Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Can someone please answer 1 for me? Whoever can answer gets brainliest
Please I really need help on this one
Answer:
r=
[tex]r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm[/tex]
The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?
If a pound of turkey costs $0.82, how much will n pounds cost?
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
What is the coefficient of the x^2-term of the product
Answer:
it's x
Step-by-step explanation:
x is what is being raised by 2
Answer:
1
Step-by-step explanation:
The coefficient of x^2 is 1 because there is no real number in front of it
Hope this helped! Please mark me brainliest!
Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas
Answer:
The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].
Step-by-step explanation:
Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:
[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)
The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
Guys i actually need help
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
_ divided by 4= _ remaider 5
Answer:
20 / 4 =5
Step-by-step explanation:
I think
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?
Answer:
2 oranges
Step-by-step explanation:
Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.
Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges
3x + 4y + 4 > 0
how would i solve this?
write the following numbers in order from least to greatest . -1, 1.75, -1.75, -2, -2 1/2, -5/2, 9/4 I NEED HELP ASAP PLEASE
Step-by-step explanation:
-5/2
-2
-1.75
-1
1/5
1.75
9/4
Mark as brainlist . kindly
answer quick will give 20 points
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3
Evaluate x divided by y if x = 3 1/2 and y = 3/4
Answer:
4 2/3
Step-by-step explanation:
hope this helps
An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP
Answer:
18 inches.
Step-by-step explanation:
Let x inches be the altitude of the triangle.
By Pythagoras Theorem,
[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2
108 + x^2 = 432
x^2 = 324
x = 18
So the altitude of the triangle is 18 inches.
An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
Help please with both of these questions :(
Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles
Answer:
cut the two lines at the corner, don't let the lines touch
Step-by-step explanation:
Two lines are drawn at corner of a big triangle and lines should not touch each other
Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangleWhat are the steps to draw?Steps to draw the Pentagon & Triangle are as follow:
First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left cornerSo two triangle and one pentagon is produced
Learn more about Pentagon & Triangle here:
https://brainly.com/question/19596085
#SPJ2
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
24 apples and 36 oranges in a basket. What percentage of the fruit is oranges
Answer:
24 %
Step-by-step explanation:
thats easy
A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?
Answer:
$460.38
Step-by-step explanation:
Use the exponential decay formula, y = C(1 - r)^t
Plug in the original price, depreciation rate, and amount of time:
y = 20000(0.875)^11
y = 460.38
So, the car's value after 11 years will be $460.38
evaluate.
[tex] - \sqrt{81} [/tex]
.......
Answer:
Step-by-step explanation:
First find factors of 81
3 81
3 27
3 9
3 3
1
81 = 3×3×3×3
81 = 3^4
Taking squareroot
∴ -√81 = -√3^4
= -3^2
= -9
enter the value of 3/4 + 7/12 - ( -4 )
Answer:
16/3 or 5.33
Step-by-step explanation:
3/4+7/12+4/1= 16/3 = 5.33
Answer:
Step-by-step explanation:
Exact Form:
16/3
Decimal Form:
5.3....
Mixed Number Form:
5 1/3
Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?
1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?
I will give brainliest
x + 6 >10 or 3x + 11 ≤ −7
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
5y - 4x = -7
2y + 4x = 14
Solve the system of equation
Answer:
( 4 , 1 )
Step-by-step explanation:
when canceling out the y values and then adding the two functions together you get
7y = 7
dividing by seven you get y = 1
when plugging y = 1 into the first quation you get
5 - 4x = -7
subtract 5 from both sides
-4x = -12
divide both sides by negetive four
x = 3
then with plugging in y = 1 for the second equation you get
2 + 4x = 14
subtract 2 from both sides
4x = 12
divide both sides by 4
x = 3
you then check your answers and get the point of (4, 1) for your answer.