If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).
<h3>What is a rectangle?</h3>
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.
Then the length of the rectangle will be
area = length × width
Then we have
Area = 45x² − 42x − 48
Then the factor of the polynomial will be
Area = (5x − 8)(3x + 2)
Then the length of the rectangle will be (3x + 2).
More about the rectangle link is given below.
brainly.com/question/10046743
f(5) is -8 ⇒ 1st answer
Step-by-step explanation:
Function is a relation between set of of ordered pairs (x , y),and every x has only one y
Examples:
- {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
- {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5
The notation of the function is f(x) = y
The table:
→ x : f(x)
→ -4 : -2
→ -1 : 5
→ 3 : 4
→ 5 : -8
From the table
∵ x = -4
- The corresponding value of y to x = -4 is -2
∴ f(-4) = -2
∵ x = -1
- The corresponding value of y to x = -1 is 5
∴ f(-1) = 5
∵ x = 3
- The corresponding value of y to x = 3 is 4
∴ f(3) = 4
∵ x = 5
- The corresponding value of y to x = 5 is -8
∴ f(5) =-8
f(5) is -8
Learn more:
You can learn more about the functions in brainly.com/question/10879401
#LearnwithBrainly
Answer:
D is the correct answer
Step-by-step explanation:
Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
> 
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
Answer:
Do you have an equation to find the answer?
