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Grace [21]
3 years ago
12

(09.06)

Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

Both f(x) and g(x) have the same output value at x = 5

Step-by-step explanation:

When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x

Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5

What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)

Hence, we can conclude that both functions have the same output value at the given input value of x = 5

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Line segment W Y is an altitude in triangle WXZ.
AleksAgata [21]

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

6 0
3 years ago
Read 2 more answers
What percentage of the individuals rode the Ferris wheel and did not ride the roller coaster?
Ilia_Sergeevich [38]

Answer:

B and D

Step-by-step explanation:

they both make srnse to me

8 0
3 years ago
If f(x) = 2x -­ 4 and g(x) = x^2+3, find each value.<br><br> 19. (f -­ g)(x)<br> 20. (f • g)(x)
just olya [345]

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = (2x - 4) - ( {x}^{2}  + 3) \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 2x - 4 -  {x}^{2}  - 3 \\     \red{ \boxed{\therefore (f - g)(x)  =  -  {x}^{2}  + 2x - 7}}

5 0
3 years ago
Which statements accurately describe the function f(x) = 3(StartRoot 18 EndRoot) Superscript x? Select three options. The domain
Studentka2010 [4]

Answer:

The domain is all real numbers.

The initial value is 3

The simplified base is 9\sqrt{2}

Step-by-step explanation:

The given function is f(x)=3(\sqrt{18})^x.

To find the initial value, we put x=0 into the function:  

f(0)=3(\sqrt{18})^0.

f(0)=3(1)=3.

The initial value is actually 3.

The given function is an exponential function, therefore the domain is all real numbers.

The range of this function refers to all values of y for which the function is defined.

The line y=0, is the horizontal asymptote.

The range is y\:>\:0

The simplified base is 3\sqrt{18}=3\sqrt{9\times2}.

3\sqrt{18}=3\sqrt{9}\times\sqrt{2}

3\sqrt{18}=3\times3\times\sqrt{2}

3\sqrt{18}=9\sqrt{2}

4 0
3 years ago
Read 2 more answers
A soccer player is going to kick a soccer ball from one corner of a field to the opposite corner. If the field is 68 meters long
Anna007 [38]

Answer:

85 m.

Step-by-step explanation:

Use Pythagoras Theorem:

x^2 = 51^2 + 68^2

=  7225

x = √7225

= 85

8 0
3 years ago
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