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antiseptic1488 [7]
3 years ago
12

Show that 6 – 4x - x^2 can never be greater than 10. ( This is an Additional Math Question )

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Given

6 - 4x - x²

Since the coefficient of the x² term < 0 then parabola has a maximum vertex.

To find the x- coordinate of the vertex

x_{vertex} = - \frac{b}{2a}

with a = - 1 and b = - 4 , then

x_{vertex} = - \frac{-4}{-2} = - 2

The corresponding y- coordinate is found by substituting x = - 2 , that is

6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10

vertex = (- 2, 10 )

The maximum value of the function is the y- coordinate of the vertex

Then maximum value is 10

Thus 6 - 4x - x² is never greater than 10

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A bottling plant produces bottles of 500 ml at the production rate of 10,000 bottles per hour. An inspector randomly picks up 10
galben [10]

Answer:

e.none of these

Step-by-step explanation:

Computations For CC for Fraction defective

Sample No  d  p=d/100

1                    0       0

2                    0      0

3                    2     0.02

4                     1     0.01

5                     0      0

6                     1      0.01

7                     2      0.02

8                     0        0

                 Total   0.06

\overline{p} =\frac{1}{k}\sum p=\frac{0.06}{8} =0.0075

\overline{q} =1- 0.0075= 0.9925

3 sigma control limits for p chart are given by:

\overline{p} \pm 3\sqrt{\overline{p}\overline{q}/n}\Rightarrow 0.0075\pm 3\sqrt{\frac{0.0075*0.9925}{100}}

= 0.0075\pm0.0259\Rightarrow ( 0.0334,0 )

hence option e is correct

6 0
3 years ago
Can someone help me with this ?!! Plz
Natasha2012 [34]

Answer:

see image

Step-by-step explanation:

8 0
2 years ago
PLZZzzzzz Help me ASAP!!!
ziro4ka [17]

Answer:

The estimate is 217.5.

8 0
3 years ago
Read 2 more answers
Evaluating expressions k3+j
mrs_skeptik [129]
The answer is 3k+j since 3 cannot be multiplied after k.
3 0
3 years ago
Find the slope of the line whose equation is 7x - 2y = 4.<br> -2<br> 7/2<br> 4/7
sesenic [268]
Answer: 7/2

To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
7 0
3 years ago
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