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)
Answer:
The company has to produce more than 92 guitars and sell them for making a profit.
Step-by-step explanation:
These are the cost and revenue functions, where x represents the number of guitars to be manufactured and sold: R(x) = 120x, and C(x) = 100x + 1840.
Therefore, the condition for no loss-no gain for manufacturing x number of guitars is
R(x) = C(x)
⇒ 120x = 100x + 1840
⇒ 20x = 1840
⇒ x = 92
Therefore, the company has to produce more than 92 guitars and sell them for making a profit. (Answer)
Answer:
State sales and income tax
Step-by-step explanation:
He pays income tax based on the $1700 he got when running his own business of selling T-shirt’s he screen prints in his garage and he also needs to pay for the State sales tax on each T-shirt sold to the state that his business is located in.
Hope it will find you well
Answer:
alternate interior angles theorem
Step-by-step explanation:
The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.
Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:
∠ 4 ≅ ∠6, ∠1 ≅ ∠7
Answer:
A reflection followed by a translation
Step-by-step explanation:
A reflection across they x-axis would put all the points in the right section and on the right y value. The x value would need to be changed though. So, you would need to do a translation of 4 on all points.
