Answers
Answer:
the expression is invented
Expanding (a + b)(a - b)
= a(a - b) + b(a - b)
= a^2 - ab + ba - b^2
= a^2 - b^2
So factorising the difference between two squares simply reverses the equation
Related Questions
PLEASE LOOK BELOW!!! (Will give Brainliest)
No links and pls explain!!!!
Answers
Answer:
20 = x
Step-by-step explanation:
All interiror angles in this triangle will equal 180
Set your formula up as 180 = x+5+7x-5+x then solve for x
180 = x+5+7x-5+x
180 = x + 7x + x +5 - 5
180 - 5 + 5 = 9x
180 = 9x
180 / 9 = x
20 = x
You can check your result by pluging in 20 for all x
180 = 20+5+7*20-5+20
180 = 180
The sum of two numbers is 45 and their difference is 7. Find the numbers. *
Answers
the sum of two numbers that is 45 and their difference is 7 it is 39 and 6 more like 39+6
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answers
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
Look Below. (Will give brianliest)
Answers
Answer:
what is your question friend? :)
4/8 =?/2 please answer
Answers
Answer:
? = 1
Step-by-step explanation:
4/8 = ?/2
Change the ? into a variable so it's easier to calculate:
Variable x = ?
4/8 = x/2
Cross multiply:
4 × 2 = 8 × x
8 = 8x
Divide both sides by 8 to isolate the variable:
1 = x
Check your work:
4/8 = 1/2
4 × 2 = 8 × 1
8 = 8
Correct!
x[tex]x^{2}-8x+14=2x-7[/tex]
Answers
Answer:
[tex]x = 3\ or\ x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^{2}-8x+14=2x-7[/tex]
Required
Solve
Equate to 0
[tex]x^{2}-8x-2x+14+7=0[/tex]
[tex]x^{2}-10x+21=0[/tex]
Expand
[tex]x^{2}-7x-3x+21=0[/tex]
Factorize
[tex]x(x-7)-3(x-7)=0[/tex]
Factor out x - 7
[tex](x-3)(x-7)=0[/tex]
Split
[tex]x - 3 = 0\ \ x - 7 = 0[/tex]
Solve
[tex]x = 3\ or\ x = 7[/tex]
Given the statement 11^(n -6) is divisible by 5 for every positive integer n. What must be shown in the induction step?
Answers
Answer:
Proved
Step-by-step explanation:
The given data is:
[tex]11^n - 6[/tex] not [tex]11^{n - 6[/tex]
Required
Prove by induction that it is divisible by 5
Assume [tex]n = k[/tex]
So, we have:
[tex]11^k - 6 = 5p[/tex] where p is a positive digit
Rewrite as:
[tex]11^k = 5p + 6[/tex]
To solve further, we have to prove that [tex]11^k - 6[/tex] is true for [tex]n=k+1[/tex]
So, we have:
[tex]11^{k+1} - 6[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 6[/tex]
Add 0
[tex]11^{k+1} - 6 = 11^k * 11 - 6 + 0[/tex]
Replace 0 with [tex]-5 +5[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 6 - 5 + 5[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 11- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 11 (11^k - 1)- 5[/tex]
Substitute [tex]11^k = 5p + 6[/tex]
[tex]11^{k+1} - 6 = 11 (5p + 6- 1)- 5[/tex]
[tex]11^{k+1} - 6 = 11 (5p + 5)- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 11 *5(p + 1)- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 5[11(p + 1)- 1][/tex]
The 5 outside the bracket implies that it is divisible by 5
An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by k(x) = 125x^2 +670x 125 where P= k(x).
Required:
a. Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit
b. The cost of the ice cream cone is too low then the ice cream shop will not make a profit. Determine what the ice cream shop needs to charge in order to break even
c. The profit function for Cold & Creamy (another ice cream shop) is defined by the function g where gx)- k(x-2). Does the function g have at the same maximum value as k?
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that k(x) = -125x² +670x - 125, where x is the charge per cone and P = k(x) is the weekly profit
a) The maximum profit is at P'(x) = 0. Therefore we have to find the derivative of the profit equation and equate it to 0.
