Synthetic Division
(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)
Answer:
[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]
[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]
[tex]\frac{1}{2}[/tex] | 6 -57 19 -14
+ | 3 -27 -4
Q = [6 -54 -8] |-18 =R
[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]
Hence,
As the divisor is rational,
The quotient would be multiplied by the zero(1/2).
[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]
[tex]Remainder =-9[/tex]
Find the slope!! Pls help
Answer:
1/3
Step-by-step explanation:
The slope goes up one over three. if u need a whole equation then it would be y=1/3x
if you need a slope intercept equation then it would be y=1/3x-4.
Answer: -5,3
Step-by-step explanation: the bottom boxes on the left are negative so i counted until the dot was and thats how i got my negative five. For the three I did the same thing just the right side inst negative so that is how i got 3.
. One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.
Answer:
c=5b-25
Step-by-step explanation:
Which storm is likely to cause quick destruction along a narrow path?
hurricane
thunderstorm
tornado
Answer:
tornado bc they are narrow and can cause great destruction :) hope I helped !
A tornado is the storm that is likely to cause quick destruction along a narrow path.
What is storm?A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.
Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.
They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.
While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.
Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.
Hence, tornado is the storm that is likely to cause quick destruction along a narrow path.
To learn more on Storms click:
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Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
7x+3 = 8x +1
x=2
the answer is 2
The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the larger polygon.
Answer:
42sq
Step-by-step explanation:
5:7
30 sq: x sq
30/5=6 sq for 1 of the ratio
6*7=42 sq for 7 of the ratio
DO NOT GIVE ME THE ANSWER! Please just tell me how I can find the answer!
Answer:
9x$1.92
Step-by-step explanation:
Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars
Answer:
The amount charged for a hamburger is $11
Step-by-step explanation:
The function relating the amount d charged with the number of hamburgers is;
d = 3h + 8
The amount charged for a hamburger can be calculated by substituting the value 1 for h
Thus, we have;
d = 3(1) + 8 = $11
Simplify the expression using the distributive property.
–4(–3x + 11)
1. Distribute the –4 through the parentheses: -4(–3x) + (-4)(11)
2. Find each product: _____x -44
Answer:
Find each product: 12x × -44
I hope this helps!
Answer:
0) 12x-44
1) 12x-44
2) 12
Step-by-step explanation:
Hope it help, please give me brainlest! :)
y + 2x = −1
3y − x = 4
Answer:
Step-by-step explanation:
Let's solve for x.
y+2x=−1
Step 1: Add -y to both sides.
2x+y+−y=−1+−y
2x=−y−1
Step 2: Divide both sides by 2.
2x
2
=
−y−1
2
x=
−1
2
y+
−1
2
Answer:
x=
−1
2
y+
−1
2
Answer:
Answers below
Step-by-step explanation:
Q1. 2x=−1−y
=
2
−1−y
Q2. −x=4−3y
x=−4+3y
x=3y−4
Round each decimal to the nearest tenth
4. 13.392
5. 27.149
6.8.84858
Help!!
Answer:
13.4
27.1
8.8
Step-by-step explanation:
hope that helps
A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.
Which describes the motion of the box based on the resulting free-body diagram?
A. It is moving up with a net force of 20 N.
B. It is moving to the right with a net force of 10 N.
C. It is in dynamic equilibrium with a net force of 0 N.
D. It is in static equilibrium with a net force of 0 N.
Answer:
It is in static equilibrium
Explanation:
edge 2021
The box is in static equilibrium, with a net force of 0 N.
Option D is the correct answer.
What is static equilibrium?Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.
In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.
We have,
The box is at rest and is not moving.
This means that the net force acting on the box is zero.
From the free-body diagram,
We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.
Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.
So,
The box is in static equilibrium, with a net force of 0 N.
Thus,
The box is in static equilibrium, with a net force of 0 N.
Learn more about static equilibrium here:
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5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>
Given:
AB is the diameter of a circle whose center is the point (4,-3).
Coordinates of A are (-1,5).
To find:
The measure of AB.
Solution:
Let point O(4,-3) be the center of the circle.
Then, OA is the radius of the circle.
We know that, diameter of a circle is twice of its radius.
