Answer: smaller number is 10 and the bigger number is 65
Step-by-step explanation:
<span>Given, y^2 - 14y = -44
Add 44 to both sides of the equation
</span>y^2 - 14y + 44 = -44 + 44<span>
</span>y^2 - 14y + 44 = 0
Using the quadratic formula x = [-b ± √(b² - 4ac)]/2a
Where,
a = 1
b = -14
c = 44
x = [-b ± √(b² - 4ac)]/2a
x = [-(-14) ± √(-14² - 4(1)(44)]/2(1)
x = [14 ± √(196 - 176)]/2
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 4.472)/2 OR (14 - 4.472)/2
x = 18.472/2 OR 9.528/2
x = 9.236 OR 4.764
The solution set is {9.236, 4.764}
TO EXPRESS THE ANSWER IN RADICALS
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 2√5)/2 OR (14 - 2√5)/2
<span>x = 7+√5 OR 7-√5
</span>
The solution set is {7+√5, 7-√5}
Answer:
The graph of
crosses the x-axis at (1,0) and (-4, 0). It touches the x-axis at (-5, 0).
Step-by-step explanation:
g(x):
.
There are three factors:
- (x - 1), where k = 1,
- (x - (-4)), where k = -4, and
- (x - (-5)), where k = -5.
The first and second factors are raised to odd powers. The graph will cross the x-axis at all these two points:
- (1, 0) as a result of the factor (x - 1),
- (-4, 0) as a result of the factor (x - (-4)).
The third factor is raised to an even power. The graph will touch the x-axis at that point.
- (-5, 0) as a result of the factor (x - (-5)).
Hello! If my calculations are correct, the answer is 19!
Hope this helps! :)
Answer:Step-by-step explanation:
slope is 1
y intercept is 4
equation y= 1x+4