Answer:
x> 5/4
Step-by-step explanation:
9<4(x+9)−7−25
Step 1: Simplify both sides of the inequality.
9<4x+4
Step 2: Flip the equation.
4x+4>9
Step 3: Subtract 4 from both sides.
4x+4−4>9−4
4x>5
Step 4: Divide both sides by 4.
4x/4>5/4
x>5/4
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Step-by-step explanation:
1. making the equation:
shoes = x
shirts = y
175 = x + 3y
x = 4y
2. graph it (I'm using desmos)
the green line is for 175 = x + 3y and the purple one is for x = 4y
3. find the price
x = 4y
175 = 4y + 3y
175 = 7y
y = 175/7 = $25
price of the shirt = $25
x = 4y = 4*25 = $100
price of a pair of shoes = $100
Rectangle
l = 7.2 - 1.7 = 5.5 ft b = 3.4 ft
Semicircle
r = 1.7 ft
Shaded region = area of rectangle + area of semicircle
= l x b + πr²/2
= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2
= 18.7 + 4.5373
= 23.2373 ft²
The range of sample statistics obtained when many samples are selected is a sampling distribution. A sampling distribution is also a probability distribution of the statistics obtained in the large number of samples drawn from a specific population. It also shows every possible result that the statistic can take in every possible sample from the population and how often will each results happens.
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-