Which pair of functions have the same domain?

Answer:

m [ slope ] = 8/3

Step-by-step explanation:

What is the slope of the line that passes through the points (5, 1) and (2, -7)?

m = ∆y / ∆x

m = y₂ – y₁ / x₂ – x₁

| (5, 1) → (x₁, y₁) | (2, -7) → (x₂, y₂) |

[each coordinate will correspond (directly go to) to the variables shown]

m = (-7) – (1) / (2) – (5)

m = -8 / -3

m = 8 / 3

This means that this line has a rise of 8 and a run of 3.

Up 8 and right 3 proportionally, it would touch the opposite corners of a plane that was 8 by 3 units.

Slope can be thought of as the steepness of a line, the greater the slope, the greater the steepness.

These points are generally known as cartesian coordinates.

____________

Once you have the slope, you can back track from one of the coordinates to find the equation of the line.

Just multiply the slope by the x of either coordinate, make it opposite, and then add that to the y of that coordinate to get b [the y-intercept; where it crosses the y axis, x is always 0]

Since (2, -7) is closer to the y axis than (5, 1) it is more convenient.

In (2, -7), 2 is the x variable and -7 is the y variable.

-mx + y = (-8/3)(2) + (-7) = -16/3 + (-21/3)

21/3 is the same as 7 [so it will have a common denominator].

-16 + -21 / 3 = -37/3 = b

Thus this line has an equation of

y = mx + b

↓ ↓

y = 8/3x – 37/3.

__________________________

Or you can refer to point slope which is what is taught:

y – y₁ = m(x – x₁).

You can tell that there are some similarities to this and the slope formula.

m = ( y₂ – y₁ / x₂ – x₁ ) →

m × ( x₂ – x₁ ) =

( y₂ – y₁ / x₂ – x₁ ) × ( x₂ – x₁ )

[multiply the denominator by both sides]

m ( x₂ – x₁ ) = y₂ – y₁

[x₂, and y₂ can just be x and y since you only need the initial coordinate and slope, because the second coordinate can be anything along that line]

m ( x – x₁ ) = y – y₁ →

y – y₁ = m(x – x₁)

[symmetric property of equality]

if a = b, b = a.

Answer:

The distributive property.

Step-by-step explanation:

The distributive property is when you distribute a number to different numbers in a parentheses. For example...

2*x would be 2x, and 2*4 would be 8.

Answer:

x=3/4 as fraction form.

x=0.75 as decimal form.

Step-by-step explanation:

Step 1.

2x2-12x+8=3

2x2=4

Step 2.

4-12x+8=3

4+8=12

12-12x=3

Step 3.

12-12x=3

(Subtract 12 from both sides.)

-12x=3-12

-12x=-9

Step 4.

-12x=-9 will equal:

0.75 or 3/4

But rounded up will equal 1 whole.

I hope this helps.       :)

Answer:

The total bill was $98.

Step-by-step explanation:

Matt and 6 of his friends = 7 people

Each person paid $14

$14 x 7 = $98 in total

Answer:

Step-by-step explanation:

don't understand sorry

Answer:

Possible

plz give brailiest

Answer:

m<N = 10°

Step-by-step explanation:

If the vertex of the inscribied angle is in the circumference, its measure if half the measure of the arc:

[tex]m < n = \frac{mlm}{2} [/tex]

NL is the diameter of the circle, so arc NML is 180° (half the circle). We know the measure of arc NM:

[tex]mnm +mlm \: = mnml \\ 160 + mlm = 180 \\ mlm = 180 - 160 \\ mlm = 20[/tex]

So, angle N is:

[tex]m < n = 10[/tex]

Answer:

The measures of the three exterior angles would be 95, 160 and 105.

Answer:

9 hours for job A, 17 hours for job B     please brainliest :>

Step-by-step explanation:

A+B = 26

7A+10B = 233

A = 9

B = 17

Heyyyy!

Here's your answer!

She worked 14 hours at Job A and worked 12 hours at Job B

Step-by-step explanation:

14 × 6.40 = 89.60 and 12 × 7 = 84

84 + 89.60 = 173.60

Hoped I helped!

