Answer:
Ver respuesta abajo
Step-by-step explanation:
Son múltiples preguntas en un solo párrafo, y por reglas del sitio, contestaré solamente las primeras 3 preguntas. Te recomiendo para la próxima vez, postear 1 pregunta a la vez para que obtengas respuestas más rápidas y eficientes. Por lo tanto de la pregunta 4 a la 10, colocalas en post distintos cada uno.
1. Esta es una ecuación de segundo grado, por lo tanto es necesario aplicar la resolvente o una factorización.
Primero, reescribamos la ecuación:
x² - 3x + 2 = 12
x² - 3x - 10 = 0
Ahora para aplicar la factorización, debemos encontrar 2 números que al ser multiplicados den el tercer factor de la ecuación (en este caso -10), y cuando se sumen o resten los mismos números den el segundo factor (en este caso, -3).
Para obtener -10, se puede usar (-5) y 2: (-5) * 2 = -10
PAra obtener -3 entonces: (-5) + 2 = -3
Hemos encontrado los 2 números, por lo que entonces factorizamos:
(x - 5)(x + 2) = 0
x - 5 = 0
x + 2 = 0
Por lo tanto los valores de x son:
x₁ = 5; x₂ = -2
2. Tenemos la expresión Y(k) = 2k - 1 y nos piden evaluar la función para los siguientes valores de k dados:
Y(0) = 2(0) - 1 = -1
Y(3) = 2(3) - 1 = 5
Y(5) = 2(5) - 1 = 9
Y(a) = 2a - 1
Y(b) = 2b - 1
3. Para esta pregunta usamos las expresiones de Y(a) y Y(b) obtenidas en la pregunta anterior, y reemplazamos los valores dados de a y b:
a = x + h
b = x
Entonces:
Y(x+h) = 2(x+h) - 1 = 2x + 2h - 1
Y(x) = 2x - 1
Y(a) - Y(b) = (2x + 2h - 1) - (2x - 1)
Y(a) - Y(b) = 2h - 1 + 1
Y(a) - Y(b) = 2h.
Recuerda postear el resto de las preguntas en otro post y preferiblemente 1 por post.
Exitos
y = 3x + 12
when x= 4
y=3(4)+12
y=12+12
y=24
---
hope it helps
Answer:
24
Step-by-step explanation:
3 * 4 + 12
= 12 + 12
= 24
This is your answer :)
At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.
y = 9x + 50
y = 10x
What does x represent?
the number of times he opened the store
the number of hours worked per week
the total amount he earns each week
the amount of money earned per day
Answer:
The correct option is B
Step-by-step explanation:
just did the test on Ed.
Thomas's shifts vary in length. He works an 8-hour shift half of the time, a 10-hour shift a third of the time, and a 12-hour shift a sixth of the time. What percent of his workdays does Thomas work more than 8 hours? Explain.
Answer:
50% of the time
by adding the number of times he does a 10-hour shift and the number of times he does a 12-hour shift, we get 1/2 which is equal to 50%
Step-by-step explanation:
the shifts that are greater than 8 are the 10 and 12 hours shifts
he does the 10 hour shift 1/3 of the time and the 12 hour shift 1/6 of the time
add both fractions
[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{6}[/tex]
[tex]\frac{2+1}{6}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
to convert to percentage, multiply 1/2 by 100
1/2 x 100 = 50%
An arithmetic sequence a starts 2, 5, . .
1. Use your definition to make a table of values for a (n) and find a (6).
na(n)
1
2
3
4
5
6
Answer:
Tn = 3n-1
T6 = 17
Step-by-step explanation:
Given the arithmetic sequence;
2, 5...
first term a = 2
Common difference d = 5-2 = 3
nth term of an AP is expressed as Tn = a + (n-1)d
Tn = 2 + (n-1)(3)
Tn = 2 + 3n-3
Tn = 3n-1
Get the 6th term
T6 = 3(6)-1
T6 = 18-1
T6 = 17
Hence the 6th term of the sequence is 17
There are 12 colored pencils in a jar, and 3 of them are red. What percentage of colored pencils are red
Answer:
25% are red
Step-by-step explanation:
The fraction of the pencils that are red is
3/12 = 1/4
Changing to decimal form
.25
Multiply by 100 to get a percent
.25 * 100
25%
Twenty seven decreased by three times a number is the same as 7 times the sum of the number plus 1. What is the number?
