Answer:
6
Step-by-step explanation:
[tex]Here,\\\\\hookrightarrow x^{2} +y^{2} =20\:and\:xy=7\\\\Now,\\\\\hookrightarrow (x - y)^{2} \\\\Applying\:formula\\\\\hookrightarrow (x-y)^{2} =x^{2} -2xy+y^{2} \\\\Then\: we\: get\\\\\hookrightarrow x^{2} -2xy+y^{2} \\\\\hookrightarrow x^{2} +y^{2} -2xy\\\\\hookrightarrow 20-(2\times7)[Because\:x^{2} +y^{2} =20\:and\:xy=7]\\\\\hookrightarrow 20-14\\\\\hookrightarrow 6[/tex]
Answer: (x - y)² = 6
Concept:
Here, we need to know the concept of FOIL.
It is a way to expand squared or greater exponents parenthesis.
F irstO uterI nner L astStep-by-step explanation:
Given information
x² + y² = 20
xy = 7
Given expression
(x - y)²
Expand parenthesis through FOIL
= (x - y) (x - y)
= x · x - x · y - x · y + y · y
= x² - 2xy + y²
Substitute values into the expression
= x² + y² - 2xy
= (20) - 2 (7)
= 20 - 14
= [tex]\boxed{6}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Bella is in school at math class. Her teacher, Mrs. Williams asks her "What's 9-3 divided by 1/3 + 1 equal to?" help Bella answer the question without using a calculator.
1.) 15 — 2y = Зу Help!!!
Answer:
y=3 the answer is 9 to the equation
What is the prime number?
Answer:
In math, prime numbers are whole numbers greater than 1, which have only two factors – 1 and the number itself. Prime numbers are divisible only by the number 1 or itself. For example, 2, 3, 5, 7, and 11 are the first few prime numbers.
Step-by-step explanation:
hope this helps :)
Please help me i don’t understand it :(
Answer:
Step-by-step explanation:
Explaining the Basic Concept:
This is a piecewise function, which means that it is made up of several different functions which all have different domains
In this question, we have 3 'pieces' in our piecewise function
the domain of each piece is:
1. x < -1
2. -1 ≤ x ≤ 2
3. x > 2
we will use the function related with the respective domain
Finding the values of the function:
h(-4)
Here, our input value is -4
we notice that -4 is in part of the first domain
therefore, -4 is in the domain of the first function
So, we will use the first function
h(x) = -(x/4) + 2 (for x < -1)
replacing x with -4
h(-4) = -(-4/4) + 2
h(-4) = 1 + 2
h(-4) = 3
h(1):
Here, our input value is 1
we notice that 1 is a part of the second domain
Hence, 1 is in the domain of the second function
So, we will use the second function
h(x) = -(x-1)² + 2 (for -1 ≤ x ≤ 2)
replacing x with 1
h(1) = -(1-1)² + 2
h(1) = -(0)² + 2
h(1) = 2
h(2):
Here, out input value is 2
We notice that 2 is a part of the second domain
Hence, 2 is a part of the domain of the second function
So, we will use the second function
h(x) = -(x-1)² + 2 (for -1 ≤ x ≤ 2)
replacing x with 2
h(2) = -(2-1)² + 2
h(2) = -(1)² + 2
h(2) = - 1 + 2
h(2) = 1
Therefore:
h(-4) = 3
h(1) = 2
h(2) = 1
Which answer choices fit in the pattern below? Select all that apply.
18, 28, 38, ___, ___, ___
BTW I DONT WANT TO DO THIS SO TY FOR WHOEVER DOES IT
Answer:
18,28,38,48,58,68
Step-by-step explanation:
You are adding by 10 every time
which of the following describes controlled variables
A what you change for testing
B what you keep the same
C what you measure
Answer:
b, controlled variables are constant and unchanged
A controlled variable is what is held constant. When doing an experiment, it is ideal to only focus on one variable at a time while keeping everything else in check. This way you can compare two items effectively.
