This line graph shows how the temperature changed during one week.
What was the difference between the highest temperature and the lowest temperature during the week?

Answer: [tex]-x^2-3x+46/x^2+4x-32[/tex]

Step-by-step explanation:

Answer:

  [tex]\dfrac{-x^2-3x+46}{x^2+4x-32}[/tex]

Step-by-step explanation:

You want the simplified form of the rational expression difference ...

  [tex]\dfrac{6}{x^2+4x-32}-\dfrac{x-5}{x-4}[/tex]

Both terms can be expressed using the same denominator, then summed.

  [tex]\dfrac{6}{x^2+4x-32}-\dfrac{x-5}{x-4}=\dfrac{6}{(x-4)(x+8)}-\dfrac{(x-5)(x+8)}{(x-4)(x+8)}\\\\\\=\dfrac{6-(x-5)(x+8)}{(x-4)(x+8)}=\dfrac{6-(x^2+3x-40)}{(x-4)(x+8)}=\boxed{\dfrac{-x^2-3x+46}{x^2+4x-32}}[/tex]

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Additional comment

The process is fundamentally identical to finding the difference of numerical fractions. The least common denominator is found by considering factors of the denominators, just as it would be if they were pure numbers.

<95141404393>

Answer:

Its the third one

Step-by-step explanation:

A perfect square is a number that is generated by multiplying two equal integers by each other. For example, the number 9 is a perfect square because it can be expressed as a product of two equal integers: 9 = 3 x 3.

Answer:

7,000 ÷ 10 = 700

Step-by-step explanation:

i hope this helps you. good luck and have a great day :)

Answer:

$397.85

Step-by-step explanation:

First you need to find Zoey's hourly rate.

Divide 87.20 by 4 and you get 21.8.

Now you just need to time $21.8 by and hours she does.

21.8 x 18.25 = 397.85

53 + 47 = 100

53 + 47 = 100

53 + 47 = 100

53 + 47 = 100

53 + 47 = 100

53 + 47 = 100

Answer:

  1/(x -2)

Step-by-step explanation:

You want the simplified form of the rational expression ...

  [tex]\dfrac{1}{x-4}-\dfrac{2}{x^2-6x+8}[/tex]

We simplify this by combining terms over a common denominator, then cancelling any common factors from numerator and denominator.

  [tex]\dfrac{1}{x-4}-\dfrac{2}{x^2-6x+8} = \dfrac{(x-2)}{(x-4)(x-2)}-\dfrac{2}{(x-4)(x-2)}\\\\\\=\dfrac{(x-2)-2}{(x-4)(x-2)}=\dfrac{x-4}{(x-4)(x-2)}=\boxed{\dfrac{1}{x-2}}[/tex]

Note that the domain still excludes x=4, in addition to the obvious exclusion of x=2.

<95141404393>

Answer:

a

Step-by-step explanation:

12.5 times 3.7 then divide by half

Answer:

The answer is 128

Answer: 128

Step-by-step explanation:

just multiply or use exponents.

Answer:

Table 1: 2

Table 2: 10

Step-by-step explanation:

Constant of proportionality - the ratio between two proportional quantities.

We see that the ratio between the two rows of numbers in the first table is 2 because (4 / 2 = 2), (6 / 3 = 2), (8 / 4 = 2) and so on and so forth.

We see that the ratio between the two rows of numbers in the second table is 10 because (20 / 2 = 10), (30 / 3 = 10), (40 / 4 = 10) and so on and so forth.

Answer:

Table 1 is 2, Table 2 is 10.

Step-by-step explanation:

Table 1: The constant of proportionality is 2 because 4/2 is 2, 6/3 is 2, etc.

Table 2: The constant of proportionality is 10 because 20/2 is 10, 30/3 is 10, etc.

Answer:

-0.40909090909

Step-by-step explanation:

it is not not terminating or repeating so, it is not a rational number.

Answer:

680 Miles

Step-by-step explanation:

You divide 14 into 476 so you can get the answer for one gallon of gas is however many miles. In this case 1g=34ml. Then you multiply 34 and 20 and you get 680 miles.

Answer:

I can't quite read it.

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

15% of 8

15x8/100

Answer:

The answer is D

Step-by-step explanation:

- x - equals positive so it would be -8+4r

Answer:

D

Step-by-step explanation:

Honestly I can't giv a detailed explanation, apologies. Negatives multiplied result in positives. Since -4 is negative and -r is also negative, expanded form should be +4r. Also the answer is r=6 in case you need it.

Answer:

[tex]\frac{4x-6}{4x+7}[/tex]

Step-by-step explanation:

since both have the same denominator

[tex]\frac{2x-3+2x-3}{4x+7}[/tex]

=[tex]\frac{4x-6}{4x+7}[/tex]

The best statement of the angle-angle similarity theorem is (a) When the preimage of a triangle is a dilation of the image, the triangles are similar.

The angle-angle similarity theorem is used in similar triangles; especially when a triangle is dilated (i.e. resized) to form another triangle

When triangles are dilated, the corresponding angles in both triangles (i.e. the image and the pre-image) are always equal

Hence, the best statement of the angle-angle similarity theorem is (a)

Read more about angle-angle similarity theorem at:

https://brainly.com/question/21247688

#SPJ1

Answer: -7.45

Step-by-step explanation -7 5/11 is -82/11 as an improper fraction, which is -7.45 in decimal form.

Answer:

12x

Step-by-step explanation:

[MA]:

-5 (3 x + 1)

The explanation:

Simplify:

(5 x - 20) + (10 - 15)

Grouping like terms, 5 x - 20 x - 15 + 10 = (5 x - 20 x) + (10 - 15):

(5 x - 20 x) + (10 - 15)

5 x - 20 x = -15 x:

- 15 x + (10 - 15)

10 - 15  = -5:

-5 - 15 x

Factor: -5 out of -15 x - 5:

Answer: -5 (3 x + 1)

[Artsy}

Answer:

d = 6

Step-by-step explanation:

d × 54 = 324

Divide both sides by 54.

d × 54/54 = 324/54

d = 6

Answer:

D=6

Step-by-step explanation:

54 x 6=324

Here is how i know.

I times the tens 6 times so 50 x 6=300

50 x 1=50

50 x 2=100

50 x 3=150

50 x 4=200

50 x 5=250

50 x 6=300

Then I did ones(4)

4 x 1=4

4 x 2=8

4 x 3=12

4 x 4=16

4 x 5=20

4 x 6=24.

Then I added it 50 x 6=300 + 4 x6=24=324 so 54 x 6=324.

Hope it helps have a great day:)

Answer:

1/24

Step-by-step explanation:

chance of rolling 4 - 1/6

Chance of pulling a heart - 13/52, or 1/4

To find P(roll a 4, and pull a heart) you must multiply the 2 answers to find your final answer. So, 1/4 x 1/6 = 1/24

Hope this helps, if this is wrong, i am sorry, i recently started this unit.

Have a great day :)