Answer:
y=6
Step-by-step explanation:
7y+6=18-5y
-5y, -6
2y=12
y=6
Answer:
the unknown number is -13
Step-by-step explanation:
4n -7 = -59
4n = -59 +7
n= -52 /4
n = -13
23. To find out whether Chris, Mary Beth, and Allison are in agreement with each other, we just need to find out what the percentage is that we are working on and use what we know to understand if they are in agreement.
Chris says that 46.2% of the votes went to a certain candidate. A percent is the fraction of parts-to-whole represented in a decimal form. A percentage is NOT in decimal form, however. To get a percentage in decimal form, you can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.
46.2% = 0.462
Based on this, we can see that at least Chris and Allison are in agreement, since Allison said that 0.462 voters voted for the candidate in question.
To find out if Mary Beth stands with them, we just have to divide the amount of people who she says voted for the candidate by the amount of voters in total to get her percentage.
231 / 500 = 0.462
This matches the other two's results, so we can safely come to our conclusion.
YES, Chris, Mary Beth, and Allison are in agreement on the population of voters who voted for the candidate.
Hope that helped! =)
Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form

where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:

We will solve this for x now by dividing each side by 4 and adding over the 6:

Answer: (B) x^3
Explanation:
If you compare the graphs of
all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1
Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.
Plugging x = -1 into x^3 leads to y = -1 as a result.