Which of the following is a factor of 6x? + 2x - 21? (1 point)

Mathematics

1 answer:

Leviafan [203]2 years ago

3 0

Answer:

(3x+3)^2

hope you get help from me

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what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years?

strojnjashka [21]

The principal amount is $\$3500$

SOLUTION:

Given that, simple interest $8\%$ ; $\$4340$ after 3 years

We have to find the principal.

Now, let the principal amount be p.

Then, $\text { Simple Interest }=\frac{p \times 8 \times 3}{100}=\frac{p \times 24}{100}$

Now, we know that, Balance = Principal amount + Simple Interest

$\begin{array}{l}{\rightarrow \$ 4340=p+\frac{24 p}{100}} \\\\ {\rightarrow 4340=p\left(1+\frac{24}{100}\right)} \\\\ {\rightarrow 4340=p \times \frac{100+124}{100}} \\\\ {\rightarrow p=4340 \times \frac{100}{124}} \\\\ {\rightarrow p=35 \times 100} \\\\ {\rightarrow p=3500}\end{array}$

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2 years ago

Write the equation of the line parallel to the given line and passing through the given point. y= 1/2 x+2 through (0,4)

marshall27 [118]

Parallel lines have the same slope, so the slope of the new line is 1/2.

The line passes through (0,4), and this gives the y-intercept, which would equal 4.

The equation now would be: y = 1/2x + 4

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2 years ago

If g (x) = 1/x^2 then g (x+h) - g (x)/h

nignag [31]

$\bf g(x)=\cfrac{1}{x^2}~\hspace{5em}\cfrac{g(x+h)-g(x)}{h}\implies \cfrac{\frac{1}{(x+h)^2}-\frac{1}{x^2}}{h} \\\\\\ \textit{using the LCD of }(x+h)^2(x^2)\qquad \cfrac{\frac{x^2-(x+h)^2}{(x+h)^2(x^2)}}{h}\implies \cfrac{x^2-(x+h)^2}{h(x+h)^2(x^2)} \\\\\\ \cfrac{x^2-(x^2+2xh+h^2)}{h(x+h)^2(x^2)}\implies \cfrac{\underline{x^2-x^2}-2xh-h^2}{h(x+h)^2(x^2)}\implies \cfrac{-2xh-h^2}{h(x+h)^2(x^2)}$

$\bf \cfrac{\underline{h}(-2x-h)}{\underline{h}(x+h)^2(x^2)}\implies \cfrac{-2x-h}{(x+h)^2(x^2)}\implies \cfrac{-2x-h}{(x^2+2xh+h^2)(x^2)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{-2x-h}{x^4+2x^3h+x^2h^2}~\hfill$