Answer:
$9.59 for 7 bags of potatoes
Step-by-step explanation:
First you find the unit rate by dividing 6.85 by 5.
The unit rate should equal $1.37.
Then you multiply that and 7 which equals $9.59
The numeric value of the composite function at x = 2 is given as follows:
(f ∘ g)(2) = 33.
<h3>Composite function</h3>
The composite function of f(x) and g(x) is given by the rule presented as follows:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
In the context of this problem, the functions are given as follows:
The composite function is:
(f ∘ g)(x) = f(-2x) = (-2x)² - 3(-2x) + 5 = 4x² + 6x + 5.
At x = 2, the numeric value is given as follows:
(f ∘ g)(2) = 4(2)² + 6(2) + 5 = 33.
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The height of the pole is the vertical leg of the right triangle. The angle of depression is an exterior angle to the triangle at its upper angle. The angle of depression is complementary to the interior angle, so the measure of the interior angle is 15. The base angles are 90 and 75. Use the tangent ratio now, using the base angle of 75 and the height of the pole being 50: tan75=50/x.
Make sure your calculator is in degree mode to do this and get that x = 13.4
It would take 1.5 seconds for the diver standing on a spring board 24 feet above the pool to hit the water.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that d represent the height of the diver above the water and t is the time in seconds.
d(t) = -16(2t - 3)(t + 1)
The diver hit the water at d(t) = 0, hence:
0 = -16(2t - 3)(t + 1)
2t - 3 = 0; or t + 1 = 0
t = 1.5 seconds
It would take 1.5 seconds for the diver standing on a spring board 24 feet above the pool to hit the water.
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Answer:
In total they brought 111 cans
Step-by-step explanation:
17*6=102
102+9=111
