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3 years ago

9

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minu

s 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?

1 answer:

Margarita [4]3 years ago

3 0

Answer:

Below

Step-by-step explanation:

Let y be the missing number inside the box. The equation is:

●y( x-3)+2x= -(x-5)+4

● y (x-3) +2x = -x+5+4

● y (x-3) +2x = -x+9

● y (x-3) +2x+x = 9

●y(x-3)+3x =9

● yx-3y+3x= 9

●yx-3y+3x-9=0

●y(x-3) +3(x-3) =0

● (x-3)(y+3) = 0

●x-3=0 or y+3=0

●x=3 or y = -3

●x=3 or -y = 3

Add them together

● x-y = 6

●x=6+y

● y =6-x

So the number we should put in the box is 6-x

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Which situation is best described by this number line?

Oxana [17]

Answer: B. Ryder had $6.25. He needs to buy school supplies and ends up owing his mother $2.50

Step-by-step explanation: The number line only has single digits and every other answers have extreme changes while B has the lowest change that fits in the number line.

3 0

2 years ago

A complete table with values for x or y that make this equation true:3x+y=15

Reika [66]

Answer:

Table is attached

Step-by-step explanation:

We are given equation as

$3x+y=15$

We will complete each column

First column:

we are given x=2 and we have to find y

$3\times 2+y=15$

$6+y=15$

$y=9$

Second column:

we are given y=3 and we have to find x

$3x+3=15$

$3x=12$

$x=4$

Third column:

we are given x=6 and we have to find y

$3\times 6+y=15$

$18+y=12$

$y=-6$

Fourth column:

we are given x=0 and we have to find y

$3\times 0+y=15$

$0+y=15$

$y=15$

Fifth column:

we are given x=3 and we have to find y

$3\times 3+y=15$

$9+y=15$

$y=6$

Sixth column:

we are given y=0 and we have to find x

$3x+0=15$

$3x=15$

$x=5$

Seventh column:

we are given y=8 and we have to find x

$3x+8=15$

$3x=7$

$x=\frac{7}{3}$

now, we can complete table

8 0

3 years ago

If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?

Elan Coil [88]

Answer:

The probability that the sum of the dice is 3, is 3/16.

Step-by-step explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

$A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}$

Total number of possible outcomes = 16

The sum of the dice is 3.

$\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}$

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

$Probabilty=\frac{3}{16}$

Therefore the probability that the sum of the dice is 3, is 3/16.

8 0

3 years ago

14. If f(x) = 3x - 4 and g(x) = x2 - 4x + 6, then f(x) - g(x) for what values of x?

Ugo [173]

Answer:

X = 2

Step-by-step explanation:

6 0

2 years ago

Can anybody help me with these two questions

sladkih [1.3K]

Answer:

#1 is 39

#2 is 10 1/2

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a great thanksgiving break :)

4 0

2 years ago