In contrast, a manipulated variable is one that is intentionally changed to see how it affects the subject. For example, if you're testing various fertilizers, then the fertilizer brand would be the manipulated variable. The soil, moisture, amount of sunlight, and other environmental factors are kept the same (each subject gets the same about of each) making them to be controlled variables.
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.74
before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the
discount, what is the total cost of the meal? Round your intermediate calculations and answer to thenearest cent.
Answer:
it is 82.53 round to 82.50 ithink
what do you mean by '^' next to everything?
Answer:
power of for example 4 to the power of 2. 2 means square
Which equation has no solution
Answer:
d
Step-by-step explanation:
what is three times three
Answer:
9
Step-by-step explanation:
3x3=9
its nine bruhhhhhhhhhhhhh
Determine the range of the function.
y=1/4x^2 - 5
a.All real numbers.
b.All integers less than or equal to -5.
c.All integers greater than or equal to -5.
d.All real numbers greater than or equal to -5.
Answer:
[tex]Solution: f(x)\ge-5\\Interval:[-5,\infty)[/tex]
Step-by-step explanation:
Equation: [tex]\frac{1}{4} x^2-5 = y[/tex]
1). [tex]\frac{1}{4} x^2-5 = y[/tex] →[tex]\frac{x^2}{4}-5=y[/tex]
2). [tex]\frac{x^2}{4}-5=y[/tex] ∴ [tex]a=\frac{1}{4}, b=0, c=-5[/tex]
3). [tex]x_v=-\frac{b}{2a}[/tex]
[tex]=-\frac{0}{2(\frac{1}{4})}[/tex]
[tex]=0[/tex]
4). now plug [tex]x_v[/tex] into [tex]y_v[/tex]
[tex]y_v=\frac{0^2}{4}-5[/tex]
[tex]=-5[/tex]
5). Minimum (0,-5) ∴ [tex]f(x)\ge-5[/tex]
Solve 4,000 ÷ 80 = what
Answer:
50
Step-by-step explanation:
i asked alexa so yeaaa
A mixture requires 4 cups of water for every 7 cups of flour used. How many cups of water should be used with 28 cups of flour
Answer:
16 cups of water
Helpppppppp againnnnnn
Answer:
100.40
Step-by-step explanation:
if 6 members has paid, then the remaining 8 will be 8 x 12.55 = 100.4
Answer:
The answer is $100.40
Step-by-step explanation:
ok. their are 14 members. 6 members payed their dues in week 1. so, subtract 6 from 14. 14 - 6 = 8. Now, the due is $12.55. 8 members payed their dues in week 2, so multiply 8 by 12.55. 8 x 12.55 = 100.50 the answer SHOULD be $100.50 i would think, but there is not an option for that. so, i would pick option 4, because that is .10 off from 100.50. Good luck!!
The width of a rectangle is 5 times the length. If the perimeter is 72, find the dimensions of the rectangle.
Answer:
l=6
b=30
Step-by-step explanation:
b=5l
perimeter= 72
2(l+b)= 72
l+b= 36
l+5l= 36
6l= 36
l= 6
b=5l= 6*6= 30
Can someone please help me
Problem 1
Answer: Choice B) x = -2------------------
Explanation:
Add the equations straight down.
The x terms add to 5x+(-3x) = 2x
The y terms cancel out since 3y+(-3y) = 0y = 0
The right hand sides add to -7+3 = -3
After adding the equations you should get 2x = -4 which solves to x = -2
=====================================================
Problem 2
Answer: y = 4------------------
Explanation:
Since 5x = 0, this means x = 0 after dividing both sides by 5.
Use this to find y
y = -4x+4
y = -4(0)+4
y = 4
If you want the value of z, then
x = -3y+z+6
0 = -3(4)+z+6
0 = z-6
6 = z
z = 6
URGENT!!!!!!!!!!! 25
Answer:
Geometry so easy
Step-by-step explanation:
You can do it..
4 1/3 x 3/5 express your awnser in simplest form.
Answer:
2 3/5
Step-by-step explanation:
someone please help me with this !! Put it in order !! will mark as brainlest!!
