Answer:
49
Step-by-step explanation:
65% of 140
65/100 × 140
= 91 right
140 - 91
= 49 wrong
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)
Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q± 
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
Answer:
y = -3x -5
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercep
6x+2y = -10
Subtract 6x from each side
6x+2y -6x = -6x-10
2y = -6x-10
Divide each side by 2
2y/2 = -6x/2 -10/2
y = -3x -5
(a) P( fifth one is bad) = P( first 4 are OK) * P(5th is bad)
= (0.98)^4 * 0.02 = 0.0184 or 1.84%
(b) this will be (0.98)^10 = 81.70%
