All categories

3 years ago

Graph the direct variation y=−1.5x. Using the graph, find the value of y corresponding to the value of x equal to 1; 0; 2; 3.

1 answer:

6 0

X=1
y=-1.5(1)
y=-1.5
(1,-1.5)

x=0
y=-1.5(0)
y=0
(0,0)

x=2
y=-1.5(2)
y=-3
(2,-3)

x=3
y=-1.5(3)
y=-4.5
(3,-4.5)

all you do is substitute the x value in the equation to get y

You might be interested in

Can someone please help me factor this

Dmitry_Shevchenko [17]

Answer:

$\huge\boxed{\bf\:1}$

Step-by-step explanation:

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$

Take $\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }$ & factorise it at first.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}$

Now factorise the next set : $\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$ .

$\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}$

Now, multiply the two simplified results.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}$

$\rule{150pt}{2pt}$

7 0

2 years ago

Samantha just opened a new restaurant. She earned $550 on the first day and $750 on the third day that she was open for business

mr Goodwill [35]

Answer:

Step-by-step explanation:

If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.

If she earned $550 in the first day, we can say the first term is $550

If she earned $750 on the third day, we can say the third term is $750

For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence

550, x , 750

T1 = 550

T2 = x

T3 = 750

Common difference d = T2-T1 = T3-T2

x - 550 = 750 - x = d

Let's calculate the second term first i.e x

Since x - 550 = 750 - x = d

x - 550 = 750 - x

Collect like terms

x+x = 750+550

2x = 1300

x = 1300/2

x = 650

d = T2-T1

d = x - T1

d = 650-550

d = 100

Hence her money keeps increasing by $100 each day

8 0

3 years ago

The price of an item has dropped to $84 today. yesterday it was $120 . find the percentage decrease.

ddd [48]

The price of an item has dropped to $84 today. yesterday it was $120 . find the percentage decrease.

8 0

3 years ago

Write the standard form of the line that contains a slope of and y-intercept of 3. include your work in your final answer. user:

KonstantinChe [14]

The slope is 3?? if yes, use the formula y=mx+b and plug in the slope and y int y=3x+3

6 0

3 years ago

When 3/11 is written as a decimal, how many digits are in the smallest sequence of repeating digits?

Anna11 [10]

It's b, 2
The reason is because 3/11=0.27 that repeats the 27 over again

7 0

3 years ago

Read 2 more answers