How many solutions for x does the following equation have?

Mathematics

1 answer:

Finger [1]4 years ago

6 0

Answer:

B. No solutions.

Step-by-step explanation:

Let's try solving it:

3(x + 8) = 3x + 4

3x + 8 = 3x + 4.

There are no solutions because if we simplify we get an absurd result. Subtract 3x from both sides of the equation:

3x - 3x + 8 = 3x - 3x + 4

8 = 4.

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The swimming pool is open when the high temperature is higher than 20∘C. Lainey tried to swim on Monday and Thursday (which was

Sergeeva-Olga [200]

Answer:

$30-3d\leq 20$

Step by step explanation:

Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.

As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.

We are told that the pool was open on Monday. The high temperature was $30^oC$ on Monday. So the decrease in temperature from Monday to Thursday will be $30-3d$ .

We have been given that the swimming pool is open when the high temperature is higher than $20^oC$ .

As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:

$30-3d\leq 20$

Therefore, the inequality $30-3d\leq 20$ can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.

7 0

3 years ago

Read 2 more answers

Assume that a and b are the legs of a right triangle and C is the hypotenuse.

ale4655 [162]

Answer:

b = 48

Step-by-step explanation:

a = 20

b = ?

c = 52

a^2 + b^2 = c^2