Answer:
g^-1(x)=1/4x+1/10
Step-by-step explanation:
y=4x-2/5
x=4y-2/5
4y-2/5=x
20y-2=5x
20y=5x+2
y=1/4x+1/10
g^-1(x)=1/4x+1/10
VERTEXTo determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex =

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex =

x vertex =

x vertex =

x vertex = 1
To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49
The vertex is (1, -49)X-INTERCEPTx-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)The answer is first option
A) the answer is A) 0 the answer is 0
The probability of landing on the shaded region of the figure is 0.10
<h3>How to find the probability of landing on the shaded region?</h3>
The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²
area of the smaller region = πr² = 3.14 × 8² = 200.96 cm²
Therefore,
the probability of landing on the shaded region of the figure = 200.96 / 1962.5
the probability of landing on the shaded region of the figure = 0.10
learn more on probability here: brainly.com/question/22200970
#SPJ1
Because both equations are equal to y, you can set the equations equal to each other.
2x+5= x+3
-x -x
x+5=3
-5 -5
x= -2
Then, you can substitute -2 to any equation to find x.
y= (-2)+3 y= 2(-2)+5
y= 1 y= -4+5
y=1
:
x=-2
y=1