Answer:
B
Step-by-step explanation:
[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]
You can confirm this by working in reverse:
[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]
Hope this helps!
Answer:
(x−4)^2
Step-by-step explanation:
I did the test
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4 = -(x - 6) and passes through the point (-2, -2)?
o y = x - 10
0 y = x + 10
o y = 2 X-1
O y = x + 1
Answer:
I think it is c
Step-by-step explanation:
I just worked it out but I am not sure if I am 100% right.
hope this helped at all!!!
Answer:
y = 3/2x - 1
Step-by-step explanation:
Slope intercept form = y = mx + b
m = slope of the line = -2/3
y = -2/3x + b
Plug in (-2, -2) and the perpendicular line is
y = 3/2x - 1
You are welcome and don't for get to click THANKS
Give the domain and range.
Answer:
Domain is {-2,0,2}
Range is {4,6,8}
Step-by-step explanation:
The domain is the input or x values
Domain is {-2,0,2}
The range is the output or y values
Range is {4,6,8}
Differentiate the function.
y = (4x − 1)^2 (4 -x^5)^4
dy/dx=
Answer:
[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Terms/CoefficientsFactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = (4x - 1)²(4 - x⁵)⁴
Step 2: Differentiate
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]: [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule: [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply: [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor: [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Can you Please help me
Answer:
45/12
Step-by-step explanation:
first open the brackets +(-5½)= -5½
-7⅔-5½+8¾ put liketerms together
8¾-5½-7⅔
(find the LCM of the denominator 4,2,3 that is 12)
change the improper fraction to proper fraction 35/4-11/2-23/3.
(multiply by the 12 to make the denominator same)
(35/4x12)-(11/2x12)-(23/3x12)
105-66-92 = -53/12
12
=-45/12
On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
What are fractions?
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number on the bottom of the line is called the denominator.
Given is the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
We have the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
On solving, we get -
- 23/3 - 11/2 + 35/4
35/4 - 23/3 - 11/2
(105 - 92 - 66)/12
(105 - 158)/12
-53/12
-4[tex]\frac{5}{12}[/tex]
Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
To solve more questions on fractions, visit the link below-
https://brainly.com/question/15200890
#SPJ2
Find the area of the following shapes:
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!
The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2
Answer:
[tex]400\pi m^2[/tex]
Step-by-step explanation:
If the diameter is 40, the radius is 20.
The area is 400π
Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).
Answer:
27.4
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+ 34.6+118 = 180
Combine like terms
x+152.6 = 180
Subtract 152.6 from each side
x +152.6-152.6 = 180-152.6
x =27.4
_________________________________
Solution,
x+118+34.6=180°( sum of angle in traingle)
or,x+152.6=180
or,X=180-152.6
X=27.4
The value of X is 27.4 °
hope it helps
Good luck on your assignment
_________________________________
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle
Answer:
We find half the measure of the central angle of the circle. Where the given shape is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle is proven. We show this as Angle BAC is a RA 360 is the measure of circle 360/2 = 180 the semi circle Angle BAC is 180/2 = 90 degree.
Step-by-step explanation:
Hope it helps you!
Answer:
A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
Specifically from the edge answer just copy and paste
Betty bought two bags full of books at an annual library book sale. If she
pays a total of $12.90 for both bags, of which $0.90 is tax, how much did
each bag of books cost?
Answer:
12.90= .90+ 2x
12=2x
6=x
Each bag of books cost was $6
Answer: the answer is $6
Step-by-step explanation:
Since Betty payed .90 cents on tax we can subtract this from the equation because we are just trying to focus on how much she spent on one bag. Now all we have left is $12. Then we would have to divide 12 by the number of bags she bought, so 2. 12 divided 2 equals 6, meaning Betty spent $6 per bag.
solve for 3x2 + 15x = 12
Step-by-step explanation:
3x2 pls is this multiplication sign or it is (x)
HELP!
Find the exact area and circumference of a circle whose diameter is 8 meters.
Show your work!!
Answers:
Area: 50.24m^2
Circumference: 25.12 m
please see the attached picture for full solution
hope it helps
good luck on your assignment
Help :(((((((((( please
Answer:
the ratio of the circumference of a circle to its diameter
Step-by-step explanation:
I need help asap. For this one I am not sure if it is correct.
Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?
Your answer would be approximately 30.93
Volume of a sphere is V=4 /3πr^3
Marsha wanted to survey the students in the eighth grade about their favorite type of music. Which
group of students could she ask so that her sample is random?
Answer:
add more information
Step-by-step explanation:
PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU
Answer:
D
Step-by-step explanation:
Starts with 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
and so on
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
Sandy surveyed the students in his class. He found that 8 of 31 students like writing with pencils rather then pens. If there are 1,381 students in the school, how may prefer writing with a pencil?
Answer:
5,532.
Step-by-step explanation:
One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?
Answer:
your missing angle is
90+65 = 155
180-155 = 25
so your missing angle is 25 degrees
3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much.
A girl has 20 marbles
10 are red, 7 are blue, and 3 are green
If she picks 5 marbles, without replacing them, what are the chances all 5 are red?
10/20 * 9/19 * 8/18 *7/17 * 6/16
1/2 * 9/19 * 4/9 * 7/17 * 3/8
1/2 * 1/19 * 3/2
1/76
Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16
13. Nine less than a number is no more than 8 and is no less than 3.
Step-by-step explanation:
I think we can choose the number 5 so
9 - 5 = 4 no more than 8 and less than 3
Answer:
[tex]&#x \in [12, 17][/tex]
Step-by-step explanation:
[tex]3 \leq x-9 \leq 8 \\ \\ \leq x-9 \\ 3+9 \leq x \\ \leq x[/tex]
[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\ \leq x \leq 17[/tex]
[tex]&#x \in [12, 17][/tex]
Find the length of AB
Give your answer to 1 decimal place
Answer: 6.452cm.
As 1 decimal place it would be 6.5cm.
Answer:
6.9 cm
Step-by-step explanation:
a^2 + b^2 =C^2
a^2 + b^2 = 8^2
6.9^2 +4^2 =64
47.61 + 16 = 64
47.61 about 48
Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5
What is the proof that the number is divisible?
We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is; (3ⁿ⁺⁴ - 3ⁿ)/16
From laws of indices, we know that;
aᵐ⁺ⁿ = aᵐ × aⁿ.
Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.
Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;
((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)
3ⁿ(80/16) = 3ⁿ × 5
The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.
Read more about proof of numbers at; https://brainly.com/question/10657323
Which of the following statements correctly illustrate the addition property of equality?
Check all of the boxes that apply.
If a = b, then a + c = b + c.
If x = y, then x + 2 = y- 2.
If w + 2 = 7, then w + 2-2 = 7- 2.
Answer: The first one and the third one
Step-by-step explanation:
The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5
53!
The equation d = is can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an
equivalent equation solved for V?
Answer:
V = m/d
Step-by-step explanation:
d = m/V, m = mass and V = volume
We want to solve for V
Multiply each side by V
dV = m/V *V
dV = m
Divide each side by d
dV / d = m/d
V = m/d
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
what is the difference for -22 - (-26)
Answer:
4
Step-by-step explanation:
What is the measure of ZY, in degrees?
For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8
Answer:
The x-intercept is at
✔ (6, 0)
The y-intercept is at
✔ (0,-2)
Step-by-step explanation:
this is for the second question of this problem
