Answer:
Step-by-step explanation:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate =
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
Answer:
<em>please see attached image</em>
Step-by-step explanation:
This function's graph can be achieved by plugging in different coordinates. Because this can be time consuming, just have a graph provided by Desmos for reference(see attachment)
The line slightly to the right has no y-intercept and an x-intercept of (2.732, 0).
The line slightly to the left has an y-intercept of (0,1), and an x-intercept of (-2,732, 0)
From the graph, we can determine this function has multiple solutions.
Hope this helps!
Answer:
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
Step-by-step explanation:
Horizontal translation of the graph of a function is accomplished by replacing x with (x-h) for translation h units to the right. Vertical translation of the graph is accomplished by adding the amount of translation to the function value: f(x)+k translates the graph k units upward.
Reflection of a function over the x-axis is accomplished by changing the sign of every function value: -f(x).
<h3>Application</h3>
We observe that f(x) has been transformed by ...
- multiplying by -1 to get -f(x)
- replacing x with (x -2) to get -f(x -2)
- adding -3 to the function value to get -f(x -2) -3
The effect of these transformations is (correspondingly) ...
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
__
The attached graph shows a function f(x) (red) and the transformed function (blue).
Answer:
30 mm
Step-by-step explanation:
The volume of a rectangular prism is the product of its three dimensions. To find the missing dimension, divide the volume by the product of the two that are given:
(165000 mm^3)/((100 mm)(55 mm)) = 165000/5500 mm^3/mm^2 = 30 mm
<span>A) Joey used 10 congruent triangles to create a regular decagon.
What kind of triangles is he using?
He is using isosceles triangles. because the two sides (of each triangle) whose vertix is at the center of the decagon are congruent, while the third side, is different.
b)Joey used 10 congruent triangles to create a regular decagon.
Find the three angle measures of one of the triangles. Explain how you know.
The angle between the two congruent sides is equal to 360° divided by the number of triangles.
360° / 10 = 36.
The other two angles are congruent and must obey the rule of 180°.
2x + 36 = 180 => 2x = 180 - 36 = 144
x = 144 / 2 = 72°
Then two angles are 72° and the other is 36°.
c)Joey used 10 congruent triangles to create a regular decagon.
If the area of each triangle is 14.5 square inches, then what is the area of the regular decagon? Show all work.
The area of the decagon is ten times the area of a triangle.
Area of the decagon = 10 * 14.5 in^2 = 145 in^2.
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