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3 years ago

Simplify 12(x-4)+4(x+7)

Mathematics

2 answers:

My name is Ann [436]3 years ago

5 0

Expand

12x - 48 + 4x + 28

Collect like terms

(12x + 4x) + (-48 + 28)

Simplify

Elenna [48]3 years ago

5 0

Answer:

16x - 20

Step-by-step explanation:

12(x-4)+4(x+7)

Applying the distributive law to both parentheses:-

= 12x - 48 + 4x + 28

= 16x - 20

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A recipe requires 1/3 cup of milk for each 1/4 cup of water.How many cups of water are needed for each cup of milk?

d1i1m1o1n [39]

3/4
Work
1/4+1/4+1/4=3/4
1/3+1/3+1/3=3/3=1

7 0

3 years ago

Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.

insens350 [35]

Answer:

$x->-2^{-}, p(x)->-\infty$ and as $x->-2^{+}, p(x)->-\infty$

Step-by-step explanation:

Given

$p(x) = \frac{x^2-2x-3}{x+2}$ -- Missing from the question

Required

The behavior of the function around its vertical asymptote at $x = -2$

$p(x) = \frac{x^2-2x-3}{x+2}$

Expand the numerator

$p(x) = \frac{x^2 + x -3x - 3}{x+2}$

Factorize

$p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}$

Factor out x + 1

$p(x) = \frac{(x -3)(x + 1)}{x+2}$

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

$x -> -2^{-}$ Say x = -3

$p(x) = \frac{(x -3)(x + 1)}{x+2}$

$p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12$

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

$x->-2^{-}, p(x)->-\infty$

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: $x>-2$

Say x = -2.1

$p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1$

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

$x->-2^{+}, p(x)->-\infty$

So, the behavior is:

$x->-2^{-}, p(x)->-\infty$ and as $x->-2^{+}, p(x)->-\infty$

6 0

3 years ago

Find the value of x in the triangle shown below.

Sloan [31]

Answer:

33 is the answer

Step-by-step explanation:

6 0

3 years ago

PLEASE SOLVE THeSE QUESTIONS

g100num [7]

Heya!

Question #15:

To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)

Question #16:

Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)

Question #17:

To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.

6 1/2 = 6 2/4 and 3 1/4

Now, add all the sides together.

6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)

Question #18:

We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.

8 + 8 + 8 = 24 inches

Circumference of a semi circle formula: C = πd

C = (3.14)(8)

C = 25.12

Now, add both perimeters together.

24 + 25.12 = 49.12 inches (Option D)

Best of Luck!

3 0

3 years ago

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What effect does the elliptical orbit of the moon around Earth have?

Levart [38]

It causes very low gravity but it still has a bit of gravity. Hope it helped! ;-) <3

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4 years ago