Answer:
I am unsure of the wording of this question, so I will answer both ways I see it.
When x = x + 3, the value of 2x³ + x² - x is 2x³ + 19x² + 59x + 66.
When x = 3, the value of 2x³ + x² - x is 60.
Step-by-step explanation:
x = x + 3 solution:
It is given that:
f(x) = 2x³ + x² - x
We are trying to find this when x = x+3. Substitute this value in for every x in the function.
f(x + 3) = 2(x + 3)³ + (x + 3)² - (x + 3)
Expand the first part.
f(x + 3) = 2(x + 3)(x + 3)(x + 3) + (x + 3)² - (x + 3)
Multiply pairs together.
f(x + 3) = 2(x + 3)(x² + 6x + 9) + (x + 3)² - (x + 3)
Multiply the remaining pairs together.
f(x + 3) = 2(x³ + 9x² + 27x + 27) + (x + 3)² - (x + 3)
Distribute the two inside the parenthesis.
f(x + 3) = 2x³ + 18x² + 54x + 54 + (x + 3)² - (x + 3)
Evaluate (x + 3)².
f(x + 3) = 2x³ + 18x² + 54x + 54 + (x² + 6x + 9) - (x + 3)
Remove all parenthesis and start simplifying.
f(x + 3) = 2x³ + 18x² + 54x + 54 + x² + 6x + 9 - x - 3
Combine all terms ending in x².
f(x + 3) = 2x³ + (18x² + x²) + 54x + 54 + 6x + 9 - x - 3
f(x + 3) = 2x³ + 19x² + 54x + 54 + 6x + 9 - x - 3
Combine all terms ending in x.
f(x + 3) = 2x³ + 19x² + (54x + 6x - x) + 54 + 9 - 3
f(x + 3) = 2x³ + 19x² + 59x + 54 + 9 - 3
Last, combine the final numbers to get:
f(x + 3) = 2x³ + 19x² + 59x + 60
x = 3 solution:
It is given that:
f(x) = 2x³ + x² - x
Substitute 3 in for every value of the function.
f(3) = 2(3)³ + (3)² - 3
Evaluate 3 cubed and then multiply it by 2.
f(3) = 2(27) + 3² - 3
f(3) = 54 + 3² - 3
Evalute 3 squared.
f(3) = 54 + 9 - 3
Add 54 and 9.
f(3) = 63 - 3
Subtract 3 from 63 to get:
f(3) = 60
What is the solution to the system of equations shown below?
6x – 3y = -9
3(2x - y) = 9
А
(-1, 1)
B
(1, -1)
с
no solution
D
infinitely many solutions
The number of shoes a cobbler (shoemaker) can make varies directly with the amount of time the cobbler spends making the shoes.
If the cobbler can make 3 pairs of shoes in two hours, how would you write this equation?
Group of answer choices
y=3x
y=4x
y=2x
y=1. 5x
The pairs of shoes increases as the time the cobbler works increases
The equation of the pairs of shoes is y = kx
How to determine the equation?The variation is a direct variation.
So, we have:
y = kx
Where:
y represents the number of shoesx represents the time in hoursk represents the proportionality constantThe cobbler can make 3 pairs of shoes in two hours,
So, we have:
k = 3/2
k = 1.5
Substitute k = 1.5 in y = kx
y = 1.5x
Hence, the equation of the scenario is y = kx
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At 3 pm, the outside temperature was -2°F. The temperature then fell steadily by 2*Fevery hour for the next four hours. What was the temperature at 7 pm?
Answer:
-10*F at 7pm
Step-by-step explanation:
A 2-column table with 6 rows. The first column is labeled x with entries 2.2, 12.7, 45.2, 76, 113.9, 124.5. The second column is labeled y with entries 0, 1.25, 2.5, 3.4, 5.2, 5.7. A graph shows the horizontal axis numbered 20 to 140 and the vertical axis numbered 2 to 8. A line increases from 0 to 140.
