Polynomials are expressions. The solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].
What is a polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The division of the polynomial (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,
[tex]\dfrac{4x^3-3x^2+5x+6}{x+6}[/tex]
[tex]=4x^2+\dfrac{-27x^2+5x+6}{x+6}[/tex]
[tex]=4x^2-27x+\dfrac{167x+6}{x+6}[/tex]
[tex]=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
Hence, the solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].
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Answer:
Step-by-step explanation:
OPT D ON EDG 2023
find the midpoint between the two points (-11,-14) and (-40,22)
Answer:
Mid = ( -51 / 2 ), 4
Step-by-step explanation:
Mid = ( x1 + x2, y1 + y2 )
/ /
2 2
Mid = ( -11 + (-40)), (-14 + 22 )
/ /
2 2
Mid = ( -51 ), ( 8 )
/ /
2 2
Mid = ( -51 / 2 ), ( 4 )
I hope this helps!
Which graph represents the equation y= -1/2x -3 ?
The graph that represents the equation y = -1/2x -3 is B
What is a graph?A graph is a series of points, discrete or continuous, forming a curve or a straight line, each of which represents a value of a given function.
Graphs could be positive, or negative.
When the increase in y results to an increase, in x then the graph is said to be positive graph while and increase in y leads to a decrease in x is called negative graph.
From the equation, y = -x/2 -3
If x = 0, then the y-intercept is -3 which is below the x -axis.
Also, if x = 2, y will be -4, if x = 4, y = -5
These shows that as x increases y- decrease, making it a negative graph which slopes from left to right passing through the y-axis at x = -3 which is graph B
In conclusion the graph that represents the given equation is B
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A rectangular park has a perimeter of 374 feet and a length of 65 feet. What is the width of the park?
Answer:
122
Step-by-step explanation:
Use the formula P=2(l+W)
the length would be 65ft and the perimeter would be 374
iPad: $499 Sale: 30% off What is the new cost of the iPad?
Answer:
$349.3
Step-by-step explanation:
Discount = Original Price*Discount %/100
Discount = 499*30/100
Discount = 499*0.3
You save = $149.70
Final Price = Original Price - Discount
Final Price = 499 - 149.7
Final Price = $349.30
A startled armadillo jumps straight into the air with an initial vertical velocity of 14ft / s . After how many seconds does it land on the ground? Use the equation - 16t ^ 2 + Vt + h . Round your answer to the nearest hundredth. The armadillo lands back on the ground after seconds.
Using the given equation, it is found that it lands on the ground after 0.875 seconds.
What is the equation for the projectile's height?It is given by:
[tex]h(t) = -16t^2 + vt + h[/tex]
In which:
v is the initial velocity.h is the initial height.In this problem, considering that the projectile jumps straight into the air with an initial vertical velocity of 14 ft/s, the parameters are v = 14 and h = 0, hence:
[tex]h(t) = -16t^2 + 14t[/tex]
It lands on the ground when h(t) = 0, hence:
[tex]-16t^2 + 14t = 0[/tex]
[tex]t(-16t + 14) = 0[/tex]
Then:
[tex]16t = 14[/tex]
[tex]t = \frac{14}{16}[/tex]
[tex]t = 0.875[/tex]
It lands on the ground after 0.875 seconds.
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What is the value of f
Type the correct answer in the box. Use numerals instead of words. Erika and Rita have added a 1-mile walk to their daily exercise schedule. The table lists the time each of them took to walk the 1-mile distance over the past five days. Erika’s Time (in minutes) Rita’s Time (in minutes) 20 21. 25 21. 5 24. 75 22. 75 23 23. 25 23 20. 25 20. 75 On average, it takes Erika about minute(s) per mile less than Rita.
Answer:
The answer is 1.2
Step-by-step explanation:
It takes Rita 22.75 on average, and it take Erika 21.55 to walk the mile on average.
21.55 + 1.2 = 22.75
therefore, it takes Erika 1.2 minutes per mile less than Rita.
