which graph represents this scenario?

Mathematics
2 answers:
LekaFEV [45]2 years ago
8 0

Answer:

4th graph

Step-by-step explanation:

ehidna [41]2 years ago
5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the total number of guests

y -----> the amount of meat

we know that

The inequality that represent this situation is equal to

y\geq \frac{1}{3}x-2

Note The inequality is "greater than or equal" because the given statement say "at least"

The solution of this inequality is the shaded area above the solid line y=\frac{1}{3}x-2

The slope of the solid line is positive

The y-intercept of the solid line is -2  

The x-intercept of the solid line is 6

therefore

The graph in the attached figure

Remember that

The values of x an y cannot be a negative number

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5 0
2 years ago
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Now evaluate f(x) = 2x4 - 4x3-11x2+3x-6 for x=-2 f (-2) =
bija089 [108]
f(x)=2x^4-4x^3-11x^2+3x-6\\\\f(-2)=2\cdot(-2)^4-4\cdot(-2)^3-11\cdot(-2)^2+3\cdot(-2)-6\\\\f(-2)=2\cdot16-4\cdot(-8)-11\cdot4+3\cdot(-2)-6\\\\f(-2)=32+32-44-6-6=8
4 0
2 years ago
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Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4
Tema [17]
Let's call Tacos t and Enchiladas e. 
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
Thus the equations would be. 
2t + 3e = 9.00
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4 0
2 years ago
Two friends decide to go on a four hour ride on off road vehicles through mountainous terrain the graph represents their elevati
Aleksandr-060686 [28]

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.

Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

plato answer

Step-by-step explanation:

8 0
2 years ago
Which shows a recursive and an explicit formula for a sequence whose initial term is 14 and whose common difference is −4? A. A(
liberstina [14]

Answer: A. A(1) = 14; A(n) = (n − 1) −4; A(n) = 14 + (n − 1)(−4)

Step-by-step explanation:

Arithmetic sequence is a sequence that is identified by their common difference. Let a be the first term, n be the number of terms and d be the common difference.

For an arithmetic sequence, common difference 'd' is added to the preceding term to get its succeeding term. For example if a is the first term of a sequence, second term will be a+d, third term will give a+d+d and so on to generate sequence of the form,

a, a+d, a+3d, a+4d...

Notice that each new term keep increasing by a common difference 'd'

The nth term of the sequence Tn will therefore give Tn = a+(n-1)d

If the initial (first) term is 14 and common difference is -4, the nth of the sequence will be gotten by substituting a = 14 and d = -4 in the general formula to give;

Tn = 14+(n-1)-4 (which gives the required answer)

Tn = 14-4n+4

Tn = 18-4n

5 0
2 years ago
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