The blanks can be filed by exactly, domain, range, and, f(x) respectively.
While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.
You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.
A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.
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Answer:
C 5/13
Step-by-step explanation:
A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:
A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5
B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3
C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction
D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3
Answer:
68
Step-by-step explanation:
Find the vanilla first by dividing 420 by 7 and multiplying the quotient by 2 to get 120.
Then find the banana using the equation 35/100 = x/420, cross multiply to get 147.
Add 120 and 147 to get 267.
Subtract 267 from 420 to get 153.
Divide 153 by 9 to get 17.
Get the number of lemon cakes by multiplying 17 by 4.
The number of lemon cakes is 68!
(and chocolate cakes is 85)
Answer:
nickels = 12
quarters = 9
Step-by-step explanation:
Let number of quarters be "q", and
number of nickels be "n"
Nickels are worth $0.05 and Quarters are worth $0.25
Since all of them are worth 2.85, we can write:
0.25q + 0.05n = 2.85
Also, we know, there are 3 more nickels than quarters, so we can write:
n = 3 + q
Now, we can substitute equation 2 into equation 1 to get:
Now, we solve for q:
There are 9 quarters.
We know n = 3 + q
So,
n = 3 + 9
n = 12
There are 12 nickels
<h2>
Answer: <em>x = 7.5</em></h2>
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Step-by-step explanation:
Use the Pythagorean Theorem ( 
)
The longest side is <em>c = the hypotenuse</em>, and <em>a and b = the other sides</em> of the triangle.
a = 4 First: 
b = x Second: 
c = 8.5 Third: 
Fourth: 
Fifth: x = 7.5
