4(x+2)=3(x-2)
Multiply the first bracket by 4
Multiply the second bracket by 3
4x+8=3x-6
Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)
4x-3x+8=3x-3x-6
x+8=-6
Move positive 8 to the right hand side
x+8-8=-6-8
x=-14
Check answer by using substitution method
Use x=-14 into both of the equations
4(-14+2)=3(-14-2)
-56+8=-42-6
-48=-48
Answer is -14- D)
Answer:
the speed of the plane was 210 mph.
Step-by-step explanation:
Answer: the maximum number of bundles of comic books that the box can carry is 7
Step-by-step explanation:
Let x represent the maximum number of bundles of comic books that the box can carry.
If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.
A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is
8x ≤ 60
x ≤ 60/8
x ≤ 7.5
So basycilly slope intercept form is y=mx+b where m=slope and b=y intercept
slope=-1
subsiute
y=-1x+b
y=-x+b
so we are given the point (-3,2)
x=-3 and y=2 is one solution
subsitue and solve for b
2=-(-3)+b
2=3+b
subtract 3 from both sides
-1=b
the slopt inercetp form is y=-x-1
Point slope form of a line:

where

is your slope and

is a point on your line.
For a line with a slope of 3/5 that passes through (10, -2)...

Let's plug these values into our formula.

Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.

There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.