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Pavel [41]
2 years ago
6

What does this multiple by 38 , 51 , 64 , 77 , 90

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

It's an arithmetic sequence. Instead of multiplying, you're adding 13. The answer is Tn=13n+25

Step-by-step explanation:

If you minus 38 from 51 (51-38), you get 13 and this 13 is constant throughout.

It's the same if you do (64-51).

Therefore 13 is our difference, we call it d.

Next you use the formula Tn=a+(n-1)d and substitute.

a is the first term of our sequence therefore it's a=38 and d=13.

We don't know n which is the number of terms.

When we sub its gonna be Tn=38+(n-1)(13)

And then you solve.

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victus00 [196]
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3 years ago
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Simplify the following expression.
Alexandra [31]

Answer:

C: 41x + 16.

Step-by-step explanation:

In order to simplify this, you must distribute the negative sign into the 8x+35. You can get rid of the parentheses for 49x+51 since it serves no purpose.

49x+51-8x-35

Combine like terms:

49x-8x+51-35

41x+16

7 0
4 years ago
A cube has a height of 7 cm. What is the volume of the cube?
WITCHER [35]

Answer:

343

Step-by-step explanation:

if you have a cube, then the volume is one of the sides cubed, or to the third power. 7^3 can be represented as 7*7*7, or 7x7x7, which is 343.

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4 0
3 years ago
Form an equation whose roots are 1/2 and -1/3.
tensa zangetsu [6.8K]
Well a root means that y will equal zero when x is that root number. we are given the roots. So when x = 1/2 or -1/3 then y = 0.

it has to be quadratic with an x^2 since it has 2 roots. So we will write basic formula

y = (x + a) (x + b)

in this basic quadratic the opposite of a and b will be roots. this means negative a and negative b are roots or -a and -b are roots.

so we can fill in our roots for a and b if we want but.remember we.have to use the opposite of.our roots because we.use -a and -b.

so let's fill in our opposite.roots for.a and.b

y = (x + (-1/2)) (x + (-(-1/3)))

since I have two negatives in front of the 1/3 it becomes positive.. So

y = (x - 1/2)(x + 1/3)

this is an equation with those roots. You can multiply it out if necessary.

y = x^2 - 1/6x - 1/6

I think that's what it comes out to.

7 0
3 years ago
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A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $3 per shoe pair for
DerKrebs [107]

Answer:

the function that models the total inventory costs as a function of x is;

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Step-by-step explanation:

Given the data in the question;

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so

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Total Inventory cost = $( \frac{112500}{x} + (\frac{3}{2})x )

Therefore, the function that models the total inventory costs as a function of x is; $( \frac{112500}{x} + (\frac{3}{2})x )

3 0
3 years ago
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