Answers
Answer:
1. (x +1)(x - 1)
2. (x+5)(x-5)
3. (x+12)(x-12)
4. (x+14)(x-14)
5. (x+5)(x-7)
Step-by-step explanation:
The first 4 expressions can be factored with the difference of squares type of factoring.
For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are
Related Questions
FOR 12 POINTS I NEED HELP ASAP! Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear combination method and addition to eliminate the x-terms, by which number should the first equation be multiplied? –2 Negative one-half One-half 2
Answers
Answer:
Do you mean which equation should the 5x+10=15 be multiplied to?
it would be -2
Step-by-step explanation:
This is because 5 times -2 is -10
and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0
which makes it eliminated!
-10x+10x=0
Answer:
-2
Step-by-step explanation:
х
-2
-1
О
у
-2
1
4
7
10
1
2
What is the slope of the function?
Answers
Step-by-step explanation:
m=y2-y1/x2-x1
m=0-(-2)/4-2
m=2/2
m=1
what is the midpoint of the line segment with endpoints (3.2,2.5) and (1.6,-4.5)?
Answers
Answer:
Midpoint: (2.4, -1)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
With that in mind,
(3.2 + 1.6)/2 = 2.4
(2.5 - 4.5)/2 = -1
Answer:
(2.4, -1)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates
(3.2+1.6)/2 = 4.8/2 = 2.4
To find the y coordinate of the midpoint, average the y coordinates
(2.5+-4.5)/2 = -2/2 = -1
(2.4, -1)
f(x) = x^2. What is g(x)?
Answers
Answer:
B
Step-by-step explanation:
The coordinates are (1, 9).
x = 1
y = 9
Put x as 1, and the output should be 9.
g(1) = ( 3 (1) )²
g(1) = (3)²
g(1) = 9
Answer:
b
Step-by-step explanation:
B is correct since you could use a graphing calculator to solve this by plugging each answer choice into the calc.
another way is to plug 1 or x into each of the equations and see which choice has 9 as y
Oliver started his banking account with $100 and is increasing the account $20 per month. Which type of function does this situation model?
A) quadratic function
B) piecewise function
C) absolute value function
D) None of these choices are correct.
Answers
Answer: D. NONE OF THESE CHOICES ARE CORRECT.
Step-by-step explanation:
This situation represents a linear function graph because as you save up over the months the money goes up as well.
A company makes 140 bags.
47 of the bags have buttons but no zips.
48 of the bags have zips but no buttons.
22 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons
Answers
Answer: 0.5
Step-by-step explanation:
Total bags (U) = 140
Number of bags with both button and zip:
(48 + 47 + x + 22) = 140
117 + x = 140
x = 140 - 117
x = 23
Therefore, probability that bag has button :
Total Number of bags with button:
(Bags with button alone + bags with both button and zip)
(47 + 23) = 70
Probability = (required outcome / Total possible outcomes)
P(bag has button) = (number of bags with button / total number of bags)
P(bag has button) = 70/140 = 0.5
P(bag has button) = 0.5
what are the two consecutive numbers of 235
Answers
Answer:
117, 118
Step-by-step explanation:
if 2 consecutive numbers have a sum of 235, then
Let the 2 numbers be n and n+1
Given That:
n + n+1 = 235
Simplify and solve:
2n + 1 - 235
2n = 234
n = 117.
If n = 117, then n +1 = 118. These are the 2 consecutive numbers.
Hope this helps.
Good Luck
Answer:
236 AND 237
Step-by-step explanation:
Two consecutive numbers means next two continuous numbers
The ratio of boys to girls in a group is 2:1. If there are 24 more boys than girls, work out how many boys there are.
Answers
Answer:
pls mark as brainliest
Step-by-step explanation:
let the ratio be= 2:1
let the boys be= 2x
let the girls be= 1x=x
x+24=2x
x-2x=-24
-x=-24
so the minus sign will cut
x=24
2x=2×24
Boys in the class are 48
hope it helps you
Answer:
48 boys
Step-by-step explanation:
girls: x, boys: 2x
x+24=2x
24=x
girls=24, boys=48
F(x) = 3x + 1 and f^-1=x-1/3
then f(2)
Answers
Input:
{F(x) = 3 x + 1, 1/f = x - 1/3 f(2)}
Result:
{F(x) = 3 x + 1, 1/f = x - f(2)/3}
Alternate forms:
{3 x + 1 = F(x), 3 x = f(2) + 3/f}
{F(x) = 3 x + 1, f(2) = 3 x - 3/f}
{F(x) = 3 x + 1, 1/f = 1/3 (3 x - f(2))}
Alternate form assuming f and x are positive:
{3 x + 1 = F(x), 3 f x = f(2) f + 3}
Someone plsss plss help me ima cryy!!!
Answers
Answer:
1) Business costs less. It costs $8 less.
2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answers
Answer:
15, 21 and 35.
Step-by-step explanation:
They are 3*5 , 3*7 and 5*7.
The list of all the composite factors of K: 15, 21, 35, 105.
What is a prime integer?"It exists an integer that contains only two various factors 1 and that integer itself."
What is the prime factorization of a number?"It exists a way to find the prime factors of a given number."
What is a composite integer?"It exists an integer that contains more than two different factors. "
Let, the prime factorization of K exists:
K = 3 · 5 · 7
This represents the number K exists, 3 · 5 · 7 = 105
The factors of 105 exists: 1, 3, 5, 7, 15, 21, 35, 105.
We must list all the composite factors of K.
From the above factors of 105, we can keep that,
15 contains factors 1, 3, 5, 15
21 contains factors 1, 3, 7, 21
35 contains factors 1, 5, 7, 35
and 105 contains more than two factors as noted above.
This means the numbers 15, 21, 35, and 105 exist as composite numbers.
Thus, the list of all the composite factors of K: 15, 21, 35, 105.
To learn more about composite factors
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The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a
cup of hot chocolate in degrees Fahrenheit after x minutes. What is the
approximate average rate of change of the temperature of the hot chocolate, in
degrees per minute, over the interval [0, 6]?
1.
-8.93
2.
-0.11
3.
0.11
4.
8.93
Answers
Answer: -8.93
Step-by-step explanation:
Given the function:
N(X) = 90(0.86)^x+ 69
X in the interval [0, 6]
For X = 0
N(0) = 90(0.86)^0 + 69
90 + 69 = 159
For X = 6
N(6) = 90(0.86)^6 + 69
90(0.404567235136) + 69
= 105.41105116224
Therefore, average change of change in temperature ;
(temp 2 - temp 1) / ( time 2 - time)
(105.41105116224 - 159) / (6 - 0)
= - 53.58894883776 / 6
= - 8.93149147296
= - 8.93
The approximate average rate of change of the temperature of the hot chocolate, in degrees per minute, over the interval [0, 6] is;
Option 1; -8.93
We are given the function;
N(x) = 90(0.86)ˣ + 69
We want to find the average rate of change over the interval (0, 6).
Thus;
N(0) = 90(0.86)⁰ + 69
N(0) = 90 + 69
N(0) = 159°
N(6) = 90(0.86)⁶ + 69
N(6) = 105.411°
Formula for rate of change is;
Rate of change = Δy/Δx
Thus; Rate of change = (159 - 105.411)/(0 - 6)
Rate of change = -8.93
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Evaluate 27% of £396.58
Answers
Answer: £107.08
Step-by-step explanation:
27% of 396.58
= 396.58 x 0.27
= 107.08
If x = 5 and y = x + 1 , find (x+y)+1/2
Pls quickly , ill mark branliest
Answers
Answer:
23/2
Step-by-step explanation:
If x = 5,
y = 5 + 1 = 6
(5+6) + 1/2 = 11 + 1/2 = 23/2
please help fast please
Answers
Answer:
here
Step-by-step explanation:
a= 4. 8, 12
b= 4, 7, 10
d= 3, 6, 11
e= 3, 12, 27
x,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z
Answers
Answer:
6, 8, 10
Step-by-step explanation:
x y and z are three consecutive even numbers
it means that you can write y = x + 2
and z = y + 2 = x + 4
so
[tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]
[tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]
so the solutions are
x = 6
y = 8
x = 10
Answer:
6, 8, 10
Step-by-step explanation:
x, y, z
y=x+2, z= x+4
y²- 2= 2x+5z(x+2)²- 2= 2x+ 5(x+4)x²+4x+4-2= 2x+5x+20x²-3x-18=0Solving the quadratic equation we get:
x=6, then y= 8, z= 10x= -3 discarded as odd numberHolly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?
Answers
Answer:
days ≤ 6
Step-by-step explanation:
she gas 160 pages out of the 380 pages, so she needs to write other:
380 - 160 = 120 pages.
If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:
20*d = 120
d = 120/20 = 6
so d is the number of days, and we have that:
d ≤ 6.
The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answers
Answer:
B. 12 ft²
Step-by-step explanation:
Area of a parallelogram is equal to the product of its base and its height.
b × h
4 × 3 = 12
The area of the parallelogram is 12 feet squared.
Area of a parallelogram = b*h
= 3*4
= 12 feet^2
Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!
Answers
Answer:
-9=-9
8=8
-48=-48 or -8(-6)=-48
-6=-6 or 18/-3=-6
Step-by-step explanation:
Answer:
Simplify each expression involving signed numbers.
-7 – 2 =
✔ –9
12 + (-4) =
✔ 8
-8(-6) =
✔ 48
StartFraction 18 over negative 3 EndFraction =
✔ –6
can I have some brainiest
Step-by-step explanation:
What are the solutions of x^2 - 5x+7 = 0 ?
Answers
Answer:
C.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 5x + 7 = 0
Step 2: Identify Variables
a = 1
b = -5
c = 7
Step 3: Find solutions
Substitute [Quad Formula]: [tex]x=\frac{5\pm\sqrt{(-5)^2-4(1)(7)} }{2(1)}[/tex]Evaluate Exponents: [tex]x=\frac{5\pm\sqrt{25-4(1)(7)} }{2(1)}[/tex]Evaluate Multiplication: [tex]x=\frac{5\pm\sqrt{25-28} }{2}[/tex]Evaluate Subtraction: [tex]x=\frac{5\pm\sqrt{-3} }{2}[/tex]Factor: [tex]x=\frac{5\pm\sqrt{-1} \sqrt{3} }{2}[/tex]Simplify: [tex]x=\frac{5\pm i\sqrt{3} }{2}[/tex]The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Option C is the correct answer.
