The function is:
f ( x ) = x² - x - 72
This is a quatdratic function. So we can find the zeroes of the function with the formula:
x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )
And we have: a = 1, b = - 1 and c = - 72
x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2
x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2
x 1/2 = ( 1 +/- √289 ) / 2
x 1/2 = ( 1 +/- 17 ) / 2
x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8
x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9
Answer: The zeroes are - 8 and 9.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Using Cramer's rule, the value of x is ...
x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10
x = 7
To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:
m = (5-1)/(4-2) = 4/2 = 2
Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.
Hope this helps!
The unit rate for Hakim's car is traveling 30 feet per second (I just simplified 600/20). Then the unit rate for Andre's motorcycle would be 25 feet per second (I simplified 300/12). So in conclusion, Hakim's car is traveling faster. So then, 30 > 25.
Answer:
1) 35+5w=110
2) the starting heart rate is 73 beats per minute
3)B
4) 6mins
Step-by-step explanation:
1) since she deposits 5 dollars each week we can multiply 5 and w to find out how much money hes depositing after all the weeks are done. We need to add that with 35 to get the TOTAL money in the bank account.
2) 73 is the y intercept. The y intercept is the number when "x" is 0. So when hes just starting out/not excersizing his heart beats 73 beats per min.
3) we know that 10% of her tips is given back to her hence x(number of tips) is multiplied by 0.1, and added to 50 to find the total amount of money she receives
4) 6 mins for 1 order
