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3 years ago

Define variables and write each phrase as an algebraic expression for ten more than Ruben

2 answers:

6 0

Variables are those unknowns which could have more than one value, and Algebraic expression is an expression that contains numbers, variables(EX, x and y) and Operations (EX,-, +).

maxonik [38]3 years ago

3 0

This is awfully general. Ruben has or does something. Whatever. Let's call that Whatever "r." Then the expression in question is "r+10."

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The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.

inna [77]

Given that the difference between the roots of the equation $3x^2+bx+10=0$ is $4 \frac{1}{3} = \frac{13}{3}$ .

Recall that the sum of roots of a quadratic equation is given by $- \frac{b}{a}$ .

Let the two roots of the equation be $\alpha$ and $\alpha + \frac{13}{3}$ , then

$\alpha + \alpha + \frac{13}{3} =2 \alpha + \frac{13}{3} =- \frac{b}{a} =- \frac{b}{3} \\ \\ i.e.\ \ 2 \alpha + \frac{13}{3}=- \frac{b}{3}$ . . . (1)

Also recall that the product of the two roots of a quadratic equation is given by $\frac{c}{a}$ , thus:

$\alpha \left( \alpha + \frac{13}{3} \right)= \alpha ^2+ \frac{13}{3} \alpha = \frac{c}{a} = \frac{10}{3} \\ \\ i.e.\ \ \alpha ^2+ \frac{13}{3} \alpha=\frac{10}{3}$ . . . (2)

From (1), we have:

$2 \alpha =- \frac{b}{3} - \frac{13}{3} \\ \\ \Rightarrow \alpha =- \frac{b}{6} - \frac{13}{6}$

Substituting for alpha into (2), gives:

$\left(- \frac{b}{6} - \frac{13}{6}\right)^2+ \frac{13}{3} \left(- \frac{b}{6} - \frac{13}{6}\right)= \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} + \frac{13b}{18} + \frac{169}{36} - \frac{13b}{18} - \frac{169}{18} = \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} - \frac{289}{36} =0 \\ \\ \Rightarrow \frac{b^2}{36} = \frac{289}{36} \\ \\ \Rightarrow b^2=289 \\ \\ \Rightarrow b=\pm\sqrt{289}=\pm17$

5 0

3 years ago

WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT

Zinaida [17]

Answer:

How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation

Step-by-step explanation:

6 0

2 years ago

Here are some points, have a good day!

Mnenie [13.5K]

Answer:

.....

Step-by-step explanation:

................thanks.......

6 0

2 years ago

Read 2 more answers

Which sequence of transformations could be used to map triangle MNO onto M”N”O”?

Bumek [7]

Answer:

Option D

Step-by-step explanation:

I dont really know but i think its D

3 0

2 years ago

Read 2 more answers

If you help ill give you some of my banana milk...

snow_tiger [21]

Given:

The function is:

$f(x)=4x^2-25x-21$

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

$f(x)=4x^2-25x-21$

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

3 0

2 years ago