Answer:
[tex]y = \frac{x}{4} [/tex]
Step-by-step explanation:
we find the slope which also represented as m by the formula
[tex] m = \frac{(y2 - y1)}{(x2 - x1)} [/tex]
where from point (-4, -2) the x1 is -4 and the y1 is -2 and also from point (6, 3) the x2 is 6 and the y2 is 3.
so we substitute
[tex] \frac{(3 - ( - 2))}{(6 - ( - 4))} = \frac{(3 + 2)}{(6 + 4)} = \frac{5}{10} = \frac{1}{2} [/tex]
[tex]m = \frac{1}{2} [/tex]
after we have the slope, we calculate the equation of the line by using the formula
[tex](y - y1) = m(x - x1)[/tex]
but for now, we only have y1, m and x1 so can substitute
[tex](y - ( - 2)) = \frac{1}{2} (x - ( - 4))[/tex]
we have to get rid of the fraction 1/2 so we multiply it through by the denominator 2
[tex]2(y + 2) = 2 \times \frac{1}{2}(x + 4) [/tex]
we get
[tex]2(y + 2) = 1 \times (x + 4)[/tex]
so now we expand the brackets
[tex]2y + 4 = x + 4[/tex]
we make y stand alone by grouping liked terms.
[tex]2y = x + 4 - 4[/tex]
we get
[tex]y = \frac{x}{4} [/tex]
the sum of twice a number and 17 is -19. Find the number
Answer:
-36 is the sum of the numbers all you have to do is try to find the answer to get to -36
Out of 260 racers who started the marathon, 232 completed the race, 25 gave up, and 3 were disqualified. What percentage did not complete the marathon?
Answer:
9
Step-by-step explanation:
You're looking for the percentage that "did not complete the marathon" So take the 25 that gave up and the 3 that were disqualified and add those. Then divide 260 by your sum of those groups. Your expresssion should be 260/28 which gives you the decimal 9.28571429. Your answer would be 9 because this question doesn't ask for a decimal answer.
2. Which of the following is NOT a rational number? a. 9 b. 4 c. V d. 3
The area of a rectangular piece of paper is 1/2 square foot
Answer:
(D)
Step-by-step explanation:
The area of a rectangle is the product of length and width. We can solve this formula to find the width:
A = LW
W = A÷L . . . . . . divide both sides of the equation by L
__
For the given area and length, this looks like ...
[tex]W=\boxed{\dfrac{1}{2}\div\dfrac{2}{3}}[/tex]
3s ≤ 19; s = -6
^^^ how do i solve this? I need major help please
Answer:
3s=19s=-6
We move all terms to the left:
3s-(19s)=0
We add all the numbers together, and all the variables
-16s=0
s=0/-16
s=0
What is the end behavior of h(x)=-5x^4+13x/x^3
Answer:
Both ends point down
Step-by-step explanation:
SInce this function is even, and the leading coefficient is negative, both ends will point in the negative direction.
Which inequality represents “six times a number is less than negative thirty-nine and three-quarters”?
6x > –39Three-fourths
6 + x > -39 Three-fourths
6x < -39Three-fourths
6 x less-than-or-equal-to negative 39 and three-fourths
Answer:
6x<-39+¾
Step-by-step explanation:
let the number be represented by x.
Answer: The third option is correct.
Step-by-step explanation: 6x means "six times a number", which the unknown number is x. The less-than sign shows the "less than" part of the equation, and -39 3/4 represents the "negative thirty-nine and three-quarters". Hope this helps, also i got it right on edge.
WORTH 50 POINTS WILL MARK BRAINLYEST HELP ME PLEASE
Answer:
[tex] c^{-1}d^7 [/tex]
Step-by-step explanation:
You are multiplying factors with the same base, so add the exponents of the same base.
c^0d^7 × c^-1d^0 = c^0c^-1 × d^7d^0 = c^(0-1)d(7+0) = c^-1d^7
Answer: (dc)⁶
Step-by-step explanation:
Apply exponent rule: a⁰=1
This means c⁰=1 and d⁰=1 leaving the equation d⁷·c⁻¹
This then becomes d⁷/c though since they don't want a denominator we will have to change it.
