15:PLEASE HELP Write 32 as a power of the base2
1 answer:
<h3>Answer: 2^5</h3>
The ^ symbol means exponent. We have 2 as the base and 5 as the exponent. You might write it like this though 2^5 is more common with computers and keyboards.
Using your calculator, you should find that 2^5 = 2*2*2*2*2 = 32. We have five copies of the base 2 multiplied together.
You can use logs to determine how to write 32 as a base 2. You would do so like this
log(32)/log(2) = 5
it doesn't matter which base log you use. This is through the change of base formula.
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Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function
Use the distributive property to multiply the expression
For a function of the form the x coordinate of the vertex is:
Then in this case the coordinate of the vertex is:
To obtain the y coordinate of the vertex we evaluate the function at
Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for and
The correct answers are:
Second option
Third option
Fourth option
Answer:
Option b. Two solutions
Step-by-step explanation:
In order to find how many real number solutions the equation has we have to solve it
Given equation: -4x² + 10x + 6 = 0
taking 2 common from the equation
2(-2x² + 5x + 3) = 0
-2x² + 5x + 3 = 0
taking minus sign common from the above equation
2x² - 5x - 3 = 0
We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²
2x² - 6x + x - 3 = 0
taking common above
2x(x-3) + 1(x-3) = 0
taking (x-3) common
(2x+1)(x-3) = 0
2x + 1 = 0
2x = -1
x =
x - 3 = 0; x = 3
the solutions are
Both values are real numbers, therefore correct option is b