Answer:
2.6
Step-by-step explanation:
Let the number be x
27-3x= 7x+1
26=10x
x=2.6
This time, if you get explaination, i will give brainliest to whoever is the first to get this question right -> What is 5^3
Answer:
5^3 = 125
Step-by-step explanation:
The caret(^) is a symbol used to indicate exponentiation. So, you simplify 5 raised to the 3rd power, which is 125.
Find the critical value zc necessary to form a confidence interval at the level of confidence shown below. c=0.80
Answer:
1.28
Step-by-step explanation:
Given a confidence (c) = 0.80
α = 1 - c = 1 - 0.8 = 0.2
α/2 = 0.2/2 = 0.1
From the normal distribution table, The critical value necessary to form a confidence interval is gotten by getting the z value of α/2, which is the same as that of 0.4 (0.5 - 0.1). The z value of α/2 is:
[tex]z_\frac{\alpha}{2} =z_{0.01}=1.28[/tex]
Poppy has one bag of beads. She is going to make three difference necklaces.
For the first necklace, she needs 3/8 of a bag of beads. For the second, she
needs 1/8 of a bag of beads. For the third, she needs 5/8 of a bag. What
fraction of a bag of beads does she need? Does she have enough? Explain.
Answer:
9/8 of a bag
she doesn't have enough beads.
Step-by-step explanation:
Bag of bead poppy has = 1
Bag of bead needed for necklace 1 = 3/8 of a bag
Bag of bead needed for necklace 2 = 1/8 of a bag
Bag of bead needed for necklace 3 = 5/8 of a bag
Total bag of beads needed = 3/8 + 1/8 + 5/8
= (3+1+5)/8
= 9/8
She needs 9/8 of a bag of bead
9/8 = 1 1/8
Therefore, she doesn't have enough beads.
$3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?
Answer:
Hence, the total amount of money that the investor would have after 6 years will be $ 536.04 .
Step-by-step explanation
Answer:
Interest = $3573.048
Step-by-step explanation:
Given: $3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?
The formula to compound interest is:
I = P(1 + R)^T
First, put in the terms:
I = $3000(1 + 6%)^3
Then calculate:
I = $3000(1 + [tex]\frac{6}{100}[/tex])^3
I = $3000(1 + 0.06)^3
I = $3000(1.06)^3, 1.06^3 = 1.191016
I = $3000 x 1.191016
I = $3573.048
Asphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
Answer:
The last answer should be correct.
Step-by-step explanation:
PLZ HELP ME
In which table does y vary directly with x?
Answer:
column D
Step-by-step explanation:
may the answers right
I NEED THIS DONE TODAY WHOEVER GETS THIS CORRECTS GETS BRAINLIEST!!!!
PLZZZ HELPP MEEE!!!!!
Answer:
A
fejeiniwbStep-by-step explanation:
my Feb H2 hd ECU TF2 ACTH GVC ect 5th of T2 te BG f
Answer:
A. 5.25 miles or 5 1/4 miles
B. 4.75 miles or 4 3/4 miles
C. 5.75 miles or 5 3/4 miles
Step-by-step explanation:
I counted every small line and then multiplied by 1/4
A water hose discharge water at a rate of 180 gallons for every 12 minutes. Which graph has a slope that best represents this rate?
Answer:
D
Step-by-step explanation:
I guess because the line has to get to 12 minutes by 180 on the y axis so the only possible one for that to happen with is D
Answer:
graph D
Step-by-step explanation:
it shows 90 gallons in 6 minutes- which is the same rate as 180 gallons in 12 minutes
(15 Points!!!) What is the length of side A in centimetres?
