Resolviendo una ecuación cuadratica, veremos que el número puede ser -2 o 1/8.
¿Como transformar una oración en una ecuación?
Partimos de la oración matematica:
"Ocho veces un número es restado de dos veces su recíproco. El resultado es 15. Halla el número."
Primero vamos a definir al número como x.
El reciproco de x es la inversa, es decir, 1/x.
Entonces, a 2 veces ek reciproco de x, le restamos 8 veces x, y eso va a ser igual que 15.
2/x - 8*x = 15
Ahora podemos resolver esto para x, primero multiplicamos a ambos lados por x:
2 - 8x^2 = 15x
-8x^2 - 15x + 2 = 0
Esto es una ecuación cuadratica, las soluciones van a ser:
[tex]x = \frac{-(-15)\pm \sqrt{(-15)^2 - 4*(-8)*2} }{2*(-8)} \\\\x = \frac{15\pm 17}{-16}[/tex]
Entonces tenemos dos soluciones:
x = (15 + 17)/-16 = -2
x = (15 - 17)/(-16) = 1/8
El número puede ser -2 o 1/8.
Sí quieres aprender más sobre ecuaciones cuadraticas, puedes leer:
https://brainly.com/question/14013122
Numbers Write the mixed number as a fraction.
every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Which customer will e the first to get both?
The company also has plans to open a third obstacle course, the gridrion where the first three checkpoints will have coordinates A"(0,-5)B"(9,-5), and C"(4,-5)
What relationship could this location have to the previous locations?
The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Let us assume that the previous locations are at A(0, 5), B(9, 5), and C(4, 5). Since the new coordinates are A"(0,-5)B"(9,-5), and C"(4,-5), hence:
The relationship is given by:
(x, y) ⇒ (x, -y)
The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)
Find out more on transformation at: https://brainly.com/question/1620969
Please help!
Find the average rate of change of g(x)=2x2-8x from x=2 to x=5
Answer:
The average rate of change is 20.
Step-by-step explanation:
To find the answer, plug in the 2 and 5 for x.
g(2) = 2(2)^2 - 8(2)
g(2) = 16 - 16
g(2) = 0
g(5) = 2(5)^2 - 8(5)
g(5) = 100 - 40
g(5) = 60
g(5)-g(2)/5-2 = the average rate of change
60/3=20
Which is the volume of the solid? The solid is made up of 2 cuboids. First cuboid has length as 4 unit cubes, height as 1 unit cubes and width as 2 unit cubes. Second cuboid has length as 1 unit cube, height as 3 unit cubes and width as 2 unit cubes.
A. 14 cubic units
B. 16 cubic units
C. 21 cubic units
D. 35 cubic units
Answer:
14 cubic units
Step-by-step explanation:
The Formula for Volume is
V = L x W x H
Since there are 2, you need to add the two totals together.
Cubic one:
4 x 1 x 2 = 8 (it also doesn't matter what order you put your numbers in, you will still get the same outcome. Its called the commutative property of multiplication)
Cubic Two:
1 x 3 x 2 = 6
Now just add the totals together:
6 + 8 = 14
Here, we have to find the volume of the solid which is made up of two cuboid. We know that the volume of cuboid is given by:
V = l × w × hThe volume of the solid will be equal to the sum of volume of given two cuboid
For 1st cuboid :
l = 4 unit h = 1 unit w = 2 unitTherefore, Volume:
➝ V = l × w × h
➝ V = 4 × 2 × 1
➝ V = 8 unit³
For 2nd cuboid:
l = 1 unitw = 2 unitsh = 3 unitsTherefore, Volume:
➝ V = l × w × h
➝ V = 1 × 2 × 3
➝ V = 6 unit ³
Now, Volume of solid :
ㅤㅤㅤ➙ sum of V of cuboid
ㅤㅤㅤ➙ 8 + 6
ㅤㅤㅤ➙ 14 unit ³
What is the area of the rectangle in square units? Explain how you found your answer.
Answer:
Area of rectangle is L*B
Lm *Bm
L*Bm²
Hcf of 84 and 49 I'm so lazy
Answer:
7HCF of 49 and 84 is 7.
Step-by-step explanation:
mark me brainliest
Why use Elimination of unknowns instead of Cramer’s rules?
Step by step explanation:
Cramer's rule is used to solve a system of linear equations with n equations in n variables.The basis of this method is matrices and determinants, so we need to understand these two concepts first in order to be able to apply Cramer's Rule in finding solutions to a system of linear equations.
sorry if wrong
I hope this helps
Consider a student loan of 17,500 at a apr of 12% for 15 years
Answer: After 15years have passed, the loan will be at a total of $49K, which is 2.8 times the original price of the loan.
Step-by-step explanation: The first step in "considering" the price of a loan after a certain number of years is to multiply the original price of the loan by the Annual Percentage Rate (APR), and then multiply that number by the number of years that the student loan is growing. This gives a number that we then need to add to the original price of the loan, to give us the final price of the new loan.
In this problem the original price of the loan is $17,500, and the APR is 12%, which is equal to (0.12). We are trying to find the price of the loan after 15 years, which gives us the following equations.
