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Gelneren [198K]
3 years ago
8

Which logorithmic equation is equivalent to the exponential equation below? e^a=60

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

a = ln(60)

Step-by-step explanation:

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Write the equation of a quadratic function who has the vertex of (4,-7)
timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

y=a(x-h)^2+k          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

y=a(x-4)^2+(-7)

y=a(x-4)^2-7

The required equation of the quadratic function is y=a(x-4)^2-7 where, a is a constant.

Putting a=1, we get

y=(1)(x-4)^2-7

y=(x^2-8x+16)-7             [\because (a-b)^2=a^2-2ab+b^2]

y=x^2-8x+9

Therefore, the required quadratic function is y=x^2-8x+9.

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2 years ago
The larger of two numbers is 33 more than the smaller. When added together, the sum of the larger number and five times the smal
VARVARA [1.3K]

Step-by-step explanation:

let the larger number be x and smaller number be y

according to this question

x=y+33----------(1)

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6y+33=129

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x=16+33(takimg equation (1)

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3 years ago
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Dominik [7]

The multiplication of −2(−5)(−3) is -30

The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.

From the given question, we are to multiply:

= - 2 × (-5) × (-3)

= +10 × (-3)

= -30

Learn more about the multiplication of numbers here:

brainly.com/question/1755985

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