Answer:
Step-by-step explanation:
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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Answer:
21.6 or 22
Step-by-step explanation:
Triangles have same angles. This means that they are proportion.
50/27 = 40/x
when you cross multiply to solve x, 50x = 1080
so x = 21.6
If you have to nearest whole number, it will be 22
<h2>
Answer:</h2>
<em><u>The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
The maximum height of the vehicle which is capable of passing under the bridge is 12 feet and 5 inches.
So,
Now we know that,
1 feet = 12 inches
So,
12 feet = 12 x 12 = 144 inches
So,
Total height of the vehicle which is permissible to pass under the bridge is,
12 feet 5 inches = 144 + 5 = 149 inches
Also,
Height of the truck = 162 inches
Therefore, we can see that the permissible height is smaller than the height of the vehicle.
Height of vehicle which is more than permissible height is by,
162 - 149 = 13 inches
<em><u>Therefore, the truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>
Answer:
C
Step-by-step explanation:
subtract 5 from both sides
