Plot the following equation using the x- and y-intercepts. Include at least one additional point on the line. Prove that the x-intercept, y-intercept and additional point are all solutions to the equation.

2x - 3y = 6

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph, x- and y-intercepts, additional point and proof in your answer.

Answer:

no

Step-by-step explanation:

the sum of 4+7+9+12=32

32/4= 8

8 is not part of the sequence. Therefore its not arithmetic.

Answer:

29.05% of cookies sold were oatmeal cookies.

Step-by-step explanation:

Students sold chocolate chip cookies = 145

Students sold oatmeal cookies = 95

Students sold sugar cookies = 87

Total cookies sold = 145+ 95 + 87

Total cookies sold= 327

The formula used to find percentage is : [tex]Percentage = \frac{part}{whole}*100[/tex]

Now, finding percent of the cookies sold that were oatmeal

Percentage of oatmeal cookies sold = [tex]\frac{95}{327}*100[/tex]

Percentage of oatmeal cookies sold = 29.05 %

So, 29.05% of cookies sold were oatmeal cookies.

Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Answer:

It is not a function.

Step-by-step explanation:

This is not a function, because there is more than one y value when x = -1.  A function has one value for each x value.

Answer:

Universe of Fun

Journal Entries are used to record transactions:

January 1, 2021:

Debit Cash Account $692,353

Debit Bonds Discount $57,647

Credit Bonds Payable $750,000

To record the issue of 9% bonds, semiannual interest, that mature in 15 years.

June 30, 2021:

Debit Interest Expense $35,672

Credit Discount Amortization $1,922

Credit Cash Account $33,750

To record the interest expense and discount amortization.

December 31, 2021:

Debit Interest Expense $35,672

Credit Discount Amortization $1,922

Credit Cash Account $33,750

To record the interest expense and discount amortization.

Step-by-step explanation:

Bonds Payable = $750,000

Bonds issued at a discount = $692,353

Bonds discount = $57,647 ($750,000 - $692,353)

Interest rate = 9%

Interest expense, semiannually = $33,750 ($750,000 * 9%)/2

Maturity of bonds = 15 years

Bonds discount will be amortized over 15 at $3,843 per annum ($57,647/15) on straight-line basis

Bonds discount semiannually = $1,922

b) Bonds discount arise as Universe of Fun issues the $750,000 bonds for $692,353 (less by $57,647).  This means that the bondholders are paying less than the face value, but will be repaid the full face value at maturity.

Answer:

42

Step-by-step explanation:

answer is 42 bc I don't see the question you are asking.

And there is no question showing

Answer:

A population numbers 18,000 organisms initially and decreases by 3% each year

Step-by-step explanation:

Answer:

Step-by-step explanationfor changing °F to °Cuse the formula

°C=(F-32)5/9

=(88-32)5/9

=56×5/9

=280/9

=31.11

So the value of nearest tenth is 31°c

Answer:

A

Step-by-step explanation:

Answer:

P = 7

Step-by-step explanation:

46+8=54

54-5=49

49÷7=P

Answer: For Plato users

Step-by-step explanation:

X = -28 ,-9 ,-2 ,-1 ,0

f^-1(×) = -2 , -1 , 0, 1, 2

Just flip the x and y

Just took the test .

Inverse of a function is reverse mapping (if possible). The completed table would look like as shown below:

Suppose that the given function is [tex]f: X \rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function(a needed condition for inverses to exist), then, the inverse of the considered function is [tex]f^{-1}: Y \rightarrow X[/tex] such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex] (and vice versa).

It simply means,inverse of 'f'  is undo operator, that takes back the effect of 'f'

Inverse of inverse function is function itself.

For the given case, if the function (take x = -2) maps x = -2 to f(x) = -28, then the inverse of this function will take back -28 to -2.

This logic tells us that:

[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]

(x simply denotes input). For inverse function, those values which were outputs of [tex]f(x)[/tex]  are now going to serve as input to inverse of [tex]f(x)[/tex] which is [tex]f^{-1}(x)[/tex]

Thus, the completed table would look like:

[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]

Learn more about inverse functions here:

https://brainly.com/question/21527869

Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept

slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4  

y = 4x+b

3=4(1)+b

3=4+b

-1 =b

y=4x-1

f(x)=4x-1     slope = 4

g(x)=2x -7    slope = 2

b) y intercept for f(x) is -1

and g(x) is -7

so f(x) is having greater y intercept

Answer:

24

Step-by-step explanation:

9+(7x4)-13

9+28-13

37-13

24

Answer:

1,092.8 ft

Step-by-step explanation:

The information here gives us a right triangle.

Let "y" represent the length of the base. (Adjacent length)

Height of the tower = 984 ft (opposite length)

Angle of elevation = 48° (reference angle)

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(48) = \frac{y}{984} [/tex]

Multiply both sides by 984

[tex] tan(48) \times 984 = \frac{y}{984} \times 984 [/tex]

[tex] 1,092.8 ft = y [/tex] (nearest tenth)

Answer:

[tex]range=5.1[/tex]

Step-by-step explanation:

The range of a set is found by subtracting the lowest number from the greatest number.

The greatest number is 2.8 , and the lowest is -2.3. Subtract the values:

[tex]2.8-(-2.3)[/tex]

Two negatives make a positive, so:

[tex]2.8+2.3=5.1[/tex]

:Done

Answer: y=1x+9

Step-by-step explanation: Hope this helped!!

Answer:

the answer is the second choice

Step-by-step explanation:

2 steps right and 5 up in mathematics is written as:

x->x+2 and y->y+5

For instance, in the point L

(-5,-2) --> (-5+2,-2+5)=(-3,3)

which is L'=(-3,3)

and so on.

Answer:

number 2

Step-by-step explanation:

Answer:

ENGLISH PLZ

Step-by-step explanation:

I CANT UNDERSTAND spanish

Answer:

0.32989690721

Step-by-step explanation:

Answer:

rounded to the nearest hundred: 0.33

Step-by-step explanation:

hope this helps :3

um is the end a 3 and 2 or 32 or 3*2?

Answer:

the answer to your question is 48

Answer:

B is the answer. Just substitute 14 in for x.

Step-by-step explanation:

f = muffins

4 muffins perpack

36 sold

[tex]\frac{36}{4}[/tex] 36 divided by 4 = 9

9 what...

9 packs of muffins

i think thats how you do it but i no thats what the answer is

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min