$(4x - 3)(2x - 1) \geqslant 0 \\ \Leftrightarrow \begin{cases}4x - 3 \geqslant 0 \\ 2x - 1 \geqslant 0\end{cases}\: \vee \:\begin{cases}4x - 3 \leqslant 0 \\2x - 1 \leqslant 0 \end{cases} \\ \Leftrightarrow \begin{cases}x \geqslant \frac{3}{4} \\ x \geqslant \frac{1}{2} \end{cases}\: \vee \:\begin{cases}x\leqslant \frac{3}{4} \\x \leqslant \frac{1}{2} \end{cases} \\ \Leftrightarrow x \geqslant \frac{3}{4} \: \vee \: x \leqslant \frac{1}{2} \\ \Rightarrow The\: third\: option$

5 0

3 years ago

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100 feet of yarn to make a bracelet.same amount of yarn to make each bracelet.. expression that will find amount of yarn

castortr0y [4]

Let x be the number of bracelets you can make
Amount of yarn needed = 100x

8 0

4 years ago

Find a so that the point (-1,5) is on the graph

nirvana33 [79]

F(x)=ax^2+4 thus
a=(f(x)-4)/x^2=(5-4)/(-1)^2=1

Answer: a=1.

7 0

3 years ago