Answer:
Step-by-step explanation:
as x+6 is the quotient, you need to use -6
-6 | 4 -3 +5 6
x -24 +162 -1002
add
4 -27 167 -996
f(x)= 4x^2 -27x +167 - 996/(x+6)
Lets check
(x+6)(4x^2 -27x +167)= 4x^3 -27x^2 +167x + 24x^2 - 162x + 1002 =
= 4x^3 - 3x^2 +5x +1002
1002-996= 6
So we have the correct solution: 4x^2 -27x +167 - 996/(x+6)
Answer:
The answer is D
Step-by-step explanation:
What is the Negative reciprocal of -2/3?
Answer:
3/2
Step-by-step explanation:
"Negative" means take the opposite sign.
"reciprocal" means flip it over.
6. Solve the equation x2 = 80.
Answer:
x=4√5
Step-by-step explanation:
An equation is formed of two equal expressions. The value of x in the given equation is ±4√5.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for x as shown below,
x² = 80
x² = 2×2×2×2×5
x = √(2×2×2×2×5)
x = ± 4√5
Hence, the value of x in the given equation is ±4√5.
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I don’t have a question but both of the answers are wrong i just did it right now and i got it wrong but it said the answer is 6
Answer:
ok
Step-by-step explanation:
PLEASE HELP ASAP
A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
P(t) = 500,000e -0.099t
where P is the population in t years later. Approximately when will the population be one-half the initial amount?
Answer:
Step-by-step explanation:
Given the exponential function:
P(t) = 500,000 * e^(-0.099t)
P(t) = population t years later
When population will be one-half the initial amount
Half the initial amount = 500000/2 = 250,000
250000 = 500000 * e^(-0.099t)
250000/50000 = e^(-0.099t)
0.5 = e^(-0.099t)
Take the In of both sides
In(0.5) = - 0.099t
−0.693147 = - 0.099t
0.693147 / 0.099 = t
t =
(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.
Answer:
30%
Step-by-step explanation:
4320 - 288 = 4032
4032/12 =336 per copies
So, he sold them in 5760
5760 - 4032 = 1728
(1728/5760)*100 = 30%
Is the point (1, -3) a solution to the system? Show all work.
y<x-1 y>-x+2
Answer:
Well i don't have a notebook but i can tell you how to graph it
Step-by-step explanation:
First of all its dotted lines since ther arent less than/greater than or equal to
then the first equation is shaded down with a y intercept of -1 and a slop of 1
the second equation opens up has a slope of -1 and a y intercept of 2
To answer your question no it's not.
Need help ASAP please
Part 1:
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $9,500 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $7,500. If you invest this money in a savings account with a 3.3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years. Round your final answer to the nearest tenth.
Answer:
7.3 years.
Step-by-step explanation:
A = P(1 + i)^n
9500 = 7500(1 + 0.033)^n where n = number of years.
1.033^n = 9500/7500
n log 1.033 = log(9500/7500)
n = log(9500/7500)/log 1.033
n = 7.28 = 7.3.
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Answer:
7
Step-by-step explanation:
there is 2k pounds per ton, so it would just be 14/7
Answer:
7
Step-by-step explanation:
GIven;
A truck delivers 14,000 pounds of gravel.
To FInd;
How many tons are in 14,000 pounds?
Note;
Pound to Ton = Formula: Divide the mass value by 2
Solve;
Hence, 14/2 = 7
~Learn with Lenvy~
What is an equation of the line that passes through the points (5, -3) and
(-3, -3)?
Answer:
y= - 3
Step-by-step explanation:
note that the y- coordinates of both points are - 3
This indicates the line passing through them is a horizontal line, parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through ), that is
y = - 3
Please help (and explain why the answer is right) i'd appreciate that
Answer:
a is the answer................. :P
Step-by-step explanation:
slope = rise/run
rise=2
run=4
rise/run= .5
and it intercepts y-axis at -5
Can someone explain this question on how to solve it please
Answer:
110
Step-by-step explanation:
Angle P and angle N are angles on a straight line. The sum of angles on a straight line is always 180 degrees.
