Answer:
Width = 26 inches
Step-by-step explanation:
The area of the rectangle is:
area = (length*width)
416 = a*b
a = b/2 + 3
a = length
b = width
then:
416 = (b/2 + 3) (b)
416 = b*b/2 + b*3
416 = b²/2 + 3b
0 = b²/2 + 3b - 416
b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)
b = {-3±√(9+832)} / 1
b = {-3±√841}
b = -3±29
only take the positive value becuse is a natural number
b = -3+29
b = 26 inches
a = b/2 + 3
a = 26/2 + 3
a = 13 + 3
a = 16 inches
Check:
416 = 16 * 26
1. 3 foot
2. 4 yard
3. 1 yard
4. 4 foot
5. 6 foot
6. 108 inch
7. 7.5 foot
8. 66 inch
9. 216 inch
10. 36 foot
11. 3.75 foot
12. 30 yard
Y=x+4
x=0 y=4
x=1 y=5
x=2 y=6
x=3 y=7
plot the points at
(0,4) (1,5) (2,6) and (3,7)
Non negative real numbers (y20)
Answer: Option B.
<u>Explanation:</u>
A non negative real number is a real number that that is either positive or zero. It's the association of the normal numbers and the number zero. In some cases it is alluded to as Z*, and it tends to be characterized as the as the set {0,1,2,3,… ,}. Z, the arrangement of whole numbers, is characterized as {… ,- 3,- 2,- 1,0,1,2,3,… }.
Since zero is commonly viewed as unsigned (neither positive nor negative) at that point, truly, it ought to be remembered for a lot of non-negative genuine numbers since it 'fits' the name. On the off chance that you needed to avoid zero, you could request the positive genuine numbers or the negative genuine numbers.
Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
