Answer:
m∠6 = 116°
Step-by-step explanation:
<u>first find x:</u>
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
<u>plug x into 7x - 17</u>
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
(x²+4x+3)/2(x²-10x+25)
the horizontal asymptote when the numerator and the denominator have the same degree (in this case, both of a degree of 2) is ration of the coefficients of the numerator and denominator. In this case, the coefficient for numerator x² is 1, and the coefficient for the denominator 2x² is 2, so the horizontal asymptote is y=1/2=0.5
the vertical asymptote is the x value. the denominator cannot be zero, if x²-10x+25=0, x would be 5, so the vertical asymptote is x=5
this is just one example. There can be others:
(2x²+5x+2)/[(4x-7)(x-5)] for another example, but this example has a second vertical asymptote 4x-7=0 =>x=7/4
Answer:
80 questions.
Step-by-step explanation:
If 20% = 16 Q,
then 100 ÷ 20 = 5
Therefore, 5 x 16 = 80 questions on the test.
Answer:
Range: (-3,0,3,6,9)
Step-by-step explanation:
We need to evaluate each value in the domain of the function, so
f(-2)=3(-2)+3=-6+3=-3
f(-1)=3(-1)+3=-3+3=0
f(0)=3(0)+3=0+3=3
f(1)=3(1)+3=3+3=6
f(2)=3(2)+3=6+3=9
From what i gathered... i think i<span>t would be 3.5?
Hope i</span><span>t helps. . . . </span>