So, [tex]AB=2(OA)[/tex] ...(i)
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between O and A is
[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]
[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]
[tex]OA=\sqrt{25+(8)^2}[/tex]
[tex]OA=\sqrt{25+64}[/tex]
[tex]OA=\sqrt{89}[/tex]
Now, using (i), we get
[tex]AB=2(OA)[/tex]
[tex]AB=2(\sqrt{89})[/tex]
[tex]AB=2\sqrt{89}[/tex]
Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
The perimeter of the patio is 32 metres. The garden itself is a square shape.
What is the total area of the garden and the patio?
Answer:
64
Explanation:
If the garden is a square shape then all sides are equal.
One and all sides are 8 meters.
8 times 8 is 64
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answer:-17
Step-by-step explanation:
45-28=17
pleaseeee helpppp :(((((
Answer: With what??? I don't see nun
Answer:
I do not see any files or papers attached.
Step-by-step explanation:
What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)
Answer:
x= 19/7
Step-by-step explanation:
Reflections of the coordinate plane homework 3
Answer:
can we have more info please?
Step-by-step explanation:
A teacher weighed 145 lbs in 1986 and weighs 190 lbs in 2007. What is the rate of change in weight? HELP
Answer:
c
Step-by-step explanation:
she gained 45 pounds which is 15/7 of 145
I need some help please
Answer:
a
Step-by-step explanation:
-5,-13
I hope this helps
What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?
y - 2 = 0
y - x - 2 = 0
x - 2 = 0
9514 1404 393
Answer:
y - 2 = 0
Step-by-step explanation:
The given coordinates both have y=2, so the desired line is ...
y = 2
In general form, that would be ...
y - 2 = 0
A student is learning about positive and negative numbers with manipulatives. Each black cube represents + 1 , and each white cube represents − 1 . If there are currently 15 black cubes on the student's desk, how many white cubes must the student add to the desk for the combined value of the cubes to represent 0 ?
Answer:
15 white cubes
Step-by-step explanation:
Given
[tex]White\ Cubes = -1[/tex]
[tex]Black\ Cubes = +1[/tex]
[tex]Number\ of\ Black\ Cubes = 15[/tex]
Required
Determine the number of white cubes needed to represent 0
To solve this question, we make use of the following equation.
[tex]Black\ Cubes +White\ Cubes = 0[/tex]
If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15
Substitute +1 * 15 for the Black Cubes
[tex]+1 * 15 +White\ Cubes =0[/tex]
[tex]+15 +White\ Cubes =0[/tex]
Collect Like Terms
[tex]White\ Cubes = 0 - 15[/tex]
[tex]White\ Cubes = - 15[/tex]
Recall that 1 white cube is worth -1
So, the number of white cubes is:
[tex]Number = \frac{-15}{-1}[/tex]
[tex]Number = 15[/tex]
Hence, the student needs 15 white cubes
write 9/20 as a decimal
Answer:
0.45
Step-by-step explanation:
Divide 9 by 20.
There are 3 cubes in a bag. Two are red and one is green. Sammy randomly selected a cube, put it back and selected another cube. What is the probability of getting to reds?
Answer: 2/3
Step-by-step explanation:
Number of red cubes = 2
Number of green cubes = 1
Total cubes in the bag = 3
The question relates to a probability with replacement. The probability of getting two reds will be the probability of picking red the first time multiplied by the probability of picking red the second time. This will be:
= 2/3 × 2/3
= 2/3
Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Replace the values of hand kto create the equation of the transformed function.
Answer: h = 4 and k = 1
Step-by-step explanation:
Just took the test aye
A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed for all the visitors?
Answer:
12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12
Which statement is true about the lengths of the sides?
Each side has a different length,
Two sides have the same length, which is less than
the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the
length of the third side.
Answer:
The three sides have the same length.
Step-by-step explanation:
Answer:
B. Two sides have the same length, which is less than the length of the third side.
Step-by-step explanation:
I think, :-P
The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats? I need help ASAP ...
Answer:
5 = 25
3 = 15
Step-by-step explanation:
25/5 = 5
So, 5 x 5 = 25
3 x c =
Then, 3 x 5 = 15
5 = 25
3 = 15