Answer:
3. $2 per 1 pineapple
4. 35 miles per 1 hour
5. $7 per 1 hour
Step-by-step explanation:
A unit rate is the rate of measurement of an object per 1. Its feet per 1 hour or dollars per 1 item or 1 ounce. To find the unit rate divide the two measurements to a simpler fraction with 1 as the denominator or divide to a decimal if necessary.
Examples:
3. $8 / 4 pineapples = $2 per 1 pineapple
4. 105 miles / 3 hours = 35 miles per 1 hour
5. $35 / 5 hours = $7 per 1 hour
Answer:
If f(1)=0 then 1 is a root and (x-1) is a factor of f(x). divide f(x) by (x-1). you now have a quadratic. Find its roots by methods you know.
actually this factors by grouping:
f(x)=x³+3x²-x-3
= x²(x+3)-1(x+3)
=(x+3)(x²-1)
=(x+3)(x-1)(x+1) // difference of squares
By zero product property roots are
-3, -1, 1
The equation that shows the point where the total costs are equal will be; 1 + 1.5g = 2.5 + 2.25g
How to generate Algebraic Equations?
We are given that;
One bowling facility charges $1 to rent shoes and $1.50 for each game bowled.
Let C = total cost of bowling
Let g = number of games bowled
For first bowling facility; C₁ = 1 + 1.5g
For first bowling facility; C₂ = 2.5 + 2.25g
The equation that shows the point where the total costs are equal will be; C₁ = C₂
Thus, the equation that this represents is;
1 + 1.5g = 2.5 + 2.25g
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Answer:
The required equation is 
Step-by-step explanation:
Consider the provided information.
Let P represent the number of pages left to read after t hours.
Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.
Total number of page Shryia read in 1.5 hours is:
480-402 = 78
It is given that the rate is constant i.e 1.5 hours,
Therefore, she read 78 pages in 1.5 hours.
She can read 
page per hour
The required equation is:
Where t represents the number of hours.
The notation for the translation is (x, y) → (x + 2, y + 2)
<h3>How to determine the translation?</h3>
The translations are given as:
The above implies that we add 2 to the x coordinate and 2 to the y coordinate.
So, we have:
(x, y) → (x + 2, y + 2)
Hence, the notation for the translation is (x, y) → (x + 2, y + 2)
Read more about translation at:
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