One-third of a painting job takes 24 hours. How long will it take to complete the entire job?
1 answer:
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For this case we must find the value of "x", by trigonometric relations.
The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.
Rounding:
Answer:
21.4
Answer:
Vertex: (-4, -1)
Y-intercept: (0, 15)
Step-by-step explanation:
Given the quaratic function, h(x) = x² + 8x + 15:
In order to determine the vertex of the given function, we can use the formula, .
In the quadratic function, h(x) = x² + 8x + 15, where:
a = 1, b = 8, and c = 15:
Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.
x = -4
Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:
h(x) = x² + 8x + 15
h(-4) = (-4)² + 8(-4) + 15
h(-4) = 16 - 32 + 15
h(-4) = -1
Therefore, the vertex of the given function is (-4, -1).
<h3>Solve for the Y-intercept:</h3>The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:
h(x) = x² + 8x + 15
h(0) = (0)² + 8(0) + 15
h(0) = 0 + 0 + 15
h(0) = 15
Therefore, the y-intercept of the quadratic function is (0, 15).
The first step to solve this problem is to convert the first mixed number to an improper fraction.
÷ 3 + 
Dividing is equivalent to multiplying with the reciprocal value,, so next you will need to change the signs.
x +
Multiply the fractions
+
Finally,, add the two fractions together to get your final answer
This means that the correct answer to your question is .
Let me know if you have any further questions
:)
Dividing is equivalent to multiplying with the reciprocal value,, so next you will need to change the signs.
Multiply the fractions
Finally,, add the two fractions together to get your final answer
This means that the correct answer to your question is
Let me know if you have any further questions
:)