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bonufazy [111]
4 years ago
5

You are working with a quadratic equation and construct the following table.

Mathematics
1 answer:
Alecsey [184]4 years ago
6 0

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across.  It is the only y value without a matching pair

E.x. -1 and 1, -3 and 3

The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)

The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept

y intercept: (0,8)

For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3

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In a bolt-manufacturing factory, it is estimated that 6% of the bolts being manufactured will be defective, with a 3% margin of
Lynna [10]

Answer:

D

Step-by-step explanation:

A margin of error provides information on the  percentage points ones results will differ from the real value.

If margin of error is 3% and estimated value is 6%, it means that the confidence interval would be within ±3 of the estimated value.

So, the confidence interval would be between 3% (6% - 3%) and 9% (6% + 3%)

8 0
3 years ago
Solve by completing the square<br><br>x squared +14x - 51=0
Nesterboy [21]
x^2 +14x - 51=0\\ \\\Delta = b^{2}-4ac =14^{2}-4*1*(-51)=196+204=400 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-14- \sqrt{400}}{2}=\frac{-14-20}{2}= \frac{-34}{2}=-17\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-14+ \sqrt{400}}{2}=\frac{-14+20}{2}= \frac{6}{2}=3


3 0
3 years ago
I need help with this question! thank u :)
cestrela7 [59]
Presumably d meanst distance and t means time.

When t = 1, d = 2.5
When t = 3, d = 4

d = mt + b
2.5 = m + b [t = 1]
4.0 = 3m + b [t = 2]
1.5 = 2m [subtract]
m = .75 = slope
b = 1.75 = d-intercept
d = .75t + 1.75
d = 15/4 + 7/4 [t = 5]
d = 22/4 = 5.5 m from sensor
6 0
3 years ago
PLEASE HELP!!!!!! A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
Evgesh-ka [11]

Answer:

A, y = 3x/2 - 12

Step-by-step explanation:

Use the equation y = mx + b.

m = 3/2

b = -12

y = 3x/2 - 12

7 0
3 years ago
Read 2 more answers
17 subtracted from x is at least 19
Rzqust [24]
X=36.... because 17-36=19
8 0
3 years ago
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