What is the complete factorization of r2 - 6r

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

alukav5142 [94]

This is a part:part ratio. to solve it we need to convert it into a part:whole ratio. we do this by adding the parts. the ratio of pumpkin cans to total cans is 5:7. 140/7=20. 20x5=100. 20x2=40. The answer is B. 40 cans.

5 0

2 years ago

Ryan has x stamps in his collection if he was 6 times as many stamps as penny, how many stamps does penny have in her collection

Free_Kalibri [48]

The number of stamps with penny in terms of x is $\frac{x}{6}$

<em><u>Solution:</u></em>

Given that,

Ryan has x stamps in his collection

Number of stamps of Ryan = x stamps

Let the stamps with penny be "a"

Ryan has 6 times as many stamps as penny

Therefore,

Number of stamps in Ryan = 6 times as many stamps as penny

$\text{Number of stamps in Ryan } = 6 \times a\\\\x = 6a\\\\a = \frac{x}{6}$

Thus number of stamps with penny in terms of x is $\frac{x}{6}$

7 0

3 years ago

If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

Leno4ka [110]

Answer:

$A = 6$ .

Step-by-step explanation:

Let $a$ denote a constant (a number, rather than a variable like $x$ .)

Let $f(x)$ denote an expression about $x$ (for example,

By the factor theorem, if $(x - a)$ is a factor of $f(x)$ , then $f(a) = 0$ . In other words, if all mentions of $x$ in the expression $f(x)\!$ are replaced with $a$ , then the expression should evaluate to zero.

$(x + 3)$ is equivalent to $(x - (-3))$ . That is: $a = -3$ .

Replace all mentions of $x$ in $x^3 - x^2 - 10\, x + A$ by $(-3)$ to get:

$(-3)^3 - (-3)^2 - 10\times (-3) + A$ .

That should evaluate to zero. Therefore: $-27 - 9 + 30 + A = 0$ . Solve for $A$ to get $A = 6$ .

7 0

2 years ago

Using complete sentences, discuss the different kinds of real numbers. In your answer, glve an example of each type and discuss

Nadya [2.5K]

Answer:

Different type of real numbers include natural numbers, whole numbers, integers, irrational numbers, and rational numbers. Natural numbers are the set of numbers (1, 2, 3, 4...) also known as counting numbers. Whole numbers are natural numbers including zero (0, 1, 2, 3, 4...). Integers are the set of whole numbers and their opposites (-3, -2, -1, 0, 1, 2, 3...). Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. An example of an irrational number is pi (3.14). A rational number is a number that can be written as a fraction. It includes integers, terminating decimals, and repeating decimals. An example of a rational number is the number 214.

Step-by-step explanation:

7 0

2 years ago

Jeanine paid an annual premium of $1,200 in total liability coverage for her car, including up to $400,000 in bodily injury cove

Vinil7 [7]

The answer is B- Yes, the cost of the annual premium for 12 years was less than the accident claims.

3 0

2 years ago

What is the complete factorization of r2 - 6r - 9s2 + 9?