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poizon [28]
2 years ago
9

How do you multiply monomials with the same base?​

Mathematics
1 answer:
IrinaK [193]2 years ago
3 0

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

<u>Example</u>

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5

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Answer please? ___ feet per second
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Answer: 30 feet per second

========================================

x = diameter, y = speed of water

y varies inversely with respect to x, so, y = k/x for some constant k

If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6

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4 0
3 years ago
Given the functions f(x)=1x−3+1 and g(x)=1x+4+3 .
SVETLANKA909090 [29]

Answer:

The graph shifts 7 units left and 2 units up.

Step-by-step explanation:

In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.

When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.

I learned transformations with these variables:

f(x) = \frac{a}{k(x-c)} + d

"a" - vertical stretch (a > 1) or compression (0 < a < 1)

"k" - horizontal stretch (0 < k < 1) or compression (k > 1)

"c" - translate left (+) or right (-)

"d" - translation up (+) or down (-)

The untranslated graph is centred around the origin f(x) = 1/x

f(x) begins 3 units right and 1 unit up of the untranslated graph.

g(x) is 4 units left and 3 units up of the untranslated graph.

            y

g           |

            |           f

-----------|------------ x

There is a 7 units translation left and 2 units translation up.

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Step-by-step explanation:

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