<u>Answer:</u>
- The solution of the inequality is x < -2.
<u>Step-by-step explanation:</u>
<u>Let's simplify the inequality first.</u>
- => -4x < 8
- => -4x/4 < 8/4
- => -x < 2
- => x < -2
Hence, <u>the solution of the inequality is</u><u> x < -2.</u>
Hoped this helped.

Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

These relations between the solutions give us a brief idea of what the solutions should be like.
-8/12
add together but keep the negative
Answer:
a) 6.1 feet
b) 12.6 feet
Step-by-step explanation:
Using trigonometric ratios we know that:

AKA SohCahToa.
To find the height, we will use sine.

To find the length we will use cosine.

Answer:
- Considering the temperature is 0°C and
- It is changing at a rate of -3 per hour.
So, it took 11 hours for the change in temperature to be -33.
Step-by-step explanation:
Rate of change basically means the amount of change to how long it takes for the change to occur.
Rate of change = Change in Value/ Change in time
On a certain day the temperature changed at a rate of -3 per hour.
Let suppose the Temperature at 8:00 = 0°C
As the temperature changed at a rate of -3 per hour.
It means the Temperature at 9:00 = -3°C.
so
Rate of change = (-3 - 0)/(9:00 - 8:00) = -3°C per hour
So, the temperature to be -33°C, it would take 11 hour as -3 × 11 = -33.
Therefore, it took 11 hours for the change in temperature to be -33.