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Sladkaya [172]
3 years ago
10

What is the x-intercept of -3x-9y=18

Mathematics
2 answers:
nordsb [41]3 years ago
8 0
X=-3y-6
Hope this helps

Here's how i found it 

Let's solve for x.<span><span><span>−<span>3x</span></span>−<span>9y</span></span>=18</span>
Step 1: Add 9y to both sides.<span><span><span><span>−<span>3x</span></span>−<span>9y</span></span>+<span>9y</span></span>=<span>18+<span>9y</span></span></span><span><span>−<span>3x</span></span>=<span><span>9y</span>+18</span></span>
Step 2: Divide both sides by -3.<span><span><span>−<span>3x</span></span><span>−3</span></span>=<span><span><span>9y</span>+18</span><span>−3
</span></span></span><span>

x=<span><span>−<span>3y</span></span>−<span>6</span></span></span>
bogdanovich [222]3 years ago
6 0
The result is -6 
Hope this helps.
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Answer:

72 yellow balls

Step-by-step explanation:

80% of 90 is (0.80*90) = 72 yellow balls.

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2 years ago
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
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Leviafan [203]

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Step-by-step explanation:

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rodikova [14]

Answer:

C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?

Step-by-step explanation:

For A., the equation would be 4 + 6 - 3

For B., the equation would be 3 x (6 + 4)

So our only option is C.

For C., the equation would be 4 x (6 + 3)

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Answer:

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