Please solve and show work
Answers
Answer:
Step-by-step explanation:
9. f(g(-n))
g(-n) = -(n²+5) = -n²-5
f(g(-n)) = 2n+1 (-n²-5 )
2n(-n²-5)+1(-n²-5 )
-2n³-10n-n²-5
-2n³-n²-10n-5
n²(-2n-1) +5(2n-1)
(n²+5)(2n-1)
10. (2x+2)(x³+3)
2x(x³+3)+2(x³+3)
2x⁴ + 2x³ +6x +6
2x³(x+1)+6(x+1)
(2x³+6)(x+1
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Answers
16% .......... 58
100% .......... x
Cross multiply
100*58 = 16x
5800 = 16x
x = 5800/16
x = 362
I hope that's help !
(x + 4)
(3x + 2)
(3x − 2)
(x − 2)
Answers
R = f(c) = 0 = 3x^2 + 4x - 4
Solving for x, we obtain
x = 2/3
x = -2
From the choices the answer is the 3rd option.
Answer:
(3x − 2)
Step-by-step explanation:
Given :
To Find : Select one of the factors of
Solution:
Hence (3x − 2) is one of the factors of
Answers
The requried sum of the interior angle measures of a regular octagon is 1080°.
What is a polygon?
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
The Sum of interior angles of a polygon with n sides is given as,
= (n-2) × 180°
Since an octagon has 8 sides,
So put n = 8
The Sum of interior angles of a octagon = (8-2) × 180°
= 6 × 180° = 1080°
Thus, the requried sum of the interior angle measures of a regular octagon is 1080°.
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Exterior Angle=45
Then, you would subtract 45 from 180, since the exterior angle + the interior angle is equal to 180 degrees.
180-45=135
Exterior Angle=135
Answers
Answers
x+6 - length
x=5 feet
x+6=11 feet
Final answer:
The dimensions of the barn wall are found by setting up and solving a quadratic equation involving its area and the relationship between its length and width. Discarding the nonsensical negative solution, we find that the width of the wall is 5 feet and the length is 11 feet.
Explanation:
Given that the area of the rectangular wall is 55 sq. ft. and the length is 6 ft. longer than the width, we can assign the width as x and the length as x + 6. Therefore, length multiplies width equals to the area of the rectangle, we then have the equation: x * (x + 6) = 55.
After rearranging the equation, we obtain: x² + 6x - 55 = 0. This is a quadratic equation that we can solve using the quadratic formula or by factoring if possible. Factoring results in (x - 5)(x + 11) = 0. Setting each factor equal to zero gives the possible solutions x = 5 and x = -11.
However, since the dimensions of a physical object (in this case, width of the barn wall) cannot be negative, we discard x = -11. Therefore, the barn wall has a width of 5 feet and a length of 5 + 6 = 11 feet.
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