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3 years ago

I am very confused, please help!

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Consider the equation:

$\dfrac{3}{4}(24-16x)=-\dfrac{2}{3}(18x-27)$

Use distributive property in both sides:

$\dfrac{3}{4}\cdot 24-\dfrac{3}{4}\cdot 16x=-\dfrac{2}{3}\cdot 18x+\dfrac{2}{3}\cdot 27\\ \\3\cdot 6-3\cdot 4x=-2\cdot 6x+2\cdot 9\\ \\18-12x=-12x+18$

Separate terms with x into the left part and terms without x into the right part:

$-12x+12x=18-18\\ \\0=0$

Since you get true equality 0 = 0, the equation is true for all real values of x. So, the equation has infinitely many solutions.

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Factor f(x) = 6x^4 - 9x^3 - 57x^2 - 18x +24

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3 years ago

Find Sin (BAC+30) 80POINTS

Ann [662]

Answer:

$\dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}$

Step-by-step explanation:

Trigonometric Identities

$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B$

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

$\cos (\angle BAC)=\dfrac{12}{20}$

$\sin (\angle BAC)=\dfrac{16}{20}$

Angles

$\sin (30^{\circ})=\dfrac{1}{2}$

$\cos (30^{\circ})=\dfrac{\sqrt{3}}{2}$

Therefore, using the trig identities and ratios:

$\begin{aligned}\sin (\angle BAC + 30^{\circ}) & = \sin (\angle BAC) \cos (30^{\circ})+\cos (\angle BAC) \sin (30^{\circ})\\\\& = \dfrac{16}{20} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{12}{20} \cdot \dfrac{1}{2}\\\\& = \dfrac{16}{40}\sqrt{3}+\dfrac{12}{40}\\\\& = \dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\end{aligned}$

3 0

1 year ago

Read 2 more answers

Ethan pays 52.80 for some more f the boxes work out the number of boxes he buys 1 box 2.40 2 4.80 and 5 12 10 24

Slav-nsk [51]

The pricing of the boxes seems to be consistently 2.40 per box. Ethan's cost is
.. 52.80 = 2.40 * (# of boxes)
.. 52.80/2.40 = (# of boxes)
.. 22 = # of boxes

Ethan has bought 22 boxes for 52.80.

5 0

3 years ago

23 + 4.5 = 4.5 + 23 es un ejemplo de la propiedad

dybincka [34]

Step-by-step explanation:

ES UN EJEMPLO DE PROPIEDAD COMMULATIVE.

hola Hermano, cóme TE IIamas

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3 years ago

14, 8, 17, 21, x, 11, 3, 13; range: 20

MakcuM [25]

Answer:

x = 1

Step-by-step explanation:

When you subtract the smallest number from the biggest number, the answer is called the range. Here the largest number is 21. The smallest is 3. Then the range should be 18. But since it's 20. This mean that x is 1. Because 21 - 1 will equal 20, making 20 the range. So the correct answer is 1.

6 0

3 years ago