Apply quotient rule of exponents: aᵇ÷aⁿ=aᵇ⁻ⁿ
This leaves us with (dc)⁶
What is the total value of the digit 4 in the number 34,712?
Answer:
4,000
Step-by-step explanation:
The individual places of the number are listed below:
Ten Thousands - 30,000
Thousands - 4000
Hundreds - 700
Tens - 10
Ones - 2
From this, we can see that the total value of 4 is 4000.
hope this helps! have a good day.
3.6 is 90% of what number
Answer:
4
Step-by-step explanation:
Answer:
90% of 4 = 3.6 I believe that this is the answer
(3a) to the third power's most simplified form.
Answer:
[tex]9a^3[/tex]
Step-by-step explanation:
Step 1: Determine the simplified form
[tex](3a)^{3}[/tex]
[tex](3^{3}a^{3})[/tex]
[tex]9a^3[/tex]
Answer: [tex]9a^3[/tex]
no one helped me, i need this urgently :(((
trinomials method can i have some help?
Answer:
a: 3/2, -2 b: 1/5, -1/2 c: 3/2, -4
Step-by-step explanation:
a: 2x^2+x=6
Subtract 6 from both sides.
2x^2+x−6=6−6
2x^2+x−6=0
Factor left side of equation.
(2x−3)(x+2)=0
Set factors equal to 0.
2x−3=0 or x+2=0
b: 10a^2+3a=1
Subtract 1 from both sides.
10a^2+3a−1=1−1
10a^2+3a−1=0
Factor left side of equation.
(5a−1)(2a+1)=0
Set factors equal to 0.
5a−1=0 or 2a+1=0
c: 2c^2+5c=12
Subtract 12 from both sides.
2c^2+5c−12=12−12
2c^2+5c−12=0
Factor left side of equation.
(2c−3)(c+4)=0
Set factors equal to 0.
2c−3=0 or c+4=0
#1
2x²+x-62x²+4x-3x-62x(x+2)-3(x+2)(2x-3)(x+2)#2
10a²+3a-110a²+5a-2a-15a(2a+1)-1(2a+1)(5a-1)(2a+1)#3
2c²+5c-122c²+8c-3c-122c(c+4)-3(c+4)(2c-3)(c+4)Which expression is equivalent to x^2+7x+12 over x^2-x-12
Answer:
Step-by-step explanation:
Factorize the expression.
Sum = 7
Product = 12
Factors = 4 , 3
4 + 3= 7 & 4*3 = 12
x² + 7x + 12 = x² + 4x + 3x + 4*3
= x(x + 4) + 3(x + 4)
= (x + 4)(x + 3)
Sum = -1
Product = -12
Factors = (-4) , 3
(-4) + 3 = (-1) & (-4)*3 = -12
x² - x - 12 = x² - 4x + 3x - 4*3
= x(x - 4) +3(x - 4)
= (x -4)(x +3)
[tex]\sf \dfrac{x^{2}+7x+12}{x^{2}-x-12}=\dfrac{(x+4)(x + 3)}{(x -4 )(x + 3)}\\\\\bf \text{(x +3) in the numerator and denominator will get cancelled}[/tex]
[tex]=\dfrac{x+4}{x-4}[/tex]
Answer:
B
Step-by-step explanation:
I’ll give brainliest
Answer:
After 25 minutes
Step-by-step explanation:
The answer is C
Answer:
Step-by-step explanation:
Louise: Water = 4.6 + 1.2*t gallons of water
Isaac: Water = 54.6 - 0.8 * t t is in minutes.
When will the two amounts of water be equal
When the two waters are the same.
