Answer:
D. x = 0.5
Step-by-step explanation:
A graphing calculator is the quickest way to get to an answer here.
f(x) = g(x) for x = 0.5
__
We can find the y-intercepts of the two functions to be ...
f(0) = -3
g(0) = -2
We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)
Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:
x = 0.5
Answer:
(a) 
(b) We cross multiply the probability by the total voters
(c) 9347
Step-by-step explanation:
(a)
Probability of getting a republican voter is


These are found by dividing the first numerator and denominator by 2, then by 3
To make it complete, the situation is therefore defined as
where y is unknown value
(b)
Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.
(c)
Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

Answer:
The answer to your question is the letter A) x ≥ 0.5
Step-by-step explanation:
Inequality
2(4x - 3) ≥ -3(3x) + 5x
Process
1.- Expand
8x - 6 ≥ - 9x + 5x
2.- Simplify
8x - 6 ≥ - 4x
3.- Add 6 units in both sides
8x - 6 + 6 ≥ -4x + 6
4.- Simplify
8x ≥ -4x + 6
5.- Add 4x in both sides
8x + 4x ≥ -4x + 6 + 4x
6.- Simplify
12x ≥ 6
7.- Divide by 12 both sides
12x/12 ≥ 6/12
8.- Simplify
x ≥ 1/2 or 0.5
Answer:
12 feet
Step-by-step explanation:
A driveway is rectangular in shape.
Therefore we can calculate the area using the formula;

From the question;
The area,A=96 feet square
The width, W=8 feet
We substitute this values into the formula to find the length, L.
This implies that

Dividing through by 8.


Hence,the length of the driveway is 12 feet.