Answer:
x^2 -3x+2
Step-by-step explanation:
(x - 2)(x - 1)
FOIL
first: x*x = x^2
outer: -1*x = -x
inner: -2*x =-2x
Last: -2*-1 =2
Add together
x^2 -x-2x+2
Combine like terms
x^2 -3x+2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(x - 2)(x - 1)}[/tex]
[tex]\large\textsf{DISTRIBUTE}[/tex]
[tex]\large\textsf{x(x) + x(-1) - 2(x) -2(-1)}[/tex]
[tex]\large\textsf{x(x) = }\mathsf{\bf x^2}[/tex]
[tex]\large\textsf{x(-1) = -1(x) = \bf -1x}[/tex]
[tex]\large\textsf{-2(x) = \bf -2x}[/tex]
[tex]\large\textsf{-2(-1) = \bf 2}[/tex]
[tex]\mathsf{= \bf x^2 - 1x - 2x + 2}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(-1x - 2x)}[/tex]
[tex]\mathsf{= \bf -3x}[/tex]
[tex]\large\textsf{SOLVE for the ANSWER:}[/tex]
[tex]\mathsf{x^2 - 3x + 2}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf x^2 - 3x + 2}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is f(5) for the function below?
f (x) = 6x – 10
Answer:
20
Step-by-step explanation:
f(5) = 6(5) - 10
= 30-10
=20
when x = 5, y = 20
Find the length of AB pls and thank you
Answer:
x=4
AB=19
Step-by-step explanation:
in such a parallelogram the length of AD must be equal to the length of BC.
=>
18x = 17x + 4
x = 4
AB = 4x + 3 = 4×4 + 3 = 19
Factorise the following
c) x2 – 3x + 2
Answer:
(x−1)(x−2)
Step-by-step explanation:
25 divided by 94,056
Answer:
0.00026579909 is what 25 divided by 94,056 equals
En el autoservicio del barrio reciben al proveedor de gaseosas cada 8 dias,al de lacteos cada 3 dias y al de galletitas cada 12 dias . El 5 de abril fueron los 3. A¿Cuantos dias pasaran para qie se encuentren nuevamente?
Respuesta:
24 días
Explicación paso a paso:
Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:
Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.
Múltiple de:
8: 8, 16, 24, 32, 40, 48
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
12:12, 24, 36, 48, 60
El mínimo común múltiplo es 24;
Todos se volverán a encontrar después de 24 días.
5 de abril + 24 días = 29 de abril
Amit and Aman have a water tank of 44 litres. Amit uses 3/4 part of the water in water
tank and Aman yses 1/4 part of the water and out the quantity of water used by
both also find who is using much water than other and by how much. (3)
Answer:
i dont know
Step-by-step explanation:
Write the following as an inequality.
2 is less than w, and 7 is greater than or equal to w
Use w only once in your inequality.
Answer:
2 > w ≤ 7
Step-by-step explanation:
Please help first real answer will get brainliest
Answer:
6
Step-by-step explanation:
a1(n-1) + D
d = 6
After studying the growing population of a certain species of fish, Dr. Goldthwait has determined that the population will grow
in such a way that the population each year will be 27 less than the square of the previous year's population. If he introduces
this species of fish to a new environment by placing a population of 15 fish, and the population grows according to his results
which of the following recursive formulas can be used to determine the number of fish that will be in the environment in the
future? Assume that the space for the population to grow is unlimited.
OA
NEXT = Now2 - 27 starting at 15
OB. NEXT = (NOW + 27) starting at 15
OC. NEXT = now? + 27 starting at 15
OD. NEXT =
(NOW - 27) starting at 15
Answer:
OB. NEXT
Step-by-step explanation:
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each. They spent $26.38 total and bought 35 items total. How many candy bars did they buy?
Answer:
22
Step-by-step explanation:
number of gum = x
number of candy bar = y
0.54x + 0.88y = 26.38
x + y = 35
0.54x + 0.88y = 26.38
(+) -0.54x - 0.54y = -18.9
-----------------------------------------
0.34y = 7.48
y = 7.48/0.34
y = 22
Answer: 22
The number of the gum is 13 and the number of the candy will be 22.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.
They spent $26.38 total and bought 35 items total.
Let x be the number of the gum and y be the number of the candy.
Then the equation will be
x + y = 35 ...1
0.54x + 0.88y = 26.38 ...2
By solving the equations 1 and 2, then we have
x = 13 and y = 22
Then the number of the gum is 13 and the number of the candy will be 22.