A. 1/6
B. 1/2
C. 2
D. 6
The length of side A in centimeters is 6cm
D. 6
Pleaseeeeee helpppppp fasttttttt 11 pointssss
Answer:
x = 9
m∠1 = m∠2 = 54°
Step-by-step explanation:
Two lines r and s are the parallel lines and a transversal line is intersecting these lines at two distinct points.
a). ∠1 ≅ ∠2 [Corresponding angles]
Therefore, m∠1 = m∠2
(63 - x)° = (72 - 2x)°
2x - x = 72 - 63
x = 9
b). m∠1 = (63 - x)°
= 63 - 9
= 54°
m∠2 = (72 - 2x)°
= 72 - 18
= 54°
Find X in circle below
Answer:
This is quite tough
it's hard
A line passes through (2,4) and (-2,2)
a)Find the value of y if (6,y) lies on the
plane
b)Does this line pass through the point of
origin?
c)Does this tine intersect with the line
V=-X+32
d)lf your answer was yes in b, in which
quadrant did they intersect?
Answer:
a) The value of [tex]y[/tex] is 6.
b) This line does not pass through the point of origin.
c) [tex]y = \frac{1}{2}\cdot x + 3[/tex] intersects with [tex]y = -x+32[/tex].
d) Both [tex]y = \frac{1}{2}\cdot x + 3[/tex] and [tex]y = -x+32[/tex] intersect in the first quadrant.
Step-by-step explanation:
a) By Analytical Geometry, we know that an equation of the line can be found by knowing the coordinates of two distinct points on the plane. The equation of the line is defined by this formula:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independient variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - x-Intercept.
To determine the slope and x-intercept of the equation of the line, we have to solve the following system of linear equations:
[tex]m\cdot x_{1}+b = y_{1}[/tex] (2)
[tex]m\cdot x_{2}+b = y_{2}[/tex] (3)
If we know that [tex](x_{1}, y_{1} ) = (2,4)[/tex] and [tex](x_{2}, y_{2}) = (-2, 2)[/tex], then the solution of the system is:
[tex]m = \frac{1}{2}[/tex], [tex]b = 3[/tex]
Then, the equation of the line is [tex]y = \frac{1}{2}\cdot x + 3[/tex]. If we know that [tex]x = 6[/tex], then the value of [tex]y[/tex] is:
[tex]y = 6[/tex]
The value of [tex]y[/tex] is 6.
b) If this line passes through the point of origin, then the value of [tex]y[/tex] must be zero for [tex]x = 0[/tex]. If we know that [tex]y = \frac{1}{2}\cdot x + 3[/tex] and [tex]x = 0[/tex], then the value of [tex]y[/tex] is:
[tex]y = 3[/tex]
The line does not pass through the point of origin since x-intercept is not zero.
c) A system of two linear equations always has an unique solution if and only if slopes and x-intercepts are different to each other. This condition is satisfied by [tex]y = -x+32[/tex], so we conclude that both lines intersect each other.
d) (Note: Question was incorrectly written. Correct form is: If your answer was yes in c, in which quadrant did they intersect?)
First, we solve the following system of linear equations:
[tex]\frac{1}{2}\cdot x -y = -3[/tex] (4)
[tex]-x-y = -32[/tex] (5)
The solution of this system is [tex](x,y) = (19.333, 12,667)[/tex], which means that both lines intersects each other in the first quadrant.
Imperialism can be defined as:
A. the adoption of a new government with a Prime
Minister.
B. a system of humanitarian efforts to support a country.
C. a policy of extending a country's power and influence
through diplomacy or military force.
Write a polynomial with 5 terms in standard form.
Identify the leading coefficient and the degree of the polynomial and name the polynomial.?
Answer:
Step-by-step explanation:
5x⁴ - 2x³ + 12x² + 24x - 26
Degree = 4
Leading term = 5x⁴
Leading coefficient = 5
barrys moutain bike weighs 6 pounds more than andys bike. if there bikes weigh 42 pounds altogether how much does barrys bike weigh.
