Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
She would need to buy 18 baskets of apples because 36/2=18
'is' in mathematics means the equal sign
'of' in mathematics means the multiplication sign
the number can be any variable you chose it to be
Divide both sides by 28
Multiply by 100 on both sides to isolate 'x'
14 is 28% of 200
Direct variations look like this (y = 3x_
Not direct variations (or inverse variations) look like this (y= 1/3x.) They are often in fraction form.
So, in your problem the direct variations are:
y= 3x
x = -1
-0.5x = y
y= 2.2x +7
y= 4
The non-direct variations are:
y = 2/7x
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
