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Vlad [161]
2 years ago
8

Jack gives half of his baseball card collection to Bobby. He then loses 5 of his remaining cards. He now has 13 baseball cards.

How many cards did he start with?
Mathematics
1 answer:
victus00 [196]2 years ago
4 0
The solution for this task is: 13+5=18 18*2=36
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HELP!!! PLEASE!!!!
Makovka662 [10]

Answer:

  • y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (<em>Writing it out is important</em>):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a <u>systems of equations</u> using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

<u><em>c = 7</em></u>

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b +  (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that <u>c = 7</u>, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0
3 years ago
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zloy xaker [14]

Answer:

1.555711807*10^10

Step-by-step explanation:

4 0
3 years ago
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I need this equation solved
goldfiish [28.3K]

Answer:

28

Step-by-step explanation:

similar triangles are proportional

and add all the sides of the bigger triangle

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s
sladkih [1.3K]

Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.

<h3>What is the volume of a cone?</h3>


The volume of a cone of <u>radius r and height h</u> is given by:

V = 1/3 x r² x h

In this problem, the radius and the height are given as follows:

r = 3.5 cm, h = 7 cm.

Hence the total volume is:

V = 1/3 x 3.5² x 7 = 28.6 cm³

The triathletes sloshed out 1/3 of that, hence:

1/3 x 28.6 = 9.5 cm³.

More can be learned about the volume of a cone at brainly.com/question/14281550

#SPJ1

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2 years ago
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