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2 years ago

Which are correct representations of the inequality -3(2x - 5) < 5(2-x)? Select two options.

Mathematics

1 answer:

Hunter-Best [27]2 years ago

3 0

Answer:

-6x +15 < 10 -5x
the graph of 5 < x

Step-by-step explanation:

Expanding the given inequality, you get ...

-6x +15 < 10 -5x

Adding 6x-10, you get

5 < x

which has the graph shown below.

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If your weight is 28 grams on earth and it changed when you are on the moon by1/6 what is your moon weight ?

Sloan [31]

Answer:

4.6666 is the weight

3 0

3 years ago

Find the difference by aligning the expressions vertically. (2x + 3y - 4) - (5x + 2)

lys-0071 [83]

Answer:

− 3 x + 3 y − 6

Step-by-step explanation:

If you want me to show work let me know but all you need to do is simplify the expression.

7 0

2 years ago

X^2 + Y^2 +ax + 2y + 3 = 0 What number is this equation the equation of a circle?

Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0

3 years ago

If f(x) = 10 + 50x, solve for x when f(x) = 310.

weqwewe [10]

x = 6

given f(x) = 310, we obtain the equation

10 + 50x = 310 ( subtract 10 from both sides )

50x = 300 ( divide both sides by 50 )

x = $\frac{300}{50}$ = 6

5 0

3 years ago

A car is traveling at a rate of 72 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil

nataly862011 [7]

Answer:

The car’s rate in kilometer per minute is 1.2 kilometer/minute and in 20 min it can travel 24 kilometer

Solution:

It is given that it can travel 72 kilometer per hour.

We know 1 hour = 60 min

So, the car travels in

60 min = 72 hour

$1 \min =\frac{72}{60} \text { hours or } \frac{6}{5} \text { hours or } 1_{5}^{1} \text { hours. }$

Thus the cars rate in kilometer per minute is $\frac{6}{5}$ is 1.2 kilometer per minute.

Now we know in 1 minute the car can travel 1.2 kilometer.

Therefore in 20 minutes it will travel 1.2 $\times$ 20 kilometers= 24 kilometers

5 0

2 years ago