Determine whether the function y=0.8(2/3)^x represents exponential growth or decay.
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Select the correct answer.The function f(x) is given by the table of values.x 1 2 3 4f(x) 1 8 27 64If f(x) is shifted 4 units up to obtain g(x), which table of values represents the function g(x)?x 5 6 7 8g(x) 5 12 31 68x 1 2 3 4g(x) 5 12 31 68x 5 6 7 8g(x) 1 8 27 64x 1 2 3 4g(x) 4 32 108 256
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1. What is the coefficient of x in the division (18x^3 + 12x^2 – 3x) / 6x^2?A) 3 B) 2 C) -0.5 D) -3
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It would look more like 1
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-7 (as an exponent)
x
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(100/x)*x=(32.2/24.15)*x - we multiply both sides of the equation by x
100=1.33333333333*x - we divide both sides of the equation by (1.33333333333) to get x
100/1.33333333333=x
75=x
x=75
now we have:
24.15 is 75% of 32.2
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Answer:
4.9%
Step-by-step explanation:
This question is incomplete. However; it can be found on search engines. The complete question is as follows :
An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.
Solution :
In an ice chest there are different cans of juice. Among them
Number of cans of apple juice = 6
Number of cans of grape juice = 8
Number of cans of orange juice = 4
Number of cans of mango juice = 2
Total number of cans of juice = 6 + 8 + 4 + 2 = 20
Let A, B and C are the event of selecting of three cans. The events A, B and C are dependent.
Probability of selecting three cans of juice
P =
P (A) =
P (B) =
P (B) =
P = ×
×
=
= 0.049 or 4.9%
Probability of selecting three cans of grape juice is 4.9%
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Answers
y = 3(x - 2)(x - 2) - (x - 5)(x - 5)
y = 3(x(x - 2) - 2(x - 2)) - (x(x - 5) - 5(x - 5))
y = 3(x(x) - x(2) - 2(x) + 2(2)) - (x(x) - x(5) - 5(x) + 5(5))
y = 3(x² - 2x - 2x + 4) - (x² - 5x - 5x + 25)
y = 3(x² - 4x + 4) - (x² - 10x + 25)
y = 3(x²) - 3(4x) + 3(4) - (x²) + (10x) - (25)
y = (3x² - 12x + 12) + (-x² + 10x - 25)
y = (3x² - x²) + (-12x + 10x) + (12 - 25)
y = 2x² - 2x - 13
+ 13 + 13
y + 13 = 2x² - 2x + 0.5
y + 13 + 0.5 = 2(x² - x + 0.25)
y + 13.5 = 2(x² - 0.5x - 0.5x + 0.25)
y + 13.5 = 2(x(x) - x(0.5) - 0.5(x) + 0.5(0.5))
y + 13.5 = 2(x(x - 0.5) - 0.5(x - 0.5))
y + 13.5 = 2(x - 0.5)(x - 0.5)
y + 13.5 = 2(x - 0.5)²
- 13.5 - 13.5
y = 2(x - 0.5)² - 13.5
Answer: on Edge its choice D or 2(x - 1/2)^2 - 27/2
Step-by-step explanation:
The other guy has the same answer just in decimal form and I'm a big brain boy so I helped out
Answers
The solution is, the triangle is an isosceles triangle.
What is Triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Here, we have,
To solve this problem we simply need to find the lengths of each side of the triangle.
To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2.
Using points J and K, we find that the length of JK is
√(3-4)^2+(-1-(-4))^2
=√(-1)^2+(3)^2
=√1+9
=√10.
Then we do the same for JL and KL.
JL is √(3-1)^2+(-1-(-3))^2
=√(2)^2+(2)^2
=√4+4
=√8.
KL is √(4-1)^2+(-4-(-3)^2)
=√(3)^2+(-1)^2
=√9+1
=√10.
Now we have all three sides of the triangle: √10, √8, and √10.
Check for any similarities: you have two sides of √10.
Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.
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