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A gas station sold 300.5849 gallons of gas in a day. How many
gallons of gas did the gas station sell, rounded to the nearest
hundredth?
Answer:
30058.49
Step-by-step explanation:
b/c when u multiply it in hundredth u can get your answer
At age 25, you invest $1,500 that earns 8 percent each year. How much money will you have at age 65? $_____ (no comma) 32586.78 b. At age 40 you invest $1,500 that earns 11 percent per year. How much money will you have at age 65? $______ (no comma) 20378.20 In which case (a or b) would you have more money at age 65? Why?
Answer:
The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.
Step-by-step explanation:
According To the Question,
Given, A Person Invested $1,500 at Age of 25, With an 8% Per Annum Interest Rate.Thus, The Money He will have at age of 65 would be, [tex]$1,500 * (1.08)^{40}[/tex] = 32586.78$ . Here The Interest Earn in 40 Year Is 31086.78$.
And, the Same Person Invested $1,500 at Age of 40, With an 11% Per Annum Interest rate.Thus, The Money He will have at age of 65 would be, [tex]$1,500 * (1.11)^{25}[/tex] = $20378.20 . Here The Interest Earn in 25 Years Is 18878.20$.
⇒ Now, it is understood that the same amount invested for different periods of time & with a different interest rate, Since The Amount who get more Interest Would earn More. hence, The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.
Will give brainliest if correct!!
Answer:
The smallest increment is 10 V and the uncertainty is 5 V.
A line passes through the points (-2, 4) and (6, 16). Which of the following would not be
a correct equation of the line?
Use the graph that shows the solution to
f(x) = g(x).
f(x) = 1+2x/x=
g(x) = 2+x
What is the solution to f(x) = g(x)?
Select each correct answer.
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.
Answer: a , b
Step-by-step explanation:
If f(x) = \XI + 9 and g(x) = -6, which describes the range of (f + g)(x)?
O (f + g)(x) > 3 for all values of x
O (f + g)(x) < 3 for all values of x
O (f + g)(x) < 6 for all values of x
O (f + g)(x) > 6 for all values of x
Answer:
the first option
Step-by-step explanation:
well, 9 +(-6) = 3
so the equations last part is changed, but the rest stays the same
The range of (f + g)(x) is (f + g)(x) > 3 for all values of x.
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),
f(x)=|x|+9 and g(x)= -6
Taking the sum of the functions:
f(x) + g(x) = |x|+9 + (-6)
f(x) + g(x) = |x|+9 - 6
f(x) + g(x) = |x|+3
Due to the modulus of x which is positive,
Hence (f + g)(x) is greater to 3 for all values of x
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Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
Answer:
-3
Step-by-step explanation:
You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.
how do you determine the second deriviative of x^3-7x^2+36
Answer:
6x -14
Step-by-step explanation:
x^3-7x^2+36
Take the first derivative
3x^2 -14x
Now take the derivative again
6x -14
Answer:
6x - 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 7x² + 36
Step 2: Differentiate
Basic Power Rule: f'(x) = 3x³⁻¹ - 2 · 7x²⁻¹ + 0Simplify: f'(x) = 3x² - 14xBasic Power Rule: f''(x) = 2 · 3x²⁻¹ - 1 · 14x¹⁻¹Simplify: f''(x) = 6x - 14Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
3) How could Tyler have made a more specific request for 2 sides and an angle so that his triangle was guaranteed to match Jada's?
Answer:
His specific request will be any of the following:
A triangle of side lengths 4 and 5, with a measure of 143 degrees between themA triangle of side lengths 5 and 8.5, with a measure of 16 degrees between themA triangle of side lengths 8.5 and 4, with a measure of 21 degrees between themStep-by-step explanation:
Given
See attachment for complete question
Required
Specific information to match Jada's request
From the attachment, we have the following:
Triangle 1: Jada's request
Triangle 2: The triangle made by Tyler
The two triangles are not congruent because:
The side lengths do not correspondHow did we know this?
On Jada's triangle, the longest side is 8.5
On the triangle, Tyler made; the longest side is 5 and does have a corresponding ratio to Jada's triangle
Having said this; this is what Jada needs to do;
He needs to make his request based on any of the following postulate
[tex]SSS \to Side\ Side\ Side[/tex]
[tex]SAS \to Side\ Angle\ Side[/tex]
[tex]ASA \to Angle\ Side\ Angle[/tex]
However, the best postulate to use in this regard is:
[tex]SAS \to Side\ Angle\ Side[/tex]
So, his specific request will be any of the following:
A triangle of side lengths 4 and 5, with a measure of 143 degrees between themA triangle of side lengths 5 and 8.5, with a measure of 16 degrees between themA triangle of side lengths 8.5 and 4, with a measure of 21 degrees between themMaham has a number of apples. She could share my apples equally among 3, 4, or 5 people. What is the smallest number of apples Maham could have?
