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Nuetrik [128]
3 years ago
11

You go to Giant to buy some candy. You decide to buy snickers because they have a special deal on snickers. A pound of snickers

costs $3.45, but if you buy 4 or more pounds, they only cost $3.00per bag. Write a piecewise function to represent this situation.​
Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

y = x*$3.45 if   0 ≤ x < 4

y = x*$3.00 if   4 ≤ x

Step-by-step explanation:

A piecewise function is a function that behaves differently in diferent intervals of it's domain.

We know that 1lb of candy costs $3.45

But if you buy 4 lb or more, the cost of each lb is $3.00

Then if x represents the number of pounds of candy that you buy, we have the equation:

y = x*$3.45     if     0 ≤ x < 4

y = x*$3.00     if     4 ≤ x

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Determine which of the indicated column vectors are eigenvectors of the given matrix
gladu [14]
]Eigenvectors are found by the equation (A-\lambda I) \vec{v} = 0$ implying that \det(A-\lambda I) = 0. We then can write:

A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ] 

And:

\det(A-\lambda I) = (4-\lambda)(1-\lambda) - 10 = 0 

Gives us the characteristic polynomial:

\lambda^2 - 5 \lambda -6 = 0 \implies \lambda_1 = -1, \lambda_2 = 6

So, solving for each eigenvector subspace:

\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]

Gives us the system of equations:

4x + 2y = -x \newline 5x + y = - y 

Producing the subspace along the line y = -\frac{5}{2} x

We can see then that 3 is the answer. 



7 0
3 years ago
<img src="https://tex.z-dn.net/?f=26%20-%202%2810%20-%201%29%20%2B%20%283%20%2B%204%20%5Ctimes%2011%29" id="TexFormula1" title="
goldfiish [28.3K]

26-2\left(10-1\right)+\left(3+4\cdot 11\right)

26-(2)(9)+3+(4)(11)

26-18+3+(4)(11)

8+3+(4)(11)

8+3+44

8+47

55

"55 is correct answer".

Hope this helps!

Thanks!

-Charlie

5 0
3 years ago
In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m
Olenka [21]

Consider \Delta AOB\cong \Delta BDC.

Given:

\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.

To find:

The length of BC.

Solution:

We have,

\Delta AOB\cong \Delta BDC

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

AB=BC                   (CPCTC)

5\ m=BC

The length of BC is 5 m. Therefore, the correct option is A.

5 0
3 years ago
HELP ASAP <br> What is the slope of the line on the graph?
ollegr [7]
The slope of this line is -1/6.  

2 Point:     (6,2)         (-6,6)
                   x₁ y₁         x₂ y₂
       

Remember: 
  
    rise          change in y          y₂ - y₁          6 - 2            4
 ---------- =  ------------------- = ------------- = ----------- = ----------
    run            change in x         x₂ - x₁         -6 - 6          -12


Simplify 4/-12

     4 ÷ 4             1
  -------      = ------------- = -1/3
   -12 ÷ 4          -3

The slope of the line is -1/3.






3 0
3 years ago
Ratios equivalent to 16:12
Artyom0805 [142]

Answer:

\frac{16}{12} equivalent to \frac{ 4}{3}

Step-by-step explanation:

Given ratio, \frac{16}{12}

It can be written as \frac{16}{12}=\frac{4 \times 4}{4 \times 3}

cancel common factor,

\frac{16}{12}=\frac{ 4}{3}

4 0
3 years ago
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