Answer:
24lbs
....................
Answer:
24 pounds
Step-by-step explanation:
ill mark brainlisr pls help
Answer:
$12.00
Step-by-step explanation:
6% off $199 =
6% × $199 = $11.94
$11.94 is rounded or estimated to $12.00
Approximate the value 36 divided by pi
4. Which of these answers are obviously incorrect?
Use estimates to identify them. Show how you estimated the answers.
a) 37 x 21 = 777
b) 6 091 = 33 = 1 845
c) (816 +214) = (103 + 419) = 1,97
d) 11 X 603-3 x 240 = 519
Answer:
b
Step-by-step explanation:
it's obvious that 33 can't equal two other numbers.
A wall is 15 ft. High and 10 ft. From a house. Find the length of the shortest ladder which will just touch the top of the wall and reach a window 20.5 ft. Above the ground.
Answer:
the length of the shortest ladder is 11.41 feet
Step-by-step explanation:
The computation of the length of the shortest ladder is shown below:
AB^2 = AC^2 + BC^2
AB^2= (10)^2 + (5.5)^2
AB^2= 100 + 30.25
AB^2 = 130.25
AB = 11.41 feet
hence, the length of the shortest ladder is 11.41 feet
Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A. The area of square B is 70cm2 greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant fi
Answer:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
The area of a square is the square of its side lengths
The area of square B is 116 centimeter square
Let the side length of square A be (a), and the side length of square B be (b)
So, we have:
[tex]\mathbf{A_a = a^2}[/tex]
[tex]\mathbf{A_b = b^2}[/tex]
From the question, we have:
[tex]\mathbf{A_b = 70 + a^2}[/tex]
[tex]\mathbf{b = 4 + a}[/tex]
Take square of both sides
[tex]\mathbf{b^2 = (4 + a)^2}[/tex]
[tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex]
Substitute [tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex] in [tex]\mathbf{A_b = b^2}[/tex]
[tex]\mathbf{A_b = 16 + 8a+ a^2}[/tex]
So, we have:
[tex]\mathbf{16 + 8a+ a^2 = 70 + a^2}[/tex]
Subtract a^2 from both sides
[tex]\mathbf{16 + 8a = 70}\\[/tex]
Subtract 16 from both sides
[tex]\mathbf{8a = 54}[/tex]
Divide both sides by 8
[tex]\mathbf{a = 6.75}[/tex]
Recall that:
[tex]\mathbf{A_b = 70 + a^2}[/tex]
So, we have:
[tex]\mathbf{A_b = 70 + 6.75^2}[/tex]
[tex]\mathbf{A_b = 115.5625}[/tex]
Approximate
[tex]\mathbf{A_b = 116}[/tex]
Hence, the area of square B is 116 centimeter square
Read more about areas at:
https://brainly.com/question/1658516
The first term in a sequence is 13. The term to term rule is "take away 5" write an expression in terms of n , for the nth term of the sequence
9514 1404 393
Answer:
an = 13 -5(n -1)
Step-by-step explanation:
The "take away 5" rule means the common difference between terms is d=-5. For first term a1=13, the n-th term is ...
an = a1 +d(n -1)
an = 13 -5(n -1)
Elsa has two coupons for a jacket coupon a: 45% off a $73 jacket coupon B: $30 rebate off $73 jacket which coupon has a lower price
Answer: 45% off a $73 jacket coupon
Step-by-step explanation:If you multiply 45% by 73 (.45 x 73) you get $32.85.. which means that is how much money would be reduced from the original price. If you have have a $30 rebate off a $73 jacket, you would be paying a higher price if you used the rebate instead of the coupon
can someone pls help i will mark u brainliest!? :)
Answer:
28.5
Step-by-step explanation:
Plzz mark brainlies thanks!!
The bar graph shows the recommended number of hours of sleep for each age group.
How many hours of sleep are recommended for elementary-age children?
A. exactly 9 hours
B. exactly 10 hours
C. about 10 hours
D. about 12 hours
Answer:
Step-by-step explanation:
c