Solve this expression and answer incorrect scientific notation (8.2E3)(4E5)

Mathematics

1 answer:

Anastaziya [24]3 years ago

6 0

Answer:

$(8.2E3)(4E5)=3.28E9$

Step-by-step explanation:

Given : Expression $(8.2E3)(4E5)$

To find : Solve this expression ?

Solution :

E denotes the power of 10,

$8.2E3=8.2\times 10^3$

$4E5=4\times 10^5$

Substitute in the expression,

$(8.2E3)(4E5)=(8.2\times 10^3)(4\times 10^5)$

$(8.2E3)(4E5)=(8.2\times 4)(10^3\times 10^5)$

$(8.2E3)(4E5)=(32.8)(10^8)$

$(8.2E3)(4E5)=(3.28\times 10^9)$

$(8.2E3)(4E5)=3.28E9$

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If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?

Fittoniya [83]

ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
$y = - \frac{1}{2} x - 7$

The slope of this function is
$m = - \frac{1}{2}$

Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.

For instance, when
$x = - 40$
$y = - \frac{1}{2} ( - 40) - 7$

This implies that,

$y = 20 - 7 = 13$

Options B is obviously not true because the function has a negative relationship between x and y.

Option C is also false because, x can be positive since it is the independent variable.

See graph

Therefore, the correct answer is option D.