(17,500) (0.12) = 2,100
(2,100) (15) = 31,500
17,500 + 31,500 = 49,000
49,000 ÷ 17,500 = 2.8 times the original
In this problem, multiplying the original price of $17,500 by the APR equals $2,100. Multiplying $2,100 by 15 years equals $31,500. Adding $31,500 to the original price of $17,500 equals the final price of $49,000.
help please!!!!! ASAPPPPPPPPPP
An experiment consists of drawing a single card from a standard deck of 52 cards. Event A is "drawing a heart and event B is "drawing a face card
(jack, queen, or king)."
Are events A and B dependent or independent? Why?
Select the option that correctly answers both questions.
O Events A and B are dependent, because P(A) + P(BLA).
O Events A and B are independent, because P(B) = P(B|A) -
O Events A and B are dependent, because P(B) P(BA).
O Events A and B are independent, because P(A) = P(BA) = 4
Answer:
I just took workbook 26.2 and the answer is
ANSWER: events a and b are independent, because p(b) = p(b | a) = 3/13
Step-by-step explanation:
Anthony bought a Bulls jersey that was originally priced $80 but was on sale for a discount of 50% off. What was the sale price of the jersey
Answer:
40 dollar
Step-by-step explanation:
half of 80 is 40
Answer:
40$
Step-by-step explanation:
sale price(S.P.)=discount% of M.P.(marked price)
S.P.=50% of 80$
S.P=50/100*80$
Hence,S.P.(selling price)=0.5*80$=40$
Given the universal set U consisting of all integers between and including 1 and 20, and let the set A consist of all of the powers of 2 (integers of the form 2n where n is a whole number) within the universal set. Find the complement of the set A. Write your answer in proper set notation, for example {1,2,3,4,5,6}.
Answer:
[tex]\begin{aligned}\lbrace & \; 3,\, 5,\, 6,\, 7,\, 9,\, 10, \\ &\; 11,\, 12,\, 13,\, 14,\, 15,\, 17, \\ &\; 18,\, 19,\, 20\rbrace\end{aligned}[/tex].
Step-by-step explanation:
The integer powers of [tex]2[/tex] between [tex]1[/tex] and [tex]20[/tex] are:
[tex]2^{0} = 1[/tex].[tex]2^{1} = 2[/tex].[tex]2^{2} = 4[/tex].[tex]2^{3} = 8[/tex].[tex]2^{4} = 16[/tex].Thus, [tex]A = \lbrace 1,\, 2,\, 4,\, 8,\, 16 \rbrace[/tex].
The complement of set [tex]A[/tex] (denoted as [tex]A^{C}[/tex]) includes all elements of the universal set [tex]U[/tex] that are not in set [tex]A\![/tex].
For example, the element [tex]1[/tex] is in [tex]U[/tex] and is also in [tex]A[/tex]. Thus, [tex]1[/tex] isn't in [tex]A^{C}[/tex].
The element [tex]3[/tex] is in [tex]U[/tex] and isn't in [tex]A[/tex]. Thus, [tex]3[/tex] is in [tex]A^{C}[/tex].
Repeat this decision process for each element of [tex]U[/tex] to enumerate [tex]A^{C}[/tex]:
[tex]\lbrace 3,\, 5,\, 6,\, 7,\, 9,\, 10, \, 11,\, 12,\, 13,\, 14,\, 15,\, 17, \, 18,\, 19,\, 20\rbrace[/tex].
Fatima has some pens
she gives 3/10 of her pens to her brother
she gives her brother 12 pens
how many pens is she left with?
Show your working
Answer:
28
Step-by-step explanation:
3/10 x X= 12
X=12/(3/10)
X=40 she has 40 pens altogether then she gave 12 to her brother so 40-12=28
Simplify
Find the answer
Answer:
b³
Step-by-step explanation:
The division symbol between the two terms represents a "subtraction symbol", meaning you have to subtract the exponents like this:
[tex]b^5 - b^2[/tex] [tex]b^5^-^2[/tex] [tex]b^3[/tex]Thus, the answer is b³
On a piece of paper graph this system equation y=x-2 y= x2-6x+8
Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.
Which statement is true for log3(x+1)= 2?
Answer:
og₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26
Step-by-step explanation:
I really hope this helps
Eloise needs 358 yards of fabric to make a costume
Answer:
So what do you need me to help you with because in a little new to this kind of thing
segment MN is shown. Point M is located at (7,6). Point N is located at (7,-4) What is the midpoint segment of MN
Answer:
The midpoint of MN is (7,1)
Add the x coordinates 7+7=14 then you divide that by 2 giving you 7.
Then you add the y coordinates together 6+(-4)=2 then divide by 2 and that gives you 1. Therefore the answer is (7,1)
Find the missing value to the nearest hundredth. cos (______) = 3/7
Answer:
64.62
Step-by-step explanation:
[tex]cos(x)^{-1} = \frac{3}{7}[/tex]
choose the sentence that complete the fact family 5×6=30 30÷6=5 6×5=30 which one is correct a 30÷5=6 b 30÷3 =10 c 6÷2=3 d 30÷15=2 is it abc or d
Answer:
B
Step-by-step explanation: its B. because 2 means B in abc so yes
New data collected on roller coasters, comparing height of the initial drop to
the speed of the coaster, found that the regression line equation is actually y 0.502x +12.250.
