The points (2.1, -4.2) and (2.5, -5) form
a proportional relationship. What is the slope of
the line that passes through these two points?

Answer:

X int = 13/5    Y int= -13

Step-by-step explanation:

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]

[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]

f(x) = g(x)

[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]

4x - 21 = 2

x = (21 + 2)/4

x = 5.75

Answer:

3 ounces more

Step-by-step explanation:

50*3 =1.50

3.00+1.50= 4.50

Answer:

B. 3:24, D. 5:40 E.7:56

Step-by-step explanation:

3:24 = 1:8 (Dividing by 3)

5:40 = 1:8 (Dividing by 5)

7:56 = 1:8 (Dividing by 7)

The ratios that are equivalent to 1:8 are:

3:24, 5:40, and 7:56.

Options B, D, and E are the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A)

16:2

= 16/2

= 8/1

= 8:1

B)

3:24

= 3/24

= 1/8

= 1:8

C)

4:12

= 4/12

= 1/3

= 1:3

D)

5:40

= 5/40

= 1/8

= 1:8

E)

7:56

= 7/56

= 1/8

= 1:8

Thus,

3:24, 5:40, and 7:56 are equivalent to 1:8.

Learn more about ratios here:

https://brainly.com/question/2462048

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Answer:

2.5

Step-by-step explanation:

4 x _ = 10

_ = 10/4

_ = 2.5

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

Bottom right

Step-by-step explanation:

Each domain value can only have 1 range value.

Answer:

C

Step-by-step explanation:

Uhm I tried my best im so sorry if it's wrong

it is B yep he was right have a nice day

Answer:

-1

Step-by-step explanation:

If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining

Answer:

-1

Step-by-step explanation:

I hope this helps!

Answer:

$490

Step-by-step explanation:

$560 divided by 40 is $14 an hour and 14 times 35 is 490, so $490.

Answer:

£490

Step-by-step explanation:

So you do 560 divided by 40, which is 14 then you × 35 by 40 =£490.

Answer:

980 km.

Step-by-step explanation:

The speed of the car is constant,

From the double number line:

When the time is 0 hour, the distance covered is 0 km.

When the time is 1 hour, the distance covered is 70 km.

When the time is 2 hours, the distance covered is 140 km,

which can be written as

when the time is 2 hours, the distance covered is 70 x 2 km.

Similarly,

When the time is 3 hours, the distance covered is 210= 70 x 3 km.

This can be generalized as,

When the time is n hours, the distance covered is  70 x n km, i.e

The distance traveled in n hours = 70 x n km.

So, for 14 hours, n= 14,

Hence, the distance traveled in 14 hours = 70 x 14= 980 km.

Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

Answer and Step-by-step explanation:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Answer:

-20

Step-by-step explanation:

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

Answer:

Step-by-step explanation:

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

Answer: x>- -40

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The number of modes in the dataset is 1. The dataset is unimodal. The correct option is therefore;

1 mode

A unimodal data is a set of data that has only one mode. The mode is a measure of central tendency.

The data in the question can be presented as follows;

Kate, Tim, John, John, Angelam, Tim, Sue

The frequency of each of the data is therefore;

Kate; 1, Tim; 1, John; 2, Angela; 1, Tim; 1, Sue; 1

The mode of a dataset, is the value that has the highest frequency, or that appears the most in the dataset.

The data that has the highest frequency is John, the mode of the dataset is therefore, John, which has a frequency of 1

Learn more on the measures of central tendency, mode median, and mean, of a dataset here: https://brainly.com/question/24994390

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Answer:

84

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28

Answer:

18.41

Step-by-step explanation:

[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]

Second answer

Step-by-step explanation:

Answer:4

Step-by-step explanation:

it shows it on the table

Answer:x =24

Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24

Answer:

x = -24

Step-by-step explanation:

(-4/3)x -6 =26

Add 6 to both sides:

(-4/3)x = 32

(-4/3) = -1.33333333

divide both sides by -1.33333333

x = -24

Substitute:

(-4/3)(-24) -6 =26

32 - 6 = 26

26 = 26

x = -24

Answer:

0.0049

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: It is E (3, -7)

Answer:

The answer is They are parallel

Step-by-step explanation:

They have the same slope but different y-intercepts

y = 1/3x - 2

y = 1/3x - 30

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Answer: Parallel

Step-by-step explanation: They never cross therefore making the two equatons parallel lines