Answer:
A = 21
J = 2A = 42
C= A+5 =26
Step-by-step explanation:
C= christines text messages
J = jims messages
A = ali messages
Jim sent 2 times as many messages as Ali.
J = 2A
Ali sent 5 fewer messages than Christine.
A =C-5
A+5 =C
Christine, Jim, and Ali sent a total of 89 text messages
C+J+A = 89
substitute
C +5= A
A+5 +J+A = 89
combine like terms
2A +5+J = 89
now substitute J = 2A
2A +5+2A = 89
combine like terms
4A +5 = 89
subtract 5 to each side
4A +5-5 = 89-5
4A = 84
divide by 4
A = 21
J = 2A = 42
C= A+5 =26
Answer:
The area of a rectangle is:
\sf A=lw
Plug in what we know:
\sf x^2-7x+10=l(x-5)
Factor the left side:
\sf (x-2)(x-5)=l(x-5)
Divide (x - 5) to both sides:
\sf l=\boxed{\sf x-2}
So the length is x - 2 meters.
Step-by-step explanation:
Answer: plot points (0,-2) (1.-5) (2.-8) (-1.1) (-2.1) makes a upside down V
-3|0+2|+4=-2
-3|1 +2|+4= -5
-3|2+2|+4= -8
-3|-1+2|+4=1
+3|-2+2|+4=1
Step-by-step explanation:
31.5749...9...9....9....9....
Answer: a) H = h( 0.5 )^n
b) H = 1.125inches
Step-by-step explanation:
Let H = height of the ball
n = number of time the ball bounces
h = initial height.
The exponential function to model the height of the ball will be:
H = h( 1 - 0.5)^n
H = h( 0.5 )^n
It's minus because the height of the ball is decreasing.
h = 36 inches
n = 5
H = 36( 1 - 0.5 ) ^5
H = 36( 0.5 )^5
H = 36 × 0.03125
H = 1.125inches
