Answer:
x= 226/3 or 75.33333333333333333333333333333
Step-by-step explanation:
14y+82=6x-20
y=25
Sub y=25 into 14y+82=6x-20
14y+82=6x-20
14(25)+82=6x-20
Calculate as follows:
14(25)+82=6x-20
350+82=6x-20
432=6x-20
Add twenty to both sides:
432+20=6x-20+20
452=6x-0
452=6x
Divide both sides by 6
452=6x
452/6=6x/6
452/6=x
x= 226/3 or 75.33333333333333333333333333333
Answer:
-56
Step-by-step explanation:
f(x) = 7x + 7
x = -9
We meed to plug in x = -9 into the first equation:
f(-9) = 7(-9) + 7
We can open up the parentheses:
f(-9) = -63 + 7
And then simplify:
f(-9) = -56
Answer:
P(R) = 0.14
P(I) = 0.16
P(D) = 0.315
Step-by-step explanation:
Let Democrat = D
Republican = R
Independent = I
If 45% are Democrats, 35% are Republicans, and 20% are independents, then
Total registered voters = 100
In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,
D = 0.7 × 45 = 31.5
R = 0.4 × 35 = 14
I = 0.8 × 20 = 16
If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is
a Republican:
P(R) = 14 /100 = 0.14
an Independent
P(I) = 16/100 = 0.16
a Democrat
P(D) = 31.5/100 = 0.315
Answer:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 1/5|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet).
Step-by-step explanation: