Solve. x2 – 2x – 35 = 0 Do you know the answer

x=7     x=-5

Step-by-step explanation:

x^2 – 2x – 35 = 0

Factor

What two numbers multiply to -35 and add to -2

-7*5 = -35

-7+5 = -2

(x-7) (x+5 ) =0

Using the zero product property

x-7 =0   x+5 =0

x=7     x=-5

{7,-5}

Step-by-step explanation: To solve the equation x² - 2x - 45 = 0, factor the left side of the equation to get (x - 7)(x + 5).

To factor x² - 2x - 35, look for factors of -35 that that add to -2.

These factors are -7 and 5.

So now we have (x - 7)(x + 5) = 0.

So either x - 7 = 0 or x + 5 = 0.

Solving for x in each equation, our answer is {7,-5}.

f(x) = y

f(-3) = -5

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.