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2 years ago

A number decreased by fifteen is less than two.

Mathematics

1 answer:

Aliun [14]2 years ago

3 0

Let us assume number of n.

The number is decreased by 15.

Decreasing by 15 means, we need to subtract 15 from that number.

So, it would be come n-15.

Now, it is said that the number would become less than 2.

So, we need to setup an inequality:

n-15 is less than 2.

Adding 15 on both sides, we get

n-15+15 < 2+15

n < 17.

<h3>So, we could say the number would be less than 17.</h3>

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At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

katovenus [111]

Answer:

Step-by-step explanation:

The velocity of a moving body is given by the equation:

$v=t^2-5t+4 ,\, t\geq0$

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

$v$

By substitution:

$t^2-5t+4$

Solve. To do so, we can first solve for t and then test values. By factoring:

$(t-4)(t-1)=0$

Zero Product Property:

$t=1, \text{ and } t=4$

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

$v(0)=4>0,\, v(2)=-20$

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.

7 0

3 years ago

Can anyone help me please?

Mariulka [41]

Help with what? I am not sure what other question you asked that you need help on. What is the question?

6 0

3 years ago

Perform the indicated row operation:

alexandr1967 [171]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

1.4 – 5.5 – 1.73 + 1.8 – 1.09 –5.12 –8.72 5.12 –1.66

Novay_Z [31]

We'll do two by two,
1.4 – 5.5= -4.1
– 1.73 + 1.8= 0.07
Leaving – 1.09,

You get 
=-4.1+ 0.07- 1.09
=-4.03-1.09
=-5.12

7 0

2 years ago

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the

andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the cash register, 7 cooked food and washed dishes, 6 cooked food and operated the cash register, 6washed dishes and operated the cash register, 4 did all three jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

(b) Only operate the cash register?

Step-by-step explanation:

From the above question, we have the following information:

15 cooked food

12 washed dishes

21 operated the cash register

7 cooked food and washed dishes

6 cooked food and operated the cash register

6washed dishes and operated the cash register

4 did all three jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed dishes - Number of people that cooked food and operated the cash

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash register - Number of people that washed dishes and operated the cash register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

7 0

3 years ago