Answer:
-19/9
Step-by-step explanation:
First, you would plug in the numbers for y and r. Therefore, your equation should now be 5 = 9x + 24. Now you would put like terms on the same side. It now then look like -19 = 9x. You divide by 9 to get the x by itself. The answer should be x = -19/9.
Amount of liquid plant fertilizer in the container that the gardener has = 6 1/5 pounds
= 31/5 pounds
We already know that 1 pound = 16 ounce
Then
Amount of liquid plant fertilizer in the
container that the gardener has = (31/5) * 16 ounce
= 496/5 pounds
Amount of liquid plant fertilizer that the gardener uses on Sunday = 2 1/2 ounces
= 5/2 ounces
Then
The amount of liquid plant fertilizer that are left= (496/5) - (5/2) ounces
= (992 - 25)/10 ounces
= 967/10 ounces
= 96.7 ounces
So the total amount of liquid plant fertilizer left is 96.7 ounces.
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:

You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:

Knowing these values, you can substitute them into
:

Now you must evaluate:

Finally, rounding to the nearest hundreth, you get:

Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:


Putting into vertex form, remember that:

In this question:
, to put into this format:

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:


So the correct answer is:
A. y = 7(x + 1)²-3