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2 years ago

Perform the following calculations without rewriting the numbers in decimal form.

Mathematics

1 answer:

Bingel [31]2 years ago

6 0

Answer:

After multiplication number will be $3.408\times \times 10^{28}$

Step-by-step explanation:

We have given numbers which has to multiply using scientific notation

That are $1.42\times 10^{15}\times 2.4\times 10^{13}$

We have to multiply the above number using scientific notation

We know that when two number are multiplied then there exponent power is being added

So when we multiply $1.42\times 10^{15}\times 2.4\times 10^{13}$ there power will be added and after multiplication number will be $3.408\times \times 10^{28}$

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At the ice cream shoppe ,one banana split and five milkshakes cost $16.24.If three banana splits and two milkshakes cost $15.05,

34kurt

Answer: the cost of a milkshake is $2.59

Step-by-step explanation:

Let x represent the cost of a banana split.

Let y represent the cost of a milkshake.

At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as

x + 5y = 16.24- - - - - - - - - - - - -1

If three banana splits and two milkshakes cost $15.05. This is expressed as

3x + 2y = 15.05- - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 1, it becomes

3x + 15y = 48.72

3x + 2y = 15.05

Subtracting, it becomes

13y = 33.67

y = 33.67/13

y = 2.59

Substituting y = 2.59 into equation 1, it becomes

x + 5 × 2.59 = 16.24

x + 12.95 = 16.24

x = 16.24 - 12.95

x = 3.29

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3 years ago

What 3 digits are in the units period of 4,083,817

insens350 [35]

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2 years ago

What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Sergio [31]

Answer:

$g(x) = 2x^2 - 3x - 1$

Step-by-step explanation:

Given

$f(x) = 2x^2 + 3x - 1$

Required

Determine g(x), if f(x) is reflected across the y axis

When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).

In other words,

$g(x) = f(-x)$

Calculating f(-x)

$f(-x) = 2(-x)^2 + 3(-x) - 1$

$f(-x) = 2x^2 - 3x - 1$

Substitute g(x) for f(-x)

$g(x) = 2x^2 - 3x - 1$

Hence;

$g(x) = 2x^2 - 3x - 1$

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