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Sav [38]
3 years ago
6

PLEASE HELP!!! ANYONE???

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0
We can eliminate choice C because our parabola is not upside down.  The way I determined which one it was was by picking a point on the graph and testing the x value of the point in the equation.  If the y value on the graph was the same as the y value on my calculator, then I chose the right one.  Let me give you an example of what doesn't work first.  Let's pick (3, 2) from the graph.  Let's test that point in choice D.  Filling in x = 3, y should = 2 if that's the right equation.  \frac{1}{2}(3^2)-3+2= \frac{7}{2}.  Our y coordinate is not 7/2, it's 2.  Let's try A: \frac{1}{3}(3^2)-3-2=-2.  Again, our y value is 2, not -2.  Let's try B: \frac{1}{3}(3^2)-3+2=2.  See how that works?  Your choice is B.
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Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her
Whitepunk [10]

The cost of each option is given by the total amount required to obtain

the volume of water Janine drinks in a year.

Responses:

  • The cheapest option is the <u>faucet-mounted water filter</u>
  • The cheapest option saves her <u>$79.11 </u>over a year

<h3>How are the different options evaluated?</h3>

Number of bottles of water Janine drinks in a day = 3 bottles

Volume of a bottle = 16.9 ounces

Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5

Volume of water Janine drinks in a year = 18,505.5 ounces

Volume of water = 18,505.5 ounces = 547.273 liters

The cost of 24-packs of 16.9 ounces bottles = $3.29

Number of packs she will buy in a year is therefore;

Number \ of \ packs= \dfrac{3 \times 365}{24} = \mathbf{45.625}

Cost per year = 45.625 × $3.29 ≈ $150.11

The cost of a reusable bottle = $10

Cost of each option to filter 547.723 liters of water.

Total cost of a faucet mounted filter = $10 + $28 + $33 = $71.00

Total cost using the water filter = $10 + $22 + 2 × $20 = $72

The cost of using the under sink filter = $10 +  $130 = $140

Therefore;

  • The cheapest option over one year is the <u>faucet-mounted filter</u>
  • The amount saved over one year = $150.11 - $71.0 = <u>$79.11</u>

Learn more about total cost here:

brainly.com/question/25331750

8 0
2 years ago
The volume of a sphere is 2145 cubic centimeters. What is the approximate diameter of this sphere?
eimsori [14]

Answer:

d = 2(40.11 cm) = 80.22 cm

Step-by-step explanation:

The formula for volume of a sphere is V = (4/3)πr³

and here V = (4/3)πr³ = 2145 cm³

Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:

(3/4)(4/3)πr³ = (3/4)2145 cm³, or

                 r³ = 1608.75 cm³

Taking the cube root of both sides, we get:

                  r = 40.11 cm

Remembering that diameter = 2 times radius, we calculate the diameter:

                  d = 2(40.11 cm) = 80.22 cm

6 0
4 years ago
a rabbit can run 35 miles per hour. a fox run can run 21 miles in half an hour.which animal is faster,and by how much
lord [1]

Answer:

the rabbit by 14 miles per hour

Step-by-step explanation:

The rabbit because if you subtract 35 from 21 it gives you 14

6 0
4 years ago
Read 2 more answers
Given two linear equations: y=3x+3 and y=-3x-5. Select all or one that apply.
sergejj [24]

Answer:

D

Step-by-step explanation:

We have the two linear equations:

\text{ Line 1: }y=3x+3

\text{ Line 2: }y=-3x-5

And we want to determine the relationship between them.

Let's go through each of the answer choices.

Parallel?

Remember that parallel lines have the same slopes.

The slope of Line 1 is 3, while the slope is Line 2 is -3.

Since they have different slopes, they are not parallel.

Perpendicular?

Perpendicular lines have slopes who are negative reciprocals of each other.

For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.

The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is <em>not</em> the slope of Line 2.

We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.

So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.

Both?

No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.

[N]either?

Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.

And we're done!

3 0
4 years ago
How to write a mixed number in simplest form.
Xelga [282]
For example,
write 3 5/4 in simplest form.
3*4+5=12+5=17
17/4 is in simplest form. 
7 0
3 years ago
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