Equation y=-4x
m=-4. Slope is -4 y-intercept is 0
y-12=2(x-1)
y-12=2x-2
y=2x-2+12
y=2x+10
Answer:
the figures are congruent because they have 3 congruent sides and three congruent angles
replace the numbers given for x & y so
the equation becomes 3*(-3) + 2*(-4) =
3*-3 = -9
2*-4 = -8
-9 + -8 = -17
Answer:
Option a. convergent: A
Step-by-step explanation:
a0=3/2
a1=9/8
a2=27/32
a1/a0=(9/8)/(3/2)=(9/8)*(2/3)→a1/a0=3/4
a2/a1=(27/32)/(9/8)=(27/32)*(8/9)→a2/a1=3/4
r=a1/a0=a2/a1→r=3/4
The abosute value of r= !r! = !3/4! = 3/4 = 0.75<1, the series is convergent
Answer:
These types of questions are not daunting if you break it down. First look at "Five less than twice the value of a number."
"Twice the value of a number" is simply 2x.
"Five less" is simply -5, so for the first part we have (2x-5)
Next, analyze the second part. "Three times the quantity of four more than one half the number."
Looking at "Three times the quantity" simply means "3 times something".
"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.
So the second part is simply 3(4+x/2).
Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.
2x-5 = 12 + (3/2)x
2x-(3/2)x = 17
x/2 = 17
x=34
Checking the left side, (2x-5) = 2(34) - 5 = 63.
Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.
