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3 years ago

-6x + 3(x - 5) - 2x = -25

Mathematics

2 answers:

marin [14]3 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

−6x+3(x−5)−2x.

Simplify

6 x + 3 x − 15 − 2 x = − 25

− 3 x − 15 − 2 x = − 25

−5x−15=−25

Move all terms not containing x to the right side of the equation.

−5x=−10

Divide each term by −5 and simplify.

x=2

love history [14]3 years ago

4 0

Answer:

x=2

Step-by-step explanation:

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5b 2 −6b−2 is prime TURE OR FALSE!! 100 POINTS PLEASE HELP!!!!

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The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

<h3>What is the discriminant of the expression?</h3>

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

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2 years ago

Find the hypothesis for side a 16 side b 20

Rom4ik [11]

I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following

a^2 + b^2 = c^2

16^2 + 20^2 = c^2

256 + 400 = c^2

656 = c^2

c^2 = 656

c = sqrt(656)

c = sqrt(16*41)

c = sqrt(16)*sqrt(41)

c = 4*sqrt(41)

The hypotenuse is exactly 4*sqrt(41) units long

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5 0

3 years ago

Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 16 grams of protein and 32 grams of fat per pound, while ga

Alex

Answer:

To minimize costs, the pounds of giraffe meat are 1,067 and the pounds of gazelle meat are 267.

Step-by-step explanation:

Let

x -----> pounds of meat of giraffe

y -----> pounds of meat of gazelle

we know that

$16x+32y \geq 25,600$ -----> inequality A

$32x+16y \geq 38,400$ -----> inequality B

$C=x+2y$ ----> the function cost

using a graphing tool

The solution of the system of inequalities is the shaded area (positive values of x and y between the two solid lines)

see the attached figure

Three vertices of the shaded area are (0,2,400), (1,067,267) and (1,600,0)

Substitute in the function cost and then compare the results

For (0,2,400)

$C=0+2(2,400)=\$4,800$ ---> It doesn't make sense, because lion food should contain giraffe meat and gazelle meat.

For (1,067,267)

$C=1,067+2(267)=\$1,601$

For (1,600,0)

$C=1,600+2(0)=\$1,600$ ---> It doesn't make sense, because lion food should contain giraffe meat and gazelle meat.

therefore

To minimize costs, the pounds of giraffe meat are 1,067 and the pounds of gazelle meat are 267.

5 0

4 years ago