Answer:
{-2, 1}
Step-by-step explanation:

Make the fractions have a common denominator.

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

Now, set the equation equal to zero and factor.

The y-values are {-2, 1}
Factors of 48 : 1,2,3,4,6,8,12,16,24,48....all of these numbers can be subbed in for X to arrive at a whole number....so there are 10 different ways
Answer:

Step-by-step explanation:


Let
be the distance in miles. So distance in km is given by
.
The equation that shows the approximate distance in kilometers as a function if the distance in miles is
.
Answer:
3(9m + 13) - (m + 10) = 1
Step-by-step explanation:
Here, we want to write an equation we can use to find the age of Mario.
Let the present age of Mario be M
Age of Sarah is 3 years older than 9
times Mario’s age
Mario’s age is thus;
9m + 3
In ten years, she will be 1 less than triple his age
In 10 years time, sarah age will be 9m +
3 + 10 = 9m + 13
Mario age will be m + 10
Mathematically;
3(9m + 13) - (m + 10) = 1
Answer:
(0, 33) : Yes
(4.8, 30.5) : Yes
Step-by-step explanation:
height of at least 24 ft : y >= 24
horizontal distance of no more than 10 ft. : 0 <= x <= 10
The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:
y >= 3x and y <= 33
So Constraints:
24 <= y <= 33
y >= 3x
0 <= x <= 10
Now check to see if those coordinate points meet all the constraints
(0, 33) : Yes
(4.8, 30.5) : Yes
(9, 26) : No (because 26 is less than (3 * 9) = 27)
(4, 36)
: No (because 36 > 33, must be 24 <= y <= 33)
(2, 22): No (because 22 <24, must be 24 <= y <= 33)