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3 years ago

If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered?

Mathematics

2 answers:

kupik [55]3 years ago

8 0

The Answer Is factor by grouping

ZanzabumX [31]3 years ago

6 0

Answer:

Factor by grouping

Step-by-step explanation:

We are given that a polynomial has four terms

$3x^3+5x+6x^2+10$

We have to find which factoring method can be used .

The given polynomial is cubic.

Rearrange the terms then, we get

$3x^3+6x^2+5x+10$

$3x^2(x+2)+5(x+2)$

$(x+2)(3x^2+5)$

The method which used there is factor by grouping.

Answer: Factor by grouping

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Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommend

labwork [276]

Answer:

360-540 calories

3 0

3 years ago

I need the equation for this ASAP!

Sindrei [870]

Answer:

5.714 liters of the 5% solution and 4.286 of the 40%.

Step-by-step explanation:

Let x be the volume of 40% solution and y = volume of the 5% solution.

x + y = 10

0.40x + 0.05y = 0.20(x + y)

From the first equation x = 10 -y so we have:

0.40(10 - y) + 0.05y = 0.20( 10 - y + y)

4 - 0.40y + 0.05y = 2

-0.35y = -2

y = 5.714 liters of the 5%.

and x = 10 - 5.714 = 4.286 liters of the 40% solution.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Volume of a cube is 343cm³ . Then the total surface area of the cube is _______ cm². *

MissTica

Answer:

A≈294cm²

-hope this helped

8 0

3 years ago

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Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d

Alenkasestr [34]

Answer:

1) $\frac{5}{-14}$ =0.3571428571 2) Terminating

Step-by-step explanation:

1st. To answer this question let's divide with long division algorithm 5 and -14.

0.3571428571

-14)50

---

-70

100

---

----

-56

---

120

-112

----

100

-98

5 (dividend) : -14 (divisor) $\frac{5}{-14}$

Long division (check below)

With the same two numbers -14 and 5 we can write in a Long Division

5) -14

- 2.8

5) -14

So $\frac{-14}{5}=-2.8$

2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.

$\frac{5}{-14}$ form.

$\frac{-14}{5}$ form.

3 0

3 years ago

Read 2 more answers