Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
4(x−7)=2(x+3)
Simplify both sides of the equation.
4(x−7)=2(x+3)
4x+−28=2x+6
4x−28=2x+6
Subtract 2x from both sides.
4x−28−2x=2x+6−2x
x−28=6
Add 28 to both sides.
2x−28+28=6+28
2x=34
Divide both sides by 2.
2x/2 = 34/2
x = 17
Answer:
f < 4
Step-by-step explanation:
3f + 9 < 21
21 - 9 = 12
12 / 3 = 4
Answer:
20 miles (Answer B)
Step-by-step explanation:
The northbound biker travels (4 mph)(4 hr) = 16 mi, and
the eastbound biker travels (3 mph)(4 hr) = 12 mi.
They travel at right angles to one another. Thus, the Pythagorean Theorem applies here. The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.
Answer B is correct.
Answer: The point of intersection is (0,4).
Step-by-step explanation:
Answer:
It's 19.
Step-by-step explanation:
Use order of operations (PEMDAS):
2^2[4+(3-6)^2]-13
Parentheses first:
= 2^2[4 + (-2)^2] - 13
= 2^2 ( 4 + 4) - 13
= 2^2 * 8 - 13
Now work out the exponent:
= 4*8 - 13
Now the multiplication:
= 32 - 13
= 19.
