Answer:
12 feet of flooring cost $51
Step-by-step explanation:
68/16 = 4.25
4.25 x 12 = 51
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (5, 2), thus
y = a(x - 5)² + 2
To find a substitute (4, - 3) into the equation
- 3 = a + 2 ⇒ a = - 3 - 2 = - 5
y = - 5(x - 5)² + 2 ← in vertex form
Expand (x - 5)² and distribute by - 5
y = - 5(x² - 10x + 25) + 2
= - 5x² + 50x - 125 + 2
= - 5x² + 50x - 123 ← in standard form
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You wan't to get it into a format of (x+a)(x+b)=0
where a+b = 3 (the one from the 3x)
and where a*b= -4 (from the last -4)
(x+4)(x-1)=0
See how 4+(-1) = 3 and (4)(-1) = -4
now find what values of x would make the equation equal 0
x=-4
(-4+4)(-4-1) = (0)(-5) = 0
x=1
(1+4)(1-1) = (5)(0) = 0
1)Find the lcd for 1/8+5/6
=2/24+5*4/24
since the denominators are equal, combine the fractions
=3+4*5/24
=23/24
2)Convert the mixed numbers to improper
=15/8*17/5
=255/40
=51/8
=6 3/8
3)1/9 divided by 3
1/3*9
=1/27
4) 2 3/5* 2 6/35
13/5*76/35
13*76/175
988/175
=5 113/175
