Answer:
449/20 or 22 9/20
Step-by-step explanation:
Change them to mixed numbers.
55 x 5 = 275 + 1 = 276
32 x 4 = 128 + 3 = 131
Then, convert them to a common denominator.
276 x 4 = 1104
131 x 5 = 655
1104 - 655 = 449
449/20
Jim goes to the shop and sees that the T-shirts are only $5.75 each and so wishes to buy 3 of them.
Expressed as a fraction $5.75 = $5 3/4
How much does he have to pay?
The answer is $17.25 or 17 1/4
To find the inverse of a function, you swap the x and y values. So instead of y=4x+8, it becomes x=4y+8. Now you re-solve for y, and that’s your answer:
x=4y+8
x-8=4y
1/4x-2=y
So h(x)=1/4x-2, or the first option
Answer:
Blue: y = x² + 3
Purple: y = (x + 4)²
Step-by-step explanation:
The parabolas are "transformed", meaning they have been shifted on the coordinate grid. All parabolas will have the equation of "y = x²", any additional transformation will add onto that.
Blue: Looking at the red parabola, its lowest point is only three units down from the blue's lowest points. Meaning the blue parabola went only three units up. So you only have to do the "+ 3" in the equation.
Purple: Like in blue, we're gonna look at the purple's lowest point and compare it to red's lowest point. The purple parabola seems to have shifted only four units to the left. Though, instead of adding onto the equation like in the blue parabola, any changes on the x-axis will be put into parenthesis. IN ADDITION, the sign will be the opposite of what it is on the coordinate grid. For example, the purple parabola is on the -4 of the x-axis. Instead of putting "(x - 4)", we put "(x + 4)".
Try the next two problems on your own. They will be similarly structured to the two answers above. If you need more help, lemme know. :)
