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3 years ago

Please help me with these!!!

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

A. 2.8x+3
B. -73/156
C. 6 10/21+ 10 6/7
D is already simplified

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If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?

a_sh-v [17]

Calculating the value of f(x) for the given interval.

For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11

For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51

Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];

(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4

So option “E” is correct.

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3 years ago

A factory inspector found 3 defective microchips out of a total of 750

Y_Kistochka [10]

Answer:

Option B

Step-by-step explanation:

Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = $\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}$

If 3 microchips are defective in a batch of 750 microchips,

Proportion = $\frac{3}{750}$

If 'x' chips are defective in a batch of 10000 microchips,

Proportion = $\frac{x}{10000}$

If both the proportions are equal,

$\frac{3}{750}=\frac{x}{10000}$

Therefore, Option B will be the answer.

5 0

3 years ago

14 + 10y ≥ 3(y + 14) A. y ≥ –4 B. y ≥ 4 C. y ≥ 8 D. y ≥ 6

arsen [322]

Answer:

Step-by-step explanation:

Given

14 + 10y ≥ 3( y + 14) ← distribute

14 + 10y ≥ 3y + 42 ( subtract 3y from both sides )

14 + 7y ≥ 42 ( subtract 14 from both sides )

7y ≥ 28 ( divide both sides by 7 )

y ≥ 4 → B

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3 years ago

Determine whether the sequence is arithmetic or geometric.

Zarrin [17]

S1.
32, 16, 0, -16, ...
It's an arithmetic sequence:
$a_1=32;\ d=16-32=-16\\\\a_n=a_1+(n-1)d\\\\a_n=32+(n-1)\cdot(-16)=32-16n+16=48-16n$

S2.
32, 16, 8, 4, ...
It's a geometric sequence:
$a_1=32;\ r=16:32=\dfrac{1}{2}\\\\a_n=a_1r^{n-1}\\\\a_n=32\cdot\left(\dfrac{1}{2}\right)^{n-1}$

Answer: sequence 1 is arithmetic and sequence 2 is geometric.

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3 years ago

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Olegator [25]

The answer would be D because in Fahrenheit it could be 176

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