Find the value of x, rounded to the nearest tenth?

Mathematics

1 answer:

Stolb23 [73]3 years ago

4 0

Answer:

Step-by-step explanation:

we can use the trigonometric function in a right triangle

cos x = adjacent side to the angle /hypothenuse

cos 36°= x/10 ; multiply both sides by 10

10 * cos 36° = x ; make sure your calculator mode is in degrees

8.1 = x

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Function 2

balandron [24]

Answer:

Function 2 has larger max value.

Step-by-step explanation:

We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.

But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.

$\large{f(x) = - {x}^{2} + 4x + 1}$

It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.

$\large \boxed{y = \frac{4ac - {b}^{2} }{4a} }$

As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c

Substitute our a, b and c in the formula.

$\large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}$

Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.

5 0

2 years ago

while preparing for a morning conference, principle corset to is laying out 15 dozen bagels on square plates. each plate can hol

lana [24]

The answer is 13 if he puts all the bagels bit if he doesn't then it is 12 I put 12

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3 years ago

Find the 8th term in the sequence: x + 1, 2x + 1, 3x + 1,...

Rasek [7]

The common difference is x

the first term is x+1

a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1

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2 years ago