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2 years ago

The function h(x)=2x+c has a maximum value of 6 on the interval [0,1]. What is the value of c?

Mathematics

1 answer:

Vesna [10]2 years ago

7 0

Answer:

C. 4

Step-by-step explanation:

Given

Function h(x)=2x+c, this is an increasing function as its slope is positive integer

Value of the function in the interval [0,1] is

x = 0 ⇒ h(0) = 2*0 + c = c
x = 1 ⇒ h(1) = 2*1 + c = 2 + c

Since maximum value of the function is 6, the value of c is achieved at maximum value of x, so:

2 + c = 6
c = 6 -2
c = 4

Correct answer choice is C. 4

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2, -6, 18, __, 162, __, ...

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-54, 162, -486

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3 years ago

Given H(6,7) and I(-7,-6), if point G lies 1/2 of the way along line segment HI, Santiago argues that point G is located at the

irinina [24]

Given the points H(6,7) and I(-7,-6).

If point G lies $\frac{1}{2}$ of the way along line segment HI.

Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.

So, by using the cross section formula we can determine the coordinates of point G.

For the given points say $(x_1, y_1)$ and $(x_2, y_2)$ divided is in the ratio $m_1 : m_2$ , the coordinates are $(\frac{m_1x_2+m_2x_1}{m_1+m_2} , \frac{m_1y_2+m_2y_1}{m_1+m_2} )$

Coordinates G = $(\frac{(1 \times -7)+(1 \times 6)}{2} , \frac{(1 \times -6)+(1 \times 7)}{2})$

= (-0.5 , 0.5)

Hence, the coordinates of G are (-0.5 , 0.5).

So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.

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3 years ago