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DIA
1 month ago
8

What is the factored form of the polynomial x2 - 16x + 48

Mathematics
2 answers:
tester [12.3K]1 month ago
8 0

Answer:  The necessary factored form of the polynomial is (x-4)(x-12).

Step-by-step explanation:  We are tasked with determining the factored version of this polynomial:

P(x)=x^2-16x+48.

To achieve the factored form, we need to identify two numbers that add up to 16 and multiply to 48.

The required numbers are 12 and 4.

The factorization proceeds as follows:

P(x)\\\\=x^2-16x+48\\\\=x^2-(12+4)x+48\\\\=x^2-12x-4x+48\\\\=x(x-12)-4(x-12)\\\\=(x-4)(x-12).

Thus, the necessary factored representation of the polynomial is (x-4)(x-12).

PIT_PIT [12.4K]1 month ago
4 0
(x - 12) (x - 4) is the answer

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road oriented at an angle of 25
PIT_PIT [12445]

Answer:

6.79 miles

Step-by-step explanation:

Consider triangle ABC where A marks the starting point and C indicates the end point.

|AB|=5.2 miles

|BC|=3.0 miles

∠ABC = 90 + 75 = 165°

We're given two side lengths and an angle that is not opposite to either side.

The approach to resolve this scenario is known as the Cosine Rule.

Each side opposite an angle is designated by the corresponding lowercase letter.

The Cosine Rule asserts that:

b² = a² + c² - 2acCosB

|AC|²=3² + 5.2² - (2 × 5.2 × Cos 165°)

|AC|²=9 + 27.04 + 10.05

|AC|²=46.09

|AC|=√46.09=6.79 miles

Thus, the straight-line distance from A to C measures 6.79 miles

8 0
2 months ago
What is the simplified form of the following expression ? Assume a _>0 and c >_0
tester [12383]
14 \sqrt[4]{a^{5} b^{2 }c^{4}} -7ac \sqrt[4]{a b^{2}}
= 14ac \sqrt[4]{a b^{2}} -7ac \sqrt[4]{a b^{2}}
= 7ac \sqrt[4]{a b^{2}}.... pertains to the first choice
3 0
1 month ago
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A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
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Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

40/250 =....

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1 month ago
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Help me please,Thanks
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The solution is 24m^2; I just completed that test and that was the result.<span />
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15 days ago
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The reasoning follows that both angles are 90 degrees.
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17 days ago
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