The value 60 is the LCM of 3, 4 and 5.
==================================================
Explanation:
LCM = lowest common multiple
To find the LCM, we list out the prime factorization of each number
3 = 3*14 = 2*25 = 5*1Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60
----------
If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples
If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.
Or if she had 5 friends, then each friend gets 60/5 = 12 apples.
For any of those three cases, there are no leftovers or remainders.
Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.
Answer:
60
Step-by-step explanation:
60 / 3 = 15
60 / 4 = 20
60 / 5 = 12
They all divide evenly.
3/4 : 1/2 :: 27x : 14
Answer:
Step-by-step explanation:
Note: It is not mention what to find so than i am finding the value of x.
Given data:
3/4 : 1/2:: 27x: 14
Now,
[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]
7th-grade students decided to start fundraising money by selling raffle tickets. The administration promised to contribute $2 extra for each raffle ticket sold. The 7th graders sold 223 tickets and raised a total of $1,115. Write an equation to represent this situation. Remember to define your variable.
Answer:
Let x be the price of a raffle ticket
(x+2)*223 = 1115
x=3
Step-by-step explanation:
Let x be the price of a raffle ticket
The amount they get is now x+2 since the admin is donating 2 dollars per ticket
The sold 223 tickets
(x+2) *223 = amount raised
(x+2)*223 = 1115
Divide each side by 223
x+2 = 1115/223
x+2 = 5
Subtract 2 from each side
x+2-2 =5-2
x=3
[tex] \quad \quad \quad \quad \tt{(x + 2) 223 = 1,115}[/tex]
[tex]\quad \quad \quad \quad \tt{ \huge x + 2 = \frac{1,115}{223} }[/tex]
[tex]\quad \quad \quad \quad \huge\tt{ x + 2 = 5 }[/tex]
Covert the 2 like this:[tex]\quad \quad \quad \quad \huge\tt{ x = 5 - 2}[/tex]
[tex]\quad \quad \quad \quad\huge \tt{ x = 3 }[/tex]
Hence, the answer is:[tex]\quad \quad \quad \quad \boxed{ \huge \tt{ \color{green} x = 3 }}[/tex]
_________
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HELP ME FOR 30 POINTS!!
Determine the equation of the circle graphed below.
Answer:
(x-7)²+y²=9
Step-by-step explanation:
There is a formula used for the equation of a circle:
(x-h)²+(y-k)² = r²
(h, k) is the center of the circle
r is the radius
In this case, (h, k) is (7, 0)
Plug in the values for h and k
∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)
Which statement is an example of the reflexive property of congruence? Help!
Answer:
In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. If ∠ A \angle A ∠A is an angle, then. \angle A \cong \angle A. ∠A≅∠A.
...
Reflexive property in proofs.
StatementsReasons3. a c = b c ac=bc ac=bc3. Substitution property of equality
What is the solution to this equation?
X+ 7 = -8
O A. x= 15
O B. x= 1
O c. x = -15
O D. x= -1
What is the difference of the polynomials?
(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)
6r6s3 – 4r5s4 + 7r4s5
6r6s3 – 13r5s4 – r4s5
8r6s3 – 5r5s4 + r4s5 + 5r3s6
8r6s3 – 13r5s4 + r4s5 – 5r3s6
Answer:
8r6s3 – 13r5s4 + r4s5 – 5r3s6 it is D
DStep-by-step explanation:
The value of the difference of the polynomials is,
⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)
Now, We can find the difference as;
⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)
⇒ (8r⁶s³ – 9r⁵s⁴ – 4r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ – 5r³s⁶
⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶
Thus, The value of the difference of the polynomials is,
⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶
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Find the area of PQRS. (Hint: Use the Pythagorean Theorem to find the height .)
Can you please write a paragraph using this Key Terms: amphibians larvae salamanders emerge habitat dormant migrate escort
Answer:
DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.
HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.
RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.
MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.
BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.
LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.
FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.
THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.
POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.
Step-by-step explanation:
Which line intersects the parabola y = x^2 + 6x – 2 at two points?
A.y = 6x – 4
B.y = 6x – 3
C.y = 6x – 2
D.y = 6x – 1
Answer:
C
Step-by-step explanation:
U fisrt find the y intercept where x=0 and deferentiate to find gradient