The data set shown represents the total fee for miles traveled on a toll road. Use the information to complete the statements.
There are
observed toll fee values.
It costs $
to travel 76 miles.
The predicted value for traveling 30 miles is $
Sorry for the late answers, but the answers are...
6
3.40
1.61
I know this because I had this problem and I got it correct. The screenshot attached is proof that the answers are correct
Answer:
There are 6 observed toll fee values.
It costs 3.40 to travel 76 miles.
The predicted value for traveling 30 miles is 1.61
Step-by-step explanation:
76. In five successive hours, a car travels 40 km, 45
km, 50 km, 35 km and 55 km. In the next five
hours, it travels with an average speed of 50 km
per hour. Find the total distance the car traveled
in 10 hours.
a. 425 km
b. 450 km
c. 475 km
d. 500 km
Answer:
C
Step-by-step explanation:
C because 475 is equal to an x value of the year axis of the plate in hours
When finding the area of a circle we use the formula \large \pi r^2
true or false
Answer:
a=pir^2
you times pi with the radius squared and that is your area
If you spin the spinner 8 times, what is the best prediction possible for the number of times it
will land on blue?
Please help I give brainiest
Answer:
x = 23 y =67
Step-by-step explanation:
Since a rectangle is made up of 4 right angles you can solve y with the following equation:[tex]23 + y =90[/tex]
Then to solve for x, since x, y and the right angle makes up a triangle and a triangle has 180 degrees. You can use the following equation to solve for x:
[tex]x + 67 + 90 = 180[/tex]
A golf ball is hit so that it travels a horizontal distance of 400 feet and reaches a
maximum height of 190 feet.
Determine a quadratic equation that models the path of the golf ball, assuming it starts at the origin.
Considering the vertex, the quadratic equation that models the path of the golf ball is given by:
y = -0.0011875(x - 400)² + 190
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the vertex is at the maximum height of the parabola, given by (400, 190), hence h = 400, k = 190, and:
y = a(x - 400)² + 190
It starts at the origin, that is, when x = 0, y = 0, hence:
0 = 400²a + 190
a = -190/400²
a = -0.0011875.
Hence, the equation is:
y = -0.0011875(x - 400)² + 190
More can be learned about quadratic equations at https://brainly.com/question/24737967
Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17. Find the rental cost for each movie and each video game.
Answer:
Let x = the price of movies and let y = the price of video games
8x + 3y = 43
2x + 5y = 32
Use the Elimination Method by multiplying both sides of the second equation by 4
8x + 3y = 43
-(8x + 20y = 128)
-17y = -85
y = 5
2x + 5(5) = 32
2x + 25 = 32
2x = 7
x = 7/2 = 3.5
Movies cost $3.50 and video games cost $5
Step-by-step explanation:
pls mark me brainlest
A plane intersecting a double-napped cone is parallel to the generator. which conic section is formed? circle ellipse hyperbola parabola
Answer:
(d) parabola
Step-by-step explanation:
The attached diagram shows some of the curves that result from a plane intersecting one nap of a double-napped cone.
__
When the plane is parallel to the generator, a parabola is the curve of intersection. When the plane intersects both naps of the cone, the resulting set of curves is a hyperbola (not shown here).
HELP!!
Who had the highest mean score? Justify your answer using mathematical reasoning.
Answer:
Katie had the highest mean score.
Step-by-step explanation:
Katie had the highest mean score because her mean score was 81.4, and Annie's highest mean score was 72.4.
Answer: Katie
Step-by-step explanation: In six of out 7 times Katie had higher marks.
