First come first served brainiest:)

vlabodo [156]

Answer:

[4, positive infinity)

Step-by-step explanation:

since there is a closed circle on 4, we include 4 in the continuous interval, and we assume that the arrow represents continuity after the graph ends, so the interval of continuity is from 4 to positive infinity.

5 0

3 years ago

Brainliest for whoever gets this right!

r-ruslan [8.4K]

Answer:

The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.

5 0

3 years ago

Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. P

Vinil7 [7]

Answer:

3 pounds of peanuts and 2 pounds of cashews

Step-by-step explanation:

Let x be the pounds of peanuts and y be the pounds of cashews

Greta wants to make 5 pounds of a nut mix using peanuts and cashews.

So, $x+y=5$ ----- A

Cost of 1 pound of peanuts = $4

Cost of x pounds of peanuts = 4x

Cost of 1 pound of cashews = $9

Cost of y pounds of cashews = 9y

Her budget requires the mixture to cost her $6 per pound

So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)

So, $4x+9y=6(x+y)$ --- B

Plot A and B

$x+y=5$ ---Blue

$4x+9x=6(x+y)$ ---Green

Refer the attached figure

Intersection point = (x,y)=(3,2)

Hence she should use 3 pounds of peanuts and 2 pounds of cashews

6 0

3 years ago

A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a

dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

 1/6 = 5/30

 1/10 = 3/30 .

So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
15 hours to fill the pool.

If the drain pipe had not been open, the filler pipe alone could have filled
the pool 2-1/2 times in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.

6 0

3 years ago

If the expression x-3 has a value of -5,then which of the following represents the value of 3x-9

Angelina_Jolie [31]

Answer:

-15

Step-by-step explanation:

Italics by itself are comments, italics and underlines are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa).

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition (in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation). By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once (well not in this equation).

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number).

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:

3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)

(An asterisk can also symbolise multiplication).

Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.

-6 divided by 3 is equal to -2 (a positive divided by a negative will always be negative and vice versa).

Hence, x=-2.

8 0

3 years ago