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3 years ago

Tell whether the following equation has one, zero, or infinitely many solutions. 2(4x + 10) = 8x + 20. Group of answer choices:

Mathematics

1 answer:

laiz [17]3 years ago

3 0

Answer:

The equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

We need to tell if the equation $2(4x + 10) = 8x + 20$ has one, zero, or infinitely many solutions.

First we solve the equation to find the value of x

$2(4x + 10) = 8x + 20$

First multiply 2 with terms inside the bracket

$8x+20=8x+20$

Now Subtract 20 from both sides

$8x+20-20=8x+20-20$

$8x=8x\\0=0$

So, the equation will be true for all values of x

As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.

Option A is correct

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german

Answer:

25 

Step-by-step explanation:

let's solve,

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3 years ago

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

A CD usually sells for $18.00. If the CD is 30% off, and sales tax is 6%, what is the total price of the CD, including tax?

natali 33 [55]

Ok first find out what it will cost after the 30% discount

18*.30=
$5.40 discount
$18.00-$5.40=
$12.60
Now lets figure out the sales tax
$12.60*.06=
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total price including tax is $13.36

6 0

4 years ago

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charle [14.2K]

A line passes throught the origin (-1, 1) and (4, n). Find the value of n. enter the correct answer in the box. I'd say (4, -2)

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6 0

3 years ago

(07.05 MC)

WARRIOR [948]

Answer:

4y = 2

Step-by-step explanation:

9y + 5 = 7 + 3y + 2y

9y-2y-3y=7-5

4y=2

5 0

3 years ago

Read 2 more answers