Answer:
(x + 5)
Step-by-step explanation:
(x² - 25) ÷ (x-5)
=(x² - 5²) ÷ (x-5)
Using the formula a² - b² = (a + b)(a - b) you get
= (x + 5)(x - 5) ÷ (x - 5)
With division you can cut both (x - 5)
So the answer is (x + 5)
Answer:
y = x^2 +6x+8
Step-by-step explanation:
First find the zeros, -4 ,-2
y =a (x - -4) (x - -2)
y = a(x+4)(x+2)
Then it is multiplied by a constant so pick a point on the curve and solve for the constant
We will use (0,8)
8 = a(0+4)(0+2)
8 = a(8)
a =1
y = (x+4)(x+2)
Writing in standard form
FOIL
y = x^2 +2x+4x+8
y = x^2 +6x+8
Answer: The equations are 5t + e = 725 and 3t + e = 505
Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence we shall call the treadmill t, and we shall call the elliptical machine e.
If on Saturday, she ran 5 miles on the treadmill and 1 mile on the elliptical machine and she burned 725 calories in the process, we can express this as
5t + e = 725 ------(1)
Also on Sunday, she ran 3 miles on the treadmill and 1 mile on the elliptical machine and burned 505 calories in the process, that too can be expressed as
3t + e = 505 ------(2)
We now have a pair of simultaneous equations which an be solved by the elimination method (reason being that on of the unknowns have the same coefficient, that is variable e).
Subtract equation (2) from equation (1) and you arrive at;
2t = 220
Divide both sides of the equation by 2
t = 110
Having calculated the value of t, substitute for the value of t into equation (1)
5t + e = 725
5(110) + e = 725
550 + e = 725
Subtract 550 from both sides of the equation
e = 175
The above calculations shows that the calories burned on each gym equipment are;
Treadmill = 110 per hour
Elliptical = 175 per hour
See how there are two boxes containing three dots on a box and whisker plot. The first quartile is the dot right on the beginning of the first box. On this plot it is 42.
Look at the picture I attached to help you remember where different parts of the plot are located.
