Find two consecutive positive integers such that the square of the first decreased by 17 equals 4 times the second.

Let the first number = x

The second number would be x + 1  ( this makes the two numbers consecutive).

Now you want the square of the first one to decrease by 17, so now you have x^2 -17.

Then you want that to equal 4 times the second number so you now have:

x^2 -17 = 4(*x+1)

Now we can solve for x:

x^2 -17 = 4x +4

Subtract 4x+4 from both sides:

x^2 - 4x -21 = 0

Factor:

(x-7) (x+3) = 0

Solve for the two x's:

x = 7 and x = -3

The problem states the numbers are positive, so -3 cannot be an answer, so we have X = 7

The first number is X , which is 7 and the second number is x +1 which is 7+1 = 8

The two numbers are 7 and 8.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: