460 < 2x + 10 and 2x + 10 < 660
Solve x in each equation:
Rewrite so X is on the left side:
2x +10 >460
Subtract 10 from each side:
2x > 450
Divide both sides by 2:
x > 450 /2
x > 225
2x +10 <660
Subtract 10 from both sides:
2x < 650
Divide both sides by 2:
x < 650 / 2
x < 325
Combine the answer: 225 < x < 325
This means her carb intake needs to be more than 225 and less than 325 grams.
Answer:
(a) 120 choices
(b) 110 choices
Step-by-step explanation:
The number of ways in which we can select k element from a group n elements is given by:
So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:
Then each student have 120 possible choices.
On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:
1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:
2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:
3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:
So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:
50 + 50 + 10 = 110
Answer:
To find a point that belongs to the graph, you have to assume the value of one variable and compute the other one. For example, if x = 0, then y = -3 -0 = -3. Similarly:
x y
0 -3
1 -4
2 -5
To make the graph, locate the previous points on the coordinate plane and then draw the line that passes through them (see figure attached)
Answer:
y = (x -2)^2 +4
Step-by-step explanation:
The vertex form of the equation of a parabola is ...
y = a(x -h)^2 +k
for vertex (h, k) and vertical scale factor "a". When a > 0, the parabola opens upward.
One equation for your parabola could be ...
y = (x -2)^2 +4
__
In standard form this one is ...
y = x^2 -4x +8
Answer: 200,000,000 or 2 million
Step-by-step explanation: