Answer:
w = -3
Step-by-step explanation:
-4w - 4 = 8
Combine the constants by adding 4 to both sides.
-4w = 12
Isolate w by dividing by -4.
w = -3
Check your work by plugging w = -3 into the original equation.
-4(-3) - 4 = 8
12 - 4 = 8
8 = 8
Your answer is correct.
Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
Answer: 98
Step-by-step explanation:
98 / (-7) = -14
Step-by-step explanation:
Replace each x in the expression/equation with the given value. Then use order of operations to simplify and solve. There are some great videos out there explaining the concept.
Answer:
\simeq 14.94 billion dollars
Step-by-step explanation:
During the period 1994 - 2004, the 'National Income' ,(NI) of Australia grew about 5.2% per year (measured in 2003 U. S, dollars). In 1994 , the NI of Australia was $ 4 billion.
Now,
(2020 - 1994) = 26
Assuming this rate of growth continues, the NI of Australia in the year 2020 (in billion dollars) will be,
![4 \times[\frac{(100 + 5.2)}{100}}]^{26}](https://tex.z-dn.net/?f=4%20%5Ctimes%5B%5Cfrac%7B%28100%20%2B%205.2%29%7D%7B100%7D%7D%5D%5E%7B26%7D)
=![4 \times[\frac{105.2}{100}]^{26}](https://tex.z-dn.net/?f=4%20%5Ctimes%5B%5Cfrac%7B105.2%7D%7B100%7D%5D%5E%7B26%7D)
=\simeq 14.94 billion dollars (answer)
