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3 years ago

The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

Mathematics

2 answers:

anyanavicka [17]3 years ago

6 0

Answer:

Second factor is (x - 2).

Step-by-step explanation:

The given polynomial is 3x² -10x + 8 has a factor (3x - 4) and we have to find the other factor.

Now we will factorize the given polynomial to get the other factor.

3x² - 10x + 8

[ Here 8×3 = 24( multiplication of constant term 8 and coefficient of highest degree term) and 6 + 4 = 10 ]

= 3x² - 6x - 4x + 8

= 3x(x - 2) - 4(x - 2)

= (3x -4)(x -2)

In this factorized form we get two factors as (3x -4) and (x -2).

Therefore the second factor is (x - 2).

ololo11 [35]3 years ago

5 0

If you're doing polynomials you might as well know how to divide with the equations..
to find another factor of the equation, divide the equatiion with its known factor (3x^2-10x+8)/(3x-4) You'll get x-2

(I cant really show you how to divide polynomials since it'll look v.complicated over here! sorry..)

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The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o

maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

$y=kx$

Where "k" is the constant of proportionality.

We can choose the point $(8,12$ ) from the table, where:

$x=8\\y=12$

Substituting these values into $y=kx$ and solving for "k", we get:

$12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5$

Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:

1) For $x=20$ :

$y=(1.5)(20)=30$

2) For $x=28$ :

$y=(1.5)(28)=42$

3) For $x=38$ :

$y=(1.5)(38)=57$

4 0

3 years ago

Read 2 more answers

Point m is located at 4,-2 what is located 2 units for point m

eimsori [14]

Answer:

None

Step-by-step explanation:

Given

$m = (4,-2)$

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

$m' = (4+2,-2) = (6,-2)$

$m" = (4,-2+2) = (4,0)$

$m'''= (4-2,-2) = (2,-2)$

$m'''' = (4,-2-2) = (4,-4)$

From the graph, we have:

$A = (4,2)$

$B = (-4,2)$

$C = (2,-3)$

None of the points is 2 units from m

7 0

2 years ago

At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 s

grin007 [14]

Answer:

He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.

Step-by-step explanation:

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2 years ago

A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec

AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

Find out f'(x) and f''(x)
Then set f'(x)=0 which gives x=a.
f''(a) > 0 , then at x=a , f(x) has minimum value.
If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

$h=-16t^2+32t$

Differentiating with respect to t

$h'=-32 t+32$

Again differentiating with respect to t

$h''=-32$

Next, we set h'=0

$-32 t+32=0$

$\Rightarrow 32t=32$

$\Rightarrow t=1$

Now $h''|_{t=1}=-32$

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

= -16+32

=16 feet

4 0

3 years ago

Evaluate each of the following expressions for x = 10, y = 5 and z = 2

Katarina [22]

Answer:

5x2=10.This is less informative but there was no equation soooo

Step-by-step explanation:

Or y x z = 10/ ×

6 0

3 years ago

Read 2 more answers