On average, Erika is much slower than Rita by 1 minute.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Since, There are two sets of data: Erika's and Rita's.
Now, we have to find the average values for each of both and compare them.
We would assume that the order of the presentation of data points is alternating,
first for Erika followed by Rita.
Hence, To illustrate what I mean, let's say
in Day 1, Erika's time is 20 and Rita's time is 21.25.
In Day 2, Erika's time is 21.5 and Rita's is 24.75.
And so on and so forth.
So, We get;
Erika's average is,
= (20+21.5+22.75+23.25+20.25)/5
= 21.55
Rita's average is,
= (21.25+24.75+23+23+20.75)/5
= 22.55
Hence, On average, Erika is much slower than Rita by 1 minute.
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please help me, include an explanation if possible!
Answer:
(10, 18)
Step-by-step explanation:
y=2x-1
*x value*
AC=2AB
2c=2(2)(5)
2c=4(5)
2c=20
c=10
*y value*
AC=2AB
3c=2(3)(9)
3c=6(9)
3c=54
c=18
A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profit is modeled by the function J(t) = 2.5t + 1,250, where t is the number of months after the first month the shop opened.
Create a function, P(t), that describes the total profit earned for the entire year.
P (t) =
First month's profit of the company = $2,400.
After the first month, the profit is modeled by the function
J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.
Now, P(t) describes the total profit earned by the company.
So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)
= 2400 + (2.5t + 1250)
= 2.5t + 3650
Hence, total profit earned for the year = 2.5t + 3650.
HELPPP FOR BRUANLEST!!!
Answer:
2/15
Step-by-step explanation:
slow heart rate and blue eyes (2) over total (15)
2/15 doesn't simplify
Answer:
13/100 is my final answer
Step-by-step explanation:
First, in order to get blue eyes, you need to be part of 40% thats not much but not little either. Then in order to get A fast heart rate out of that, you need to be part of the 26% out of 40% and that leaves you with 13 to 14 %.
I say 13 to 14 because both the 13 and 26 % came from a decimal that went on forever but due to rounding it can be 27 gets fast heart rate with 13 percent gets slow heart rate and blue eyes or 14 gets it and 26 gets faster
Hope this helped.
A brainliest is always appreciated.
Select the correct answer.
In the figure, a pair of parallel lines is cut by a transversal. What kind of angle are angles A and C?
A.
corresponding angles
B.
alternate interior angles
C.
vertical angles
D.
supplementary angles
I will give you 40 point plus Brainliest!!!
You have opened a jar of 250 toothpicks, and want to see how many pyramid levels you can make.
solve the equation
-3(2x - 1)= 4x - 7
Answer:
X = 1
Step-by-step explanation:
Subtract 3 from both sides:
-6x+3-3=4x-7-3
Simplify the equation above:
-6x=4x-10
Subtract 4x from both sides:
-6x-4x=4x-10-4x
Simplify the equation above:
-10x=-10
Divide both sides by 10:
-10x/10=-10/10
help me, please !!!!!
Answer:
Step-by-step explanation:
In an n-sided polygon, two angles are right angles and each of the remaining angles is 150°. Find the value of n.
Answer: 8
Step-by-step explanation:
What is the slope of the line that passes through the points (-8,-6) and (-8, 4)?
Write your answer in simplest form.
Answer:
Slope is undefined
Step-by-step explanation:
To find the slope, subtract the y's and put that on top of a fraction. Then subtract the x's and put that on the bottom of the fraction.
This works all the time for any two points.
Here, though, we find the top
4 - -6
= 4 + 6
= 10
10 would go on top.
But then, on the bottom we get
-8 - -8
= 0
We get zero. As you know, you CANNOT have zero on the bottom of a fraction.
For the slope calculation we get 10/0
The slope is undefined.
Also, if you graph these two points, it's a verticsl line. Vertical lines (up and down) have an undefined slope.
Solve the equation for y.
