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wariber [46]
3 years ago
13

I need help i'm really stuck

Mathematics
2 answers:
Ivenika [448]3 years ago
4 0

Answer:

8

Step-by-step explanation:

If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:

8 * x / 2 = 32

Now, solve:

8x/2=32\\4x=32\\x=8

gayaneshka [121]3 years ago
4 0

Answer:

x=8

Step-by-step explanation:

Area is equal to half of the base times the height. We are told that the area is 32and the base is 8, so we can write this equation:

32=1/2(8)h

Multiply 1/2 by 8:

32=4h

Divide both sides by 4:

h=8

So now we know that x (the height) equals 8.

HTH :)

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F is a twice differentiable function that is defined for all reals. The value of f "(x) is given for several values of x in the
nadezda [96]

The correct answer is actually the last one.

The second derivative f''(x) gives us information about the concavity of a function: if f''(x) then the function is concave downwards in that point, whereas if f''(x)>0 then the function is concave upwards in that point.

This already shows why the first option is wrong - if the function was concave downwards for all x, then the second derivate would have been negative for all x, which isn't the case, because we have, for example, f''(8)=5

Also, the second derivative gives no information about specific points of the function. Suppose, in fact, that f(x) passes through the origin, so f(0)=0. Now translate the function upwards, for example. we have that f(x)+k doesn't pass through the origin, but the second derivative is always f''(x). So, the second option is wrong as well.

Now, about the last two. The answer you chose would be correct if the exercise was about the first derivative f'(x). In fact, the first derivative gives information about the increasing or decreasing behaviour of the function - positive and negative derivative, respectively. So, if the first derivative is negative before a certain point and positive after that point. It means that the function is decreasing before that point, and increasing after. So, that point is a relative minimum.

But in this exercise we're dealing with second derivative, so we don't have information about the increasing/decreasing behaviour. Instead, we know that the second derivative is negative before zero - which means that the function is concave downwards before zero - and positive after zero - which means that the function is concave upwards after zero.

A point where the function changes its concavity is called a point of inflection, which is the correct answer.

7 0
3 years ago
Please help asap 25 pts
USPshnik [31]

The answer is C.

Just plug in x = 1 for each of them.  The correct one is the one that gives y = 5, which is C.

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If the cube is divided into two equal parts by a plane parallel to the face defined by vertices 2, 3, 6, and 7, what will be the
notsponge [240]
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Step-by-step explanation:

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Read 2 more answers
Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +
Ghella [55]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

That's

2x( 3x² - 2x - 8)

Next Factorize the terms in the bracket

To factorize write - 2x as a difference

that's

2x( 3x² + 4x - 6x - 8)

<u>Factor out x from the expression</u>

2x [ x( 3x + 4) - 6x - 8 ]

<u>Next factor out - 2 from the expression</u>

2x [ x ( 3x + 4) - 2( 3x + 4) ]

<u>Factor out 3x + 4 from the expression</u>

We have the final answer as

<h3>2x( 3x + 4)( x - 2)</h3>

Hope this helps you

4 0
3 years ago
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