Answer:
i dont no hindi ko alam eh
Step-by-step explanation:
-Given
-4
-Divison Property Of Equality
-3
Please help me this is a big grade for me and I’m very confused on this whole page
Answer: 5) 2, -8, 32, _,_
I believe that it would be -64, then 128
Step-by-step explanation:
Bc its positive then negative and its being multiplied by -4 each time so when you mutiply a negative to a negative its a positive which is were the positives and negatives come from. :)
PLEASE HELP!!!!!
A line passes through the point (-8, -9) and has a slope of -
5
4
Write an equation in slope-intercept form for this line.
Answer:
y = -5/4x -19
Step-by-step explanation:
It is often convenient to simplify a point-slope form of the equation.
y = m(x -h) +k . . . . . line with slope m through (h, k)
y = -5/4(x -(-8)) -9 . . . . fill in given values
y = -5/4x -10 -9
y = -5/4x -19
Jamier buys a bus pass for $30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and $24 was deducted from the value of the pass. How much does each bus ride cost?
Answer:
each bus has cost $2 thats it
What’s the answer to this question HELP ME !!
Answer:
x=6
Step-by-step explanation:
The picture is a little unclear but I hope this is true...
To find the perimeter you need to add the sides of the triangles and the question says that the perimeters of the triangles are equal. So,...
(2x+4)+(2x)+(2x+3)=(3x+1)+(2x)+(2x)
2x+4+2x+2x+3=3x+1+2x+2x
4+2x+3=3x+1
7+2x=3x+1
2x-3x=1-7
-x=-6
x=6
A class of 28 students has four more than two times as many
boys as girls. How many of the students are girls?
Answer:
there are 8 girl students
Step-by-step explanation:
28-4= 24
28 divided by 3 is 8
8x2=16
16+4=20
20+8= 28
therefore... there are 8 girls in the class
the question is in the picture can someone PLSSS answer!!!
i will mark brainliest!!
Answer:
the third one im pretty sure
Step-by-step explanation:
3. Select two numbers that have 4 as their greatest
common factor. Mark all that apply.
12
Part
A 2,4
B
4,8
C
8. 12
D 8. 16
E
12. 24
I’m
Answer:
B and C
Step-by-step explanation:
All others have higher factors than 4
Answer:
B,(4,8) &C,(8,12)
Step-by-step explanation:
A,(2,4)=2=2
4=2^2(GCF of 2&4 is 2)
B,(4,8)=4=2^2
8=2^3(GCF of 4&8 is 4)
C,(8,12)=8=2^3
12=2^2*3(GCF of 8&12 is 4)
D,(8,16)=8=2^3
16=2^4(GCF of 8&16 is 8)
E,(12,24)=12=2^2*3
24=2^3*3(GCF of 12&24 is 12).
i hope it helps you
How can i use multiplication/division to calculate a percent of a number?
Answer:
for example you are given a percentage and numbers you cross multiply
Step-by-step explanation:
hope it helps cause I don't know how to explain the answer
How do you do this question?
=======================================================
Explanation:
f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.
f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.
f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.
--------------------
The conditions to use the integral test have been met. So we have to see if [tex]\displaystyle \int_1^{\infty}f(x)dx[/tex] converges or not.
Let's integrate and find out
[tex]\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\[/tex]
So we have
[tex]\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\[/tex]
Meaning that,
[tex]\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\[/tex]
If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression [tex]-\frac{1}{5b^5}+\frac{1}{5a^5}[/tex] will turn into [tex]\frac{1}{5}[/tex]
Therefore,
[tex]\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\[/tex]
Because this integral converges, this means the series [tex]\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}[/tex] also converges as well by the integral test.
A factory makes sheets of metal that are 4 5/8 inches thick. If a worker at the factory makes
a stack of 5 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.
2. Mr. Winter is putting away
48 chairs. He can put away
the chairs in stacks of 10 or
as single chairs. What are all
of the ways Mr. Winter can put
away the chairs?
Wh
he can make 4 stacks, leaving 8 chairs as single chairs