Answer:
The rate is $3.50 per muffin
Step-by-step explanation:
We have 2 points so we can find the slope (3, 10.5) (6,21)
m = (y2-y1)/(x2-x1)
= (21 - 10.5) /(6-3)
= (10.5)/3
3.5
The rate is $3.50 per muffin
<span><span><span><span>3/4</span>x</span>+11 </span>< <span><span>0.3x</span>+<span>3/4
</span></span></span>First turn 3/4 from both sides to decimals to get..
.75x+11 < 0.3x+.75
And then subtract 0.3x from both sides to get
.45x+11 < .75
And then subtract 11 from both sides to get
.45x < -10.25
And then divide both sides by .45x to get
x < -22.77777778
Answer:
B is (3, 10)
Step-by-step explanation:
The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is
(x1 + x^2) / 2 , (y1 + y2)/2.
So if (x, y) are the coordinates of B we have:
(7 + x)/2 + (2 + y)/2 = 5 + 6
So 7 + x = 2*5 so x = 3
AND 2 + Y = 12 SO y = 10.
Answer:
x=-35
Step-by-step explanation:
136+12x=-4(1-2x)
136+12x=-4+8x
+4 +4
140+12x-12x=8x-12x
140/-4=-4x/-4
x= -35
If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.