Answer:
The questions that are appropriate for the teacher to ask her population are:
How many hours of sleep do you get per night?
On average, how long does it take you to complete your homework?
What time do you leave for school in the morning?
Step-by-step explanation:
The survey is conducted among the seventh grade students so the valid question their teacher would have asked them is:
How many hours of sleep do you get per night?
On average, how long does it take you to complete your homework?
What time do you leave for school in the morning?
while the other two questions are invalid as it the students are young and they are not legal to vote.
also it is not necessary that they would arrive to school by car.<u> Please mark the brainliest!</u>
Answer:
<em>The value of k is 7</em>
Step-by-step explanation:
The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:
g(x) = f(x) +k
To know the value of k, we select a value for x and calculate the value of k.
For example, for x=0, f(0)=-6, g(0)=1, and:
g(0) = f(0) +k
1 = -6 +k
k = 7
We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:
g(-5) = f(-5) +k
7 = 0 +k
k = 7
The value of k is 7
X^2 + 9x^2
----------- = 16
(x + 3)^2
multiply each term by (x + 3)^2:-
x^2(x + 3)^2 + 9x^2 = 16(x + 3)^2
x^2( x^2 + 6x + 9) + 9x^2 = 16x^2 + 96x + 144
x^4 + 6x^3 + 18x^2 = 16x^2 + 96x + 144
x^4 + 6x^3 + 2x^2 - 96x - 144 = 0
This is difficult to solve algebraically so I drew a graph There are 2 real roots
x = -1.65 and x = 3.65 to nearest hundredth
Answer:
The slope is 1/3. Rise over run. It goes up 1 and over 3.
Step-by-step explanation:
= (3x² + x + 8) + (x² - 9)
= (3 + 1)x² + x + (8 - 9)
= 4x² + x - 1