Annie mean is 72.42
Katie's mean is 81.42
Complete the table of successive approximation to find the x-value of the solution of f(x)=g(x) to the nearest hundredth f(x)= x^2-2 g(x) = x-1
The solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62
How to find the solution to a given set of function?Given the following function below:
f(x) = x^2 - 2
g(x) = x - 1
Since f(x) = g(x), hence;
x^2 - 2 = x - 1
x^2 - x - 1 = 0
Factorize to have:
x = 1/2 +√5/2 or x= 1/2 - √5/2
x = 1.62 or -0.62
Hence the solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62
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What is the area of the triangle?
Answer:
12 inches squared :)
Step-by-step explanation:
Area of triangle: hxb/2
Now lets solve!!
4(6)/2
24/2
12
Have an amazing day!!
Please rate and mark brainliest!!
pls help with number 1
Answer:
the answer to that question is C
Answer:
C
Step-by-step explanation:
this is not my best area so I may be off but C seems to be the best answer. I got 7 for my mean, 6.5 for my median, and 5.5, 6.5 and 8 as my modes. I'm not sure how to explain my reasoning for getting C though.
An angle measures 40.8° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
the measures of an angle would be 49.2 degrees
Step-by-step explanation:
hope this helps
so so so sorry if this answer is wrong
pls mark brainliest
[tex]\frac{n! + (n+1)!}{n!}[/tex]
Answer:
zero or may be infinite bro
Please help me!!!!! 30 points
Answer:
The answer to the question in the first picture is the first one, "The thirty students studies for the test; only eight students got As."
I had a difficult time deciding whether the answer to the question in the second picture is the fourth one, "Her philosophy is that respect should not be given; it should be earned." or the first one, "Her philosophy is that respect should not be given, it should be earned." but I'm pretty sure that it is the fourth one. (I'm so sorry if it's wrong!)
The answer to the question in the third picture is the third one, "The new school will have many features: a huge gym, several science labs, and am extensive library."
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
(also, I'm really sorry if the answer for the second question is wrong)
add 4 to 7, then multiply 5 by the result??
Answer:
Step-by-step explanation:the second one
If you don’t know pease be mature and don’t answer I really need the answers
What is the equation of the line that has a slope of 2 and goes through the point (4, -1)
y = 2x - 9
y = 2x - 5
y = 2x - 1
y = 2x + 9
Write the equation of the graph.
y−3=12(x+1)
y+3=−12(x−1)
y=12x+5
y−3=−12(x+1)
What is the slope of a line whose equation is 3x−4y=8
?
−43
−34
34
43
What is the equation below in slope-intercept form?
15x−3y=−12
y = -4x + 8
y = -15x -12
x = 3y - 12
x - y = 6
Answer:
1. Given the slope is 2, the equation now looks like y = 2x +b Given P (−1,4) we can solve for the b variable by substituting the x and y cordinates. 4 = 2 ⋅ (− 1) + b 4 = − 2 + b b = 6 Therefore the equation that has the slope of 2 and passes through the point (− 1,4) is y = 2x + 9 so it is d
2. i you can do that.
3. The equation for the slope of a line and the points also called point slope form of equation of a straight line is given by: y − y1 = m (x − x1) Whereas the slope-intercept form the equation of the line is given by: y = mx + b. Where b is the y-intercept.
4.In the formula,y = the y-coordinate of any point on the line,m = slope,x = the x-coordinate of any point on the line,and b = ...
Plug the slope and y-intercept into the formula. Remember,the slope is equal to the rise over the run.
You need to know these
A vender bought an earphone for $1378 and she sold it in order to make a profit of 17. 5% calculate the profit made in cash and the selling price
The profit he made from selling his hearing aids at a profit of 17% is $234.26.
How to calculate the profit obtained?To calculate the profit obtained, we must calculate how much money is equal to 17% of $1,378.
$1,378 ÷ 100 = $13.78$13.78 × 17 = $234.26Based on the above, 17% of $1,378 equals $234.26. On the other hand, to calculate the final sale price of the earphone, we add the initial value plus the value of the profit.
