Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function

Use the distributive property to multiply the expression


For a function of the form
the x coordinate of the vertex is:

Then in this case the coordinate of the vertex is:


To obtain the y coordinate of the vertex we evaluate the function at 



Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for
and 
The correct answers are:
Second option
Third option
Fourth option
Okay so I am going to summarize the work out process because its a lot to
Here we go
1/3 (t) + 3/4 - 2/4 - t = ?
1/2 (simplify )
(1/3 (T)+3/4 - 1/2 - (t) = ?
t (2) / 2
1 - 2(t) / 2 = ?
3/4 (simplify this )
1/3(t)+ 3/4 - [1 - 2(t) / 2 = ?
1/3 (this is re last one you have to simplify)
L (Denominator): 3
R (Denominator): 4
L: [L.C.M] : 4
R: [L.C.M] : 3
Basically , we just switched the dominators around
So, Therefore The of t is -3/16
T = -3/16
Answer: b
Explanation: cube root is equal to the power of 1/3
Multiply the exponents 24/3=8
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
<h3>Area of Rectangle</h3>
The area of a rectangle is given as the product between the length and it's width.
Data;
- Length = 9in
- Area = 45in^2
- width = ?
- length 2 = 4in
- width 2 = 3in

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by

From the above calculations, we can see that the sheets are not similar as they have different areas.
Learn more on area of a rectangle here;
brainly.com/question/25292087
Answer:
$4020.52
Step-by-step explanation:
The future value is the principal multiplied by the amount $1.00 is worth in the future.
$4,000 × 1.00513 = $4020.52