Temperature Change In Detroit the temperature is 69F and is rising at a rate of 2F per hour. In Atlanta the temperature is 84F and is falling at a rate of 3F per hour. If the temperatures continue to change at the same rate, how long will it be before the temperatures are the same?

Answer:

6a^2 - 13ab - b^2 (option 1)

Step-by-step explanation:

(3a^2 - 5ab + b^2) - (-3a^2 + 2b^2 + 8ab)

3a^2 - 5ab + b^2 + 3a^2 + -2b^2 + -8ab

6a^2 - 13ab - b^2

Answer: 6a^2 - 13ab - b^2

Step-by-step explanation:

3a^2 - 5ab + b^2

+3a^2 - 8ab - 2b^2

=

6a^2 - 13ab - b^2

Answer:  0.0509km 60.5m 5700cm

Greatest to least

Step-by-step explanation:

Answer: each cupcake was 6.75

Step-by-step explanation: 12.00 + 3.50 =15.50 29.00- 15.50 is 13.50 divide by 2 boom 6.75 is each cupcake

Answer:

Z=5

Step-by-step explanation:

half of 48 is 24 and half of 10 is 5.

Hope it helps :)

Answer:

40 sodas

50 juices

that's it

Answer:

Length = 5 feet

Width = 4 feet

Step-by-step explanation:

Perimeter of the sandbox = 18 feet

Perimeter of a rectangle = 2(length + width)

the length of the sandbox is one foot longer than the width

Let

Width = x

length = x + 1

Perimeter of a rectangle = 2(length + width)

18 = 2{(x+1) + x}

18 = 2{x + 1 + x)

18 = 2(2x + 1)

18 = 4x + 2

4x = 18 - 2

4x = 16

Divide both sides by 4

x = 16/4

= 4

Width = x = 4 feet

length = x + 1

= 4 + 1

= 5 feet

Step-by-step explanation:

r u adding them or not if so it will be 2 years:0 months

Answer:

the first one is 3

the second one is 7

the third one is -2

and the last one is -3

Step-by-step explanation:

The equation is matched with its solutions below;

1/4x + 5/3x - 4 = 2 - 1/12x

combine like terms

1/4x + 5/3x + 1/12x = 2 + 4

(3x+20x+x) / 12 = 6

24/12x = 6

2x = 6

Divide both sides by 2

x = 6/2

x = 3

3.2b - 4.7 = 3b - 3.3

combine like terms

3.2b - 3b = -3.3 + 4.7

0.2b = 1.4

divide both sides by 0.2

b = 1.4 / 0.2

b = 7

4.6y - y + 4 = y - 1.2

combine like terms

4.6y - y - y = - 1.2 - 4

2.6y = - 5.2

divide both sides by 2.6

y = -5.2 / 2.6

y = -2

7.5c - 2.5c + 8 = - 7

5c = -7 - 8

5c = -15

divide both sides by 5

c = -15/5

c = -3

Read more on equation:

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Answer:

33%

Step-by-step explanation:

*i rounded 1/3 ( 33.3 repeating )*

Answer:

-21x/5 + 7/3

Step-by-step explanation:

-4x + 1/3 + 2 - x/5

= -4x - x/5 + 1/3 + 2

= -(20x+x)/5 + (1+6)/3

= -21x/5 + 7/3

Answer:

coefficient: a numerical or constant Quanity plays before and multiplying the variable in and algebraic

constant turn: a constant is it's only number or sometimes a letter such as a, b, or c

like terms: our terms food variables and their exponents such as two X over two, (are the same).

Answer:24 dogs

Step-by-step explanation:8x3

Answer:

35

Step-by-step explanation:

If it hasn't started X would be 0 so it be 35+45(0) that would give you 35.

I think U gave an incorrect question

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (1, 9) , thus

y - 9 = 2(x - 1) → C

Answer:

y = 12

Step-by-step explanation:

The two bars between x mean absolute value, so all negatives turn into positives because absolute value just means the total distance from zero.

y = |x| +6

y = |-6|+6

y = 6+6

y = 12

Have an amazing day!!!! C:

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation:

Answer:

25. Not a function because when you use vertical line test, you came across two points at the same time.

26. This is a function because when you vertical line test, you don't come across two points at the same time.

Step-by-step explanation:

Answer:

P= $2.75

Step-by-step explanation:

So first we need to create our system of equations

since each popcorn is 0.40 less than each drink we can make the equation:

D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.

Next, we create the overall equation:

$24.00 = 3P + 5D

Now plug in D from the first equation into the second equation:

$24.00 = 3P + 5( P + 0.40)

Distribute the five and solve for P:

$24.00 = 3P + 5P + 2

$22.00 = 8P

P = $2.75

Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.

Answer:

one minute I'm doing the work right now

Answer:

Step-by-step explanation:

So you would take like three points from the shape and Multiply it by 1/3 and make the new graph.

I would show you but I dont know what to use for it.

Answer:

So, just divide each side by three

Step-by-step explanation:

.....

I cant draw it for you, but thats how u do it

Answer:

Step-by-step explanation:

3

Answer:

8,22

Step-by-step explanation:

Answer: Actual length of the bus = 171.67 feet

Width of the lake on the scale drawing = 12.5 inches

Step-by-step explanation:

Given : A scale drawing of a school bus has a scale of 12 inch to 5 feet.

i.e. 12 inch = 5 feet

[tex]\Rightarrow \text{ 1 inch}=\dfrac{5}{12}\text{ feet}[/tex]

If length of school bus on scale drawing = 412 inches

Then, Actual length of bus = [tex]\dfrac{5}{12}\times412=171.67\ \text{feet}[/tex]

A scale drawing of a lake has a scale of 1 cm to 80 m.

If the actual width of the lake is 1,000 m

then, the width of the lake on the scale drawing = [tex]\dfrac{1000}{80}=12.5\text{ inches}[/tex]

Answer:

irrational

Step-by-step explanation:

Answer:

I think rational because like it can be a fraction. but like I wouldn't trust me.

Given:

Butterfly can travels = 82 km each day.

Total distance = 3936 km.

To find:

The number of day it takes to travel the given distance.

Solution:

Let the number of days it takes to travel be d.

Butterfly can travels about 82 km each day.

So, distance traveled by it in d days = (82d) km

Total distance is about 3936 km.

[tex]82d=3936[/tex]

To isolate d , we need to divide both sides by 82.

[tex]\dfrac{82d}{82}=\dfrac{3936}{82}[/tex]

[tex]d=48[/tex]

Therefore, the required number of days is 48.

Answer:

The translation is left 1 unit, up 5 units ⇒ A

Step-by-step explanation:

Let us revise the rules of translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  

If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  

If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h =   and k = f(h)

You will use the vertex form to find the translation

∵ g(x) = x² + 2x + 6

∴ a = 1 and b = 2

→ use the rule of h to find it

∴ h =  

∴ h = -1

→ Use it to find k

∵ g(h) = k

∴ k = g(-1)

→ Substitute x by -1 in g to find k

∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6

∴ k = 5

→ Substitute the values of h and k in the vertex form above

∴ g(x) = 1(x - -1)² + 5

∴ g(x) = (x + 1)² + 5

→ By using the 2nd and 3rd rules of translation above

∴ f(x) is translated 1 unit to the left and 5 units up

∴ The translation is left 1 unit, up 5 units

Answer:

it's A. left 1 unit

Step-by-step explanation:

there's a graphing tool on e d g  just copy and paste the equations in that and it'll give you the answer