Answer:
2 gallons of orange juice
Step-by-step explanation:
Answer: 1/4
Step-by-step explanation: 20 is a fourth of 80
Please mark brainleist if I got it right. I really need it to level up
Answer:
In summary:
- Axis of symmetry: Not determinable from the given information.
- X-intercepts: (-1, 0) and (1.5, 0).
- Y-intercept: Not determinable from the given information.
- Vertex: (-1, 4).
- Interval of decrease: (-∞, -1) and (1.5, ∞).
Step-by-step explanation:
To identify the axis of symmetry, x-intercepts, y-intercept, and vertex of a graph, we need to analyze the given information and graph:
1. Axis of symmetry: The axis of symmetry is a vertical line that divides the graph into two symmetric halves. It is represented by the equation x = h, where h is the x-coordinate of the vertex. Based on the given information, we don't have the equation of the graph or the value of h, so we cannot determine the axis of symmetry.
2. X-intercepts: X-intercepts are the points where the graph intersects the x-axis. These points have a y-coordinate of 0. From the given information, we have the x-intercepts as follows:
- First x-intercept: (-1, 0)
- Second x-intercept: (1.5, 0)
3. Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It has an x-coordinate of 0. From the given information, we don't have the y-intercept, so we cannot determine its value.
4. Vertex: The vertex is the highest or lowest point on the graph. It has an x-coordinate and a y-coordinate. From the given information, we have the vertex as follows:
- Vertex: (-1, 4)
Now, let's determine the interval in which the function is decreasing. To do this, we need to analyze the graph and observe where the graph is sloping downwards or decreasing. From the given information, we can see that the graph is decreasing in the interval (-∞, -1) and in the interval (1.5, ∞). These intervals represent the regions on the x-axis where the function is decreasing.
Answer:
45
Step-by-step explanation:
do it
To find the minimum value of the sum of the squares of distances, we can use calculus. The minimum value can be expressed as $233/9$.
To find the minimum value of $PA^2 + PB^2 + PC^2$, we need to find the point $P$ that minimizes the sum of the squares of the distances from $P$ to $A$, $B$, and $C$. Let's denote the coordinates of $P$ as $(x, y)$. Using the distance formula, we can find the expressions for the squares of the distances:
The sum of these expressions is $PA^2 + PB^2 + PC^2$:
$PA^2 + PB^2 + PC^2 = (x - 5)^2 + (y - 12)^2 + x^2 + y^2 + (x - 14)^2 + y^2$
Simplifying the expression:
$PA^2 + PB^2 + PC^2 = 3x^2 + 3y^2 - 38x - 24y + 365$
To find the minimum value, we can use calculus. Taking the partial derivatives of this expression with respect to $x$ and $y$ and setting them to zero, we can find the critical points. The coordinates of the point $P$ that minimizes the sum of the squares of the distances are $(x, y) = (13/3, 8/3)$. Plugging these values into the expression, we get:
$PA^2 + PB^2 + PC^2 = (13/3)^2 + (8/3)^2 = 233/9$
Therefore, the minimum value can be expressed as $233/9$, and $m + n = 233 + 9 = 242$.
Learn more about Sum of squares of distances here:
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Answer:
the answer is C
Step-by-step explanation:
19.65 + 2.35 is exactly 22, not including tax
Answer:
A and C
Step-by-step explanation:
A. 15% off $25
15% = 0.15
0.15 x 25 = 3.75
25 - 3.75 = 21.25
22 or under? Yes
B. 30% off $32
30% = 0.30
0.30 x 32 = 9.60
32 - 9.60 = 22.40
22 or under? No
C. $19.65 plus a 2.35 shipping fee
19.65 + 2.35 = 22
22 or under? Yes
D. $20.45 plus a $1.60 shipping fee
20.45 + 1.60 = 22.05
22 or under? No
Even though this is late, the other answer did not mention A being the answer as well so I hope this helped!