$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1}{~~y^{-\frac{1}{4}}~~}\implies y^{\frac{1}{4}}$

7 0

3 years ago

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the parabola. y=x^2+4x+1

Kamila [148]

Vertex: (-2,-3)
axis of symmetry: x=-2
min: (-2,-3)
max: no max because it is a parabola tht opens up
Range: y > or equal to -3

3 0

3 years ago

Help !!!! Match the written mathematical operation to the equivalent symbolic form

Burka [1]

Answer:

The matched pairs are:

(A, 4), (B, 1), (C, 2) and (D, 3)

Step-by-step explanation:

The complete question is:

Match each description of an algebraic expression with the symbolic form of that expression :

A. 2 terms; variables = x and y

B. 3 terms; variables = x and y; constant = 3

C. 2 terms; variable = x; constant = 4.5

D. 3 terms; variables = x and y; constant = 2

1. x - 2y + 3

2. 4.5 - 2x

3. 4.5x + 2 - 3y

4. 4.5y - 2x

Solution:

A. 2 terms; variables = x and y ⇒ 4. 4.5y - 2x

B. 3 terms; variables = x and y; constant = 3 ⇒ 1. x - 2y + 3

C. 2 terms; variable = x; constant = 4.5 ⇒ 2. 4.5 - 2x

D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y

4 0

3 years ago