The regression line equation y = 0.502x +12.250 is a linear regression
The predicted speed at a drop of 100 feet is 62.45The predicted speed at a drop of 500 feet is 263.25It is unlikely that the speed of the roller coaster would reach 263.25The predicted speed at a drop of 100 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 100 for x
y = 0.502 * 100 +12.250
Evaluate the sum
y = 62.45
The predicted speed at a drop of 500 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 500 for x
y = 0.502 * 500 +12.250
Evaluate the sum
y = 263.25
It is unlikely that the speed of the roller coaster would reach 263.25
Read more about regression line equations at:
https://brainly.com/question/6774275
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at
random from the bag.
What is the probability that the marble drawn will not be blue?
A. 2/6
B.3/4
C.7/6
D.7/8
Answer:
7/9
Step-by-step explanation:
If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.
The probability that the marble will not be blue is 28/36. This can be simplified to 7/9
Hope this helps!
=
For the function f(x) = x2 – 6, find the equation of the tangent line at
X = -1.
Answer:
[tex]y = - 2x - 7[/tex]
Step-by-step explanation:
One way is to differentiate the function
[tex] \frac{d}{dx} {x}^{2} - \frac{d}{dx} 6[/tex]
Use Power Rule
[tex]2x - 0[/tex]
[tex]2x[/tex]
P
[tex] - 2[/tex]
Plug in -1 so we get
That gives us the slope of the tangent line. we must find the point it passes through.
[tex]( - 1) {}^{2} - 6 = - 5[/tex]
So it have a slope of -2 and passes through (-1,-5)
So we use point slope form
[tex]y + 5 = - 2(x + 1)[/tex]
[tex]y = - 2x - 7[/tex]
Alex wishes to have R30000.00 available to buy a car in four years' time. The bank pays 9.75%.interest per year, compounded semi-anmually. How much should he invest in a savings account now so that he will be able to do this?
what is bird flu? when was it first detected among human?
To be eligible for a program, a person must make a salary of more than $32,000 per year or less
than $10,000 per year. What is this in monthly salary?
Answer:
Less than $833.33 per month or greater than $2666.67
Step-by-step explanation:
→ Divide both figures by 12
32000 ÷ 12 = 2666.67
10000 ÷ 12 = 833.33
Each week Raisa earns $5.25 for doing chores. After saving money for 12 weeks, Raisa spends $13.45. How much money does Raisa have left?
Answer:
$49.55
Step-by-step explanation:
She earns $5.25 every week for 12 weeks, so we multiply her weekly income by 12.
$5.25 * 12 = $63.00
Then she spends $13.45, so we deduct that from her earnings.
$63.00 - $5.25 = $49.55
That shows us that she has $49.55 left.
PLEASE HELP URGENT!!! Cannot figure this out, due tonight.
Answer:
f(x+h) = (2x² -x +2) +4xh -h +2h²(f(x+h) -f(x))/h = 4x -1 +2hStep-by-step explanation:
Like a lot of algebraic manipulation associated with average rate of change, it is not difficult, but it can be tedious.
a)[tex]f(x+h)=2(x+h)^2-(x+h) +2 = 2(x^2 +2xh +h^2)-x -h +2\\\\\boxed{f(x+h)=2x^2-x+2+4xh-h+2h^2}[/tex]
__
b)Then the difference quotient is ...
[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(2x^2-x+2)+4xh-h+2h^2-(2x^2-x+2)}{h}\\\\=\dfrac{4xh-h+2h^2}{h}\\\\\boxed{\dfrac{f(x+h)-f(x)}{h}=4x-1+2h}[/tex]
algebra work need help
please show working
Expand the left side:
(3x + 2) (5x + 1) = 15x² + 10x + 3x + 2 = 15x² + 13x + 2
Then a = 15 and b = 13, so a - b = 2.
NO LINKS!!! Part 6 Please help me with this problem
Answer:
14.93
Step-by-step explanation:
tan x = 4/15
tan x = 0.2666666667
x = inv tan 0.2666666667
x = 14.9314171799
x = 14.93
Hope this helps :)
Answer:
14.93°
step-by-step explanation:
Find the distance, (opposite side) above the basketball player:
distance: 10 ft - 6 ft = 4 ft
Given the distance(adjacent side) from the pole to player:
distance = 15 ft
Using tan rule:
[tex]\rightarrow \sf tan(?) = \dfrac{opposite }{adjacent}[/tex]
[tex]\rightarrow \sf tan(?) = \dfrac{4}{15}[/tex]
[tex]\rightarrow \sf ? = tan^{-1}(\dfrac{4}{15} )[/tex]
[tex]\rightarrow \sf ? = 14.93^{\circ \:}[/tex]