Algebra — popular questionsPage 2

Layla is as old as Miya was four years ago

Curve with $\frac{dy}{dx}=-\frac{15}{(5x-2)^2}$ through $(4,-2)$

Arithmetic progression with terms $3\cos x$, $-6\sin x$ and $9\cos x$

Quadratic graph with vertex at $(3,-5)$ and $y$-intercept $(0,31)$

Rewrite the radical expression as an exponential expression: $\sqrt[3]{2x^8}$

Rewrite the exponential expression as a radical expression: $(3x+3)^{6/7}$

Rewrite the exponential expression as a radical expression: $-3x^{2/3}$

Rewrite the exponential expression as a radical expression: $-3x^{2/3}$

3) a) $\frac13,\frac11{3},\frac{21}{3},\frac{31}{3},\ldots$ next two $\frac{41}{3},\frac{51}{3}$

6. A sequence is defined so that $t_n = a/(n-1)d$. If $a=3, d=5$, find $t_n$ and $t_4+ t_5+ t_6+ t_7$ is $31$ and $t_4+t_5+t_6+t_7+t_8=16$. Find the value of $t_4$ (if possible).

4. The sum of the first $n$ natural numbers is given by the formula $\frac{n(n+1)}{2}$. Find the sum of the natural numbers between $60$ and $400$ inclusive in multiples of $5$.

3. Write the given several sequences below. Say what the next two terms would be in the sequence.

Find parameter values that make a trig inequality hold on a given interval

다항식 나눗셈 조건으로 나머지값 구하는 법

Find the longest side from a perimeter equation

Solve tan and sin trigonometric equations for theta

How to solve cubic equations to 2 decimal places

How to show a value in a rectangle using surds

How to find the exact perimeter of a rectangle with surds

How to simplify algebraic expressions with surds and brackets