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bekas [8.4K]
3 years ago
14

A= 1 2 3 4 5 is the solution of a set of the variable equation 3x=15

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0

Answer:

3x = 15

x = 15/3

x  =5

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Y varies directly with the square x. If y= 27 when x = 3, find y when x = -4
Lana71 [14]

Answer:

y~x²

y/x²= k

27/3²=3

therefore k= 3

y/ -4 = k

y / -4= 3

3y = -4

y = -4

6 0
3 years ago
Brooks used 2/3 of a can of paint to paint the bird feeder. A full can of paint contains 7/8 of a gallon. How much paint did Bro
Cerrena [4.2K]
When Brooks painted more he used 6/12 of what was left(1/2 of what was left)
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Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!
adelina 88 [10]

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

6 0
3 years ago
lng rordoin a party contextat the Vine House HotelYour House Hotelparty $20 $750 Chargesfor Sarah per 30 ow thperson pluspeoplet
S_A_V [24]

So in this problem we can see that there will be 60 people at the party. Following the conditions for this event that state the following: $750 for up to 30 people and every extra person pays $20. To show that the cost will be $1350 in total we simply do this:



For 30 people we have $750 dollars. Now every other person after pays only $20. That means that another the other 30 people will pay in total only $600.



If we add them we get: $750 + $600 = 1350. This shows that the cost will be $1350.

<span>
I hope it helps, Regards.</span>

3 0
3 years ago
A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
Rom4ik [11]

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

So that the amount used for the square will be 13−

13

−

x

, or

13−=524+33‾√≈5.655m

5 0
3 years ago
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