2 months ago

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

Mathematics

1 answer:

PIT_PIT [12.4K]2 months ago

5 0

Answer:

$(ab)(x)$ Conclusion from the given data:

a(x) = 2x - 4b(x) = x + 2

Next, we will review each option

First option

$(ab)(x)=(2x-4)(x+2)$ Second option

$=2(x-2)(x+2)$

$=2(x^2-4)$ Third option

$=2x^2-8$

= x - 6

Fourth option $\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}$

$(a-b)(x)=(2x-4)-(x+2)$

= 3x - 2

$=2x-4-x-2$ From the above evaluations, only option A results in a quadratic function

You might be interested in

A kids skipping rope is 7ft long. How many ropes could I cut from a 10 yard long piece of rope?

lawyer [12517]

3 feet make one yard.
Multiplying 3 by 10 gives 30 feet.
Dividing 30 by 7 gives approximately 4.2.
Answer: 4 ropes can be cut.
Since partial ropes cannot be counted, only 4 full ropes are possible.

7 0

3 months ago

A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

Svet_ta [12734]

Answer:

The average for the sampling distribution of the sample proportion is 0.29

The standard deviation for this sampling distribution is 0.01435

Step-by-step explanation:

The mean of the sampling distribution for the sample proportion equals the actual population proportion, which is p = 0.29 in this scenario.

The standard deviation for the sampling distribution of the sample proportion is computed as follows;

$\sqrt{\frac{p(1-p)}{n} }$

Utilizing the provided values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation computes to;

$\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\$

Thus, the standard deviation is 0.01435.

4 0

2 months ago

Megan constructed triangle ABC. In Megan’s triangle, m∠A is represented by x°, m∠B is 4 times greater than m∠A, and m∠C is 30° l

zzz [12365]

Angle A =x

Angle B is represented as 4x

Angle C is expressed as 5x-30

Hence, the correct responses are A, C, and D

7 0

1 month ago

Read 2 more answers