Answer:
for only five poinys?
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
See the diagram of the triangle attached.
We have Δ RST where, ∠ RST = 7x -54 and ∠ SRT = ∠ STR {Since, given that, RS = ST}
Now, if ∠ STU = 8x, then ∠ STR = 180 - 8x {Since, ∠ STU and ∠ STR are supplementary}
So, ∠ SRT = ∠ STR = 180 - 8x
Now, from Δ SRT, ∠ RST + ∠ SRT + ∠ STR = 180
⇒ 7x - 54 + 180 - 8x + 180 - 8x = 180
⇒ 9x = 126
⇒ x = 14 (Answer)
Answer:
{324, 0, -6, 54}
Step-by-step explanation:
Given that F(x) = 3x² − 3 x − 6 If the domain of a the function f(x) is { -10, -1, 1, 5 }.
To get the range, we will find f(x) for all the domains
at x = -10
f(-10) = 3(-10)²-3(-10) - 6
f(-10) = 3(100)-3(-10) - 6
f(-10) = 300+30-6
f(-10) = 330-6
f(-10) = 324
at x = -1
f(-1) = 3(-1)²-3(-1) - 6
f(-1) = 3(1)-3(-1) - 6
f(-1) = 3+3-6
f(-1) = 6-6
f(-1) = 0
at x = 1
f(1) = 3(1)²-3(1) - 6
f(1) = 3(1)-3(1) - 6
f(1) = 3-3-6
f(1) = 0-6
f(1) = -6
at x = 5
f(5) = 3(5)²-3(5) - 6
f(5) = 3(25)-3(5) - 6
f(5) = 75-15-6
f(5) = 60-6
f(5) = 54
Hence the range of the relation are {324, 0, -6, 54}
Answer:
Linear
Step-by-step explanation:
The definition of linear is "the property of a mathematical relationship that can be graphically represented as a straight line." If the robot arm moved 1/4 inch every time the controller is moved 1/4 inch. That means the relation is linear. This is because if the controller was moved 1 inch, the robot would move 1 inch. This relation is shown in the graph below, the equation is y = x.
Answer:
money earned = 110
Step-by-step explanation:
Money earned * percent saved = money saved
money earned * 30% = 33
Change to decimal form
money earned * .30 = 33
Divide each side by .3
money earned = 33/.3
money earned = 110