4.6 + 1.2*t = 54.6 - 0.8t Add 0.8t to both sides
4.6 + 1.2*t + 0.8*t = 54.6 Combine the left
4.6 + 2t = 54.6 Subtract 4.6 from both sides.
4.6-4.6 + 2t = 54.6 - 4.6 Combine
2t = 50 Divide by 2
t = 50/2
t = 25
Answer: both aquariums will have the same amount of water in 25 min
Answer: C
210 kilometers = ? miles
Answer:
130.488
Step-by-step explanation:
if the extra numbers aren't there don't worry they just don't count them its 130.
HOPE THIS HELPED!!!!!
PLEASE LEAVE A LIKE AND 5 STARS'':)
cjdc mel cokc kcermvkr,oplc,.
Answer:
can u add a picture cause i dont understand what ur saying at all
Step-by-step explanation:
-2/3x+2y=-7
pls answer fast
Answer:
[tex]x = \frac{2}{21} [/tex]
Step-by-step explanation:
That's the correct answer
Step-by-step explanation:
What did u want
Rewriting in standard form:
[tex]2x - 6y = - 21[/tex]
X - intercept:
[tex]x = - \frac{21}{2} [/tex]
y intercept:
[tex]y = \frac{7}{2} [/tex]
y = 1/3x + 7/2
so the slope is 1/3
Find the Value of X. or other X finders. (worth 10 points)
Answer:
First, if we look at these angles, we can see that they are vertical.
Vertical angles are congruent(meaning they measure the same degrees).
So let's set up an equation where -2x - 6 is equal to 40°, because they are vertical angles.
-2x - 6 = 40°
Solve for x!
Get rid of constants by performing the inverse operation of subtraction which is addition(because 6 is negative).
Make sure to apply this to both sides!!
(Add 6 to both sides)
+6 +6
-2x = 46
Now, we isolate x by getting of x's co-efficient.
To do that, we also perform the inverse operations.
The inverse operation of multiplication is division (since -2 is being multiplied by x).
(Divide -2 from both sides)
÷ -2 ÷ -2
x = -23
Therefore, x measures -23°.
Answer:
x = -23
Step-by-step explanation:
Vertical Angle Theorem
A pair of opposite angles formed by intersecting lines.
Vertical angles are congruent.
⇒ -2x - 6 = 40
Add 6 to both sides:
⇒ -2x = 46
Divide both sides by -2
⇒ x = -23
It costs $5 per person plus $16 for food at
a football game. The total was $61. How many
people went to the game?
Answer:
I think 9
Step-by-step explanation:
5+5+5+5+5+6+21+5+5 = 61
??????????????????????????
base = 4 units
height = 2 units
(1/2).base.height = (1/2).4.2 = 4
area = 4 sq. units
hope it helps...!!!
The radius of a circle is 7 inches. What is the circle's circumference?
Use 3.14 for
Answer:
43.96
Step-by-step explanation:
2 x 7 x 3.14 = 43.96
Answer:
44 rounded to nearest whole.
[tex]C = 2\pi r = 2 * \pi * r(7) = 44~in[/tex]
a printer can print 10 pages every 3 minutes how many pages can it print in 1 minute
Answer:
3
Step-by-step explanation:
10 = 3
? 1 cross product
10/3=3.33
Help pls I am confused
Answer:
A. 25 books
Step-by-step explanation:
James has 100 comic books and sells 1/4 of his collection. This means that the amount of comic books that he sold is 1/4 of 100 since 100 is the total amount of comic books that he has. To calculate that, we divide 100 by 4 to get 25. Therefore, James sells 25 books.
Brainliest if correct
hope this helps...
Write an equation of the circle with center (-5,2) and diameter 6.
Answer:
[tex](x+5)^2+(y-2)^2=36[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius, thus:
[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36[/tex]
This means that our equation for the given circle is [tex](x+5)^2+(y-2)^2=36[/tex]
A bookstore has 36 copies of the latest bestseller and they fit exactly on 3 shelves. The bookstore ordered another 120 copies. How many shelves do they need to fit all their copies of the book?
