The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation (-8x³ + 4x + 1) / (2x + 1), hence:
(-8x³ + 4x + 1) / (2x + 1) = -4x² + 2x + 1
The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1
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The acceleration due to gravity is g= 9.8 m/s. One student argues that acceleration is a variable, since it is represented by a letter. Another student claims it’s a constant, since it doesn’t change. Who is right?
Answer:
Acceleration due to gravity is a constant
Step-by-step explanation:
gravity is a force pulling an object to the center of the earth this force also never changes
Acceleration due to gravity is a constant for the earth at every place.
What is acceleration?Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.
Gravity is a force that pulls an object toward the center of the earth, and this force never changes, hence acceleration due to gravity is a constant for the earth in all places.
Therefore, acceleration due to gravity is a constant for the earth at every place.
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If h(x) = 2x + 1, find h(x+2).
Answer:
h(x + 2) = 2x + 5
Step-by-step explanation:
So if you add 2 to x, you have to change the x value.
Since h(x) = 2x + 1, h(x + 2) = 2(x + 2) + 1
h(x + 2) = 2x + 5
1. It cost Nike $55 to make the "Kyrie 5", but it is selling for $130.19. Calculate the markup/percent Increase for the shoe.
2. The state tax is 8%. Calculate how much you will pay in taxes on the Kyrie 5.
3. You just found a coupon for 35% off! What is the new price of the shoe before taxes?
4. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe?
Answer:
1)The markup/percent Increase for the shoe is 136.709%
2)Amount of tax on the Kyrie 5 is $4.4
3)The new price of the shoe before taxes is $35.75
Step-by-step explanation:
1) Cost price of Kyrie 5 = $55
Selling price = $130.19.
Difference = 130.19-55=75.19
So, Percentage increase =[tex]\frac{Change}{CP} \times 100[/tex]
Percentage increase =[tex]\frac{75.19}{55} \times 100 =136.709\%[/tex]
2)The state tax is 8%
So, Amount of tax on the Kyrie 5. = [tex]8\% \times 55[/tex]
=[tex]\frac{8}{100} \times 55[/tex]
= 4.4
So, You will pay $4.4 in taxes on the Kyrie 5.
3)You just found a coupon for 35% off!
New price of the shoe before taxes =[tex]55-35\%(55)[/tex]
=35.75
So,the new price of the shoe before taxes is $35.75
use diagram to answer 3(x+6)=30
Answer:
Step-by-step explanation:
3x + 18 = 30
3x + 18 -18 = 30 - 18
3x = 12
x = 4
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 513
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 513
Set 4: {5, 28, 28, 28,513
Which data set has the largest standard deviation?
For these given four sets of data, Set: 4 has the largest standard deviation.
What is standard deviation for a data set?"Standard deviation is a measure of the amount of variation or dispersion of a set of values.
A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."
Set: 1 {10, 19, 38, 50, 513}
Number of terms = 5
Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126
Standard deviation
= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]
= [√(13456 + 1149 + 7744 + 5776 + 149769)/5]
= 188.62
Set: 2 {5, 21, 26, 39, 51}
Number of terms = 5
Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8
Standard deviation
= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]
= [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]
= 195.27
Set: 3 {9, 38, 50, 50, 513}
Number of terms = 5
Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130
Standard deviation
= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]
= [√(14641 + 8464 + 6400 + 6400 + 146689)/5]
= 191.1
Set: 4 {5, 28, 28, 28,513}
Number of terms = 5
Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4
Standard deviation
= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]
= [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]
= 196.5
Therefore, Set: 4 has the largest standard deviation.
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What is the difference between 28.935 and 13.011 , to the nearest integer?
Answer:
15.924
Step-by-step explanation:
The difference between these two integers is 15.924.
Given that,
The one integer is 28.935.
And, the other integer is 13.011.
We need to find out the difference between these two integers.
So,
The difference is
= 28.395 - 13.011
= 15.924
Therefore we can conclude that the difference between these two integers is 15.924.
