Item 10 Compare the graphs. Find the value of $h$ , $k$ , or $a$ .

Two exponential equations are graphed on a coordinate plane. The x-axis ranges from negative 2 to 6. The y-axis ranges from negative 6 to 2. The graph of f of x equals negative 3 to the power of x passes through the ordered pair 0 comma negative 1 and the ordered pair 1 comma negative 3. The graph of g of x equals negative 3 to the power of x minus h, end exponent, passes through the ordered pair 2 comma negative 11 hundredths and the ordered pair 5 comma negative 3.

The graph of $g$ is a horizontal translation
units right of the graph of $f$ ; $h=$

send it over

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.