P'(x) = k'(x) = 0
k'(x) = -250x + 670 = 0
-250x + 670 = 0
250x = 670
x = $2.68
P = k(2.68) = -125(2.68²) + 670(2.68) - 125 = $772.8
Hence the maximum profit is $772.8 when the price of each ice cream cone is $2.68
b) At break even, the profit is 0. Hence P= k(x) = 0
-125x² + 670x - 125 = 0
x = 5.17 or x = 0.19
Therefore to break even, the price of the ice cream cone needs to be $0.19 or $5.17
c) g(x) = k(x - 2)
g(x) = -125(x - 2)² + 670 (x -2) - 125
Maximum profit is at g'(x) = 0
g'(x) = -250(x-2) + 670
-250(x-2) + 670 = 0
-250x + 500 + 670 = 0
250x = 1170
x = 4.68
g(4.68) = -125(4.68 - 2)² + 670(4.68 -2) - 125 = $772.8
Therefore function g has the same maximum value as function k
g^2+2g-48=0
g=
Use a comma to separate answers as needed
Answers
Answer:
g = -8, 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
QuadraticsFactoringMultiple RootsStep-by-step explanation:
Step 1: Define
Identify
g² + 2g - 48 = 0
Step 2: Solve for g
Factor: (g + 8)(g - 6) = 0Find roots: g = -8, 6Someone help me please
Square root of 121
Answers
We can check using 11^2 which is in fact 121.
In each diagram, abc is a straight line. Find the unknown angles.
Answers
Answer:
The value of ∠b = 180°
Step-by-step explanation:
Given that;
ABC is a straight line
Another angle is 137°
Find:
The value of ∠a
The value of ∠b
Computation:
We know that, ABC is a straight line
So,
137 + The value of ∠a = 180
The value of ∠a = 180 - 137
The value of ∠a = 43°
The value of ∠b = 360 - 137 - The value of ∠a
The value of ∠b = 360 - 137 - 43
The value of ∠b = 180°
What are the x- and y-intercepts for the graph of 3x + y = 15?
x-intercept = −3
y-intercept = 15
x-intercept = 3
y-intercept = 1
x-intercept = −3
y-intercept = 1
x-intercept = 5
y-intercept = 15
Answers
Answer:
x-intercept = 5
y-intercept = 15
Step-by-step explanation:
Change the equation to slope-intercept form: y = -3x + 15
You have the y-intercept in that equation already, so you know it's 15. To find the x-intercept, substitute 0 in for y and solve algebraically.
0 = -3x + 15
-15 = -3x
5=x
Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15
Answers
9514 1404 393
Answer:
infinite number of solutions
Step-by-step explanation:
The two equations describe the same line.
Adding 9y+15 to the second equation makes it be ...
15 = 6x +9y
Dividing that by 3 gives you ...
5 = 2x +3y . . . . . . identical to the first equation
The lines intersect at every point, so there are an infinite number of solutions.
What is Limit of (3 x minus 3) Superscript five-halves Baseline as x approaches 4
Answers
Answer:
d 243
Step-by-step explanation:
The solution of given function is 243
What is limit of function?
A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number
[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]
[tex](3(4)-3)^\frac{5}{2}[/tex]
[tex](12-3)^\frac{5}{2}[/tex]
[tex](9)^\frac{5}{2}[/tex]
[tex](3^2)^\frac{5}{2}[/tex]
[tex]3^5[/tex]
243
Hence, the solution of given function is 243
Learn more about limit of function
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which of these expressions is equivalent to to 7(x+3)
Answers
On expanding the expression, we get - 7x + 21.
We have the following expression -
f(x) = 7(x + 3)
We have to write its equivalent expression.
Expand : f(x) = [tex]$\pi (\sqrt{x} + 5)[/tex]Expanding we get -
f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]
According to the question, we have -
7(x + 3)
On expanding, we get -
7(x + 3) = 7x + 21
Hence, on expanding the expression, we get - 7x + 21.
