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hjlf
3 years ago
9

True or False 5/2 + (- 2.5) is negative.

Mathematics
2 answers:
uranmaximum [27]3 years ago
7 0
This is false, it is not negative because the answer is 0.
lesya692 [45]3 years ago
5 0

Answer:

False

Step-by-step explanation:

You might be interested in
Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


6 0
3 years ago
The quadratic function h(t) = -16.1? + 150 models a ball's height, in feet, over time, in seconds,
Sliva [168]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t) = -16.1t^2 + 150

0=-16.1t^2+150

16.1t^2=150

t^2=\frac{150}{16.1} =9.32

t=+-\sqrt{9.32} =+-3.05

t1=3.05

t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1

b=0

c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

5 0
2 years ago
Help please.
Murljashka [212]
Add up them up
Ab+BC
18.3+11.2
=29.5
5 0
2 years ago
Choose the more precise measurement.<br><br> 37 T <br><br> 56 lb
Gnesinka [82]

Answer:

56lb

Step-by-step explanation:

there are 2000lbs in a ton so a measurement in pounds is more precise

5 0
3 years ago
What happens to the mean of the data set shown below if the number 20 is added to the data set?
defon

Answer:

This shows that the mean increases by 2.95

Step-by-step explanation:

Assume the given data is 2, 5, 6, 8

Mean = 2 +5+6+8/4

Mean = 21/4

Mean = 5.25

If number 20 is added, the data becomes 2, 5, 6, 8, 20

New mean = 2 +5+6+8+20/4

New mean = 41/5

New mean = 8.2

Taking the difference in the mean:

Difference = 8.2 - 5.25

Difference = 2.95

This shows that the mean increases by 2.95

<em>NB: The data used was assumed since we are not given any data in question</em>

<em></em>

4 0
3 years ago
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