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3 years ago

Which expression is equivalent to?

Mathematics

2 answers:

AlekseyPX3 years ago

7 0

Answer:

Step-by-step explanation:

multiply the inside by -0.5

iogann1982 [59]3 years ago

6 0

Answer:

$-3\left(x-2\right)$

Step-by-step explanation:

$\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)$

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Jessica is walking home from a friend's house. After two minutes she is 0.8 miles from home. Twelve minutes after leaving, she i

ycow [4]

Answer:

3 miles per hour

Step-by-step explanation:

Jessica is walking home from a friend's house.

After 2 minutes she is 0.8 miles from the home and after 12 minutes she is 0.3 miles away fro her house.

Her rate will be = (change in distance)/change in time

= (0.8-0.3)/(12-2)

= 0.5/10

= 0.05 miles per minute

Now we will convert timings from minutes to hour.

Or = 0.05×60

= 3 miles per hour

8 0

3 years ago

The hypotenuse of a right triangle is 10m and the length of one of the legs is 8m , find the length of the other leg of the tria

Angelina_Jolie [31]

Answer:

6 m

Step-by-step explanation:

a squared + b squared = c squared

8 squared plus ? squared = 10 squared

64 + ? = 100

100 - 64 = 36

the square root of 36 is 6

6 0

4 years ago

a soft drink vendor at a popular beach analyzes his sales recods and finds that if he sells x cans of soda pop in one day, his p

ZanzabumX [31]

Complete Question:

A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x² + 3x - 1800.

a. What is his maximum profit per day?

b. How many cans must be sold in order to obtain the maximum profit?

Answer:

a. $450

b. 1500 cans

Step-by-step explanation:

Given the following quadratic function;

P(x) = -0.001x² + 3x - 1800 ......equation 1

a. To find his maximum profit per day;

Since P(x) is a quadratic equation, P(x) would be maximum when $x = \frac {-b}{2a}$

Note : the standard form of a quadratic equation is ax² + bx + c = 0 ......equation 2

Comparing eqn 1 and eqn 2, we have;

a = -0.001, b = 3 and c = -1800

Now, we determine the maximum profit;

$x = \frac {-b}{2a}$

Substituting the values, we have;

$x = \frac {-3}{2*(-0.001)}$

Cancelling out the negative signs, we have;

$x = \frac {3}{2*0.001}$

$x = \frac {3}{0.002}$

x at maximum = 1500

Substituting the value of "x" into equation 1;

P(1500) = -0.001 * 1500² + 3(1500) - 1800

P(1500) = -0.001 * 2250000 + 4500 - 1800

P(1500) = -2250 + 2700

P(1500) = $450

b. Therefore, the soft-drink vendor must sell 1500 cans in order to obtain the maximum profit.

5 0

3 years ago

Two angles are said to be congruent if

SSSSS [86.1K]

The answer is C they have the same angle measure .

7 0

4 years ago

Read 2 more answers

A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?

jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get x^2 + y^2 + 6y = 72.

x^2 is already a perfect square. Focus on rewriting y^2 + 6y as the square of a binomial: y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9 - 9 = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2. Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0

3 years ago