Answer:
the vertex is ( 3 , 3)
Symetric axis‘s equation: x = 3
Step-by-step explanation:
Let‘s name the function ” f ”
f(x) = y = 2x² - 12x + 21
the vertex has coordinates of ( -b/2a , f(-b/2a) )
-b/2a = 12/2(2) = 12/4 = 3
f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3
then the vertex is ( 3 , 3)
the symetric axis has the equation :
x = -b/2a
then
Let us say that:
a = ones
b = fives
c = twenties
So that the total money is:
1 * a + 5 * b + 20 * c = 229
=> a + 5b + 20c = 229 -->
eqtn 1
We are also given that:
c = a – 5 -->
eqtn 2
a + b + c = 30 -->
eqtn 3
Rewriting eqtn 3 in terms of b:
b = 30 – a – c
Plugging in eqtn 2 into this:
b = 30 – a – (a – 5)
b = 35 – 2a -->
eqtn 4
Plugging in eqtn 2 and 4 into eqtn 1:
a + 5(35 – 2a) + 20(a – 5) = 229
a + 175 – 10a + 20a – 100 = 229
11a = 154
a = 14
So,
b = 35 – 2a = 7
c = a – 5 = 9
Therefore there are 14 ones, 7 fives, and 9 twenties.
explaining
Algebra
Simplify (2x^2)(4x^3y^2)
(2x2)(4x3y2)(2x2)(4x3y2)
Multiply x2x2 by x3x3 by adding the exponents.
Tap for more steps...
2x5(4y2)2x5(4y2)
Rewrite using the commutative property of multiplication.
2⋅4(x5y2)2⋅4(x5y2)
Multiply 22 by 44.
8x5y2
Answer:
a(5
b)30
Step-by-step explanation:
in the first one you divide 25 by 5
in the second one you multiply 6 times 5
One because if you put two then the would be 50 and thats over 41
