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Setler [38]
3 years ago
10

Which is the graph of the linear function that is represented by the equation y = one-half x minus 2?

Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0

Answer:

Its nonlinear

aka answer C

Step-by-step explanation:

AleksAgata [21]3 years ago
4 0

Answer:

Its nonlinear

Step-by-step explanation: because it has a y intersect y=MX+b and b must be 0 for the equation to be linear.

hope this helps

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Your company is introducing a fruit drink packaged in an aluminum box with a square
solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

S=x^2\Rightarrow x=\sqrt{S}

The volume of the box is

V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}

The surface area of the box is

SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}

Equate this derivative to 0:

2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}

So, the dimensions that produce a minimum surface area for this aluminum box are:

x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.

4 0
3 years ago
hayley borrowed $1854 from her parents.She agreed to repay them in equal installments over the next 18 months.How much will Hayl
Illusion [34]


From the information given, she owes her parents a total of $1854.

She will take a period of 18 months to repay the whole loan.

We first find out the how much is each installment per month. 

We divide the whole amount by 18 months so 1854/18 = $103

If she pays 103 dollars per month, then at one year (12 months) she would have paid:  103 × 12 = 1,236 dollars.

She would owe 1854 - 1236 =  618

There she would still be owing her parents  $ 618  after one year.

3 0
4 years ago
Read 2 more answers
Could someone please help me with this??
Nookie1986 [14]

Answer:

no later

Step-by-step explanation:

i am sooooooooooooooooooo busy pls i am pooping but no water come

8 0
3 years ago
Read 2 more answers
What is the area of the rectangle shown on the coordinate plane?
PolarNik [594]

The area of the rectangle is 42 units

The formula for calculating the area of a rectangle is expressed as:

  • A = length * width

From the figure, we will use the formula for calculating the distance between two points as shown:

For the length, we will use the coordinate points (5, 2) and  (2, -1)

Length  = √(-1-2)² + (2-5)²

Length = √9 + 9

Length = √18 = 3√2

Similarly for the width, we will use the coordinate points (5, 2) and  (12, -5)

Width  = √(-5-2)² + (12-5)²

Length = √49 + 49

Length = √98 = 7√2

Area of the rectangle = 3√2 * 7√2

Area of the rectangle = 42 units

Hence the area of the rectangle is 42 units

Learn more on area of rectangle here:brainly.com/question/2607596

7 0
3 years ago
Sage has a total of 8,400 beads to make bracelets.Each bracelet has 14 beads.Sage thinks she can make 60 bracelets using all of
UkoKoshka [18]

Answer:

is 600 bracelets

Step-by-step explanation:

8,400 / 14=600

now im gonna check my answer:

600 x 14= 8,400

3 0
3 years ago
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