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The local farmer wants to know how many gallons of water his new watering through holds solve
Answer:
35
Step-by-step explanation:
7x5= 35
i think pls correct me if im wrong
Answer:
see below
Step-by-step explanation:
We need to find the volume of the cylinder
V = pi r^2 h
V = pi * 7^2 * 5
V = pi (245)
V = 245pi ft^3
Using 3.14 as an approximation for pi
V =769.3 ft^3
If we use the pi button
V = 769.6902001 ft^3
Answer this question please and Thank you!!
Answer:
20 %
Step-by-step explanation:
We need to find what percent is 16 of 80.
1). 16 / 80 = 0.2 = 20 %
Answer:
Y x 80 = 16. If we undo the multiplication and make 16/80=Y
16/80=0.2
Convert to percentage
0.2=20%
20% is your answer
Step-by-step explanation:
If f(x) = 4 - 2x^2 and g(x) = 2√x what is the value of f(g(x))? (The thing after the number 2 for g(x) is square root of x) A) 4-16x B) 4-8x C) 4-4x D) 4-2x E) 4-x
Answer:
B) 4-8x
Step-by-step explanation:
[tex]f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2} \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B[/tex]
Prove : Cos^4A+sin^4A=1/4(3+cos4A)
Answer:
1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A
so
sin^4 A + cos^4 A
= 1 - 1/2 sin^2 2A
= 1 - 1/4 (1- cos 4A)
= 1/4 (3+cos 4A)
Step-by-step explanation:
hope I helped
If x = y, then xz = yz represents the __________ property of equality. answers : multiplication addition division subtraction
Answer:
I believe the answer is multiplication property of equality.
I hope I helped, please correct me if I'm wrong!
If x = 49, what is the value of x(x - 6)?
Answer:
2107
Step-by-step explanation:
Answer:
2107
Step-by-step explanation:
x(x-6)
49(49-6)
49(43)
49×43 = 2107
What is the inverse of the function f(x)= 6x-5/x+9
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
examine the number patter below 3,5,7,9,11,13,15,17
Answer: Add 2. Step-by-step explanation:If you look closely, you can see that the numbers are increasing by 2 each time.
Fred placed 3 strands of bacteria in a petri dish. The bacteria strands double every hour. Write a formula to represent how many bacteria strands are present at the nth hour. Then, use the formula to determine how many strands of bacteria are present at 4 hours.
Which is correct:
A. f(n) = 3(2)n; 59 strands of bacteria
B. f(n) = 2(3)n; 82 strands of bacteria
C. f(n) = 3(2)n; 48 strands of bacteria
D. f(n) = 2(3)n; 162 strands of bacteria
Answer:
C.[tex]f(n) = 3(2)^n[/tex] ; 48 strands of bacteria
Step-by-step explanation:
Fred placed 3 strands of bacteria in a petri dish.
The bacteria strands double every hour.
Formula : y = ab^x
Where a is the initial value
b = growth rate
x = hours
So, A formula to represent how many bacteria strands are present at the nth hour : [tex]f(n)=3(2)^n[/tex]
Now we are supposed to find how many strands of bacteria are present at 4 hours.
Substitute the value in the formula :
[tex]f(4)=3(2)^{4}[/tex]
f(4)=48
Hence 48 strands of bacteria are present at 4 hours.
Answer:
f(n) = 3(2)n; 48 strands of bacteria
Step-by-step explanation:
The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.
Answer:
a) - Compressing the P(new) function by a scale of 0.5 about the y axis.
- Moving the P(new) function down by 104 units.
b) The two simplified functions for P(original)
-0.08x² + 10.8x – 200.
-0.16x² + 21.6x – 504.
Step-by-step explanation:
Complete Question
An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.
a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.
b. Write the two possible functions from part a in simplified form.
Solution
The equation for the new profit function is
P(x) = -0.16x² + 21.6x – 400
At x = 40, the original profit function is half the size of the new profit function
First, we find the value of the new profit function at x = 40
P(x) = -0.16(40)² + 21.6(40) – 400 = 208
Half of 208 = 0.5 × 208 = 104
P(original at x = 40) = P(new at x = 40) ÷ 2
Since we are told that P(original) is a simple transformation of the P(new)
P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)
Or, P(original) = 104
-0.16x² + 21.6x – 400 = 104
P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.
