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3 years ago

If x³ + 2x and x³ − 7x² + 4x +2 + k have a common linear polynomial factor, then the value of k is what?

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

k = -2

Step-by-step explanation:

Factor x³ + 2x:

x³ + 2x = x(x² + 2)

1. The common factor is x, then:

2 + k = 0 ⇒ k = -2 (all the rest are divisible by x)

2. Factor x² + 2 is not linear therefore we discard it.

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After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1200 for hotel costs. They wan

MatroZZZ [7]

Answer:

i think its 6c+240=1200

Step-by-step explanation:

6 = amount of nights

240=tax

c = total cost a night

1200 = budget

6 0

3 years ago

Read 2 more answers

Find the equation of a line that passes the points (5, -9) and (0, -3)

kobusy [5.1K]

Answer:

y = -6/5x - 3

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find Slope

m = $\frac{y2-y1}{x2-x1}$

m = $\frac{-3 - (-9)}{0 - 5}$

m = $\frac{-3 + 9}{-5}$

m = $\frac{6}{-5}$

m = $\frac{-6}{5}$

Step 2: Plug into Point Slope Form

(y - (-3)) = -6/5(x - 0)

y + 3 - 3 = -6/5x - 3

y = -6/5x - 3

Answer: y = -6/5x - 3

5 0

3 years ago

Read 2 more answers

Find the values of the apple, banana and lollypop below. Pls help

maks197457 [2]

Answer:

a= Apple = 3

b= Banana =5

v= Lollypop=1

Step-by-step explanation:

36 is divided into 2 giving us 18

Let apple=a

Banana=b

Lollypop=c

In the first half

An apple + 3 bananas=18

a+3b=18 (1)

Second half is further divided into 2

That is,

18÷2=9

First half of the second half

3apples=9

3a=9 (2)

Second half of the second half

1 apple + 1 banana + 1 lollypop=9

a+b+c=9 (3)

a+3b=18 (1)

3a=9 (2)

a+b+c=9 (3)

From (2)

3a=9

Divide both sides by 3

a=9/3

a=3

Substitute a=3 into 1

a+3b=18

3+3b=18

3b=18-3

3b=15

Divide both sides by 3

b=15/3

b=5

Substitute the value of a and b into (3)

a+b+c=9

3+5+c=9

8+c=9

c=9-8

c=1

Therefore,

a= Apple = 3

b= Banana =5

v= Lollypop=1

6 0

3 years ago

Urgent help!!! Write equation in slope intercept form. 1.25 (25) = 31.25

Fantom [35]

The equation in slope intercept form is, $31.25 = 1.25 \times 25 +0$ . The given equation is obtained by comparing the standard equation of the straight line.

<h3>What is a slope of a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The given equation is;

1.25 (25) = 31.25

31.25=1.25 (25)

The standard equation of the slope intercept form. is;

$\rm y = mx +x$

On comparing the given equation with the above equation, we get;

y=31.25

m=1.25

x=25

c=0

The equation in slope intercept form is;

$31.25 = 1.25 \times 25 +0$

Hence, the above equation is the slope intercept form.

Learn more about the slope of the straight line;

brainly.com/question/3493733

#SPJ1

8 0

2 years ago

Solve for x: x^2 + 14x + 49

Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0

3 years ago