Just took the test and got the the correct answer *\(♡°▽°♡)/*
Look at the image down below!!
Answer:
see below
Step-by-step explanation:
f(x)= -(x-2)^2 +4
This is the vertex form of the equation for a parabola
y= a ( x-h)^2 +k where (x,k) is the vertex of the parabola
a = -1 h= 2 k = 4
The vertex is ( 2,4)
<em><u>10 subtracted from the quotient of a number and -3 is at least -1 is:</u></em>
![\left(\frac{x}{-3}\right)-10\ge \:-1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-27\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-27]\end{bmatrix}](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7Bx%7D%7B-3%7D%5Cright%29-10%5Cge%20%5C%3A-1%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-27%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-27%5D%5Cend%7Bbmatrix%7D)
<em><u>Solution:</u></em>
<em><u>Given statement is:</u></em>
10 subtracted from the quotient of a number and -3 is at least -1
Quotient means reuslt of dividing two numbers
Let the number be "x"
quotient of a number and -3 = 
Therefore,
10 subtracted from is at least -1
at least means "less than or equal to"
<em><u>Which is translated into algebraic expression as:</u></em>
<em><u>Solve the above inequality</u></em>
When we multiply or divide by negative number. we have to flip the inequality sign
Thus the solution of inequality is found
<h3>
Answer: 20</h3>
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Explanation:
x = total number of students surveyed
According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.
Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.
We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"
So,
(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4
0.125x = (0.075x) + 4
0.125x-0.075x = 4
0.05x = 4
x = 4/0.05
x = 80
There are 80 students surveyed.
Of those eighty students, 0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.
The last step is to calculate how many of the students have black hair based on the sample size we just found.
The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair
Answer:
The answer my friend is B. :)
Step-by-step explanation:
