Answer:
domain: (-∞ , ∞)
range: (-∞, 2]
Step-by-step explanation:
the domain is the set of values of what the x value can be. This function is parabolic and upside down, it can have a range of x values from - infinity to positive infinity. The function is most likely y=-x^2 +2
range is the output (y values) the function can possibly have. the max is 2 and includes 2 so we use bracket for that. The smallest y value can reach towards negative infinity.
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Let one angle be x
Let second angle be 88+x
Sum of two complementary angles = 90°
x+ 88+ x = 90°
2x + 88 = 90
2x = 90 - 88 = 2
x = 2/2 = 1
First angle = x = 1°
Second angle = 88 + x = 88+1 = 89°
I hope it is helpful:D
Answer:
3.75 quarts, rounded to 3.8 quarts
Step-by-step explanation:
3 quarts of solution is 10% antifreeze, so 0.3 quarts are already antifreeze, and 2.7 quarts are not.
a(the antifreeze we already have)+x(what we're going to add)= 1.5*2.7
Let me explain. If we have 60% antifreeze, 40% is not. 60/40=1.5
Substitute a for 0.3
0.3+x=4.05 Subtract 0.3 from both sides
x=3.75
Answer:
[-11/5,∞)
Step-by-step explanation:
1. Add 4 to both sides: 7x-4+4≥-15+2x+4
2. Simplify: 7x≥2x-11
3. Subtract 2x from both sides: 7x-2x≥2x-11-2x
4. Simplify: 5x≥-11
5. Divide both sides by 5: 5x/5≥-11/5
6. Simplify: -11/5
