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2 years ago

Complete the equation so that it is

Mathematics

1 answer:

Setler [38]2 years ago

8 0

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1 for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

Thus,

to make the equation have no solution the blank has to be any number other than 2.

Hope this helps :)

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There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At

anyanavicka [17]

Answer:

The depth of snow at 9:00 am was 19 inches.

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

$S(x)=1.5x\ \ \ 0\leq x< 4$

At 4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

$S(x)=3(x-4)+6\ \ \ 4\leq x$

7:00 a.m. to 9:00 a.m., snow was falling at a constant rate of 2 inches per hour.

$S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9$

The required piece-wise linear function is

$\left\{\begin{matrix}1.5x & 0\leq x$

We need to find the how deep was the snow at 9:00 am

For 9:00 am we will choose the function which can take the value of x=9

Substitute the value of x=9 in $S(x)=2(x-7)+15$

$S(x)=2(9-7)+15$

$S(x)=2(2)+15$

$S(x)=19$

Hence, the depth of snow at 9:00 am was 19 inches.

3 0

2 years ago

Please Help! I have 2 questions,

GrogVix [38]

2. 5(x-1)=-3x+35
5x-5=-3x+35
5x=-3x+30
2x=30
x=15

7 0

2 years ago

Find the distance between the points ( 4, 7) and (-1,2

mihalych1998 [28]

Answer:

7.07 (3 significant figures)

Step-by-step explanation:

the distance between the two points on the x axis is 5 and the distance between the two point son the y axis is 5. thus by using pythagerous theorem you are able to get the hypotenuse which is the distance between the two points which in this case is 7.07 when rounded to 3 significant figures. not sure if im correct but i hope it helps

8 0

2 years ago

Its a word problem in algebra 1 that i need help on step by step ?

Luden [163]

Answer:

Cost of one rose bush = $2 and cost of 1 geranium = $11

Step-by-step explanation:

lets assume cost of one rose bush = $x

lets assume cost of one geranium = $y

Given that Norachai spent $13 on 1 rose and 1 geranium

⇒ 1 × (cost of one rose bush) + 1× (cost of one geranium) = 13

⇒ 1x + 1y = 13 ----------------------------equation 1

Also given that Castel spent $46 on 1 rose bush and 4 geraniums

⇒1 × (cost of one rose bush) + 4× (cost of one geranium) = 46

⇒ 1x + 4y = 46 ----------------------------equation 2

Now we are having following two equations which will be used to find the value of x and y

1x + 1y = 13 ----------------------------equation 1

1x + 4y = 46 ----------------------------equation 2

lets modify equation 1 to get value of y in terms of x and name that equation as equation 3

1x + 1y = 13 ----------------------------equation 1

⇒ y = 13 - x -----------------------------equation 3

On substituting value of y from equation 3 in equation 2 we get

1x + 4 × ( 13 - x ) = 46

⇒ x + 52-4x =46

⇒ -3x = 46-52

⇒ x = (-6)/(-3) = 2

on substituting calculated value of x that is 2 in equation 3 we get

y = 13 -2 = 11

so on solving the equations we get x = 2 and y = 11.

Hence cost of 1 rose bush = $x = $2 and cost of 1 geranium = $y = $11

8 0

2 years ago

What is the maximum number of rides Karen can go on? A) 14 B) 16 C) 18 D) 20

Nataly_w [17]

Answer:

I sorry to say but there's not enough information to go of of

4 0

1 year ago