F(x) = 2x2 + 5x - 3 Part A: What are the x-intercepts of the graph of f(x)? Show your work factoring and using the Zero
Product Property

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates
of the vertex? Justify your answers and show your work using the vertex formula.

Part C: Identify the point of the y-intercept for f(x).

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained
in Part A, Part B, and Part C to draw the graph. Draw the graph.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

1 and 0

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

answe: it will take 4.5 hours for naomi and clair to paint an equal number of square feet

hope i

-lavira : )