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2 years ago

If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r-s)(6)

Mathematics

1 answer:

daser333 [38]2 years ago

5 0

Answer:

Step-by-step explanation:

Step 1: find (r- s) or r(x) - s(x)

r(x) - s(x) = 3x - 1 - (2x + 1)

r(x) - s(x) = 3x - 1 - 2x - 1 (distribute the -1 to 2x and 1)

r(x) - s(x) = x - 2 (combine like terms, 3x + (-2x) = x, -1 + (-1) = -2)

so r(x) - s(x) = x - 2, or (r - s)(x) = x - 2

Step 2: Plug in 6 to 'x' and find (r - s)(x)

(r - s)(6) = 6 - 2 = 4

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(2x + 3y) + (4x - 3y) = 11+(-5)

Maurinko [17]

Answer:

The correct option should have been $6x=6$ .

Step-by-step explanation:

Given the expression

$\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)$

solving the expression

$\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)$

Remove parentheses: (a) = a

$2x+3y+4x-3y=11-5$

Group like terms

$3y-3y+2x+4x=11-5$

Add similar elements

$6x=6$

It is clear that not a single given option is $6x=6$ . It means no option is correct. It seems you mistyped the correct options.

The correct option should have been $6x=6$ .

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2 years ago

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

$Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3} (R)$

Height of cylinder (h) = (4/3)R

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3 years ago

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2 years ago

Rosalie bought 4 books that each cost $15.75. she used a coupon for 20% off her purchase and she paid sales tax of 8%. rounded t

lisov135 [29]

Answer:

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Step-by-step explanation:

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3 years ago

Please help ill give brainlist

nordsb [41]

Answer:

c. m∠2 = m∠5

Step-by-step explanation:

We can check 1 by 1 and find the false one.

For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.

For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.

For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.

For answer d, measure 2 and 6 are corresponding angles, so that's also not false.

Therefore, the answer must be c.

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