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weeeeeb [17]
4 years ago
13

Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.

Mathematics
1 answer:
Bond [772]4 years ago
4 0

Answer:

C. 5

Step-by-step explanation:

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The points(0,2) and (4,-10) lie on the same line and the points (-5,-3) and (2,11) lie on another line. Determine by graphing wh
joja [24]
You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.

If this were homework or a test, you'd get full credit only if you follow the directions given.

If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or   m =-3.  Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.

If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:

m = 14/7 = 2.  Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.

Where do the 2 lines intersect?  Set the 2 equations equal to one another and solve for x:

</span>y = -3x + 2 = y = 2x + 7.  Then 5x = 5, and x=1.

Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.

That results in the point of intersection (2,9).

Doing this problem by graphing, on a calculator, produces a different result:  (-1,5), which matches D.

I'd suggest you find and graph both lines yourself to verify this.  If you want, see whether you can find the mistake in my calculations.

3 0
3 years ago
One fifth of the sum of 9 and h
8090 [49]

Answer:

= (9 + h) /5

Step-by-step explanation:

One fifth  means 1/5

Sum of 9 and h = (9 +h)

One fifth of sum of 9 and h = 1/5 x (9 + h)

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The answer is B. Adjacent angles. They both have a meeting point and don't overlap.
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The sum of 8 and Jose's savings is 50.
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8 + x = 50, so Jose's saving or x = 42

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