B) 66.5 square inches
C) 114 square inches
D) 180.5 square inches
Answer:
if u add it together u get 180.5 square inches
hope this helps u guys
Step-by-step explanation:
g(x)= 5x²+3
Answer:
see the explanation
The graph in the attached figure
Step-by-step explanation:
we have
Function f(x)
----> equation A
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (0,-3)
The y-intercept is the point (0,-3) [value of y when the value of x is equal to zero]
The x-intercepts are the points
and
Function g(x)
----> equation B
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (0,3)
The y-intercept is the point (0,3) [value of y when the value of x is equal to zero]
The function don't have x-intercepts (the roots are complex numbers)
We can say that the function g(x) is the translation of the function f(x) 6 units up
using a graphing tool
The graph in the attached figure
The graphs of these quadratic functions are similar in shape, with the main differences being vertical shifts and y-intercepts. The graph of g(x)=5x^2 +3 is obtained by shifting the graph of f(x)=5x^2 −3 upward by 6 units.
The graphs of the quadratic functions f(x)=5x^2 −3 and g(x)=5x^2 +3
Both functions are quadratic, which means they have a graph in the shape of a parabola. The coefficient of the x^2 term in both functions is 5, indicating that the parabolas open upwards.
Now, let's analyze the differences:
Vertical Shift:
For f(x)=5x^2 −3, there is a vertical shift downward by 3 units due to the constant term -3.
For g(x)=5x^2 +3, there is a vertical shift upward by 3 units due to the constant term +3.
Y-Intercept:
The y-intercept of f(x) occurs when x=0, and f(0)=−3, so the y-intercept is (0, -3).
The y-intercept of g(x) occurs when x=0, and g(0)=3, so the y-intercept is (0, 3).
Overall Shape:
Both graphs have the same overall shape since the coefficient of the
x^2 term is the same in both functions.
Symmetry:
The parabolas are symmetric with respect to the y-axis, as changing
x to −x in the quadratic term does not affect the overall value of the function.
Answer:
60*100 divide 84
Step-by-step explanation
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?
The probability of drawing a tile numbered 5 from the first bag and an odd tile from the second bag is ¹/₁₂
Given;
numbers of tiles in each bag, 1, 2, 3, 4, 5, 6
To find:
the probability of drawing a tile numbered 5 from the first bag and;
an odd tile from the second bag
The first draw: there is only one tile numbered 5
The second draw: there are 3 odd numbers (1, 3, 5)
The combined probabilities:
Therefore, the probability of drawing a tile numbered 5 from the first bag and an odd tile from the second bag is ¹/₁₂
To learn more about probability, please visit: brainly.com/question/24141156