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4 years ago

Solve (x + 1 < 4) ∩ (x - 8 > -7).

Mathematics

1 answer:

olga55 [171]4 years ago

3 0

Answer:

$1$

Step-by-step explanation:

Let simplify each of these inequalities individually and then look at where they intersect afterwards

$x+1$

And

$x-8>-7\\\\x>1$

This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.

This can be represented by the following inequality $1$

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I really need help

NikAS [45]

Your answer is 50 adult tickets and 70 children tickets hope this helps

7 0

3 years ago

F(x)=6x-18 sub in f(x/3), f(x)/3

arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!

8 0

3 years ago

An insured has $5,000 of medical coverage on a personal auto policy at the time of a covered accident. The insured and two passe

Vlad1618 [11]

Answer: 14,000 $ Max will be paid and 5000$ per person.

Step-by-step explanation:

In this case, we can assume the following:

1. That the policy covers only the insured one and not the passengers

2. The policy cover all the injured.

Now, the policy covers 5000$ of medical treatment, so, the medical treatment for the insured is 7000$.

To this quantity you'll have to take out the policy coverage which is 5000$, so: 7000 - 5000 = 2000$.

Finally, we just have to to the sum, of all quantity, because the passengers are not included in the policy, therefore:

8000 + 4000 + 2000 = 14000 $.

That is the maximum paid of all, and 5000$ will pay the policy for the injured only.

Now, if we assume that the passengers are also covered by the policy, then:

7000 - 5000 = 2000

8000 - 5000 = 3000

4000 - 5000 = -1000 it won t pay anything.

So if we sum 5000 + 5000 + 4000 = 14000$.

We got the same result assuming the policy with all.

Therefore the final answer is that the policy will pay 14000$ for all.

4 0

4 years ago

Carlos and Sophie, factored the trinomial –4x2 − 10x + 6. Sophie factored it as –2(2x − 1)(x + 3) and Carlos factored it as (x +

nydimaria [60]

Sophie factored it completely while Carlos did not.

Complete factoring is achieved when all factors other than monomial factors are prime factors. Carlos' (4x + 2) can still be factored into 2(x+1).

4 0

3 years ago

At 10:00 a.M., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs

ehidna [41]

Answer: 1. Han run 2.5 miles after a half hour.

2. No, they will not meet within 1 hour.

Step-by-step explanation:

Here, Han runs at a pace of 12 minutes per mile.

Or, we can say that he can run with the speed of 5 miles per hour. (because, speed = 1/pace and 12 minutes = 1 miles ⇒ 60 minutes = 5 miles)

Similarly, If Tyler runs at a pace of 15 minutes per mile ⇒ Tyler run with the speed of 4 miles per hour.

Therefore,

1) The distance covered by Han in half an hour = 1/2 × 5 = 2.5 miles

(because distance = speed × time)

Now, 2) the time at which Han and tyler will meet,

T= Total distance/ ( the sum of their speed)

$T= \frac{10}{5+4} = \frac{10}{9}$

⇒ $T = 1\frac{1}{9}$ hours > 1 hour

That is, they will not meet within 1 hour.

4 0

3 years ago

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