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Lera25 [3.4K]
3 years ago
14

Evaluate: 3x^2 + y when x=1 and y=-3 *

Mathematics
1 answer:
Sliva [168]3 years ago
4 0

Answer:

0

Step-by-step explanation:

x=1 and y=-3

so 3x^2 + y = 3*1^2 + (-3)

= 3* 1 -3

=0

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What operation does the bar between the numerator and denominator of a fraction represent?
atroni [7]
The bar between the numerator and denominator of a fraction represent division.
6 0
3 years ago
The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?​
gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)

On comparing both sides, we get

\dfrac{-3+a}{2}=2

-3+a=2\times 2

a=4+3

a=7

And,

\dfrac{3+b}{2}=0

3+b=0

3+b-3=0-3

b=-3

Therefore, the coordinates of point B are (7,-3).

5 0
3 years ago
What is the area of the following figure:
xenn [34]

Answer:

180cm^2

Step-by-step explanation:

split it into 2 different triangles one is 24 x 4 and the other is 24 x 11 then add them together

24 x 4 is 96/2 is 48

24 x 11 is 264/2 is 132

add 48 + 132 to get an answer of 180 cm^2

if anything doesnt seem right just comment and i will try and figure out what has gone wrong

hope this helps :)

4 0
3 years ago
7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted
Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

8 0
3 years ago
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe dr
svetlana [45]

Answer:

8gallons

Step-by-step explanation:

If Joe drinks 10 liters of water every week, then;

10liters = 1 week

After 3weeks;

x litres =3 weeks

Divide both expressions

10/x = 1/3

x = 3*10

x = 30litres

This means he consumes 30litres in 3 weeks

If there are approximately 19 liters in 5 gallons, the;

19litres = 5gallons

To determine the number of gallons consumed in 3 weeks;

30litres = y

Divide both expressions

19/30 = 5/y

Cross multiply

19 * y = 30*5

19y = 150

y = 150/19

y = 7.89

y ≈ 8 (to nearest whole number)

Hence Joe drinks 8gallons of water in 3weeks

7 0
3 years ago
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