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3 years ago

(PICTURE ATTACHED) please help

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

Answer:

Step-by-step explanation:

9,460,528,400,000,000 can be rounded off to

9,000,000,000,000,000.

A trick you can use for these questions is count the number of zeroes at the end.

There are 15 zeroes, hence the answer is

$9 \times 1 {0}^{15}$

Proof:

$1 {0}^{2} = 100$

$1 {0}^{3} = 1000$

Hence, the number of zeroes is equal to the exponent.

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Bart budgeted $285.75 each month for utilities. His utility bills this month were $130.50 for electric, and $240 for gas. How mu

iren2701 [21]

Answer:

$84.75 over budget

Step-by-step explanation:

Barts' budget is 285.75

Bills: 240 + 130.50 = $370.50

(subract by his budget)

370.5 - 285.75 = $84.74

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3 years ago

At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%

aleksandr82 [10.1K]

Answer:

63% of all undergraduates receive at least one grant or scholarship.

Step-by-step explanation:

Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.

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3 years ago

Which of the following is a true statement about perfect squares?

gavmur [86]

Answer:

8x8=16

13x13=2(13)

Step-by-step explanation:

3 0

3 years ago

Factory A can produce 45 machines in 20 minutes. Factory B can produce 30 machines in 15 minutes. If both factories produce mach

ElenaW [278]

Factory A can produce more machines. 30 more wil be more produced

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3 years ago

What is the range of f(x) = 3/4x -4

shusha [124]

Answer:

The range is the resulting y-values we get after substituting all the possible x-values.

For the given function : $f(x) = \frac{3}{4x} -4$

See the attached figure.

The zeros of the denominator at x = 0

The domain is: (-∞,0)∪(0,∞)

The range of the function is the domain of the inverse function of f(x)

y = 3/(4x) - 4

y + 4 = 3/(4x)

4x = 3/(y+4)

$x=\frac{3}{4(y+4)}$

The zeros of the inverse function:

4(y+4) = 0

y + 4 = 0

y = -4

∴ The range is (-∞,-4)∪(-4,∞)

So, the answer is {y | y > –4} ∪ {y | y < – 4}

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

Note: If the given function is : $f(x) = \frac{3}{4} x-4$

It will be first degree polynomial function.

Both of the domain and the range = all real numbers R

4 0

4 years ago