Answer:
Step-by-step explanation:
Your "y=2xsquared-12x+10" translates into y = 2x^2 - 12x + 10. This factors into y = 2(x^2 - 6x + 5).
Setting this = to 0 results in y = 2(x - 5)(x - 1) = 0, so that the x-intercepts are (5, 0) and (1, 0). The x-coordinate of the vertex lies halfway between x = 1 and x = 5, that is, at x = 3. Using synthetic division to evaluate y = 2x^2 - 12x + 10 at x = 3, we get
3 2 -12 10
6 -18
------------------
2 -6 -8
Therefore, the vertex is located at (3, -8).
Setting x = 0 results in the y-intercept: y = 2(0)^2 - 12(0) + 10 => (0, 10)
Hello!
The first thing you should notice is that the exponent will be less than 1, as raising 27 to any power greater than 1 will make it larger, and you're trying to figure out what makes it equal to 3, a number less than 27.
Raising a number to a fractional power is taking its nth root:
is
![\sqrt[3]{21}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B21%7D%20)
, so you'll really need to take the nth root of 27 to get 3. To figure out which root, write the number in exponential form with a base of 3:
= 3
=
Now, the bases are the same (they are both 3), so you can set the exponents equal to each other:
3x = 1
Divide both sides by 3 and you've isolated x:
Answer:
Given: 8^6/8
Answer:32768
Step by step explanation:
- To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.
- Since we have no parenthesis we do exponents first
- Since we are dividing we do 8^6-1 divided by 8
- The value of 8^6 is 262144
- Now we divide 252144 by 8 which gives us 32768
- Therefore, our answer is 32768
#LearningIsFun
The width of the river = 60m and so Zachary will be able to swim the river without getting tired.
<h3>What is Proportion ?</h3>
When two ratios are equal , the ratio are said to be in proportion.
As given in the question ,
the width of the river has to be determined
Looking at the figure , the triangle formed at the side of the river is a right triangle the hypotenuse will be determined from the Pythagoras theorem
20² +24² = y²
y = 21.2 m
As the corresponding sides are proportional
31.2 : z = 20:50
z = 78.1
The value of the width of the river will be determined by the Pythagoras Theorem
78.1² = 50² + x²
x = 60m
the width of the river = 60m
Therefore Zachary will be able to swim the river without getting tired.
To know more about Proportion
brainly.com/question/2548537
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answer
45 minutes
explanation
using the equation C(m) = 0.1m + 1, C(m) is the cost of the phone call (5.50)
5.50 = 0.1m + 1 subtract 1 from both sides
4.5 = 0.1m divide both sides by 0.1
45 = m
m is the number of minutes, so 45 minutes
