Answer:
7. f(x) = -6/7x +12/7
8a. (-∞, -3)∪(-3, ∞); b. f(6) = 2/3
9a. f(-3) = -33; b. f(5a) = -50a² +25a
Step-by-step explanation:
7. You are given two points: (2, 0), (-5, 6). It is often useful to start with the 2-point form of the equation of a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -0)/(-5-2)(x -2) +0
y = -6/7(x -2) . . . simplify
y = -6/7x +12/7 . . . slope-intercept form
f(x) = -6/7x +12/7 . . . . the desired functional form
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8.
a. The <em>domain</em> is the set of x-values for which the function is defined. It will be undefined when the denominator is zero. So, the domain is all real numbers except x=-3. That can be written as ...
-∞ < x < -3 ∪ -3 < x < ∞
b. Put 6 where x is and do the arithmetic.
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9.
a. Put -3 where x is and do the arithmetic.
b. Put 5a where x is and simplify.
Answer:
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
Step-by-step explanation:
step 1: I am going to convert the measurements
into decimals
8/5=1.6
2/5=.4
step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour
1.6=.4
1=?
1*.4=.4/1.6=.25
step 3: I will convert .25 into a fraction
.25=1/4
for every 1/4 pound pumpkin, I will use 1 pound of flour
which is why
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer:
5√(7)m or 13.23m its D
Step-by-step explanation:
use pythagorean theorem
a²+b²=c²
c=20
b=15
a²+225=400
a²=175
√(175) = 5√(7) = 13.23