Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
Answer:
[tex](x - 1)(x + 1)(x - 2)[/tex]
Step-by-step explanation:
[tex]x^3 - 2x^2 - x + 2[/tex]
Take x² common from first two terms.[tex]=> x^2(x - 2) -1(x - 2)[/tex]
Take (x - 2) common from whole expression.[tex]=> (x - 2)(x^2 - 1)[/tex]
Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)[tex]=> (x - 2)(x + 1)(x - 1)[/tex]
Your friend's house is 10.8 miles north and 14.4 miles east of the bank. How far is your friend's house from the bank?
Answer:
Its 25.2
Step-by-step explanation:
14.4 + 10.8
If friend house is 10.8 miles north and 14.4 miles east of the bank then distance of person's house from bank is 18 miles.
What is pythagoras theorem?Pythagoras theorem says that in a right angled triangle the square of hypotenuse is equal to the sum of squares of base and perpendicular of that triangle.
[tex]H^{2} =B^{2} +P^{2}[/tex] in which P is perpendicular, B is base, H is hypotenuse of triangle.
How to find hypotenuse?When we express person's house,his friend's house and bank on the surface then it will look like a right angled triangle.
H=[tex]\sqrt{B^{2} +P^{2}}[/tex]
=[tex]\sqrt{10.8^{2} +14.4^{2} }[/tex]
=[tex]\sqrt{324}[/tex]
=18 miles
Hence the distance of person's house from bank is 18 miles.
Learn more about pythagoras theorem at https://brainly.com/question/343682
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Question is wrong as the right question is that calculate the distance between person's house and bank.
After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?
Answer:
D(h) = 55h - 2000
1670 m
Step-by-step explanation:
Given :
Starting elevation, D = - 2000 m (2000 m below sea level)
Rate, h = 55 m per hour.
The slope - intercept relation :
y = mx + c
m = slope = rate of change
c = intercept
In the scenario given :
-2000 = intercept
55 = rate of change
D(h) = 55h - 2000
After 6 hours :
D(6) = 55(6) - 2000
D(6) = - 1670 m
For what value of k is the expression x4+kx2+36 a perfect square?
Answer:
12
Step-by-step explanation:
Because if you see clearly that is the only answer that makes the most sense!
The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.
What is a perfect square trinomial?A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.
The equation is given below.
⇒ x⁴ + mx² + 64
Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,
b² = 4ac
m² = 4 x 1 x 64
m² = 265
m² = 16²
m = 16
The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.
More about the perfect square trinomial link is given below.
brainly.com/question/16615974
#SPJ3
complete question:
For what value of m is the expression x4+mx2+64 a perfect square?
Plot the points (2, 5), (2, -4), (10, 5), and (10, -4) on a coordinate plane. What is the perimeter of this polygon?
Answer:16
Step-by-step explanation:
i just need to the points sorry dude
La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades
para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de
padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones
de ahorro:
Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.
Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.
Ayuda a los padres de familia de la promoción a elegir la mejor opción.
ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu
Answer:
Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.
Step-by-step explanation:
El monto recaudado por la escuela secundaria = S / 24,000
Las opciones que tienen los padres para depositar el dinero son;
Opción 1:
El interés simple del depósito = 10%
El número de veces que se aplica el interés anualmente = Trimestral
El número de años para el depósito = 2 años
opcion 2
La tasa de interés del depósito, r = 18% de interés simple.
El número de veces que se aplica el interés = Semestralmente
La cantidad de años que se ahorrará la cantidad = 2 años
Opción 1
Observamos que para el interés simple no hay interés ganado sobre el interés anterior.
Por lo tanto;
Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;
Yo = P × R × T / (100)
∴ I₁ = 24.000 × 40 × 2/100 = 19.200
El interés después de 2 años en la opción 1, I₁ = S /. 19.200
opcion 2
Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;
Yo = P × R × T / (100)
∴ I₂ = 24.000 × 36 × 2/100 = 17.280
El interés después de 2 años en la opción 2, I₂ = S /. 17.280
Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%
Please give me answer please
Answer:
ESIUGSID
Step-by-step explanation:
ALIMONY
First and last letter swapped.
ALIMONY ==> Y_ _ _ _ _A
Then every two letters are reversed.
ALIMONY ==> Y I L _ _ _ A
ALIMONY ==> Y I L _ N O A
ALIMONY ==> Y I L M N O A
Same steps for DISGUISE
First and last letter swapped.
DISGUISE ==> E _ _ _ _ _ _ D
Then reverse every two letters.
DISGUISE ==> E S I U G S I D
Write the exponential function
Answer: f(x)=3(2)^x (The second option)
Step-by-step explanation:
By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!
Which is the answer no links please.
Answer:
c
Step-by-step explanation:
What's the value of X for the figure below?
Answer:
75+30+x+30+x+75=360
210+2x=360
2x=360-210
2x=150
x=150/2
x=75
Step-by-step explanation:
therefore x=75 degree
I REALLY NEED HELP PLS
Answer:
Step-by-step explanation:
100+2x+40=180(sum of interior angle of a triangle)
140+2x=180
2x=180-140
2x=40
x=40/2
x=20
Answer:
x=20
Step-by-step explanation:
the sum of the angles of a triangle is 180
so it means,
100+40+(2×)=180
140+(2×)=180
2×=180-140
2×=40
divide both sides by 2
x=20
to prove this substitute 20 inside see if the result is 180
40+100+(2×)=180
×=20
40+100+(2 (20))=180
140+40=180
140+40=180
Good luck.
Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.
How many shells does Zoe give to Dev?
Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.
Step-by-step explanation:
A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
Answer:
9.2929
Step-by-step explanation:
How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.
Answer:
C. The graph of g(x) is shifted 5 units up.
Step-by-step explanation:
The transformation shown shows a vertical translation.
[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]
The graph would move f(x) five units up.
Hope this helps.
William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)
Answer: $11.30 per pound
Step-by-step explanation:
William spent $110.74 to buy 9.8 pounds of candy.
To find the cost per candy, divide the amount spent by the quantity of candy:
=Amount spent on candy / Quantity of candy
= 110.74 / 9.8
= $11.30 per pound
PLSSS HELP!!! THIS IS MY LAST QUESTION!
Nicolette decided to see what the class could earn from each activity in the same number of weeks. she decided to see how much they could earn in weeks.
a. Why do you think Nicolette chose 12 weeks?
b. how much could they earn from each activity in 12 weeks
d. how can this help Nicolette decide which way will earn more money.
Answer:
D seems most credible .
Hopefully this helped
Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles
Answer:
Step-by-step explanation:
This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:
[tex]\frac{miles}{hrs}:[/tex]
Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):
[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:
638x = 4466 so
x = 7 hrs
HELP I NEED TO GRADUATE
Answer:
Step-by-step explanation:
17/20 x 2/3
Then 17/10 x 1/3 = 17/30
No links please! And I need this math answer quick
Answer:
2r-3(r+7)-8r=10(r-1)
2r-3r-21-8r=10r-10
-9r-10r=-10+21
-19r=11
-19/11=r
Step-by-step explanation:
The volume of a large aquarium is 210 ft3 . It is 5 ft wide and 6 ft high. What is the length of the aquarium?
Answer:
7 ft.
Step-by-step explanation:
210 / (5*6)
= 210/30
= 7 ft.
HELP
Find the slope between the two points (6,-3) (7,2)
Answer: The slope is 5
Step-by-step explanation:
Answer:
m=5
Step-by-step explanation:
hope this helps!
Sarita deposits $1,00 in an account paying 3.4% annual interest compounded continuously. Use the formula to continuous compounded interest, A=Pe rt , where p is the principal, r is the annual interest rate, and t is the time in years.
A. What is the balance in Sarita's account after 5 years?
B.How long will it take the balance in Sarita's account to reach $2,000
Answer:
Step-by-step explanation:
a : 1,000
b : 350
Find the missing side of the triangle.
Solve for X
Answer:
11.18 or 11 yards
Step-by-step explanation:
15² - 10² = x²
225 - 100 = x
225 - 100 = 125
√125 = 11.180339887498948482045868343656
11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.
Emmet has already baked 2 pies, and he can bake 2 pies with each additional cup of sugar he buys. How many additional cups of sugar does Emmet need in order to bake a total of 40 pies?
Answer:
19
Step-by-step explanation:
He can make 2 pies with one cup of sugar so he can make 40 pies with 20 cups of sugar. He already used a cup of sugar so the total is 19 (20-1)
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
810
Step-by-step explanation:
[tex]V = l * w * h = 5 * 9 * 18 = 810\ cm^3[/tex]
What is m<1?
A. 21°
B. 23°
C. 24°
Hi there!
[tex]\large\boxed{\text{B. }23^o}[/tex]
According to a circle theorem:
m∠1 = 1/2(a - b) where a and b are angles.
Thus:
m∠1 = 1/2(94 - 48)
Simplify:
m∠1 = 1/2(46) = 23°. The answer is B.
Plot these points in the graph:
f(x)=(x+1)(x-5)
Answer:
graph based on step by step
Step-by-step explanation:
Graph the x intercepts, when x=0 set x+1=0 and x-5=0 and you get x=5 and x=-1, these are the points when y=0. then you can foil them out and see the way the parabola is structured, then you see that the middle of the intercepts is x=2, plug that into the equation either in intercept form of standard (foiled) and find the maximum/minimum
Three yams are chosen at random from 15 tubers of which 5 are spoilt Find the probability that, of the three chosen tubers (A) none is spoilt. (B) all are spoilt. (C) exactly one is spoilt. (D) at least one is spoilt
Step-by-step explanation:
.....................
2.
Which inequality statement best represents the graph?
A. f(x) ≥ 2x2 + 4x
B. f(x) ≤ –2x2 + 4x
C. f(x) ≤ 2x2 + 4x
D. f(x) ≥ –2x2 + 4x
Answer:
The answer is A. f(x) ≥ 2x2 + 4x or C. f(x) ≤ 2x2 + 4x
Step-by-step explanation:
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( 1 , 2 )
Focus:
( 1 , 15 /8 )
Axis of Symmetry:
x
=
1
Directrix:
y
=
17
8
x
y
−
1
−
6
0
0
1
2
2
0
3
−
6
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( 1 , 2 )
Focus:
( 1 , 15 /8 )
Axis of Symmetry:
x
=
1
Directrix:
y
=
17
8
x
y
−
1
−
6
0
0
1
2
2
0
3
−
6
What is 1519 rounded to the first digit
Answer:
1520
Step-by-step explanation:
hope it is helpful
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE
Answer:
hiii
zom I'd 213 088 8336
p 0
come for s
Answer:
113 degree
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.