$1,378 + $234.26 = $1,612.26
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George is constructing the circumscribed circle for △RST. He has already used his compass to complete the part of the construction shown in the figure.
Which construction could be his next step?
Construct the line through points A and T and a second line through points B and S.
Construct the line through points A and C and a second line through points B and D.
Construct the line through points A and B and a second line through points C and D.
Construct the line through points A and D and a second line through points B and C.
Answer:
Construct the line through points A and B and a second line through points C and D.
Step-by-step explanation:
This is straight from the test. :)
Answer:
c just took test
Step-by-step explanation:
I NEED HELP!
[tex]-38x+43=-40x-57[/tex]
[tex]x = - 50[/tex]
-38×+43=-40×-57
-38×+43+40=-57
-38×+40×=-57-43
2×=-57+43
2×=-100
×=-50
I do not know if it's right
Given equation,
[tex] \\ \dashrightarrow \sf \qquad-38x+43=-40x-57 \\ \\ [/tex]
Adding 40x to both sides :
[tex] \\ { \dashrightarrow \sf \qquad-38x+43 + 40x=-40x-57 + 40x} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x+43=-57} \\ \\ [/tex]
Adding (-43) to both sides we get :
[tex] \\ { \dashrightarrow \sf \qquad2x+43 + ( - 43)=-57 + (- 43)} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x= - 100} \\ \\ [/tex]
Dividing 2 from both sides :
[tex] \\ { \dashrightarrow \sf \qquad \frac{2x}{2} = - \frac{100}{2} } \\ \\ [/tex]
[tex] { \dashrightarrow \tt \qquad \: x=-50} \\ \\ [/tex]
Which of these numbers is a
perfect square?
How do you know?
a) 10
b) 50
c) 81
d) 20
Answer:
C. 81 because 9 going to make 81 an perfect square.
Ali has $550 in his bank, he owes $145 to his sister, $225 to his brother, and $90 to his friend. How much money does he have to save if he needs a bike worht $600 (USE INTEGERS)
Answer: He needs to save $510
Step-by-step explanation: money owed 145+225 +90= 460
Has 550 in the bank, deduct money owed 550-460 =$90
He needs a bike of $600 and has only $90
Mataeo earns $0.76 per item produced. This week, he produced 360 items. What was his total pay?
273.6
Step-by-step explanation:[tex]0.76\times 360[/tex]
______________________________________
Calculate[tex]0.76\times 360[/tex]
______________________________________
Calculate the product or quotient[tex]273.6[/tex]
I hope this helps you
:)
Find x of the shape in picture
show all work please
Answer:
105 degrees
Step-by-step explanation:
The sum of any quadrilateral is 360 degrees. So, in order to find x, you have to subtract all the given sides from 360.
360-100-95-60=105
Hope this helps! Pls give brainliest!
Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)
An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be done in the following manner.
2x+3y=6
3x+5y=10
Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,
[tex]2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}[/tex]
Now, substitute the value of x in the second equation,
[tex]3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2[/tex]
Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.
[tex]2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0[/tex]
Hence, the ordered pair which is the solution of the system of linear equations is (0,2).
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The greatest common factor of 24 and 9 is
Answer:
3
Step-by-step explanation:
The mean of a set of data is 12367. The mean of absolute deviation is 350. Select the numbers below that are within the mean absolute deviation. A. 12,116 B.12,001, C. 12,990, D. 12,705, E. 12720.
The numbers given below that fall within the mean absolute deviation of the data are: C. 12,990, D. 12,705, E. 12720.
What is the Mean Absolute Deviation?The mean absolute deviation is simply the average of the distance of each of the data points there are in a data distribution.
The difference of each data point from the mean is most likely within the same range with the mean absolute vallue.
If we subtract 12,990, 12,705, and 12720 from the mean of the data, 12,367, we would get a figure close to the mean absolute deviation, 350.
So the numbers that are within the mean absolute deviation are, C. 12,990, D. 12,705, E. 12720.
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