Answer:
y=5/4x+1
Step-by-step explanation:
Slope point form is y-y1=m(x-x1) and requires a slope and a point which we have
Substituting the numbers into the equation gives
y-6=5/4(x-4) which would simplify to y=5/4x+1
Answer:
Which is the output of the formula =AND(12>6;6>3;3>9)?
A.
TRUE
B.
FALSE
C.
12
D.
9
Answer:
- 35 grams of 11.43% solution
Step-by-step explanation:
The end solution has same volume as initial volumes of mixture.
The concentration of solution is calculated as below
- 10*0.15 + 25*0.1 = 4 g
- 4 / 35*100% = 11.43% (rounded)
The slope is -4. This is because of slope intercept form, y=mxtb. M= the slope so the slope in this case is -4
2x^2+8x-12=0
with form
ax^2+bx+c=0
move c to the other side
2x^2+8x=12
x^2 is multiplied -> divide equation by 2
x^2+4x=6
complete square:
divide b=4 by 2
4*1/2=2
square 2
2^2=4
add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10
transform to polynom
(x+2)^2=10
this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4
bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)
so it is option B
