Answer:
So 1) x²-2x-8
= x(x-2-8/x)
2) y²-13y+42
= y(y-13+42/y)
3) m²-6m-7
= m(m-6-7/m)
Hope it helps
solve for x: 11x+6=6x+11
[tex]\longrightarrow{\green{ x\:=\:1}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]11x + 6 = 6x + 11[/tex]
➼[tex] \: 11x - 6x = 11 - 6[/tex]
➼[tex] \: 5x = 5[/tex]
➼[tex] \: x = \frac{5}{5} [/tex]
➼[tex] \: x = 1[/tex]
Therefore, the value of [tex]x[/tex] is 1.
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex]11 \times 1 + 6 = 6 \times 1 + 11[/tex]
➼ [tex] \: 11 + 6 = 6 + 11[/tex]
➼[tex] \: 17 = 17[/tex]
➼ L. H. S. = R. H. S
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA LA POBLACION QUE SE ESPERABA PARA EL 2012
Answer:
La población que se espera para el 2012, es 317,060
Step-by-step explanation:
Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.
Definamos P(t) = población después de t años
Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A
P(0) = A
Un año después, en t = 1, la población incrementa en un 2%
P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)
Otro año después, en t = 2, la población incrementa un 2% de vuelta.
P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)
= A*(1.02)*(1.02) = A*(1.02)^2
Ya podemos notar un patrón, la población en el año t va a ser:
P(t) = A*(1.02)^t
Sabemos que en t = 0 (el año 2000) la población es 250,000
Entonces A = 250,000
P(t) = 250,000*(1.02)^t
Ahora queremos calcular la población en el año 2012
entonces si t = 0 es el 2000
2012 esta representado con t = 12
Reemplazando eso en la ecuación, obtenemos:
P(12) = 250,000*(1.02)^12 = 317,060.4
Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.
Entonces la población que se espera para el 2012 es: 317,060
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
The product of (3+2i) and a complex number is (17+7i)
The complex number is______
Answer:
The complex number is;
37 + 55i
Step-by-step explanation:
Here, we want to find the product of the two
We proceed as follows;
(3 + 2i)(17+ 7i)
= 3(17 + 7i) + 2i(17 + 7i)
= 51 + 21i + 34i + 14(i)^2
Recall; i = √(-1)
Thus, we have it that;
51 + 55i -14
= 51-14 + 55i
= 37 + 55i
After a 20% discount the phone cost is $70.40. What was the original price?
Answer:
$84.48
Step-by-step explanation:
Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48
Hope this helps!
:)
Test 645 for divisibility by 2, 3, 5, 9, and 10.
Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.
To start divide it by each of them:
59859/2=29929.5
59859/3= 19953
59859/5= 11971.8
59859/9= 6651
59859/10= 5985.9
Now look at which of the choices are whole numbers
3 and 9 are the only non decimal numbers, therefore, C would be your answer.
Step-by-step explanation:
write one eighth as a decimal
Answer:
0.125
Step-by-step explanation
one eighth = 1/8
Divide the numerator by denominator and the answer is 0.125
please help me guys I am in trouble
Answer:
16π
Step-by-step explanation:
The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:
π * 4^2 is equal to 16π
HELP ME PLEASE WILL GIVE BRAINLIEST JUST HURRY GOT UNTIL TMRW AND ITS LATE LOL
Okay
Lia and Sergio are both saving to buy a
kayak that costs $800. The table shows
Lia'ssavings perweek. Sergio saves
$24 per week. Who will be able to buy
thekayak first? How long willit take?
Answer:
Sergio will buy first
It will take 34 weeks for Sergio
and 45 weeks for Lia
Step-by-step explanation:
Given Info: Per week Sergio Saves $24
How:
divide $72 by 4 weeks to find how much Lia is earning per 1 week.
72/4= 18
So Lia is saving 18$ per week while Sergio saves $24 per week
24>18
Sergio will save more per week so he will get it first.
It will take 34 weeks for Sergio
and 45 weeks for Lia
Classify the triangle by its angle and sides
Answer:
Right Triangle
Step-by-step explanation:
It has a 90 degree angle
What is the first step in solving for w in the equation 3W + 5 = 14?
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)
you how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion
HELPPPPP AGAIN please
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
. If XZ = 7x + 1 and PZ = 4x − 1, what is XP? 11
12 19 22
Answer:
XP = 11
Step-by-step explanation:
Given that XZ = 7x + 1 and PZ = 4x − 1
From the diagram, XZ = 2PZ
7x + 1 = 2(4x-1)
7x+1 = 8x - 2
7x - 8x = -2 -1
-x = -3
x = 3
Since XP = PZ
XP = 4x - 1
XP = 4(3) - 1
XP = 12-1
XP = 11
factor x^2+64
and
factor 16x^2+49
Answer:
Step-by-step explanation:
x^2+64=(x+8i)(x-8i)
16x^2+49=(4x+7i)(4x-7i)
BASE
-10
109
Which expression is equivalent to X X
-(
WN
?
