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2 years ago

30 > -6(2X +3) show me how to solve

Mathematics

2 answers:

MA_775_DIABLO [31]2 years ago

6 0

<h3><u>x > -4 is the solution to this inequality.</u></h3>

30 > -6(2x + 3)

Distributive property.

30 > -12x - 18

Add 18 to both sides.

48 > -12x

Divide both sides by -12.

(Because we're dividing by a negative, the inequality sign flips.)

kirza4 [7]2 years ago

5 0

Isolate the x. Treat the > sign as an equal in a sense that "what you do to one side, you do to the other."

First, distribute -6 to all terms within the parenthesis

-6(2x + 3) = -6(2x) -6(3) = -12x - 18

30 > -12x - 18

Isolate the x. Do the opposite of PEMDAS. First, add 18 to both sides

30 (+18) > -12x - 18 (+18)

48 > -12x

Next, divide -12 from both sides. Note that when dividing a negative number, you must flip the sign.

(48)/-12 > (-12x)/-12

-4 < x

-4 < x is your answer

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20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

$d=3,805,774\ ft$

substitute the value of d in the function f(d)

$f(d)=1.11\sqrt{3,805,774}$

$f(d)=2,165.43\ sec$

3 0

2 years ago

Help me out pleaseee

spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the $x$ intercept meaning the value of the point on $x-axis$ when $y=0$

So we will put the value of zero $(0)$ instead of $y$ in our given equation.

So here we have solved it algebraically.

$y=\frac{3}{4}x-3$

Putting $y=0$

$0=\frac{3}{4}x-3$

$0=\frac{3x-12}{4}$

Multiplying $4$ both sides.

$0=3x-12$

Adding $12$ both sides.

$12=3x$

Dividing with $3$ both sides.

$x=\frac{12}{3}=4$

So the x-intercept of the given equation is $4$ which can be written as $(4,0)$ in terms of coordinates.

Option B $(4,0)$ is the correct choice.

8 0

2 years ago

I will give Brainiest if you are right

telo118 [61]

The answer is B 100%

8 0

2 years ago

Read 2 more answers

X + 2x = 15<br> Please help!!!<br> Worth 20 points!!!<br> I need an answer ASAP!!!

hram777 [196]

Answer:

x=5

Step-by-step explanation:

x+2x=15

Combine like terms:

3x=15

Divide both sides by 3:

x=15/3=5

Hope this helps!

5 0

2 years ago

1: Which of the following equations could you solve by first adding six and then dividing by negative three?

balu736 [363]

1. C - You could add 6 and divide by negative three with this one

2. B - By plugging in five, you would get 9-10. and that would give you -1

3. B - You would add 18 to 12 to get 30

4 0

3 years ago