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3 years ago

Solve the equation. | 2z - 3| = 4z - 1

1 answer:

6 0

Keeping in mind that, an absolute value expression is in effect a piece-wise, then

$\bf |2z-3|=4z-1\implies 
\begin{cases}
+(2z-3)=4z-1\\
\qquad 2z-3=4z-1\\
\qquad -2=2z\\
\qquad \frac{-2}{2}=z\\
\qquad -1=z\\
----------\\
-(2z-3)=4z-1\\
\qquad -2z+3=4z-1\\
\qquad 4=6z\\
\qquad \frac{4}{6}=z\\\\
\qquad \frac{2}{3}=z
\end{cases}$

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Which of the following graphs shows a linear function

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The answer is definitely B

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3 years ago

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Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

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3 years ago

16. (it’s a triangle) x x + 4 X-1 x + 2 what is x?

grigory [225]

Answer:

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3 years ago

You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C

Ket [755]

5/6 chance that the next marble will be a white one

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4 years ago

Please Help! If you give the right answer I will rate you 5/5

Aliun [14]

Answer: There are 104 silvery minnow population in the Rio Grande River.

Step-by-step explanation:

Since we have given that

Number of tagged silvery minnows = 54

Number of captured silvery minnows = 62

It includes 12 tagged silvery minnows.

So, Number of silvery minnows without tags = 62 -12 =50

So, Good estimate of the silvery minnow population in the Rio Grande River would be

$54+50\\\\=104$

Hence, there are 104 silvery minnow population in the Rio Grande River.

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3 years ago