Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
The new height of the water is = 9.34 inches (approx)
Step-by-step explanation:
Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.
Let the new height of water level be x inches.
The volume of the container = (20×16×12) cubic inches
=3840 cubic inches
According to the problem,
3840 - (20×16×x) = 850
⇔3840 -320x = 850
⇔-320x =850-3840
⇔-320 x = -2990
⇔x = 9.34 inches
The new height of the water is = 9.34 inches (approx)
Answer:
45q + 35
Step-by-step explanation:
Answer:
Option E
Step-by-step explanation:
This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.
Answer:
burrito price=$8
Taco Price=$6
Step-by-step explanation:
x=burrito price
y=taco price
3x+4y=48
solve for y
y=
−3
/4
x+12
plug in
6x+2y=60
6x+2(
−3
/4
x+12)=60
6x+2(
−3
/4
x+12)=60
x=8
now plug in for x
3x+4y=48
3(8)+4y=48
y=6
y=6
x=8
burrito price=$8
Taco Price=$6
