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Kitty [74]
3 years ago
6

Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0

Answer:

3.6 × 10^9

Step-by-step explanation:

When multipliying two numbers in scientific notation, the exponents in the factor of 10 will be added when the two expressions are multiplied.

Thus (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19) = ( 1.2 × 3 )

( 10^28 × 10^-19 ) = 3.6 × 10^(28-19) = 3.6 × 10^9

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This is about interpretation of quadratic equation graphs.

<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>

<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>

<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>

  • We are given;

a) f(x) = (x+3)(x-4)

Let us confirm the x-intercept.

x-intercept here is when y = 0.

Thus, at y = 0; x + 3 = 0 and x - 4 = 0

Thus, at y = 0; x = -3 and y = 4

  • Let's now find the y-intercept;

y-intercept occurs when x = 0

Thus; y - intercept = (0 + 3)(0 - 4)

y - intercept = -12

  • Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.

  • This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)

Read more at; brainly.in/question/18896888

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