Answer: (a) 8(x + a) --> 8x + 8a
(b) 8(2x + h) --> 16x + 8h
Step-by-step explanation:
f(x) = 8x²
f(a) = 8a²
f(x + h) = 8(x + h)²
= 8(x² + 2xh + h²)
= 8x² + 16xh + 8h²
f(x) = 8x²
Answer:
Step-by-step explanation:
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A rational number is any number, positive or negative. This can be numbers including fractions, decimals, whole numbers, and so on.
As long as it is a real number it's a rational number.
In addition, any number that can be turned into a fraction is rational.
Answer:
A Rational Number can be made by dividing two integers.
Step-by-step explanation:
Rebecca tried to solve the problem but made a mistake in her calculations. You must analyze Rebecca's work, identify the error, and then correctly solve the problem. Then, create a model to justify your thinking.
Rebecca's Math Calculations
Step 1: 14×312
Step 2: 141×72
Step 3: 982=49
Solution: In September, 49 inches of rain fell.
Be sure to –
Identify the error that the student made
Answer the question prompt
Create a pictorial model that represents the problem situation and justifies your identification of the error and its solution
Explain how the model justifies the identified error and how to correct it
Answer:
4 inches
Step-by-step explanation:
Given that :
Amount of Rainfall in October = 14 inches
Amount of Rainfall in October = 3 1/2 times more than Rainfall during September
How much rain fell.during September :
The problem is a division problem ;
Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;
If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.
14 inches ÷ 3 1/2
14 ÷ 7/2
14 * 2 / 7
= 28 / 7
= 4 inches
Hence, the amount of Rainfall in September is 4 inches
Answer:
46
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
1
Step-by-step explanation:
To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.
Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.
The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.
Hence the value of sin 450° = y = 1
Answer:
To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.
8) red and 1, red and 2, red and 3, blue and 1, blue and 2, blue and 3
So answer is 6
9) 0.5*1/3 = 0.17
10) 0.5*2/3 = 0.33
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).