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chubhunter [2.5K]
3 years ago
5

Using the function below, calculate f(4).

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

D. 8

Step-by-step explanation:

Using the graph of the function above, f(4) can be easily determined by tracing the corresponding coordinate of x = 4. When x = 4, on the x-axis, y = 8 on the y-axis.

The value of f(4), simply means, what is the value of y when x = 4.

Thus, the value of f(4) = 8.

The right answer is D. 8.

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Someone please help these practice problems are hard
mr Goodwill [35]

Rewrite the equation in slope-intercept form:

9x - 7y = 21

-7y = -9x + 21

y = (9/7)(x) - 3

The y-intercept is where x = 0.

y = (9/7)(0) - 3

y = 0 - 3

y = -3

The x-intercept is where y = 0.

0 = (9/7)(x) - 3

3 = (9/7)(x)

21 = 9x

x = 21/9

x = 7/3

The correct answer would be C. The x-intercept would be at (7/3, 0) and the y-intercept at (0, -3). Hope that helps! :)

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3 years ago
What is the measure of angle z in this figure?
VladimirAG [237]
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3 years ago
Factor trinomial x^2n+10x^n+16​
iragen [17]

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

8 0
3 years ago
Jenna uses 6.1 pints of white paint and blue paint to paint her bedroom walls. 4/5 of this amount is white paint, and the rest i
Novay_Z [31]

Answer:

2.44 pints of white

Step-by-step explanation:

6 0
3 years ago
Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Zina [86]

Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

\cos( \alpha ) =  \frac{ \sqrt{6} }{6}  =  \frac{1}{ \sqrt{6} }  \\  \\  \therefore \:  \sin( \alpha )  =  \sqrt{1 -  { \cos}^{2} ( \alpha ) }  \\  \\  =  \sqrt{1 -  \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} }  \\  \\ =  \sqrt{1 -  {\frac{1}{ {6} }}}  \\  \\ =  \sqrt{ {\frac{6 - 1}{ {6} }}}   \\  \\  \red{\sin( \alpha ) =  \sqrt{ { \frac{5}{ {6} }}} } \\  \\  \tan( \alpha ) =  \frac{\sin( \alpha ) }{\cos( \alpha ) }  =  \sqrt{5}  \\  \\ \sin( \beta )  =  \frac{ \sqrt{2} }{4}  \\  \\  \implies \: \cos( \beta )  =   \sqrt{ \frac{7}{8} }  \\  \\ \tan( \beta )  =  \frac{\sin( \beta ) }{\cos( \beta ) } =  \frac{1}{ \sqrt{7} }   \\  \\  \tan( \alpha  -  \beta ) =  \frac{ \tan \alpha  -  \tan \beta }{1 +  \tan \alpha .  \tan \beta}  \\  \\  =  \frac{ \sqrt{5} -  \frac{1}{ \sqrt{7} }  }{1 +  \sqrt{5} . \frac{1}{ \sqrt{7} } }  \\  \\  =  \frac{ \sqrt{35} - 1 }{ \sqrt{7}  +  \sqrt{5} }  \\  \\  \purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

8 0
3 years ago
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