What is the y-intercept for the graph of the equation y=4(3^x) a. (0,8) b. (0,3) c. (0,4) d. (0,12)

ANSWER

C. (0,4)

EXPLANATION

The given graph has equation:

The y-intercept is where the graph touches the y-axis.

At this point the value of x is zero.

We substitute x=0 into the equation to obtain:

Recall that any non-zero number exponent zero is 1.

This implies that,

Hence the y-intercept is (0,4)

The correct answer is C.

the first option is the answer.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)