First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.
So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.
f(x) = x² + 9x - 10x - 90
Now we group together and pull out GCFs.
f(x) = (x² + 9x) + (10x - 90)
f(x) = x(x² + 9) - 10(x + 9)
f(x) = (x - 10)(x + 9)
Now, set each factor equal to zero.
x - 10 = 0, x + 9 = 0
For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.
x = 10, x = -9
Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).
Answer:
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Step-by-step explanation:
-B
Answer:
f(x)=x2,g(x)=f(3x)=(3x)2=9x2
Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric around y axis. When x=1/3 or -1/3, then y=1.
Hope this helps! :))
To solve these problems, you must make the denominators of each fraction match, before adding.
2. The answer is 11/10 or 1 and 1/10.
To find this answer, multiply 1/5 by 2/2 to get 2/10. Then add 2/10 to 9/10 get 11/10 or 1 and 1/10 as your answer.
4. The answer is 23/18 or 1 and 5/18.
To find this answer, multiply 7/9 by 2/2 to get 14/18, and multiply 1/2 by 9/9 to get 9/18. Then add 14/18 and 9/18 to get 23/18 or 1 and 5/18 as your answer.
6. The answer is 7/12.
To find this answer, multiply 1/3 by 4/4 to get 4/12 and multiply 1/4 by 3/3 to get 3/12. Then add 4/12 and 3/12 to get 7/12 as your answer.
I hope this helps!
Answer:
They are 10 units away from the treasure
Step-by-step explanation:
Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.