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3 years ago

Name the property illustrated by if y - 2 = -8, then 3(y - 2) = 3(8).

1 answer:

5 0

Not sure of name, but it should be something like the equality of equations property where k=k since you just multiplied both sides by 3

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Evaluate y^2 + 2y for y = 0, 1, and 2. Are the resulting numbers prime or composite.

Elza [17]

Y = 0:
$(0)^2+2(0)=0+0=0$
0 is neither prime nor composite.

y=1:
$(1)^2+2(1)=1+2=3$
3 is a prime number (because only 3 and 1 divide evenly into it)

y = 2:
$(2)^2+2(2)=4+4=8$
8 is a composite number (because multiple different numbers divide evenly into it: 1, 2, 4, and 8)

5 0

3 years ago

13 is 65% of what number?

umka21 [38]

Answer:

Step-by-step explanation:

set up equation

13/x=65/100

cross multiple: 1300=65x

divide 1300/65=20

5 0

3 years ago

Please help <br><br> questions 12,14,16

notka56 [123]

Answer:

12) y=3x-15

14) y=-1/2x

16) y=13x-105

Step-by-step explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

-3=3(4)+b

simplify: b= -15

14) (-4,2): -4 is x, 2 is y

2=-1/2(-4)+b

simplify: b=0

16) (9,12): 9 is x, 12 is y

12=13(9)+b

simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

3 0

3 years ago

X^2+6x+3=0<br><br> Solve the equation by completing the square

tester [92]

Answer:

Step-by-step explanation:

UKOAAAAAAKUPAAAAIJUFRHFUEHDEUEDHUDEHUSDHJUGIJUJGIJUGIJGUGJGIJGIGOOOOOOUUUIVJRIJIJRF

8 0

3 years ago

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

3 years ago