180-70=110
Find the slope of the line that passes through (8, 13) and (10, 10).
Answer:
-3/2
Step-by-step explanation:
use slope formula
y1-y2/x1-x2
Prove the following identity:
[tex] \frac{1 + \cos( \alpha ) }{ \sin( \alpha ) } + \frac{ \sin( \alpha ) }{1 + \cos( \alpha ) } = 2 \csc( \alpha ) [/tex]
Answer:
[tex]\dfrac{1+\cos(x)}{\sin(x)}+\dfrac{\sin(x)}{1+\cos(x)}[/tex]
[tex]=\dfrac{(1+\cos(x))(1+\cos(x))}{\sin(x)(1+\cos(x))}+\dfrac{\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{1+2 \cos(x)+\cos^2(x)+\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{1+2 \cos(x)+1}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2+2 \cos(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2(1+ \cos(x))}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2}{\sin(x)}[/tex]
[tex]=2 \csc(x)[/tex]
Step-by-step explanation:
please mark me as brainlest
How to make 20 using the number 3,5,6,3
Answer:
5+6 +(3*3)
Step-by-step explanation:
If you are allowed to mix the numbers then
5 + 6 + (3*3)
5+6 = 11
3*3 = 9
11+9 = 20
Hope this helps
which shape
could this
be folded
to form?
-
Answer:
A cylinder.
Step-by-step explanation:
A cylinder has two round tops , and one long body shape. When you roll the rectangle, it creates the body shape of the cylinder and the circles are the tops.
need help with 3 and 4
ห - 14W - 32
I’m factoring polynomials please help
Answer:
Step-by-step explanation:
Sum = -14
Product = - 32
So, the factors = -16 , 2
When we add -16 +2 = -12 and when we multiply it is -32
w⁴ - 14w² - 32 = w⁴ - 16w² + 2w² - 16 * 2
= w²(w² - 16) + 2(w² - 16)
= (w² - 16)(w² + 2)
= (w² - 4²)(w² + 2)
= (w + 4)(w - 4)(w² + 2)
Step-by-step explanation:
Replace w^2 with any other variable for eg: w^2=a
so that will make the equation:
a^2-14a-32
now factorize this equation and u can find the value of a
a^2-16a+2a-32
a(a-16)+2(a-16)
so factors= (a+2) (a-16)
since a was w^2 so replace them with w^2 and u got factors of the equation
you can also directly factorize the whole equation through middle term breaking
w^4-16w^2+2w^2-32
w^2(w^2-16)+2(w^2-16)
(w^2+2)(w^2-16)
you get the same answer
Please help me 6th grade math (brainly patrol pls dont delete this)
Answer:
4. 52. 5. 80% 6. 32% 7. 50 total players.
Step-by-step explanation:
4: 20% = .2 so you are going to multiply 65 by .2, and you get 13 then just subtract 13 from 65 and you get 52.
5: just do 4/5 and you get .8 which is 80%
6: just do 16/50 and you get .32 which is 32%
7: well if you notice that 35 is a multiple of 5 you can see that 35 is 70% of 50 and to prove that you can punch in 35/50 and you get .7 which is 70%
This figure represents a portable ramp that is being recovered on all sides.
How much material is needed to recover the ramp?
1288 m²
1416 m²
1443 m²
1680 m²
Right triangular prism. Each base is a right triangle such that the sides forming the right angle are labeled 7 m and 24 m, and the remaining side is labeled 25 m. The distance between the bases is 20 m.
The surface area of the right triangular prism shown is 1288 m²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
The prism has a triangular base with 24 m and height of 7m..
The surface area of the prism = 2(0.5 * 24 * 7) + (25 * 20) + (20 * 7) + (24 * 20) = 1288 m²
The surface area of the right triangular prism shown is 1288 m²
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The circumference of a circle is 8π cm. What is the DIAMETER of the circle?
