Step-by-step explanation:
-(4x + 3x) = 10x - 5
We would have to multiply the -1 by the 4x and the 3x which is in the bracket.
Though there is no 1 behind the bracket but, behind any bracket there is 1 there even though it's ignored.
So when we multiply -1 by 4x we are going to get;
-4x
And when we multiply -1 by 3x It's going to be;
-3x
We have -3 and -4 because whenever we multiply any positive and negative number the product is negative.
So;
-4x - 3x = 10x - 5
So now, we group like terms;
- 4x - 3x - 10x = -5
So now that we have grouped, we have to add the negative numbers even though there is no addition sign there we would have to add
-17x = -5
So now we divide both sides by;
-17
Which is going to be;
x=
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:
<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
Answer:
600,000 km²
Step-by-step explanation:
Using the exponential regression calculator : the regression fit obtained for the data is :
36510 * (1.08^x)
After 40 years ;
x = 40
Hence,
y = 36510 * 1.08^40
y = 36510 * 21.72452
y = 793,162.27 km
Hence, y is closest to 800,000 km
Could be 154. 154 rounded to nearest ten= 150, rounded to nearest 100= 200
