Answer:
C
Step-by-step explanation:
We are given that:
And we want to find:
Therefore, we will substitute the equation for g(x) for the <em>x</em> in f(x). This yields:
Simplify:
Hence, our answer is C.
Answer:
{12, 16}
Step-by-step explanation:
The difference of two <em>numbers (x and y)</em> is 4. Thus, if y is the larger, then y - x = 4. Also, y = 2x - 8.
So we need to solve the system of linear equations
y - x = 4
y = 2x - 8
Subbing 2x - 8 for y, in the first equation, we get (2x - 8) - x = 4, or
x - 8 = 4, and conclude that x = 12. Then, because y - x = 4, y must be 16.
The numbers are 12 and 16.
Answer:
C
Step-by-step explanation: The standard form of an exponential equation is
where a is the vertical dilation, h is the horinzontial translation, and k is the vertical translation.
Lets go through these options step by step.
A. In an exponetial equation, when k>1, the graph is translated upwards vertically. However, k could still be positive and doesn't be the shape of the picture of the graph always.
Plus our exponential function has an horinzontial asymptote at y=-4 so k here is negative, not positive.
B. When a<0, the graph end behavior changes. When a>1, the right side of the graph approaches infinity while the left side approaches an asymptote. However, when a<0, the graph could be two things. One ( when a< -1) could be that the right side approaches negative infinity, and the left side approaches asymptote. The other could be that (when -1<a<0) that the right side approaches an asymptote and the left side approaches negative infinity. In this function, this models a traditional exponetial function, when a is greater than 1 so B/D is Wrong.
C is correct, when a>1, the end behavior for the right side is infinity, and for the left side is some asymptote.
Answer:
no
Step-by-step explanation:
By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.
Answer:
The answer i believe is y=-10/3 - 4x/3
Step-by-step explanation: