Miss Rudolph recorded the change in temperature of a cooling liquid as -27.5 Fahrenheit over 2.5 minute. The temperature fell at a constant rate what was the rate of change in the temperature

y=3x+5

Parallel lines has equal slope .

Take the 2nd option

[tex]\\ \sf\longmapsto 6x+2y=12[/tex]

[tex]\\ \sf\longmapsto 3x+y=4[/tex]

[tex]\\ \sf\longmapsto y=-3x+4[/tex]

Take 3rd option

[tex]\\ \sf\longmapsto -3x+y=8[/tex]

[tex]\\ \sf\longmapsto y=3x+8[/tex]

Take the 1st option

[tex]\\ \sf\longmapsto 3y=9x[/tex]

[tex]\\ \sf\longmapsto y=3x[/tex]

Option C and A is correct

Answer:

C and A

Step-by-step explanation:

Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.

a. 3y = 9x

y = 3x

---

b. 6x + 2y = 12

2y = -6x + 12

y = -3x + 6

---

c. -3x + y = 8

y = 3x + 8

---

d. y = -1/3 x

Answer:

i. $3000

ii. $9000

Step-by-step explanation:

25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.

Answer:

Option A: 0

Step-by-step explanation:

Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:

Simply multiply the numerators (together), as well as the denominators.

In other words:

[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]

Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.

Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:

[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.

We must compare this quotient with the other options:

Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.

Option B) 0.5:  Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.

Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.

For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator:  [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.

Therefore, the closest value to  [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.

Answer: $48

Step-by-step explanation:

132 - 84 = 48

Step-by-step explanation:

To calculate each slope, just take any two points from each table, and plug them into this formula:⤵⤵⤵

(It'll be a bit small btw)

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

Table 1: I chose points (13,1) and (5,21)

21 - 1 = 20

5 - 13 = -8

Simplified = -5/2 ⬅ Slope

Table 2: I chose points (4,16) and (9,19)

19 - 16 = 3

9 - 4 = 5

3/5 ⬅ Slope

Table 3: I chose points (0,6) and (9,0)

0 - 6 = -6

9 - 0 = 9

Simplified = -2/3 ⬅ Slope

Table 4: I chose points (-8,1) and (-8,17)

17 - 1 = 16

-8 - (-8) = -8 + 8 = 0

Undefined slope (meaning the line will just be verticle)

Table 5: I chose points (2,3) and (3,5)

5 - 3 = 2

3 - 2 = 1

Simplified = 2 ⬅ Slope

Hope this helps :)

Answer:

70 minute

it was help full

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

Answer:

d.

took the test

Step-by-step explanation:

Answer:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Step-by-step explanation:

Here hypotenuse is c, opposite is a and adjacent is b.

c^2 = a^2 + b^2

16^2 = a^2 + 12^2

a^2 = 16^2 - 12^2

a^2 = 112

a = √112 or 10.58

As the question uses inches I think it would be better if you wrote 10.58 in.

Hopefully this helps!!

Answer:

0.134

Step-by-step explanation:

"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?

In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.

I hope that helped :)

Answer:

  b.  not similar

Step-by-step explanation:

Side SC of the smaller triangle is ...

  96 -57 = 39

So, the side lengths of the small triangle, shortest to longest, are ...

  39, 40, 44

Side ST of the larger triangle is ...

 44 +64 = 108

So, the side lengths of the large triangle, shortest to longest, are ...

  96, 96, 108

These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.

_____

Additional comment

The larger triangle is isosceles. The smaller triangle is not.

Answer:

Step-by-step explanation:

Consider the cube root parent function.

( graph in photo below )

Complete the statements to make them true.

A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.

For the parent cube root function, ( 3 ) ____________ located at .

Answer:

1. always

2. always

3. both intercepts are

the explination photos below

Answer:

I got you

[tex]f(x)=3x+2[/tex]

[tex]f(x)=4x^2+3x+7[/tex]

[tex]f(x)=|x+4|[/tex]

[tex]f(x)=\sqrt{x+12}[/tex]

[tex]f(x)=6x^3+4x^2-3x-5[/tex]

[tex]f(x)=\sqrt[3]{3x-5}[/tex]

[tex]f(x)=2^x[/tex]

[tex]f(x)=log_3(x)[/tex]

[tex]f(x)=\frac{x+5}{x-3}[/tex]

Each function is respective to the order of the list given.

Let me know if you want the graphs

Answer:

Step-by-step explanation:

x=4

Answer:

32

Step-by-step explanation:

y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...

Answer:

b even though you made this hard to read lol, its b

Step-by-step explanation:

Answer:

-5e/6-2/3=-24

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.

Answer: I think it’s D

Step-by-step explanation:

[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]

so : a = 3   b = -18

ok done. Thank to me :>

Answer:

1 gift

Step-by-step explanation:

Cost per gift + delivered cost

Selena       $6x + $18        

Demi           $8x + $16

$8x + $16 = $6x + $18

 $2x - $16 = $18

  $2x = $18 - $16

   $2x = $2

      x = 1

Answer: f(x) = (x −8)2

Step-by-step explanation:

Answer:

You're correct

Step-by-step explanation:

Basically, just add the answers with the given 67° until you get 180°

Answer:

150 units squared

Step-by-step explanation:

Answer:

1. 11 players per team

2. 60 miles per hour

3. 25 games per season

4. 60 words per minute

Step-by-step explanation:

1) 132 players divided by 12 teams = # of players per team

132/12 = 11 players per team

2) 240 miles divided by 4 hours = # of miles per hour

240/4 = 60 miles per hour

3) 125 games divided by 5 seasons = # of games per season

125/5 = 25 games per season

4) 180 words divided by 3 minutes = # of words per minute

180/3 = 60 words per minute

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

They are doing the calculations, we can say that the alternatives are:

A) True

B) False

C) False

D) False

E) True

For this exercise, the equation should be used:

[tex]A(t)=-1.4t+96[/tex]

So analyzing the first given statement we will have to:

[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]

Based on the calculations, this statement is true, for the second statement we will have:

[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]

Based on the calculations, this statement is true.

Learn more: brainly.com/question/516840

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Answer:

[tex]1 + 2 = [/tex]

answer