The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal.

Answer:

C: Xint = 2, Yint. = -7

Step-by-step explanation:

Given the equation, 2x - 7y = -14:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.  To solve for the y-intercept, set x = 0:

2x - 7y = -14

2(0) - 7y = -14

0 - 7y = -14

-7y = -14

Divide both sides by -7 to solve for y:

-7y/-7 = -14/-7

y = 2

Therefore, the y-intercept = 2.

Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:

2x - 7y = -14

2x - 7(0) = -14

2x - 0 = -14

2x = -14

Divide both sides by 2 to solve for x:

2x/2 = -14/2

x = -7

x-intercept = -7.

Therefore, the correct answer is C: Xint = 2, Yint. = -7

Please mark my answers as the Brainliest if you find this helpful :)

Answer:

$7

Step-by-step explanation:

They spent $71.

Entry fee: $44

Soda: 3 * $2 = $6

$71 - $44 - $6 = $21

They spent $21 on nachos.

$21/3 = $7

Answer: $7

Answer:

$7

Step-by-step explanation:

After paying for the fee and soda, they are left with $21 for the nachos making it $7 each for the nachos

Answer:

but I don't know,I hope you understand

Step-by-step explanation:

i hope you understand ☺️

if who one knows please answer her/his question

thank you

Answer:

AB is 17 and the midpoint of AB is (-2, - 2.5).

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

9 can be represented as 9/1, which is the reciprocal of 1/9.

Answer:

yes, they are

Step-by-step explanation:

Since a reciprocal is basically an inverse fraction,

9 is also known as 9/1

whn inverted, you get 1/9.

the same applies vice versa

1/9 --> 9/1

therefore, making then reciprocals

hope this helps :)

please crown me brainliest!!!

Answer:

[tex](x+3)(x-3)[/tex]

Step-by-step explanation:

This equation is called a "difference in perfect squares".

The resulting answer should be: [tex](x + y)(x-y)[/tex] where the y variable is the square root of the given number. In this instance, the integer 9

So knowing that the square root of 9 is 3 we can plug in 3 for both of the y spots which results in our answer.

If you wish to check this answer you can peform the "FOIL" method (first, outside, inside, last) in order to solve the equation which would result in:

[tex]x^{2}-9[/tex]

I hope this helped! Feel free to ask questions if needed!

Answer:

I'm not to sure

Answer:

inverse of 5/42 = -42/5 = -8 2/5 = -8.4

inverse of 15/42 is flipped -42/5 = -2.8

The decimal steps are;

if 5/42 then show -1/1 = 5/42 = 42/5 = 8 2/5

= 8.4

if 15/42 then -1/1  ÷15/42  = -14/5

=  -2.8

Step-by-step explanation:

if the question was 15/42 then we divide by -1 /15/42 = -42 / 15

so we can divide all by -1 or -1/1

The calculation steps are ;

-1/1÷  15/42  

=  -1/1×42/15

= -1 × 42 /  1 × 15

=  -42/15

The decimal steps are;

if 5/42 then show -1/1 = 5/42 = 42/5 = 8 2/5

= -8.4

if 15/42 then -1/1  ÷15/42  =–14/5

=  –2.8

[tex] \frac{4y}{9} - \frac{2y}{3} = 10 \\ = > \frac{4y - 6y}{9} = 10 \\ = > \frac{ - 2y}{9} = 10 \\ = > y = 10 \times \frac{9}{ - 2} \\ = > y = - 5 \times 9 \\ = > y = - 45[/tex]

-45

Answer:

basically if you translate you are moving it.

x - √3y - 4 = 0 → Choice A

Step-by-step explanation:

x - 4 = √3y

x - 4 - √3y = √3y - √3y

x - 4 - √3y = 0

x - √3y - 4 = 0

Answer:

4.443664/2

Step-by-step explanation:

Mark me brainliest

sry i was trying to send it but it didnt work so i took screenshot and there you go the answers.

Answer:

x=6

y=24

Step-by-step explanation:

14x+4+16x-4=180

30x=180

x=6

14(6)+4=4y-8

84+4=4y-8

88=4y-8

96=4y

24=y

Answer:

y=3x+2

Step-by-step explanation:

this is in slope intercept form, y=mx+b

Answer:

417,808

Step-by-step explanation:

original weight = x

A 27% decrease is the same as multiplying by 0.73

27% = 0.27

1 - 0.27 = 0.73

x × 0.73 = 305,000kg

To find x, divide 305,000kg by 0.73

305,000 ÷ 0.73 = 417,808.2192 ≈ 417,808

Answer: 10

Step-by-step explanation:

2|-1-(3)(2)|-4

2|-1-6|-4

2|-7|-4

absolute value; |-7| = 7

(2)(7) - 4

14 - 4 = 10

please give me a brainliest answer

Answer:

D.3.141141114

Step-by-step explanation:

3.141141114 is an irrational number because it has not teminating non repeating condition.

Answer:

It would cost as much as it would say it costs

Step-by-step explanation:

it will cost as much as it will

please write clear handwriting

Answer:

I hope the above image will be helpful

Answer: 6mm

Step-by-step explanation: It is an equilateral triangle so all equal length so 18/3 sides equal to 6mm

Answer:

(7+11x)(7-11x)

Step-by-step explanation:

pls make brainliest

Answer:

3

Step-by-step explanation:

2 - 3

-1

-1 + 2(2)

-1 + 4

=3

Work Shown:

Data set = {3, 6, 5, 5, 5, 7, 6, 4, 6, 7, 7, 3}

Sorted data set = {3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7}

We see that the numbers 5, 6, and 7 show up exactly three times. This is the most frequent compared to something like 4 that only shows up once. Therefore, the modes are 5, 6, 7.

Answer:

f(x)=-4x+14

Step-by-step explanation:

These are the way to convert from vertex to stand form

Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k ;

Multiply the terms in the parenthesis by a : y = a*x² - 2*a*h*x + a*h² + k ;

Answer:

[tex] \sqrt[3]{ - 343} = - 7[/tex]