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icang [17]
2 years ago
5

PLEASE HELP ME!! (50 COINS) (i rlly need help so im giving coins away PLEASE ANSWER IMMEDIATELY!!!)

Mathematics
1 answer:
Archy [21]2 years ago
5 0

Hello from MrBillDoesMath!

Answer:

4( x + 1.5)^2 + 0  

Discussion:

4x^2 + 12x + 9 =                => factor "4" from first 2 terms

4 (x^2 + 3x) + 9 =               => complete the square, add\subtract (1.5)^2

4(x^2 + 3x + (1.5)^2)  - 4 (1.5)^2 + 9  =

4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) =           => as (1.5)^2 = 2.25

4 ( x + 1.5)^2 + ( 9 - 4(2.25)) =        => as 4 ( 2.25) = 9

4 ( x+ 1.5)^2 + 0


Thank you,

MrB

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Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this
statuscvo [17]

Answer:

\dfrac{14}{75}

Step-by-step explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be  successful is

\dfrac{6}{15}=\dfrac{2}{5}

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be  successful is

\dfrac{7}{15}

The probability that they both make their next shot successfully is

\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}

5 0
3 years ago
Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large
Natasha_Volkova [10]
Answer=140 fish

200 gallons of water in the first aquarium.

200 gallons of water in the second aquarium.

The first will be for the small fishes.

   5 small fish            x fish
_____________=__________
     10 gallons        200 gallons

cross multiply
10x=1000
divide both sides by 10
x=100 small fish

The first aquarium has 100 small fish.

The second aquarium holds large fish.

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____________=___________
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The second aquarium has 40 large fish.

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7 0
3 years ago
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Suppose that y varies directly with x. Given x=4 when y=20.<br> Find y when x = 3
scoray [572]

Answer:

y = 15

Step-by-step explanation:

Given: y varies directly with x, x=4 when y=20

To find:  y when x = 3

Solution:

As y varies directly as x, it means that as x increases, y also increases by the same factor.

As y varies directly with x,

y=kx

Here, k is a constant

As x = 4 when y = 20,

20=4k\\k=\frac{20}{4}=5\\\Rightarrow y=5x

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y= 5(3) = 15

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2 years ago
Find the coordinates of point B along a directed line segment from A(3,4) and
andreev551 [17]

We have been given two points. A(3,4) and C(3,9). We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio m:n, then coordinates of point P are:

[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]

(x_1,y_1)=(3,4) and (x_2,y_2)=(3,9).

m=4,n=1

Upon substituting our given information in above formula, we will get:

[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]

[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]

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3 years ago
What is the slope of a line that is parallel to the graph of 5x+4y=y?
torisob [31]

Answer:

-5/3

Step-by-step explanation:

7 0
3 years ago
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