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2 years ago

7

Which graph shows all the values that satisfy 2/gx +3>45/g

1 answer:

MissTica2 years ago

8 0

Answer:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Step-by-step explanation:

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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup

mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = $\frac{2.5}{2}=1.25$

Height of can = $2.5\times 3=7.5$

The volume of sphere is

$V=\dfrac{4}{3}\pi r^3$

where, r is radius of sphere.

The volume of a tennis balls is

$V=\dfrac{4}{3}\pi (1.25)^3$

$V=8.18123$

$V\approx 8.18$

Volume of three tennis balls is

$V_1=3\times 8.18=24.54$

The volume of cylinder is

$V=\pi r^2h$

The volume of can is

$V_2=\pi (1.25)^2(7.5)$

$V_2=36.81553$

$V_2\approx 36.82$

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

= 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

3 0

3 years ago

Find cos(ZA).<br> Choose 1 answer:

lbvjy [14]

Answer: option A. 24 / 25

Step-by-step explanation:

Cos (Z) = Adj / Hypo

Cos (Z) = 24 / 25

3 0

3 years ago

The height in feet above the water of a diver can be modeled by ℎ() = −16*2 − 16 + 192, where t is the time in seconds after the

Maurinko [17]

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

$-16t^2 -16 t +192 =0$

divide whole equation by -16

$t^2 +t -12 =0$

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

3 0

3 years ago

2) Find the missing measure. Show your work.<br> X =<br> 130°

Veronika [31]

Answer:

The missing angle I believe is 25%.

Step-by-step explanation:

180-130=50

Divide 50 by 2 and it equals 25. 25 degrees for each angles.

5 0

2 years ago

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The two-way frequency table below shows data from a random sample of 93 students on their favourite season and whether or not th

daser333 [38]

Answer:

Choice D

Step-by-step explanation:

8 0

3 years ago