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2 years ago

4x2 + 4x - 2y2 +3y, when x is equal to -2 and y is equal to 3?

Mathematics

1 answer:

dybincka [34]2 years ago

6 0

Step-by-step explanation:

simplify to:

8x + 4x - 4y + 3y

combine like terms:

12x - 1y

replace variables:

12(-2) -1(3)

multiply:

-24 - 3

simplify:

-27

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Amy jogs 1/3 of a mile in 1/15 of an hour, while john takes 1/30 of an hour to jog 1/5 of a mile. If they continue at this rate,

jolli1 [7]

Step-by-step explanation:

Given that,

Amy jogs 1/3 of a mile in 1/15 of an hour and john takes 1/30 of an hour to jog 1/5 of a mile.

Speed of Amy,

$v_1=\dfrac{\dfrac{1}{3}\ miles }{\dfrac{1}{15}\ h}=5\ mph$

Speed of John,

$v_2=\dfrac{\dfrac{1}{5}\ miles }{\dfrac{1}{30}\ h}=6\ mph$

John will jog farther in one hour as he is moving with faster speed. The speed of John is 1 mph more than Amy.

6 0

2 years ago

48 is what percent of 114

SSSSS [86.1K]

48% is 54.72 of 144
Hope it helped

3 0

2 years ago

Read 2 more answers

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Vsevolod [243]

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

5 0

2 years ago

In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.

yan [13]

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Step-by-step explanation:

The average rate of change of the cost of a pack ( $r$ ), in monetary units per year, is equal to the change in the average cost of a pack ( $\Delta c$ ), in monetary units, divided by the change in time ( $\Delta t$ ), in years. Then, the average rate of change is: