Answer:
(a+b)²=a²+b²+2ab
Step-by-step explanation:
The square of sum of two terms is equal to the squared plus squared plus times product of and . In mathematics, the plus whole squared algebraic identity is called in three ways. The square of sum of two terms identity.
Let (fx)= -14x+3 and g(x) =x^2 +10
Find f(5)-g(5)=
Answer:
-102
Step-by-step explanation:
First, substitute the value into each equation and solve:
f(5) = -14(5) + 3 = -70 + 3 = -67
g(5) = (5)² + 10 = 25 + 10 = 35
-67 - 35 = -102
x^3y+2x^2y^2+xy^3 and 2x^3+4x^2y+2xy^2 Find the HCF.
Answer:
[tex]x(x+y)^2[/tex]
Step-by-step explanation:
We are given that
[tex]x^3y+2x^2y^2+xy^3[/tex] and [tex]2x^3+4x^2y+2xy^2[/tex]
We have to find HCF.
[tex]x^3y+2x^2y^2+xy^3=xy(x^2+2xy+y^2)[/tex]
=[tex]xy(x+y)^2[/tex]
By using the formula
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex]xy(x+y)^2=x\times y\times (x+y)^2[/tex]
[tex]2x^3+4x^2y+2xy^2=2x(x^2+2xy+y^2)[/tex]
[tex]=2x(x+y)^2[/tex]
[tex]2x(x+y)^2=2\times x\times (x+y)^2[/tex]
HCF of ([tex]x^3y+2x^2y^2+xy^3,2x^3+4x^2y+2xy^2[/tex])
[tex]=x(x+y)^2[/tex]
Of the animals at a pet show, 3/8 were cats and 4/8 were dogs. The rest of the animals were rabbits. What fraction of the animals were rabbits?
Answer:
1/8 Of the animals are rabbits.
Step-by-step explanation:
3/8 Cats + 4/8 Dogs = 7/8
1/8 Is all you have room left for so 1/8 would be rabbits.
Answer:
1/8.
Step-by-step explanation:
Fraction of rabbits = 1 - (3/7 + 4/8)
= 1 - 7/8
= 8/8 - 7/8
= 1/8.
How many distinct 5 digit numbers can be formed from the list of numbers
{0,1,2,3,4,5,6,7,8,9}such that the number
i. Is an even number
ii. Is a Odd number
iii. Multiple of 5
iv. Never ends with {2,3,4,5}
PLEASE LOOK at the photo and help me on these 2 questions :(!!!!!
Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
Solve the equation to find the
value of x.
8.35x – 1.5 = 71.98
Answer:
x = 8.8
General Formulas and Concepts:
Pre-Algerba
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 EqualityStep-by-step explanation:
Step 1: Define
Identify
8.35x - 1.5 = 71.98
Step 2: Solve for x
[Addition Property of Equality] Add 1.5 on both sides: 8.35x = 73.48[Division Property of Equality] Divide 8.35 on both sides: x = 8.8A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.
Treating the fee as interest paid, what is the equivalent annual interest rate?
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Interest amount paid on loan = $90
Principal value, amount borrowed = $500
Period, t = 16 days
The equivalent annual interest :
Using the simple interest formula :
simple interest = principal * rate * time
Using, days of year = 365
Plugging in the values into the formula :
90 = 500 * rate * (16/365)
90 = 500 * rate * 0.0438356
90 = 21.917808 * rate
Rate = 90 / 21.917808
Rate = 4.10 = 4.10 * 100% = 410%
If days of year = 360 is used :
90 = 500 * rate * (16/360)
Rate = 90 / 22.222
Rate = 4.05 = 4.105 * 100% = 405%:
At Dubai English School, 549 students use buses to go to school. If this number is 75% of the total school enrollment, then how many students are enrolled in total?
Which of the following functions shows the reciprocal parent function,
F(x) = 1, vertically stretched?
LG
F(x) =
6
5
O A. G(X) = 1 + 10
B. G(x) =
X 100
1
OC. G(x) =
X-7
O D. G() =
9x
Answer:
C
Step-by-step explanation:
but it's also horizontally stretched (see screenshot)
Answer:
The correct answer is G(x)=1/9x
Step-by-step explanation:
What is this function’s input if its output is 11?
f(x) = 2x + 5
Answer:
the input x is 3
Step-by-step explanation:
2x+5=11
2x=6
x=3
Find(g-f)(x)
f(x)=1/x
g(x)=x^2+2x-5
a. 1/x-x^2-2x+5
b.1/x+x^2+2x-5
c.x^2+2x-5-1/x
d.1/x+x^2-5
Answer:
x^2+2x-5 - 1/x
Step-by-step explanation:
f(x)=1/x
g(x)=x^2+2x-5
(g-f)(x) = x^2+2x-5 - 1/x
Answer:
c. x² + 2x - 5 - 1 / x
Step-by-step explanation:
f ( x) = 1 / x.
g ( x) = x² + 2x - 5
so,
( g - f) ( x) = x² + 2x - 5 - 1 / x
There are 12 adults, 24 girls and 6 boys in a room.
Work out the ratio of adults to girls to boys.
Write the answer in its simplest form.
Answer:
12:24:6- divide by 3
4:8:2 - divide by 2
2:4:1- simplest form
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
D
Step-by-step explanation:
Souta wants to compare the mean of his test scores in French class to the mean absolute deviation.
Language Test Scores
French Scores
76
62
94
80
He uses the steps below to find both the mean and mean absolute deviation.
French Scores
Step 1
Add the scores.
76 + 62 + 94 + 80 = 312
Step 2
Divide the sum of the scores by 4.
312 divided by 4 = 78
Step 3
Add the differences between the mean and each score.
(76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0
Step 4 Divide by 4.
StartFraction 0 over 4 EndFraction = 0
In which step did Souta make the first error?
Step 1
Step 2
Step 3
Step 4
Can someone please help me out?
The difference between two numbers is 16. The first number is three times the other number. What are the numbers?
A. 8 and 25
B. 8 and 24
C. 9 and 24
D. 9 and 25
No links or fake answers pls
9514 1404 393
Answer:
B. 8 and 24
Step-by-step explanation:
There are a number of approaches you can use here. One of them is to choose the only answer that makes any sense in the problem.
The problem tells you the numbers have a ratio of 3, so numbers like 8 and 25, 9 and 24, 9 and 25 cannot be the answer.
The only answer choice that makes any sense is B: 8 and 24.
__
If you want to work the problem, there are different ways you can do that. One of my favorite is to consider ratio units. The ratio of the two numbers is 3:1. The difference of the two numbers is 3-1 = 2 ratio units, which we are told is 16. Then each ratio unit represents 16/2 = 8. Then the numbers are ...
3×8 and 1×8 = 24 and 8.
Or, you can let a variable represent one of the numbers. If x is the first number, then the other number is 1/3x, and their difference is ...
x -1/3x = 16
2/3x = 16
x = 16(3/2) = 24
The numbers are 24 and 24/3 = 8.
__
Additional comment
You need to talk to your teacher about this question. The answer choices list the smaller number first, but the problem statement tells you the first number is 3 times the second number. The correct answer would be 24 and 8.
Câu ca dao sau đây bị chi phối bởi luật bài trung, Giải thích tại sao?
“Có yêu, thì yêu cho chắc,
Bằng như trúc trắc, thì trục trặc cho luôn”.
Answer:
Hi Are you from Vietnam?
Step-by-step explanation:
Sorry i cant understand
im filipino
The sum of three numbers is fourteen. The first number minus three times the third number is the second number. The second number is six more than the first number. Find the three numbers.
Answer:
1st number (x) = 5
2nd number (y) = 11
3rd number (z) = -2
Step-by-step explanation:
Let the generic solution for this problem be x + y + z = 14.
The first number minus three times the third number equals the second number, so x - 3z = y. The second number is 6 more than the first number, so y = 6 + x.
x - 3z = y, we know that y = 6 + x, so the equation becomes x - 3z = 6 + x.
After some arithmetic, we find that z = -2.
Plugging our knowns back into the generic solution becomes:
x + x - 3z + z = 14
2x - 3(-2) - 2 = 14
2x + 6 - 2 = 14
2x + 4 = 14
2x = 10
x = 5
So we know that z = -2, and x = 5, it's just simple substitution from there.
5 + y + (-2) = 14
5 + y = 16
y = 11
PLSSSS ANSWER!!!!!!!!!
Which one did you need help with?
find the surface area of the composite figure
Answer:
[tex]=280[/tex] [tex]in^2[/tex]
Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.
[tex]2*10=20+20=40[/tex]
[tex]4*10=40+40=80[/tex]
[tex]4*2=8+8=16[/tex]
[tex]40+80+16=136[/tex]
The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.
[tex]4*7=28+28=56[/tex]
[tex]4*7=28+28=56[/tex]
[tex]4*4=16+16=32[/tex]
[tex]56+56+32=144[/tex]
The surface area for the green rectangular prism is 144 [tex]in^2[/tex].
