P = 2(L + W)
P = 22
L = 2W - 4
22 = 2(2W - 4 + W)
22 = 2(3W - 4)
22 = 6W - 8
22 + 8 = 6W
30 = 6W
30/6 = W
5 = W.....width is 5 cm
L = 2W - 4
L = 2(5) - 4
L = 10 - 4
L = 6....length is 6 cm
Answer:x is equal to 2. Hope this is helpful
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
<u>Details of the graph of the quadratic equation</u>
- Minimum value = <u>-1</u>
- Domain : <u>all real numbers</u>
- Range : <u>y ≥ -1</u>
Answer:
20 students
Step-by-step explanation:
If the class decreased by 15%, the students that she has now (17) represents a percentaje of:
100% - 15% = 85%
so<u> the 17 students are 85% of what she had</u>:
Students Percentage
17 ⇒ 85%
and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:
Students Percentage
17 ⇒ 85%
x ⇒ 100%
and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):
x = 17*100/85
x = 1700/85
x=20
2 years ago she had 20 students
9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