No
O
WIN
Answer:
[tex]\displaystyle x^{\frac{2}{3}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}[/tex]
Step 2: Simplify
Exponential Rule [Multiplying]: [tex]\displaystyle (x^{\frac{4}{3} + \frac{2}{3}})^{\frac{1}{3}}[/tex][Exponents] Add: [tex]\displaystyle (x^{2})^{\frac{1}{3}}[/tex]Exponential Rule [Powering]: [tex]\displaystyle x^{2 \cdot \frac{1}{3}}[/tex][Exponents] Multiply: [tex]\displaystyle x^{\frac{2}{3}}[/tex]Point O is the center of the circle.
Circle O is shown. Tangents D C and B C intersect at point C outside of the circle. Lines are drawn from points D and point B to center point O to form a quadrilateral. A line is drawn from point C to point A on the opposite side of the circle. The length of O D is 6, and the length of B C is 8. Angles D and B are right angles.
What is the perimeter of quadrilateral DOBC?
14 units
16 units
22 units
28 units
Answer:
28
Step-by-step explanation:
Answer:
its 25 yall !
Step-by-step explanation:
Find the surface area of each cube
26. A cube with each side length of 5.6 inches
a) Model this situation with a linear system:
To rent a car, a person is charged a daily rate and a fee for each kilometre driven. When Chena
rented a car for 6 days and drove 320 km, the charge was $286.00. When she rented the same car
for 10 days and drove 900 km, the charge was $605.00.
b) Determine the daily rate and the fee for each kilometre driven.
Answer:
The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
Step-by-step explanation:
Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:
286 = 6 days and 320 km
320/6 = 53,333 km
286/6 = $ 47,666
Thus, the value of 1 day and 53,333 km is $ 47,666.
605 = 10 days and 900 km
900/10 = 90 km
605/10 = $ 60.5
Thus, the value of 1 day and 90 km is $ 60.5.
90 - 53,333 = 36,666
60.5 - 47.666 = 12.833
12,833 / 36,666 = value per kilometer traveled
0.35 = value per kilometer traveled
(286 - (0.35 x 320)) / 6 = X
(286/112) / 6 = X
174/6 = X
29 = X
(605 - (0.35 x 900)) / 10 = X
(605 - 315) / 10 = X
290/10 = X
29 = X
Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!
AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!
Answer:
B) 376 units squared
Step-by-step explanation:
Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)
Btw saw your other one got deleted •_• *sigh*
Help
Will give
Brainlist
Answer
Answer:
the answer for this one is 39.2f. me being a Canadian and knowing that 0c is 32 Celsius it had to be larger and putting 4 Celsius thru a converter gives you 39.2
Step-by-step explanation:
Which value of a would make the following expression completely factored?
x²-a
A.12
B.36
C.49
D.81
Answer:
The answer is 12.
12 is not a perfect square like the others.
can anyone tell me the solution?
Answer:
[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]
Step-by-step explanation:
[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]
Add -12y to both sides:
[tex]5x+12y-69-12y=10-12y[/tex]
[tex]5x-69=-12y+10[/tex]
Add 69 to both sides:
[tex]5x-69+69=-12y+10+69[/tex]
[tex]5x=-12y+79[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]
[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]
Identity the range of the function shown in the graph.
Answer:
C) Y > 0
hope it helps uh
mark me as brainliest
Answer:
B
Step-by-step explanation:
The range is the values of y covered by the graph
The values of y go from 0 to 8 , then
range is 0 ≤ y ≤ 8
Which of the following is a foci of x^2/16-y^2/4=1
Answer:
x(8;2)
Step-by-step explanation:
i think that
Please help out with this question!
Answer:
[tex]1. \: \: a = 4[/tex]
[tex]2. \: \: y = 16[/tex]
Step-by-step explanation:
[tex]1. \: \: a + 5 = 9[/tex]
[tex]a = 9 - 5[/tex]
[tex]a = 4[/tex]
[tex]2. \: \: y−4=12[/tex]
[tex]y=12+4[/tex]
[tex]y = 16[/tex]
Hope it is helpful....need help! question on picture.
Answer:
its Positive or absolute ....
a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec
Answer:
0.075 metre
2000 mm
500 cm
0.001 gram
1.5 × 10-6 kilogram
86400 second
18000 second
Step-by-step explanation:
hope it helps
Answer:
a) 0.075 m
b) 2000 mm
c) 500 cm
d) ?
e) 0.0015 kg
f) 86400 seconds
g) 18000 seconds
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2
Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16