Factor by using the perfect square trinomial formula

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from

makvit [3.9K]

Answer:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

6 0

3 years ago

A bin contains 25 light bulbs, 5 of which are in good condition and will function for at least 30 days, 10 of which are partiall

Ira Lisetskai [31]

Answer:

The probability that it will still be working after one week is $\frac{1}{5}$

Step-by-step explanation:

Given :

Total number of bulbs = 25

Number of bulbs which are good condition and will function for at least 30 days = 5

Number of bulbs which are partially defective and will fail in their second day of use = 10

Number of bulbs which are totally defective and will not light up = 10

To find : What is the probability that it will still be working after one week?

Solution :

First condition is a randomly chosen bulb initially lights,

i.e. Either it is in good condition and partially defective.

Second condition is it will still be working after one week,

i.e. Bulbs which are good condition and will function for at least 30 days

So, favorable outcome is 5

The probability that it will still be working after one week is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

$\text{Probability}=\frac{5}{25}$

$\text{Probability}=\frac{1}{5}$

5 0

3 years ago

In the equation 5x-2=-x-20, What is the value of x? a. 2 b. -1 c. -3 d. -2

mestny [16]

Answer:

C choice.

Step-by-step explanation:

$5x - 2 = - x - 20 \\$

First, we move the same terms to the same side.

$5x + x = - 20 + 2 \\ 6x = - 18$

Then we move 6 to divide - 18.

$x = \frac{ - 18}{6} \\ x = - 3$

7 0

3 years ago

-17 + 5x = 5(x - 5) + 8 i need step by step solution pls asap

Masja [62]

Answer:just subtract 8 from both sids then add 17 to both then do the dam probkemits ez

Step-by-step explanation:dddddddd

6 0

3 years ago

the measure of 2 complementary angles are in the ratio 1:4. what are the degree measures of the 2 angles

BaLLatris [955]

Angles are 18° and 72°

Step-by-step explanation:

Step 1: Find the two complementary angles in the ratio 1:4. Let the angles be 1x and 4x.

x + 4x = 90° (∵ they are complementary)

5x = 90

∴ x = 90/5 = 18

⇒ Angles are 18° and 4x = 72°

8 0

3 years ago