Step-by-step explanation:
you've been doing so much for your life
52 minutes 30 seconds
Take 60 minutes divide it by 8 to figure out what 1/8 of an hour is.
Then multiply our answer by 7 to find out how many minutes are in 7/8 of an hour.
Answer: k = 12
<u>Step-by-step explanation:</u>
x² + kx + 36 = 0
In order for x to have exactly one solution, it must be a perfect square.
(x + √36)² = 0
(x + 6)² = 0
(x + 6)(x + 6) = 0
x² + 6x + 6x + 36 = 0
x² + 12x + 36 = 0
k = 12
W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
When x=0, y=4...
Therefore:
4=a*b⁰
b⁰=1, so a=4.
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When x=1, y=2...
Therefore:
2=4*b¹
4b=2
b=2/4
So... b=1/2.
This means that:
y=4*((1/2)^x)