The quadratic equation is:
17x^2- 12x= 0
First part: 1 is less than the sum of x and 3: 1 < x+3.
Second part: the sum of x and 3 is less than 9.
Obviously 1 < 9.
Taking another look at 1<x+3, we can solve for x: -2<x. Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides. Then x<6.
Draw a dashed vertical line thru x=6.
Shade the area between these two vertical lines to obtain the desired graph.
Answer:
21) 778240
22) 10804
23) 4862.03
Step-by-step explanation:
20.
x is months. There are 12 months in an year, so for this problem use x = 12.
190( 2^12) = 778240
21.
The equation for growth is:
initial_amount((1 + percent_in_decimal_form)^years)
So now equation is 10280(1.01^5) = 10804
22. Use same equation as in #21.
4000 (1.05 ^ 4) = 4862.03
Answer: Choice C
sin(26) = x/10
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Explanation:
With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.
We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent
Unfortunately, tan(26) = x/9 is not an answer choice.
Luckily though, we have other trig ratios to work with.
The sine ratio ties together the opposite side and hypotenuse
sin(angle) = opposite/hypotenuse
sin(26) = x/10
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Extra info (optional section)
Solving for x leads to...
sin(26) = x/10
10*sin(26) = x
x = 10*sin(26)
x = 4.38371 approximately
Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.
Answer:since there is no diagram i will answer to the best of my ability.
Step-by-step explanation:
If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.
