Sara is completing the square to find the maximum or minimum value of the function f(x) = (2 - x) (5 + x). What is the first step that Sara must take? Does the function have a maximum or minimum value? What is that value?A) multiply the binomials; maximum value;
49
4
B) multiply the binomials; minimum value;
49
4
C) set each factor equal to zero and solve for x; minimum value;
−2
5
D) set each factor equal to zero and solve for x; maximum value;
−7
2
Answers
f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value. The y-coord. is
f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25
I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.
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Answers
The function has a repeated root. We can find this by factorization.
x² - 2x + 1
= x² - x - x + 1
= x (x - 1) - 1(x - 1)
= (x -1)(x - 1)
This can also be checked by finding the discriminant. The discriminant is zero which shows the function has a repeated root.
Answers
Answer: There is 1,000 milligrams in 1 gram.
Answer:
1000mg
Step-by-step explanation:
to be honest that's the obvious answer
and in advance
1kg=1000000mg
1kg=1000g
1g=1000g
Answers
4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
What is Weight?
Gravitational force of attraction on an object, caused by the presence of a massive second object, such as the Earth or Moon.
Given,
Maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height.
beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons.
W = k × w × h²/ L
8 = k × 5 × 2² / 10
8 = k ×20/10
8 = 2 × k
k = 4
The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
w =4 ×6 ×2² / 24
= 24 ×4/ 24
W=4 tons
Hence 4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
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Way: W = k * w * h^2/ L
Answers
Answer:
144 in²
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 1/2 * 16 * 18
area = 144 in²
Final answer:
The area of a triangle with a base of 16 inches and a height of 18 1/8 inches is 145 square inches.
Explanation:
The area of a triangle can be calculated using the formula: Area = 1/2 * base * height. In this case, the given base is 16 inches and the height is 18 1/8 inches.
To calculate: Area = 1/2 * 16 inches * 18 1/8 inches. Because 1/2 of 16 is 8, we can simplify this to Area = 8 inches * 18 1/8 inches.
Now, multiply 8 by 18 1/8 to find the area. The area of the triangle is 145 square inches.
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Answers
Answer:
right angle and congruent
Step-by-step explanation:
Answers
Answer:
For h= 25, b in the plane spanned by a1 and a2
Step-by-step explanation:
we have to find value of h for which b in the plane spanned by a1 and a2.
For this the linear systems given by the following augmented matrix must be consistent.
Reduce the augmented matrix into row echelon form:
For system to be consistent: