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Norma-Jean [14]
1 year ago
13

What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?

Mathematics
1 answer:
CaHeK987 [17]1 year ago
4 0

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}

Step 3: the graph the point

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Which package has a better price a 10 pack of 2.1 ounce bars which costs $15.37 or a 12 pack of 1.4 ounce bars which cause $15.3
jasenka [17]
<span>Find which is a better package between the 2
 10 pack of 2.1 ounce bar = costs 15.37 dollars
=> 2.1 x 20 = 21 there are a total of 21 ounce of bar
=> 21 / 15.37
=> 1.366 dollars / ounce

12 pack of 1.4 ounce bars = costs 15.35
=> 1.4 x 12 = 16.8, there are 1a total of 6.8 ounces of bar
=> 16.8 / 15.35
=> 1.094 dollars / ounce

Thus the second choice is the better package between the two. The 12 pack of 1.4 ounce bars.</span>



8 0
3 years ago
Eduardo spent $34 on a magazine and some candy bars if the magazine cost $6 and each candy bar cost $4 then how many candy bars
tatiyna

Answer: 7 candy bars

Step-by-step explanation:

First we need to subtract the cost of the magazine from the total cost

$34-$6=$28

Now the $28 that remains is the cost of all the candy bars, so if we divide by the price, we will get  the amount.

$28/$4=7 candy bars

7 0
3 years ago
A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for
Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

\implies h=\frac{1}{w^2}

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

= 2\times \frac{1}{w^2}(w+2w)

=\frac{6w}{w^2}

=\frac{6}{w}  

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}

=2w^2+4w^2+\frac{12}{w}

=6w^2+\frac{12}{w}

Differentiating with respect to w,

C'(w) = 12w -\frac{12}{w^2}

Again differentiating with respect to w,

C''(w) = 12 + \frac{24}{w^3}

For maxima or minima,

C'(w) = 0

\implies 12w -\frac{12}{w^2}=0

\implies 12w^3 - 12=0

w^3-1=0\implies w = 1

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0
3 years ago
Consider the following table. Is the relationship proportional? Explain your answer.
SpyIntel [72]

Answer:

No

Step-by-step explanation:

a proportional relationship must have a constant ratio to another quantity.

have a nice day and mark me brainliest! :)

8 0
3 years ago
Read 2 more answers
What is the explicit formula for the sequence?<br><br> −1, 0, 1, 2, 3, . . .
rosijanka [135]
U r adding positive 1
8 0
3 years ago
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