Solve each equation for x. 4(x-b)=x

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Im guessing that it is 5 but then again dont trust me XD

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(7)/(3) of it is 5 (5)/(6)

slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

$\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}$

7 0

1 year ago

Solve each of the following quadratic equations 3x=0.5x^2 0=5x^2-2x+6

UNO [17]

Question 1

$3x=0.5x^{2}\\\\6x=x^{2} \\ \\ x^{2}-6x=0 \\ \\ x(x-6)=0 \\ \\ \boxed{x=0, 6}$

Question 2

$0=5x^{2}-2x+6 \\ \\ x=\frac{2 \pm \sqrt{(-2)^{2}-4(5)(6)}}{2} \\ \\ x=\frac{2 \pm \sqrt{-116}}{10} \\ \\ x=\frac{2 \pm 2i\sqrt{29}}{10} \\ \\ \boxed{x=\frac{1 \pm i\sqrt{29}}{5}}$

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2 years ago

Is -4 a solution to the the equation 5+(-8)n=29

Gala2k [10]

No because when -4 is substituted in for n the answer is 37 so it is not true

3 0

3 years ago

The ___ of a parabola is the line, along with a point not on the line, which is used to generate a parabola.

enot [183]

Answer:

Directrix

Step-by-step explanation:

The directrix of a parabola is the line, along with a point not on the line (which is the focus), which is used to generate a parabola. The directrix is parallel either to the x- or y-axis, and is perpedicular to the parabola's axis of symmetry (at x = h).

Therefore, the correct answer is "directrix."

3 0

2 years ago

A small box of cereal weighs k grams. A jumbo box of cereal weighs 5 times as much.

mariarad [96]

Answer:

k=m/5

Step-by-step explanation:

explained in the attached pi

3 0

2 years ago