So, the two functions that are simple transformations of P(new) to get P(original) are
-0.08x² + 10.8x – 200
Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.
And
-0.16x² + 21.6x – 504.
Obtained by moving the P(new) function down by 104 units.
Hope this Helps!!!
Which exponential function matches the graph below?
Answer:
b
Step-by-step explanation:
just only do B
where x=0, y=2
Answer: a. f(x)=4^x
Step-by-step explanation:
Which function will start at the y-axis at (0,7)
1. y=7x
2. y=x+7
3. y=x-7
4. y=x+5
Answer:
2. y=x+7
Step-by-step explanation:
y=x+7
x y
0 7
1 8
2 9
3 10
The first set of ordered pairs are (0,7)
If you want to buy an item in a store that costs $45.50 and is on sale for 10% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answer:
$40.95
Step-by-step explanation:
Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95
Answer:
$40.95
Move the decimal over to the left once and you get 10% off the all you do is subtract that from the original cost.
Which of the following coordinate points represents the x-intercept of the equation 2x + 3y = 10?
A. (5, 0)
B. (0, 0)
C. (–4, 0)
D. (–2, 0)
Answer:
A
Step-by-step explanation:
take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2
Solve 54 - 10x< 20 + 7x.
O A. x 2
O B. XS-2
O c. xs2
O D. XX-2
Answer:
I think b :)
Step-by-step explanation:
Emily uses 1 2/3cups of sugar and 3 1/4cups flour to make muffins she says she has12/3 more cups of flour than sugar
Answer:
is this helpful for you
Step-by-step explanation:
sugar: 12/3
flour:31/4
sugar:4
flour:7.75
3.7
Help asap plz, dhdhhshdhdhd
Answer:
x=7
Step-by-step explanation:
The two marked angles in the image are supplementary, so we can form the following equation:
2x-3=x+4
We can solve that equation to find x.
2x-3=x+4
2x=x+7
x=7
I hope this helps.
Venn diagrams cover another diagram
Answer:
what do u mean
do u mean does Venn diagram cover another diagrqm
The least common denominator of 1/2, 1/6, and 1/9 is:
Answer:
18
Step-by-step explanation:
Find the factors of each denominator
2 = 1*2
6 = 2*3
9 = 3*3
The least common multiple is
2*3*3 = 18
The least common denominator is 18
Answer:
The LCD is 18.
Step-by-step explanation:
2 = 2
6 = 2*3
9 = 3 * 3
The Least Common Multiple = 2 * 3* 3 = 18 (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).
Two trucks leave a warehouse at the same time. One travels due north at an average speed of 61 miles per hour, and the other travels due south at an average speed of 60 miles per hour. After how many hours will the two trucks be 544.5 miles apart?
Answer: 4.5 hours
Step-by-step explanation:
Distance = speed + time
544.5 = 61t + 60t
t = 544.5/121 = 4.5 hours
which number, when substituted for x, make the equation 4x+ 8= 16 true
Answer:
x=2
Step-by-step explanation:
ok so this is just a substitution problem.
we need to get the variable (x) by itself on one side.
4x+8=16. so, lets remove 8 from the left side, and whatever we do to one side also has to happen to the other.
4x+8=16
-8 -8
4x=8. So now, we want to get 4 separate from x, and the only thing we can do is divide.
4x=8
/4 /4
x=2. there you have it, x is 2.
Answer:
X=2
Step-by-step explanation:
4x+8=16
4x=8
x=2
4(2)+8=16
8+8=16
16=16
Find the midpoint of (6, 4), and (0,2).
Answer:
(3,3)
Step-by-step explanation:
Using the midpoint formula:
[tex]m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)[/tex]
Hope this helps!
QUESTION 3 What is the area of the parallelogram?
Answer:
C. 275.88 m squared
24.2 * 11.4 = 275.88 m squared
Which best explains why the equation 7x + 3 = 7x+-3 has infinitely many
solutions?
A. The equation has a variable on goth sides.
B. The equation is true for any value of x.
O c. The equation is not true for any value ofr.