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.
[tex]136+144=[/tex]
[tex]=280[/tex] [tex]in^2[/tex]
----------------------------------------
Hope this is helpful.
9514 1404 393
Answer:
224 in²
Step-by-step explanation:
There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.
The area of a prism is ...
A = 2(LW +H(L+W))
Pink area:
A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches
Green area:
A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches
One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...
SA = 136 in² +144 in² -56 in² = 224 in²
Pppppppllllssss help
nah you good g shsgshagagagag
shshagsggsgsgwg
Solve 2 + 3et+ 2 = 7 for x.
Estimate 481 + 223 round each number first.
Answer:
7
Step-by-step explanation:
481 + 223
approximately 481 =5
223 =2
5+2=7
Answer:
7
Step-by-step explanation:
What is the value of x? Round the answer to the nearest tenth.
DONT RESPOND WITH A LINK!!!!!!!
Answer:
i believe x is 16.1
Step-by-step explanation:
hope this helps
What is the 45th digit in the decimal equivalent of 3/7
Answer:
1/7 = 0.142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Answer:
3/7 = 0.428571 which is also considered a number that keeps repeating.
If f(x)=x^2−8x and g(x)=−12x^2 what is g(f(−4))?
Answer:
-27648
Step-by-step explanation:
In this problem, we are looking for the function of g in terms of the function f. Simply put, we just replace the variable x in the function g with f(-4).
Step 1, writing g(f(-4)):
[tex]g(f(-4))=-12(f(x))^2[/tex]
Great! Let us substitute f(x) with the given expression.
Step 2, substituting and simplifying:
[tex]\\g(f(-4))=-12(x^2-8x)^2\\g(f(-4))=-12((-4)^2-8*(-4))^2\\g(f(-4))=-12(16+32)^2\\g(f(-4))=-12*2304\\g(f(-4))=-27648[/tex]
g(f(-4) is [tex]\fbox{-27648}[/tex].
I hope this helps! Let me know if you have any questions :)
A triangle has two sides length 10 to 14 wht value could the length of the third side be
Answer:
[tex]4 < c < 24[/tex]
Step-by-step explanation:
Given
[tex]a = 10[/tex]
[tex]b = 14[/tex]
Required
The possible length of c
Using triangle inequality theorem, we have:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
So, we have:
[tex]a + b > c[/tex]
[tex]10 + 14 > c[/tex]
[tex]24 > c[/tex]
Also:
[tex]a + c > b[/tex]
[tex]14 + c > 10[/tex]
[tex]c > 10 - 14[/tex]
[tex]c > - 4[/tex]
Lastly;
[tex]b + c > a[/tex]
[tex]10 + c > 14[/tex]
[tex]c > 14 - 10[/tex]
[tex]c > 4[/tex]
Write out all inequalities without negative consideration
[tex]24 > c[/tex]
[tex]c > 4[/tex]
Rewrite as:
[tex]c < 24[/tex] [tex]4 < c[/tex]
Writing both together, we have:
[tex]4 < c < 24[/tex]
Hence, the third side can take its value from the range: [tex]4 < c < 24[/tex]
PLEASE HELP QUICKKKKKKKK
9514 1404 393
Explanation:
Using a random number generator to choose coefficients, we can substitute the required solution to find the constants in the equations. Here is one possible set of equations.
17x +7y +8z = 6
12x -6y +z = -16
14x +8y +11z = 16
__
Additional comment
"Standard form" requires the x-coefficient be positive. Truth be told, the random number generator came up with negative numbers for the first and last equations (on the second try). On the first try, it came up with a couple of zero coefficients. Such is the behavior of random numbers.
The trick with choosing a set of numbers "by hand" is doing it in such a way that the equations are independent.
What are the three plot points and is it over the x-axis or y-axis
Answer:
(-2,1), (0,1), and (2,0). its over the y axis
Step-by-step explanation:
Answer:
shift it 3 values right and 2 units up
Step-by-step explanation:
moving x-axis and moving y-axis
The smallest number by which 48 should be multiplied so as to get a perfect square is
Answer:
3
Step-by-step explanation:
hrhrhehrhrhrhrhruruurruururuur
You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 66 different TVs, 1212 types of surround sound systems, and 1818 types of DVD players. How many different home theater systems can you build
Answer:
You can build 1296 different home theater systems.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
There are:
6 different TVs
12 types of surround sound systems.
18 types of DVD players.
How many different home theater systems can you build?
The components are independent, so, by the fundamental counting principle:
6*12*18 = 1296
You can build 1296 different home theater systems.