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maw [93]
3 years ago
8

Please help!!! asap

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer: y = x^2 + 6x+ 9 = 0. (X+3)^2= 0 when x=3. This has one root.

X^2-2x -24 = 0 a= 1 b=-1 and c= -24 x = {-(-1) +/- sqrt((-1)^2 -4 x 1 x (-24)}/2

X = [1 +/- sqrt(97)]/2

Step-by-step explanation:

You might be interested in
Write the equation of the line that passes through the points (- 5, 1) and (2, 0) . Put your answer in fully reduced slope inter
Doss [256]

Answer:

y=-1/7x + 12/7

Step-by-step explanation:

Start by finding the slope

m=(1-0)/(-5-2)

m=-1/7

next plug the slope and the point (-5,1) into point slope formula

y-y1=m(x-x1)

y1=1

x1= -5

m=-1/7

y- 1 = -1/7(x - -5)

y-1=-1/7(x+5)

Distribute -1/7 first

y- 1=-1/7x + 5/7

Add 1 on both sides, but since its a fraction add 7/7

y=-1/7x + (5/7+7/7)

y=-1/7x+12/7

3 0
2 years ago
An air conditioning technician charged Robert $77.25 to repair his air conditioning system after 3 hours of work. The technician
agasfer [191]

Answer:B

Step-by-step explanation:

He charged the man $25.75 for each hour and he worked for 3 hours so multiply $25.75 x 3 = $77.25

5 0
2 years ago
Evaluate the following expression<br> 1/5^-2
Kitty [74]

Answer:

25

Step-by-step explanation:

If (1/5)^2 equals 1/25, then (1/5)^-2 should be the opposite.

(1/5)^-2 equals 25

6 0
2 years ago
Find the critical numbers of the function f(x) = x6(x − 1)5 what does the first derivative test tell you that the second derivat
patriot [66]
The given function is f(x) = x⁶(x-1)⁵

The first derivative is
f'(x) = 6x⁵(x-1)⁵ + 5x⁶(x-1)⁴
       = x⁵(x-1)⁴(6x - 6 + 5x)
       = x⁵(x-1)⁴(11x - 6)
The critical values are the zeros of f'(x). They are
x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
f''(x) = 4(x-1)³(11x⁶ - 6x⁵) + (x-1)⁴(66x⁵ - 30x⁴)
        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
        = 10x⁴(x-1)³(11x² - 12x + 3)
The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
f''(6/11) > 0, therefore a local minumum exists at x = 6/11.
f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
Sierra’s book has 200 pages. If she reads 20% of her, she will have read 40 pages. If Sierra has read 120 pages of her 200 pages
marysya [2.9K]

Answer:

60%

Step-by-step explanation:

Multiply 40 by 3 and you get 120 so then you multiply 20% by 3 and get 60%

5 0
2 years ago
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