Answer:
2
Step-by-step explanation:
PEMDAS says to do the equations in parentheses first
(14-4) = 10
PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case
(10)2 = 20
20 ÷ 10 = 2
Answer:
Parallel means they have the same slope so, y=3x-8
You need 710 ft of fencing.
<span>The height of Gateway Arch shown on the Missouri quarter is 630 feet or 7,560 inches. Find how many 4 inch stacks of quarters make up the height of the Gateway Arch. If there are 58 quarter in 4 inch stack o, how many quarters high is the arch? </span>
<span>Hence to find how many 4 inch stacks of quarters make up the height of the </span><span>Gateway Arch,
Since the Gateway Arch is 7560 then for every stack is 4 inches to find the stacks all in all, we just have to divide 7560 / 4 = 1890
Then, to find </span><span>how many quarters high is the arch,
58 quarter x 4 inch = 232 quarters high in inches.
</span>
Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
<u>Determine the value of c:</u>
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
<u>Do the same with (3,10) to get a second equation:</u>
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
<u>Set the two equations equal to each other and solve for a and b:</u>
-2=a+b
8=9a+3b
<u>Multiply first equation by 3 and eliminate b to find a:</u>
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
<u>Substitute 7/3=a into the first equation:</u>
-2=7/3+b
-2-(7/3)=b
-13/3=b
<u>Final equation:</u>
y=7/3x²-13/3x+2
See the graph for a visual representation
