Answer:
$223.
Step-by-step explanation:
Let x be the original price of phone.
We are told that Terry sees this offer refurbished phone 35% off now only $78.
We need to find x such that 35% of x is 78. We can represent this information as:


Therefore, the original price of phone was $223.
Answer:
y=40
Step-by-step explanation:
The formula for Direct Variation is y=kx or k=y/x. In this case I would use k=y/x. If you're y is 8 and x is 3, this means that K=8/3. Using this, we know that X=15. We have to find a Y value so that the fraction with an x of 15 simplified is 8/3. To do this you would write 8/3 and y/15. Now cross multiply to get 3y=120. Divide by 3 to get y=40. View my attachment for the work!
Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)
Answer: (10, ∞)
Step-by-step explanation:
See the graph in the attached image.
Answer:
37° and 53° respectively.
Step-by-step explanation:
We need to know that the angles are complementtary if ∠RSU + ∠UST = 90°. Then,
5x+7 + 9x-1 = 90
5x + 9x +7 -1 = 90
14x +6 = 90
14x = 90 - 6
14x = 84
x = 84/14
x = 6.
Then, the angle ∠RSU has measure 5(6)+ 7 = 30+7 = 37, and the angle ∠UST has measure 9(6) - 1 = 54-1 = 53.