To solve more questions on expanding expressions, visit the link below -
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4. How many days of selling bicycles is involved in the study?
b. 40
c. 35
d. 10
a. 45
Answers
Evaluate this expression for x=-5 and y=-5
Answers
Answer:
[tex]x - 2y=5[/tex]
Step-by-step explanation:
Given
[tex]x = -5; y=-5[/tex]
[tex]x - 2y[/tex] --- missing from question
Required
Evaluate
We have:
[tex]x - 2y[/tex]
Substitute for x and y
[tex]x - 2y=-5 - 2*-5[/tex]
[tex]x - 2y=-5 +10[/tex]
[tex]x - 2y=5[/tex]
Find the slope thanks
Answers
10. -1/14
11. -3/4
12. -1/4
13. 11/17
14. -18/13
15. undefined
16. -30
5(x+2)-4 = 13-7(x+1)
Answers
Answer:
0
Step-by-step explanation:
5x+10-4=13-7x-7
5x+6=6-7x
5x+0= -7x
0=-12x
Divide and u get x=0
Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
Answers
Steve earns extra money babysitting. He charges $37.00 for 4 hours and $64.75 for 7 hours. Let x represent the number of hours Steve babysits and y represent the amount he charges
Answers
Answer:$6.25
Step-by-step explanation:we have that
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges
for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25
therefore
y=6.25x
a + b = 300 pls help i cant find out the answer
Answers
Answer:
a= 250
b= 50
250 + 50 = 300
Step-by-step explanation:
There's many solutions but this was the first one I could come up with.
Answer:
my opinion is seince a+b=300 then the sqaure of 300= 17.3?
Step-by-step explanation:
Find the quotient for 12 2/5 ÷ 1/4
ASAP Pls!!!
Answers
Answer:
[tex]49\frac{3}{5}[/tex]
Step-by-step explanation:
Answer:
49 3/5
Step-by-step explanation:
First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.
Hope this helps
It takes Alice 90 minutes to put a futon frame together, and it takes Maya 60 minutes to put the same
type of frame together. If they worked together, how long would it take to put a frame together?
Answers
Answer:
36 minutes
Step-by-step explanation:
The equation to determine the time together is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/90 + 1/ 60 = 1/c
Multiply each side by 180c to clear the fractions
180c( 1/90 + 1/ 60 = 1/c)
2c + 3c = 180
5c = 180
Divide each side by 5
5c/5 = 180/5
c =36
what is an algebraic expression for the quotient w and 7?
Answers
Answer:
the quotient of w and 7
is it correct?
Step-by-step explanation:
A computer store buys a computer system at a cost of $450.20. The selling price was first at $710, but then the store
advertised a 30% markdown on the system. What is the current sale price? What is the percent mark up on the current sale
price?
Answers
Answer:
i believe it is 497 after the 30% mark down
Step-by-step explanation:
i subtracted 30% from 710
line segment GJ is a diameter of circle L.Angle K measures (4x+6)°
what is the value of x?
21
24
32
44
Answers
Answer:
A. 21
Step-by-step explanation:
Recall: inscribed angle in a semicircle equals 90°
m<K is an inscribed angle in a semicircle = (4x + 6)°
Therefore,
4x + 6 = 90°
Solve for x. Subtract both sides by 6
4x + 6 - 6 = 90 - 6
4x = 84
Divide both sides by 4
4x/4 = 84/4
x = 21
What is the proof the outcome (not A)?
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
If the probability of event "A" is 'p', then the probability of the event "not A" is
P(not A) = 1 - P(A) = 1 - p
For p=0.5, this is ...
P(not A) = 1 -0.5 = 0.5 . . . . . matches choice B
Answer:
○B. 0.5 is the proof the outcome (not A).
please please help me please I really need help please
A marching band has 64 members. The band director wants to arrange the band members into a square formation. How many band members will be in each row?
A. 8
B. 7
C. 6
D. 5
Answers
Answer:
A. 8
Step-by-step explanation:
sqrt{64} is 8 (8*8)
Answer:
8
Step-by-step explanation:
There are 8 members in each row
How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
No solution
One solution
Two solutions
Infinitely many solutions