C- y= 6x
This means you times the x by six to get your y- (2x6=12) (4x6=24)
Hope this helps
Answer:
7<√56<8
(7)^2<(√56)^2<(8)^2
49<56<64
so √56 makes the inequality true
Answer:
16, 29, 7, 9, 36, 33, 24, 12
Step-by-step explanation:
The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.
Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names. So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.
This is 8 simple subtraction problems.
a) D - B = -1 -(-17) = 16
b) E - A = 4 -(-25) = 29
c) F - E = 11 -4 = 7
d) I - G = 25 -16 = 9
e) H - C = 23 -(-13) = 36
f) G - B = 16 -(-17) = 33
g) F - C = 11 -(-13) = 24
h) C - A = -13 -(-25) = 12
_____
If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.
Answer:
<em>1. f(x)=−(x−3)(x+1) </em>
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<em>By multiplying the factors, the general form is f(x)= -x²+2x+3.</em>
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<em>Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=2. by putting the values.</em>
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<em>-b/2a = -2/2(-1) = 1</em>
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<em>f(-b/2a)= f(1)=-(1)²+2(1)+3= 4</em>
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<em>So, </em><em>Vertex = (1, 4)</em>
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<em>Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+3, we get point</em><em> (0, 3).</em>
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<em>Now find x-intercept put y=0 in the above equation. 0= -x²+2x+3.</em>
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<em>-x²+2x+3=0 the factor form is already given in the question so, ⇒-(x-3)(x+1)=0 ⇒</em><em>x=3 , x=-1</em>
From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.
