Answer:
Shirt #1
x = 63.84 - y - z
Shirt # 2
y = 63.84 - x - z
Shirt # 3
z = 63.84 - x - y
Step-by-step explanation:
First calculate the value of the 3 shirts as follows:
$ 71.83 - $ 7.99 = $ 63.84.
$ 63.84.
The general equation would be, where x is the value of shirt # 1, and the value of shirt # 2 and z is the value of shirt # 3:
x + y + z = 63.84, then for each shirt would be the following equations:
Shirt #1
x = 63.84 - y - z
Shirt # 2
y = 63.84 - x - z
Shirt # 3
z = 63.84 - x - y
For example, if we give values (always the sum of both under 63.84) to two shirts, x = $ 20, y = $ 30 then the value of shirt # 3 would be:
<em>z = 63.84 - 20 - 30 = $ 13.84</em>
Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= - 
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
1. We have to find the fifth term of f(n) = 7 - 4(n - 1).
That means x = 5. Substitute 5 into the equation for x.
f(n) = 7 - 4(5 - 1)
Subtract 5 - 1.
f(n) = 7 - 4(4)
Multiply 4 by 4.
f(n) = 7 - 16
Subtract 16 from 7.
f(n) = -9
The answer is D.
2. Since we have to find the first 4 terms, we have to solve for x = 1, 2, 3, & 4.
Multiply 1, 2, 3, and 4 by 6. We now have:
f(x) = 6 - 25 f(x) = 12 - 25 f(x) = 18 - 25 f(x) = 24 - 25
Subtract 25 from the first term: 6, 12, 18, and 24.
f(x) = -19 f(x) = -13 f(x) = -7 f(x) = -1
The answer is C.
3. Now, we have to find the first 3 terms of f(x) = 10(2)^x. So x is 1, 2, & 3.
Raise 2 to the powers of 1, 2, and 3. The equations are now:
f(x) = 10(2) f(x) = 10(4) f(x) = 10(8)
Then multiply 10 by the three terms: 2, 4, and 8.
f(x) = 20 f(x) = 40 f(x) = 80
The answer is A.
4. Find the 21st term of f(n) = 2 + 9(n - 1). Substitute 21 for n.
f(n) = 2 + 9(21 - 1)
Subtract 1 from 21.
f(n) = 2 + 9(20)
Multiply 9 by 20.
f(n) = 2 + 180
Add 2 to 180.
f(n) = 182
The answer is B.
5. Which sequence is described by f(n) = 2(3)^x-5.
This is the only one which I'm not sure how to solve. Since I don't know, I won't answer it because I don't want to give you the wrong answer to the question, sorry about that.
6. The ninth term in f(n) = 384(1/2)^n-1. Put 9 in for n & subtract 1 from 9.
f(n) = 384(1/2)^8
Raise 1/2 to the power of 8.
f(n) = 384(1/256)
Multiply 1/256 by 384.
f(n) = 384/256
Reduce the fraction & make it a mixed number.
f(n) = 1 1/2
Hope this helped!
Answer:
The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.
Step-by-step explanation:
A complex number has a real and an imaginary part
is a complex number
A complex number is represented as:
Where:
<em />
<em> real</em>
<em />
<em> imaginary</em>
<em />
By comparing the options to ;
and 
are not complex numbers
This is so because they do not have imaginary parts
However,
is a complex number
Because; 9i is imaginary
Read more about complex numbers at:
brainly.com/question/19007885
