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Gemiola [76]
3 years ago
15

What is the exact value of tan(67.5°) ?

Mathematics
2 answers:
mariarad [96]3 years ago
7 0

Answer:

\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}

Step-by-step explanation:

correct on edge2020

docker41 [41]3 years ago
4 0

Answer:

The exact value using trigonometric identities.

Exact Form:

√ 3 + 2 √ 2

Decimal Form:

2.41421356 …

Hope this helps :)

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If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
Use the T-table below to determine 3 solutions to this equation: y = 2x
Jet001 [13]
The table is attached as a figure

The given equation is ⇒⇒⇒⇒ y = 2x
To solve this equation, we need to pick numbers from the table then this number will be substituted into the equation to find y
we need 3 solutions . so, we need to pick 3 numbers of x
From the table, let us choose x = 0
y = 2x
y = 2 * (0)
y = 0

From the table, let choose second value of x such as x = 1
y = 2 * (1)
y = 2

From the table, let choose third value of x such as x = -1
y = 2 * (-1)
y = -2

So, the picked three solutions are
y = 0  at   x = 0
y = -2  at  x = -1
y = 2 at  x = 1



3 0
3 years ago
Add or subtract. Write fractions in simplest<br> form.<br> 4 2/5 - (- 6 1/2)=
Arte-miy333 [17]

Answer:

10 9/10

10.9

109/10

they all should be correct. depends on what they're asking for though:)

6 0
3 years ago
Please helppppppp meeeeeeeeeeee
Paha777 [63]

Answer:

the answer is the third one

Step-by-step explanation:

3 0
3 years ago
The sale tax rate is 7.5%. What is the tax on a $14.80 purchase.
SSSSS [86.1K]
Okay! Assuming this only wants the tax that will be added to the total, multiply the decimal percent by the cost of the item.

7.5% = .075

14.80 * .075 = 1.11

1.11 of tax will be added onto the total cost.

The total cost would be 15.91, which you can get from adding 14.80 to 1.11 or by doing 14.80 * 1.075. Regardless, the answer to this question is 1.11.
4 0
3 years ago
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