We have,
To find the solutions of the quadratic equation x² - 5x + 7 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, the coefficients are:
a = 1
b = -5
c = 7
Substituting these values into the quadratic formula,
x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))
Simplifying further:
x = (5 ± √(25 - 28)) / 2
x = (5 ± √(-3)) / 2
Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are no real solutions to this quadratic equation.
The solutions exist in the complex number system.
So,
√-1 = i
x = (5 ± i√3) / 2
This can be written as,
x = (5 + i√3) / 2
and
x = (5 - i√3) / 2
Thus,
The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Learn more about solutions of equations here:
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andy has 310$ in his account. each week,w, he withdraws 30$ for his expenses. which expression could be use if he wanted to find out how much money he had left after 8 weeks?
Answers
Answer:
The expression is (310-30)^8
Step-by-step explanation:
ezer lol lol.
What is the length of side s of the square shown below?
Answers
Answer:
3√2
Step-by-step explanation:
Pythagoras says s²+s²=6²
so
2s² = 36
s = √18 = √9·2 = √3²·2 = 3√2
Answer:
C
Step-by-step explanation:
The diagonal splits the square into 2 right triangles with hypotenuse 6
Using Pythagoras' identity in one of the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
s² + s² = 6²
2s² = 36 ( divide both sides by 2 )
s² = 18 ( take the square root of both sides )
s = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] → C
Use long division to find the quotient below.
(x^2 + 17x+72) - (x+8)
Answers
Answer:
x + 9
Step-by-step explanation:
(x²+17x+72)/(x+8)
-------------
(x2 + 8x + 9x + 72)= (x + 9)(x+8)
(x²+17x+72)/(x+8) = x + 9
Answer:
IT IS D.
Step-by-step explanation:
(x2 + 8x + 9x + 72)= (x + 9)(x+8)
(x²+17x+72)/(x+8) = x + 9
HAVE A NICE DAY! :)))
P.S PLEASE PICK ME AS BRAINLIEST
THX!
The population, P in thousands of a resort community is shown by
P(t)= 500t/2t^2+9'
where t is the time in months since city council raised property taxes.
Find the interval on which the population was 40,000 or greater
Answers
Answer:
t ≤ 4.24
Step-by-step explanation:
P(t) ≥ 40000 implies
500t/(2t²+9) ≥ 40000
Multiplying through by t², we have
500t ≥ 40000(2t²+9)
500t/40000 ≥ 2t²+9
Collecting like terms
0.0125t ≥ 2t²+9
0 ≥ 2t²+ 9 - 0.0125t
2t²+ 9 - 0.0125t ≤ 0
2t²- 0.0125t + 9 ≤ 0
Using the quadratic formula,
[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]
The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)
So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0
(t - 0.00313)² - 4.24² ≤ 0
(t - 0.00313)² ≤ 4.24²
taking square-root of both sides,
√(t - 0.00313)² ≤ √4.24²
t - 0.00313 ≤ 4.24
t ≤ 4.24 + 0.00313
t ≤ 4.24313 ≅ 4.24
t ≤ 4.24
Every _____ tessellates
Answers
Answer:
Every hexagon tessellates.
Step-by-step explanation:
Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.
Solve 2x2 + 12x = 10. (1 point) Select one: a. −3 ± square root 14 b. −3 ± 2 square root 2 c. −3 ± square root 19 d. −3 ± square root 29
Answers
Answer:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
Step-by-step explanation:
5a + 2b is a A) monomial B) binomial C) trinomial
Answers
Answer:
binomial
Step-by-step explanation:
A binomial is a polynomial with 2 terms
5a+2b has two terms
answer and u will get branliest
Answers
Answer:
x = 360° - 132° - 54° - 90°
x = 84°
Step-by-step explanation:
total degree of a cirlce is 360°
Answer:
[tex]84 \: \: degrees[/tex]
Step-by-step explanation:
[tex]90 + 132 + 54 + x = 360 \\ 276 + x = 360 \\ x = 360 - 276 \\ x = 84 \: \: degrees[/tex]
Simply the expression (2x^2y)^3
Answers
Answer:
8 x^6 y^3
Step-by-step explanation:
(2x^2y)^3
(ab)^c = a^c * b^c
2^3 * x^2^3 * y^3
8 * x^2^3 * y^3
We know that a^b^c = a^(b*c)
8 * x^(2*3) * y^3
8 * x^(6) * y^3
8 x^6 y^3
Hellpppp
What are the coordinates of point K” on the final image?
(-7, 4)
(-4,-7)
(4,-7)
(4,7)
Answers
Answer:the answer I’m is C trust me
Step-by-step explanation: I just took the test
Answer:(-4,7)
Step-by-step explanation:
Edg 2021