Answer:
y = [tex]\frac{3}{2}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
Learn more about dividend on:
https://brainly.com/question/3161471
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
What is the surface area of the rectangular prism?
2 m
10 m
5 m
Answer:
10m
Step-by-step explanation:
Simply using quadratic formula! Brainliest will be awarded if correct
Answer:
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
Step-by-step explanation:
5y + 12 = [tex]\frac{-8}{y}[/tex]
y*(5y+12)=-8
5[tex]y^{2}[/tex] + 12y = -8
5[tex]y^{2}[/tex] + 12y + 8 = 0
Δ(Delta) = [tex]b^{2}[/tex] - 4ac
= [tex]12^{2}[/tex] - 4*5*8
= -16
Δ<0
therefore we have complex number
y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
what situation can be represented by this equation 15 + x = 63.75
315 the answer
15 + x = 63.75
Answer:
63.75 minus 15 equal to 48.75
Can someone answer this for me 9- 6x -8
Answer:
Combine like terms
Step-by-step explanation:
-6x + 1
please help me with math
Hi there! :)
5-2b when b=-1; 3.
5-2(-1)
5+2
7
5-2(3)
5-6
-1
3(x+8)
3x+24
Hope it helps!
~Answer given by
An Unknown Dreamer
Good luck.
Solve.
x2=−0.73
What is the solution to the equation?
Enter your answer as a decimal in the box.
x =
x = -0.365 (If its x(2)=-0.73)
How I solved it:
x^2=-0.73
-0.73÷2=-0.365
//
-0.365×2=-0.73
Therefore, the answer is -0.365.
Answer:
x = -1.46 (if its x/2=-0.73)
x/2=-0.73
-0.73x2=-1.46
therefore,
-1.46/2=-0.73
///
making the answer
-1.46
Given the function f(x) = x2 - x + 7, find each of the following.
f(6)=
f(- 9)=
f(0)
Answer:
37, 79, 7
Step-by-step explanation:
f(6) = 6² -6 +7
36-6+7 is 37
f(-9) = -9² -9+7
81-9+7 is 79
f(0) = 0² -0+7
0-0+7 is 7
Can someone plss help me with this!!!
Answer:
10/1 or 10
Step-by-step ex planation:
The rate of change is just a fancy word for slope!
To find the slope of this line I found two points of the graph that were easy to determine. Slope = rise/run
which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning from my mistakes:)
need help with this dividing whole numbers thing
Answer:
72 : n = 18. n x 18 = 72
n : 18 = 72. 72 x 18 = n
72 : 18 = n
Step-by-step explanation:
Help me pls imma fail
Answer:
-
Step-by-step explanation:
Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.
Answer:
24.2% decrease
Step-by-step explanation:
The distance Javi must ride changed by ...
1.25 -1.65 = -0.40 . . . miles
The ratio of that to the original distance is ...
-0.40/1.65 × 100% ≈ -24.2%
The distance decreased by 24.2%.
Use long division to find the quotient below. (8x^3-10x^2-19x-15)/(2x-5)
Answer:
4x2 + 5x + 3
Step-by-step explanation:
Write the following equation in standard form:`X^{2}+6X=-2`
Answer:
[tex]x^2 +6x +2=0[/tex]
Step-by-step explanation:
Rhian sat at a maths test and an English test
In the Maths test she scored 14 out of 17
In the English test she scored 31 out of 39
In which test did she do better
Answer: She did better in the Math test
Step-by-step explanation:
find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%
Now do the same thing for the other:
31/39 = 0.79 x 100 = 79%
In the end she got better in the math test!
Hope that helps :)
my Christmas present to you
Answer:
super man
Step-by-step explanation:
PLEASE HELP ME OUT I WILL GIVE BRAINLIEST
Metallic blocks X, Y, and Z were placed in the graduates A,B,C the initial volume of liquid in the equal sized graduates was 40 ML. Which block was placed in which graduate?
Answer:
Answers are B-Y, C-Z, A-X
aaaaaaaaaaaaaaaaaaaa
Answer:
what grade are you??..........
Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i
Answer:
See image
Step-by-step explanation:
These are "complex numbers" because they have the imaginary number, i, in the expression.
The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply
(x+2)(x+5)
= x^2 + 7x + 10
This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)
**SUPER IMPORTANT NOTE: i^2 is equal to -1
These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.
What is mL BCD ?
THANK U <3
m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°
Ok done. Thank to me :>
Determine which have two variables that represent a proportional relationship. Explain your reasoning
Answer:
Step-by-step explanation:
Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx. the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not
working together two mathletes solve 32 math problems in a certain amount of time how many problems will 3 mathletes solve if they together at the same rate for the same amount of time
If they together at the same rate for the same amount of time, they will solve 48 math problems,
From the question, we can see that two mathletes solve 32 math problems in a certain amount of time, this can be written as:
2 mathletes = 32 math problemsIn order to determine the number of problems for 3 mathletes, this is expressed as:
3 mathletes = xDIvide both expressions:
2/3 = 32/xCross multiply
2x = 3* 32
x = 3 * 16
x = 48math problems
Hence if they together at the same rate for the same amount of time, they will solve 48 math problems,
Learn more on proportion here: https://brainly.com/question/1496357
The area of a regular pentagon is 600 cm². Calculate the length of one side of the pentagon.
Answer:
18.675cm
just search it
What does a fraction represent
Find the common diffrence
2)23,21,19.17
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15
What function equation is represented by the graph?
Answer:
f(x) = (2/3)x-2
Step-by-step explanation:
Pick any two points and calculate the slope. I chose: (-3,-4) and (3,0). The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6: 2/3
The y-intercept of the graph is -2 ( the value of y when x=0).
Given y = mx + b
we have
y = (2/3)x - 2
Option 3
Which of the following sequences of transformations maps \triangle DEF onto \triangle ABC?
Answer:
D because then triangles DEF and ABC would mapped onto one another.
Step-by-step explanation:
d) Neither
Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
minute. Find the total cost of a phone call which lasts 27 minutes.
O A. $27.18
OB. $15.7
O C. $8.37
OD. $8.94
Answer:
it's d
Step-by-step explanation:
multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.
0.31×27+(0.57)= 8.94
Plz help rn got to get this done rn
Answer:
A) 32
Step-by-step explanation:
Hope this helps! Pls give brainliest!