8x – 9y = 11
A. y = −9/8x − 9/11
B. y = −8x − 11
C. y = 8/9x − 11/9
D. y = 9/8x + 11/8
Step-by-step explanation:
8x - 9y = 11
8x = 9y + 11
8x - 11 = 9y
y = 8x/9 - 11/9
so, C is correct
What is the measure of angle J in the triangle below? options
a)99⁰
b)42⁰
c)9⁰
d)48⁰
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium.
Answer:
could you take a screen shot and link the graph pls?
Step-by-step explanation:
PLEASE EXPLAIN HOW TO DO THIS
Answer:
B) 243 km^3
Step-by-step explanation:
The formula for volume is Length x width x height, so we must find those values. By looking at the shape, the length is 9 km, width is 9 km, and height is 3 km, and after substituting these values in the equation, we get 9 km x 9 km x 3 km. When multiplied, it equals to 243 km^3, so the answer for the volume of the solid is B) 243 km^3.
Hope this helped somewhat! :P
Rewrite the following equation in slope-intercept form.
3x − 11y = 19
Answer:
y = 3/11(x) - 19/11
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
[tex]3x-11y-3x=19-3x[/tex] [tex]-11y=-3x+19[/tex]Step 2: Divide both sides by -11.
[tex]-11y/-11=(-3x+19)/-11[/tex] [tex]y=\frac{3}{11}x-\frac{19}{11}[/tex]Therefore, the answer is y = 3/11(x) - 19/11.
Two sides of an isosceles triangle measures 20 in and 10 in. What is a possible value of the third side
For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of significance the t value is _____. a. –1.372 b. 1.383 c. –2.821 d. –1.383
Answer:
b 1.383
Step-by-step explanation:
it is a positive number
Please help! Problem is below!
Answer:
1
Step-by-step explanation:
remember that [tex]|a| = a[/tex]if a is positive or zero, and [tex]|a| = -a[/tex]if a is negative.
[tex]4-| |14|-11| = 4-|14-11| = 4-|3| = 4-3 = 1[/tex]
OMG PLEASE, I NEED HELP! I am not understanding this topic or what to do. If you know the answer than comment down below :)
in column 1 is the number outside the bracket and the addition or subtraction of the number inside the bracket
first in column 2 you will multiply the number that is outside the bracket
in column 3 that is when I give the number outside the bracket multiply by the number inside the bracket
in column 4 this is when you have finished multiplying the numbers you minus or add them to give ur final answer
column 5 is your final answer :-)
2x-4=x+1 giải phương trình
what's an easy way to turn a fraction into a percent?
Answer:
Step-by-step explanation:
divide the numerator by the denominator (of the fraction). take that answer and multiply it by 100 and that is ur percent
hope that makes sense
~Shoto Todoroki here~
Answer:
1. Use division to convert the fraction to a decimal.2.Multiply by 100 to get percent value.Step-by-step explanation:
hope this helps :D
Please help me. Picture below
Answer:
1. Median is 79 (in)
(78+80/2 => gives halfway point)
2. 7 (in)
(IQR is UQ - LQ => that is 82 - 75)
3. LQ is 75 (in)
4. Maximum height is 84 (in)
(the largest value or the tallest you could be)
I've included units - pretend they don't exist.
Hope this helps!
find the value of x trigonometry
Step-by-step explanation:
sin30° = x/14
1/2 = x/14
1/2 × 14 = x
x = 7
cos30° = y/14
squareroot3/2 = y/14
0.866 = y/14
y = 0.866 × 14
y = 12.124
I really need help with this question
Answer:
36
Step-by-step explanation:
[tex]2(2x - 5) = 2 x+ {2}^{3} \\ 4x - 10 = 2 x + {2}^{3} \\ 4x = 2x + 8 + 10 \\ 4x = 2x + 18 \\ 4x - 2x = 18 \\ 2x = 18 \\ x = \frac{18}{2} \\ x = 9 \\ \\ 4x = 4 \times 9 = 36[/tex]