Answer:
D
Step-by-step explanation:
As we can observe from the answers the representation is about the pair of points. We can sort it out by excluding the wrong options.
Options B and C is incorrect because the place of x and y coordinate is given mistakenly for the point (1,2)
The option A is incorrect due to the same problem for the point (8,7)
The correct option is D.
Answer:
Step-by-step explanation:
Solve for 'x'.
To solve for 'x', isolate 'x'.
2.8a + 3.2x + 1 = 16.6
Subtract 1 from both sides. {Subtraction property of equality}
2.8a + 3.2x = 16.6 - 1
2.8a + 3.2x = 15.6
Subtract 2.8 a from both sides.
3.2x = 15.6 - 2.8a
Now, divide both sides by 3.2. {Division property of equality}
The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
<h3>How to define the function?</h3>
The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
- f(x) = 8x³ + 4x² - 6x + 5.
- g(x) = 2x³ + x² - 4x + 7.
Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
More can be learned about operations with functions at brainly.com/question/2723982
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There were 54 students in each bus
First subtract 7 then divide what you got by 6.
Hope this helps!
Answer:
X=3/2 and 2/3
Step-by-step explanation:
6x^2 - 13^x + 6= 0
6x^2 - 4x - 9x + 6=0
By factorising...
2x(3x - 2) - 3(3x - 2)=0
(2x - 3) (3x - 2)=0
2x - 3=0
2x=3
X=3/2
3x - 2=0
3x=2
X=2/3
Hence, X=3/2 and 2/3