Answer:
13
Step-by-step explanation:
First, to find out how many book fit on one shelf, you will need to divide the total number of books by the toal number of shelves:
36 books / 3 shelves = 12 books/shelf
Because the question says that the bookstore order another 120 copies, this is means that the 120 books is in addition to the original 36 books.
Because we already know that the 36 books require 3 shelves, we still need to find how many shelves 120 books needs. So, we can divide books by number of how many books can fit on a shelf:
120 books / 12 books per shelf = 10 shelves
So to find the total number of shelves needed, add the number of shelves together:
3 + 10 = 13 shelves
Please help on math.
Answer:
13.9 inches
Step-by-step explanation:
To find the height on this question i multiplied 12.8 by 4 and got 51.2 then divided 711.68 by 51.2 and got 13.9.
Evaluate the algebraic expression t + s - r when r = 13, s = 10, t = 7 and u = 15.
A. 2
B. 4
C. 16
D. 30
Answer:
4
Step-by-step explanation:
t + s - r
where,
r=13
s=10
t=7
u=15
substituting
7+10-13 =17-13 =4
Hey there!
t + s - r
= 7 + 10 - 13
= 17 - 13
= 4
Therefore, your answer might be:
Option B. 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
write 3 in polar form
Answer:
(3,0)
Step-by-step explanation:
I hope this helps. I think this is right.
Balloons By Sunset (BBS) is considering the purchase of two new hot air balloons so that it can expand its desert sunset tours. Various information about the proposed investment follows: (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided.)
Initial investment (for two hot air balloons) $ 399,000
Useful life 9 years
Salvage value $ 48,000
Annual net income generated 30,324
BBS’s cost of capital 8 %
Assume straight line depreciation method is used.
Required:
Help BBS evaluate this project by calculating each of the following:
1. Accounting rate of return. (Round your answer to 2 decimal places.)
2. Payback period. (Round your answer to 2 decimal places.)
3. Net present value (NPV). (Do not round intermediate calculations. Negative amount should be indicated by a minus sign. Round the final answer to nearest whole dollar.)
4. Recalculate the NPV assuming BBS's cost of capital is 11 percent. (Do not round intermediate calculations. Negative amount should be indicated by a minus sign. Round the final answer to nearest whole dollar.)
I'm mostly confused on NPV
The accounting rate of return is 7.6%, the payback period is 5.755 years, the Net present value is $58,072, and the net present value(11%) is $3611.
What is NPV?The Net Present Value (NPV) is a corporate finance technique for analyzing the viability of an investment or a firm. It's the disparity between the anticipated cash flows and the initial investment. Let's look more closely at NPV.
We can calculate the accounting rate of return as follows:
Accounting rate of return = (Annual net Income/ Average Investment)×100
=(30,324/399,000)×100
= 7.6%
For Payback period:
Payback = Initial investment/ Annul cash flow
Annual cash flow = Annual net income + Depreciation
Deprecition = cost - salvage value/useful life
= (399,000-48,000)/9
= $39,000
Annual cash flow = 30,324 + 39,000 = 69324
Payback= 399,000/69324
= 5.755 years
For NPV:
NPV = Total present value of investment - initial investment
= 69324×PVIFA(8%, 9 years)+48,000×PV(8%, 9 years) - 399,000
= 69324×6.2469+24,011.95 - 399,000
= $58,072
For Net value recalculate if the cost of capital is 11%
NPV = Total present value of investment - initial investment
= 69324×PVIFA(11%, 9 years)+48,000×PV(11%, 9 years) - 399,000
= 69324×5.5370+18,764.39 - 399,000
= 3610.988
= $3611
Thus, the accounting rate of return is 7.6%, the payback period is 5.755 years, the Net present value is $58,072, and the net present value(11%) is $3611.
Learn more about the NPV here:
https://brainly.com/question/14476381
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