In city A, the temperature rises 9° F from 8am then the temperature drops 8°F from 9am to 10am in city B the temperature drops 1°F from 8am to 9am then the temperature drops 3°F from 9am to 10am write an expression that represents the change In temperature from 8am to 10am for each city. Simplify and interpret each sum. Which expression represents the change in temperature for city A?

Answer:

f^(-1)(x) = -3x/(3x-3)

Step-by-step explanation:

1) replace f(x) by y

● y = 3x/(5x+3)

2) exchange x and y

● y = 3x/(5x+3)

● x = 3y / (3y +3)

3) solve for y

● x = 3y / (3y +3)

● x (3y +3) = 3y

● 3xy + 3x = 3y

● 3xy - 3y = -3x

● y (3x - 3) = -3x

● y = -3x /(3x-3)

4) replace y with f^(-1)(x)

● y = -3x/(3x-3)

● f^(-1)(x) = -3x/(3x-3)

Answer:

5x + 6y = -10

Step-by-step explanation:

(-2, 0) and (-8, 5)

m = (y₂ - y₁) /  (x₂ - x₁)

m = (5 - 0) / (-8 -(-2)

m = 5 / (-8+2)

m = -5/6

y = mx + b

(-8, 5)

5 = -5/6(-8) + b

5 = 40/6 + b

b = 5 - 40/6

b = -5/3

y = mx + b

y = -5/6x - 5/3           *6

6y = -5x -5(2)

6y = -5x - 10

5x + 6y = -10

Answer:

54$

Step-by-step explanation:

1. 39+15 = 54

Answer:

X,2,3

Step-by-step explanation:

LEARN THIS PLZ

Answer:

Step-by-step explanation:

Reflect over Ox axis , then translate x+6 , y-1

Answer

2.0909090909090909090909090909090909090...

Step-by-step explanation

Answer:

y = 9

Step-by-step explanation:

Given

6.4x + 2.8y = 44.4 ← substitute x = 3 into the expression

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4 ( subtract 19.2 from both sides )

2.8y = 25.2 ( divide both sides by 2.8 )

y = 9

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

Answer:

First one second one and fifth one.

Step-by-step explanation:

Got it right on edge

Answer:

c

Step-by-step explanation:

djdjsiksfnjdkdkdke

Answer:

y = 4(x - 2)² + 48

Step-by-step explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

   = 4(x - 2)² - 16 + 64

    = 4(x - 2)² + 48

y = 4(x - 2)² + 48

Step-by-step explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

  = 4(x - 2)² - 16 + 64

   = 4(x - 2)² + 48

Answer:

10

Step-by-step explanation:

-12+22

10

Answer:

10

Step-by-step explanation:

Answer:

the answer to that question is 11/16

Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.

Recall :

The only way to choose two tiles which sums up to a number greater than 7 would be :

Since selection is performed with replacement ;

The probability of choosing two tiles whose sum is greater than 7 ;

Hence, probability of choosing tiles with a sum greater than 7 is 11/16

Therefore, the probability of picking two tiles which sums above 7 is 11/16.

Learn more : https://brainly.com/question/25568773

Answer:

20cm

Step-by-step explanation:

Volume of cylinder = (pi) r^2 x height.

Rearrange:

500pi/5^2 pi = height

500pi/25pi = 20

Height = 20cm

Hope this helped!

Answer:

Step-by-step explanation:

[tex]2.4\times\:10\\[/tex]

Multiply without the decimal points then put the decimal point in the answer

[tex]24\times\:10=240\\[/tex]

2.4 has 1 decimal place

10 has 0 decimal places

Therefore, the answer has 1 decimal place

[tex]\\=24.0\\\\=24[/tex]

The value product of 2.4 × 10 will be 24.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 2.4 × 10

Now,

Since, The expression is,

⇒ 2.4 × 10

After multiply, we get;

⇒ 2.4 × 10 = 24

Thus, The value = 24

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ5

Step-by-step explanation:

[tex]( \frac{1}{2}) {}^{3} [/tex]

[tex] \frac{ {1}^{3} }{2 {}^{3} }{} [/tex]

[tex] \frac{1}{8} [/tex]

Answer:

N

Step-by-step explanation:

n has both s and u

m has only u

p has only s

Answer: b. counterexample

A counterexample contradicts the statement or definition you're trying to set up.

For example, if you said that 2x+3x = 7x was true for all x values, then all you need to do is try something like x = 2 to find the original equation simplifies to 10 = 14, which is false. In this case, the counterexample is x = 2 invalidating the equation 2x+3x = 7x.

Answer: C. The amount of data collected was inadequate:

Step-by-step explanation: Interviewing 15 students out of 1,200 does not show an accurate result, as he should have interviewed more students. Also, just took the quiz.

Answer:

(5x + 2) - (-9x - 2)

O 11x2 – 5x + 8

14x + 4

–6x2 + 8x 7

-X2 + 6

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x + 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5x + 2) - ( - 9x - 2)}[/tex]

When there is a ( - ) sign in front of an parentheses in an expression , change the sign of each term in the expression. Also, remove the parentheses

[tex] \dashrightarrow{ \sf{5x + 2 + 9x + 2}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{14x + 2 + 2}}[/tex]

Add the numbers : 2 and 2

[tex] \dashrightarrow{ \sf{14x + 4}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

As seen from the first given equation: x + 1/x = 2

If we think of x as x/1 instead then we get:

x/1 + 1/x = 2.

To combine the fractions we multiply the top and bottom of the first one (x/1)  by x to get x^2/x so both have the same denominator so we can combine them which gives us:

(x^2+1)/x=2

Move x to the other side and we get:

x^2+1=2x

Move it back and we get a quadratic equation of

x^2 - 2x + 1

This factors into (x-1)(x-1) meaning x=1

For all the other equations they are equal because x=1.

1 to the power of anything is still one so each of the equations below will result in: 1+1/1 which is 2.

Therefore all of them are equal.

Hope this helped!

Answer:

-9w+12wx+3wy

Step-by-step explanation:

just distribute 3w through the parentheses

Answer:

5/21

Step-by-step explanation:

=>4/7+(-1/3)

=>4*3/7*3+(-1*7/3*7)

=>12/21-7/21

=>5/21

Answer:

5/21

Step-by-step explanation:

        -1/3=7/21

= 5/21

Answer:

58 i think

Step-by-step explanation:

Answer:

Mmm... a product would be like 10+4=14

Step-by-step explanation:

thats what you are looking for right

Answer:

Here,

JM=MK

so,

7x+5 = 8x

[tex]7x + 5 = 8x \\ ⇒ 5 = 8x - 7x \\ ⇒5 = x[/tex]

. ° . JM = 7x+5 = 7×5+5 = 40

. ° . MK = 8x = 8×5 = 40

Hence,