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Shtirlitz [24]
3 years ago
8

Solve the inequality 3x-1>-6x​

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

x > 1/9

Step-by-step explanation:

Given that:

3x-1>-6x​

Adding 6x + 1 on both sides we get

3x-1 + 6x + 1>-6x​ + 6x +1

3x +  6x > 1

Adding both variables

9x > 1

Dividing both sides b 9 we get

9x/9 > 1/9

x > 1/9

I hope it will help you!​

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tom takes a taxi to work. There is an initial fee of $2.20. Each mile is calculated at $1.50. If Tom's final cost for the taxi i
Fudgin [204]

Fee for distance = total fee - initial fee = 12.70-2.20 = $10.50

Now, for 1 mile = $1.50

for x miles = 10.50/1.50 = 7

So, tom travel 7 miles.

5 0
3 years ago
- 7h + 2(-4h +5) > -4h +1 +10. Solve for h​
navik [9.2K]

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-h > 1

Divide both sides by -1.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-h ÷ -1 < 1 ÷ -1

h < -1

6 0
3 years ago
(repost) Can someone please help me with this asap!!!
Elenna [48]

Answer:

1) y = 30x (same thing as y = 30x + 0)

2) y = 24x (same thing as y = 24x + 0)

3) 270

4) 216

Step-by-step explanation:

Hope this helps :)

5 0
3 years ago
Evaluate the function for the given value of x <br><br><br>f(n)=n^2-6n+7n at n=3 <br><br><br><br>​
vagabundo [1.1K]
F(n)=13
3^2-6(3)+7(3)=12
6 0
2 years ago
For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu
Sliva [168]

Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × e^{0.0970t}.

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × e^{0.0970t}

⇒ \frac{6000}{29.57} = e^{0.0970t}

⇒ 202.908 = e^{0.0970t}

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ e^{0.0970t}

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = \frac{5.312}{0.0970}

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

3 0
3 years ago
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