Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:
Next, now that we have the value of y, substitute it into either equation to solve for x:
<u>And this is how you get your final answer (5,2).</u>
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
Answer:
mutiply
Step-by-step explanation:
