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zepelin [54]
2 years ago
6

Solve. 11 = 4 x Z 11= 4 x z

Mathematics
2 answers:
Lelechka [254]2 years ago
7 0

\huge\textbf{Hey there!}

\large\boxed{\mathbf{11 = 4\times z}}\\\large\boxed{\mathbf{\rightarrow 4\times z = z}}\\\large\boxed{\mathbf{\rightarrow 4z = 11}}\\\\\large\textbf{DIVIDE 4 to BOTH SIDES}\\\large\boxed{\mathbf{\rightarrow \dfrac{4z}{4} = \dfrac{11}{4}}}\\\bullet\large\textbf{ CANCEL out: }\bf{\dfrac{4}{4}}\large\textbf{ because it gives you 1}\\\bullet\large\textbf{ KEEP: }\bf\dfrac{11}{4}\large\textbf{ because it gives you the z-value}\\\\\large\textbf{SIMPLIFY IT!}\\\\\mathbf{z = \dfrac{11}{4 }\approx 2\dfrac{3}{4}}}

\huge\textbf{Therefore, your answer is: }\\\huge\boxed{\mathsf{z = \dfrac{11}{4}\ or \ 2\dfrac{3}{4}}}\huge\checkmark

\large\textbf{Either of those two should work because they are both}\\\large\textbf{equivalent to each other! }\heartsuit

\huge\textbf{Good luck on assignment \& enjoy}\\\huge\textbf{your day!}

~\frak{Amphitrite1040:)}

marusya05 [52]2 years ago
3 0

Answer:

11 = 4 \times z

4 \times z = 11

4z = 11

z =  \frac{11}{4}

z = 2 \frac{3}{4}

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If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Vedmedyk [2.9K]
F(x) = 8 - 10x

g(x) = 5x + 4

Finding (fg)(-2).

First let us find fg(x),  this is the same as f(g(x))

f(g(x))

f(5x + 4)

Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) =  8 - 10(5x + 4)

             =  8 - 50x - 40

             = -50x + 8 - 40

             =  -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.
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