Answer:
3.56*10^13
Step-by-step explanation:
8.9* 10^4 * 4*10^8
Multiply the number out front and then the exponents
8.9 * 4 * 10^4 * 10^8
When we multiply powers when the bases are the same, we add the exponents
35.6 * 10^(4+8)
35.6 *10^12
But this is not in proper scientific notation. Only one digit before the decimal
Move the decimal one place to the left, that means we need to add 1 to the exponent
3.56 *10^(12+1)
3.56 * 10^13
Answer:
36 Teachers in Total
Step-by-step explanation:
I would use Ratio.
Students: 128 + 121 + 135 = 384 total students
Teachers: Students
3 : 32
36 : 384
384 ÷ 32 = 12
12 x 3 = 36
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Given
9x + 3y = 12
We require to rearrange expressing y in terms of x
Subtract 9x from both sides
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4
Expressed in functional notation by replacing y by f(x), that is
f(x) = - 3x + 4
I believe the answer is B for this question
Answer:
The value of (f/g) (8) = -169
Step-by-step explanation:
<u>Step 1: explaining the question</u>
The quotient (f/g) is not defined at values of x ⇒ both the functions must be defined at a point for the combination to be defined.
⇒(f/g)(x) =(f(x)) / (g(x))
If f(x)= 3-2 and g(x)=1/x+5
⇒then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))
⇒(f/g)(8) = f(8) / g(8)
to solve this we have to find the value of both f(8) and g(8)
<u>Step 2: find value of f(8) and g(8)</u>
⇒ we know that f(x) = 3-2x and we know dat f(x) = f(8)
⇒ f(8) = 3-2(8)
f(8) = 3-16 = -13
⇒we know that g(x) = 1/x+5 and g(x) = g(8)
⇒ g(8) = 1/8+5
g(8) =1/13
These 2 equations we will insert in the following : ⇒(f/g)(8) = f(8) / g(8)
⇒ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169
The value of (f/g) (8) = -169
