These are 3 questions and 3 answers.
1) Question 18
Answer: 3
Explanation:
i) Equation given: 3x - y = - 4
ii) Transform to slope-intercept form: y = mx + b, where m is the slope.
y = 3x + 4
iii) Then, the slope is m = 3.
2) Question 19
Answer:
17 horizontal layers
43 bricks are left
Explanation:
i) Data:
number of bricks: 5500
number of bricks per horizontal layer: 321
ii) Calculations:
Divide the number of bricks by the number of bricks per horizontal layer: you need both the quotient and the remainder.
5500 ÷ 321 = 17 and 43 are left.
3) Question 20
Answer: indefinite
Explanation:
The line is vertical.
All the vertical lines have indefinite slopes.
That is because the slope is given by:
slope = change in y / change in x.
But x is constant, which means that the change in x is zero. And, since the division by zero is not defined, the slope is not indefinite.
Answer:
What is the reciprocal 1 1/3
Step-by-step explanation:
Answer:
Each additional cup is 1 centimeter.
Step-by-step explanation:
We know this because we can see the height on the graph. For each number of cups increased (y-axis), 1 centimeter in height increases as well.
Therefore, we can say that each additional cup is 1 centimeter.
Answer:
x = -8, 1
Step-by-step explanation:
Hi there!
Move 8 to the other side:
Now, we can ask ourselves: what two factors of -8 add to 7? Those two numbers would be 8 and -1. Knowing this, factor:
Because of the zero product property (that states that if the product of two numbers is 0, then one of the numbers must be equal to 0), we can find the solutions to the quadratic by setting each term equal to 0:
Therefore, the solutions of the quadratic are -8 and 1.
I hope this helps!
You keep multiplying by 3. The recursion has nothing to do with 2. Thus, it is a_n=3*a_{n-1}