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3 years ago

What is the range of the function f(x)=(x-4)^2-5

Mathematics

2 answers:

Ksivusya [100]3 years ago

5 0

The answer to this question is a

uranmaximum [27]3 years ago

4 0

f(x) = (x - 4)^2 - 5

Vertex (4 , -5)

This function opens upward and has min. value = -5

So range y >= - 5

So answer is A. -5 <= f(x) < ∞

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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

$X=\sin^{-1}(0.295219)$

$X=17.17067$

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

5 0

3 years ago

A flute is on sale for 20% off. Including the discount and 8% tax, the sales price is $216.

Len [333]

Answer:

Before Tax: $240

After Tax: $259.20

Step-by-step explanation:

If we are trying to find the original price then here:

216/1.08 = 200

This took away the tax now we need to take away the discount:

200 x 1.2 = 240

Before Tax: $240

After Tax: $259.20

7 0

3 years ago

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Please come and help me

andrew-mc [135]

Just multpily.
8950*.76= 6820

so C is the answer

8 0

3 years ago

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please help i will make brainlest if you have correct answers please put your answers in order like the pictures like 1 2 3 4 5

Kruka [31]

1. 22/25

2. -1 1/4

3. -1 7/10

4. 1 5/6

5. 1 2/3

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3 years ago

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Please help?<br>:):):):)

Citrus2011 [14]

Answer:

6.48%

Step-by-step explanation:

t - c = b

t = 31.93

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b = 31.93 - 29.99

b = 6.48%

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3 years ago