Graph the Equation shown in the image.

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

3 0

Answer:

Step-by-step explanation:

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What are similar triangles?

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two triangles that are similar, that have equal angles

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The sum of 4 and 5 is subtracted from one-third of the difference of 40 and 4.

xxTIMURxx [149]

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Sum of 4 and 5 → 4 + 5 = 9

Difference of 40 and 4 → 40 – 4 = 36

One-third 1/3 of 36 → 12

→ 12 – 9

» 3

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2$

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2 years ago

Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

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$\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots$
$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

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2 years ago

I need to know the steps to simplify 15.7 + (-3.45)

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U call it keep change change. keep 15.7. change it to subtract and change -3.45 to just 3.45 (positive not negative)

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