Answer:

The answer is 64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

12 + (8 x (4 + 3) + 2) - 6

= 12 + ( 8 x 7 + 2 ) - 6

= 12 + ( 56 + 2 ) - 6

= 12 + 58 - 6

= 70 - 6

= 64

Step-by-step explanation:

3(days) × 24(hours) = 72(hours)

9/72 ×100 = 12.5 %

Answer:

Lol I’m doing the same thing

Step-by-step explanation:

Answer:

if f(x)=x+4

f(2)=2+4=6 is your answer

Answer: Yes its B sorry if im wrong

Step-by-step explanation:

have a nice day

Answer:

The rules of base pairing (or nucleotide pairing) are:

A with T: the purine adenine (A) always pairs with the pyrimidine thymine (T)

C with G: the pyrimidine cytosine (C) always pairs with the purine guanine (G)

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a function as there is only one unique value of y for any unique value of x. It passes the ‘vertical line test’.

So insert ‘F’ as this is a function.

Answer:

F

Step-by-step explanation:

this is a function because it is just a reflection over the x-axis

the function is f(x) = -(x - 1)^2 + 3

Answer:7

Step-by-step explanation: 25 x 7 =  175 now 3 x 7 = 21 175 + 21 =196 r 4 :)

Answer:

121 mocha cupcakes

Step-by-step explanation:

[tex] \frac{45}{100} \times 220 = 99 \\ 99of \: the \: cupcakes \: were \: chocolate \\ mocha \: cupcakes = 220 - 99 \\ = 121[/tex]

Answer:

Yes

Step-by-step explanation:

5:2 is equal to 10:8

Answer:

yes

Step-by-step explanation:The ratio of mrs.mobley is 5:2

and your ratio would still be 5:2

Answer:

[tex]26[/tex]

Step-by-step explanation:

1) first, Simplify 12 × 2 to 24.

[tex]2 + 24[/tex]

2) then, Simplify 2 + 24 to 26.

[tex]26[/tex]

Therefor, the answer is 26.

Answer:

26

Step-by-step explanation:

2 + 12 = 14

14 x 2 = 26

Answer = 26

Answer:

20 cm²

Step-by-step explanation:

see picture. count the number of squares.

Answer:

Jordan will have $15687.50 after 3 years.

Step-by-step explanation:

First, we have to find the amount of interest Jordan has by using the following formula,

simple interest = $12,500 * 8.5% * 3

since the interest rate is obviously a percentage, we convert it into a decimal.

simple interest = $12,500 * 8.5% * 3

simple interest = $12,500 * 0.085 * 3

now that the numbers are the way it's supposed to be, we multiply them all together.

simple interest = $12,500 * 0.085 * 3

simple interest = $1062.50 * 3 (here, we multiply the first two numbers before multiplying it by 3 so we will have two numbers remaining which is easier to deal with without all three numbers together)

simple interest = $3187.50

Jordan has $3185.50 simple interest.

however, this is not the final answer since it asks how much he has AFTER 3 years. think about it.. would you really have $3187.50 AFTER  3 years with investing $12,500 into your account? no, since the values have such big difference to each other. we have to add the amount of interest by the principal by using the following formula,

total amount = principal + simple interest

now, we substitute the numbers in.

total amount = principal + simple interest

total amount = $12,500 + $3185.70

total amount = $15.687.50

Therefore, Jordan will have $15,687.50 after 3 years.

Answer:

Option C. Side a 1.5 inches long, side b is 2 inches long and side c is 2.5 inches long

Step-by-step explanation:

The scale factor=4:1=4/1

Scale factor=(Scale drawing)/object

4/1=6/a

4a=6

a=6/4

A=1.5 inches

4/1=8/b

4b=8

b=8/4

B= 2 inches

4/1=10/c

4c=10

c=10/4

C=2.5 inches

Therefore, side a is 1.5 inches long and side b is 2 inchea long and side c is 2.5 inches long

Answer:

C

Step-by-step explanation:

with the scale factor being 4:1 (meaning shape A is bigger then shape B by 4 times) we can divide the larger shapes dimensions by 4 to get ur answer