Answer:
8cm
Step-by-step explanation:
The circumference of a circle= π×diameter(d)
= πd= 8π cm
d=8π/π =8cm
9th math will give brainly thanks!
Answer:
Step-by-step explanation:
1. Write an equation to find the number of toppings, x, when you would pay for the same amount for Pizza A and B.
So, we have to make a relationship between Pizza A and Pizza B, and this is talking about the pizza and toppings so,
$10 + $1.50x = $12.50 + $1.00x
Now we solve for the x values and the starting amount of money,
0.50x = 2.50
and that gives us,
$5
The answer also solves for the bottom one, the answer you need on the top one is,
$10 + $1.50x = $12.50 + $1.00x
need help i dont understand what i have to do plss help
Answer:
They are in sets of two! (First two are a pair) First two are copying a line segment. The next two are bisecting!
Step-by-step explanation:
Given in pictures.
A b c or d either one of those if it isn’t abc then it’s d just lmk
Answer:
A. 3680.32 inches³
Step-by-step explanation:
To find the volume of this shape, all we have to do is multiply the length width and height together:
v = l × w × h = 15.5 × 11.2 × 21.2 = 3680.32 inches³
Hope this helps!
Which system of equations is equivalent to this system? 5x+10=3(x+y) x+7=3x+7
Answer:
In equation form the answer is x=0y=10/3 but in point form the answer is (0,10/3)
Step-by-step explanation:
When Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly. When Derrick turns 18, his grandparents will give him the money to use toward his college education. How much does Derrick receive from his grandparents on his 18th birthday?
Answer:
Derrick receive $11268.25 from his grandparents on his 18th birthday
Step-by-step explanation:
We are given Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly.
When Derrick turns 18, his grandparents will give him the money to use toward his college education.
Principal = $ 10000
Time = 18-15 = 3 years
Rate of interest = [tex]4\% = 0.04[/tex]
No. of compounds per year = 4
[tex]Amount = P(1+\frac{r}{n})^{nt}\\Amount=10000(1+\frac{0.04}{4})^{4 \times 3}\\Amount =11268.25[/tex]
Hence Derrick receive $11268.25 from his grandparents on his 18th birthday
Which of the following is the equation for the line perpendicular to the line 3x -2y =10 that passes through the point (7,5)?
A. Y = 2/3x + 29/3
B. Y = -2/3x + 1/3
C. Y = 2/3x + 1/3
D. Y = -2/3x + 29/3
The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
3x - 2y = 10
The equation of the line that is perpendicular line is given as,
2x + 3y + d = 0
The equation is passing through (7, 5). Then we have
2(7) + 3(5) + d = 0
14 + 15 + d = 0
29 + d = 0
d = - 29
Then the equation of the line is given as,
2x + 3y - 29 = 0
2x + 3y = 29
3y = 29 - 2x
y = 29 / 3 - (2/3)x
The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.
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The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square
meters. Find the length and the width.
The answer is given is explanation
4x:3 = 6:5 calculate the value of x
Answer:
-2
Step-by-step explanation:
4x:3=6:5.
4x/3=6/5
4x × 5=6×3
20 X=18
X=18-20
X=-2
please help me!! Look at the picture! Please!!!!
Answer:
First let's find how much money the 4% is.
4/100 x 180 = $7.20
Now we add that sales tax to the cost of the telescope;
180 + 7.20 = $187.20, is what she'll pay in total.
What value makes the equation below true?
1/8−(−5+3/4)=x+1
A
−5 1/8
B
2 1/8
C
3 3/8
D
3 1/8
Answer:
C. 3 3/8
Steps:
1/8-(-5+3/4)= x + 1
1/8 - (-20+3/4) = x+ 1
1/8 - (-17/4)=x+1
1/8 +17/4= x + 1
1+17x2 /8= x+1
1+34 /8= x+1
35/8 = x + 1
x= 35/8 -1
x= 35-8 /8
x=27/8
x=3 3/8