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Alex73 [517]
2 years ago
14

Find the factors of f(x) given that x = 5 is a zero.

Mathematics
1 answer:
77julia77 [94]2 years ago
8 0
  • If x = 5 is a zero of the given polynomial, then,
  • (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
  • Now, divide the polynomial with (x - 5) using long division method. (See the picture)
  • We get (x^2 - x - 6) as the quotient.
  • Now, factorise the above polynomial:
  • (x^2 - x - 6)
  • = (x^2 - 3x + 2x - 6)
  • = x(x - 3) + 2(x - 3)
  • = (x - 3)(x + 2)
  • Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

<u>Answer</u><u>:</u>

<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

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Which of the objects shown above are pyramids?
PolarNik [594]
<h3>Answer: A and B (first answer choice)</h3>

Explanation:

Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.

Choice C is ruled out because cones aren't considered pyramids.

Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.

7 0
3 years ago
What conjecture can you make about the sum of the first 22 positive even numbers?
alekssr [168]

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

7 0
3 years ago
Stacey filled her 1/2 cup measuring cup seven times to have enough flour for a cake recipe. How much flour does the cake recipe
adoni [48]

First you would do 1/2 * 7 and you would get your answer which would be 3 1/2 cups of flour.

xXRebekahXx Please rank brainliest if this was helpful!!

3 0
3 years ago
Sketch the graph of each line y=-9x-5
ycow [4]
I can’t answer it without a picture of the graph
5 0
3 years ago
What is the porosity of the gravel sample?(The sediment volume for each sample is 400ml. ) a. 23. 75% b. 28. 75% c. 55. 75% d. 8
Anna [14]

The porosity of the gravel sample is 28.75%

We have to determine.

What is the porosity of the gravel sample?

<h3>The porosity of the gravel sample;</h3>

Porosity is the term which is defined as the volume of voids present in the soil to the total volume of the soil.

The formula used to calculate the Porosity is;

\rm Porosity =\dfrac{Volume \ of \ voids \ present \ in soil}{Volume \ of \ soil}

A sponge is a case of a permeable fabric because it incorporates a huge number of purge spaces compared to its volume.

Porosity is the property of a question that communicates the entire volume of purge or pore space within the material.

Hence, the porosity of the gravel sample is 28.75%

Learn more about "porosity" :

brainly.com/question/2593663

4 0
2 years ago
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