Answer: Add, subtract, multiply, divide
Step-by-step explanation:
Terms must be like terms in order to add or subtract. Terms do not have to be like if we are multiplying or dividing.
You cant add unlike terms when adding or subtracting, but you can use the exponent rules when multiply or dividing.
Use the original price and the markdown to find the retail price.
Original price: $30; Markdown: 36%
The retail price is $_____
Please include work.
Answer:
83
Step-by-step explanation: you divide 30 and 36% and you will get 83 hope this helped
12. Factor completely: 64x^3 + 729
Answer:
(4 x + 9) (16 x^2 - 36 x + 81)
Step-by-step explanation:
Factor the following:
64 x^3 + 729
64 x^3 + 729 = (4 x)^3 + 9^3:
(4 x)^3 + 9^3
Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):
(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)
4×9 = 36:
(4 x + 9) ((4 x)^2 - 36 x + 9^2)
Multiply each exponent in 4 x by 2:
(4 x + 9) (4^2 x^2 - 36 x + 9^2)
4^2 = 16:
(4 x + 9) (16 x^2 - 36 x + 9^2)
9^2 = 81:
Answer: (4 x + 9) (16 x^2 - 36 x + 81)
Answer:
(4x+9)(16x2−36x+81)
Step-by-step explanation:
Factor 64x3+729
64x3+729
=(4x+9)(16x2−36x+81)
Consider the equation and its solution.
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
The answer is Division property of equality
Step-by-step explanation:
Answer:
division property of equality
Step-by-step explanation:
Just took the test on edge
WILL GIVE BRAINLIEST!! PLEASE HELP!! What is the value of the expression 3.7+27 * 5/7 ?
Answer:
22.9
Explanation:
Terry is 4 feet tall, and his shadow is 3 feet long. How many feet is it from the top of Terry's head to the top of his shadow's head?.
an angle measures 38 degrees more than the measure of its supplementary angle. what is the measure of each angle?
Define Tyndall Effect.
Answer:
What’s the question?
Step-by-step explanation:
Answer:
The phenomenon by which the colloidal particles scatter light is called Tyndall effect. If light is passed through a colloid the light is scattered by the larger colloidal particles and the, beam becomes visible. This effect is called Tyndall effect.
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson. Guitar lessons have a one-time fee of $36 plus $8 for each lesson. After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :
[tex]P_1=26+10x[/tex]
Mathematical expression of guitar lesson :
[tex]P_2=36+8y[/tex]
( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]
Hence, this is the required solution.
15-7m=-5-2m solve the equation
The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? A. 4x + 2y B. 8x^2 + 2y C. 4x^2+2xy D. 8x^2+4xy
Answer:
The answer is D. 8x^2+4xyStep-by-step explanation:
We know that the expression for the perimeter is given as
P=2l+2B
now given that the value of the width is =2x
length= 4x
and the breadth=y
P=4x+2y
let us multiply both the length and the width with 2x we have
P=2x(4x+2y)
P=8x^2+4xy
the answer is
D. 8x^2+4xy
What is an equation in point-slope form of the line that
passes through (-3, -1) and has a slope of 2
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-3, -1) and slope 2
The equation is
[tex]y + 1 = 2(x + 3) [/tex]Hope this helps you
Respondan esto con todo y Procedimiento Plz me ayudaria muchisimo
Answer: I cant understand what you want think you could put it in English?
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
I believe it C
Step-by-step explanation:
Brainliest ??
Answer:
C
Step-by-step explanation:
I'd say C because:
The colors alternate between blue and red, so the next color is going to be red.At first, a vertical line was taken out, next a horizontal line was taken out, so next would be a vertical line being taken out.It's all about patterns.
2.49 Encuentre los errores en cad uno de las siguientes aseveraciones: a) las probabilidades de que un vendedor de automóviles venda 0,1,2 o 3 unidades en un dia dado de febrero son 0.19, 0.38, 0.29 y 0.15. Respectivamente b) la probabilidad de que llueva mañana es de 0.40 y la probabilidad de que no llueva es 0.52 c) las probabilidades de que una impresora cometa 0,1,2,3 o 4 o más errores al imprimir un documento son 0.19, 0.34, -0.25, 0.43 y 0.29 respectivamente. d) al sacar una carta de una baraja en un solo intento la probabilidad de seleccionar un corazón es ¼, la probabilidad deseleccionar una carta negra es ½, y la probabilidad de seleccionar una carta de corazones y negra es de 1/8
Answer:
Step-by-step explanation:
a) Si se suman las probabilidades de venta, es decir:
Probabildad de vender 0 auto ( es decir que no vendió) = 0,19
Probabildad de vender 1 auto = 0,38
Probabildad de vender 2 autos = 0,29
Probabildad de vender 3 autos =0,15
Da por resultado: 1,01
1,01 > 1
Ninguna probabilidad puede ser mayor que
b) LLover y no llover son condiciones excluyentes en relación al evento, es decir en relación a lluvia cualquier día o llueve o no llueve de tal forma
que las dos situaciones conforman el universo completo y deben sumar 1. en este caso el error s que suman 0.92 cando deberían sumar 1
c) No existen probabilidades negativas ( en este caso señalan -0,25 como una probabilidad
d) La probabilidad de sacar una carta de corazones es 1/4 (correcta pues hay la misma cantidad de carta de las cuatro viras tipo ( diamante, trebo, corazones y el otro).
La mitad de las cartas son negras, de tal modo que 1/2 es correcto valor para esta probabilidad.
La probabilidad de que sea corazones y negra s 1/4*1/2 = 1/8
Luego no hay error en esta aseveración
4 2/8 As A Improper Fraction
The answer is 17/4 feel free to mark as brainliest:)
Find the measure of ZM
the answer is
In AKLM, the measure of ZM=90°
Find the slope of the line passing through the points (-8, 2) and (-8, - 7).
slope:
a square base that covers an area of 25 ft squared what is the length of one side of the tent?
What is 75% of 30 meter
I think the answer is
22.5 meter
it is because 7.5 meter ×4=30m
so 7.5+7.5+7.5=22.5 m
Express the percent as a decimal.
30\%30%30, percent
Stuck help
what is 8+[4+(-9)] ?
Answer:
Positive 3
Step-by-step explanation:
you have to add 4 and -9 first and you get -5 then you add that to positive 8 and get 3
Which is the best estimate of the correlation coefficient for the scatter plot ?
Answer:
Option (4)
Step-by-step explanation:
Table for the points from the graph attached,
x y [tex]x^{2}[/tex] [tex]y^{2}[/tex] xy
2.2 1.8 4.84 3.24 3.96
3.2 1.8 10.24 3.24 5.76
3.6 3 12.96 9 10.8
4.8 3.5 23.04 12.25 16.8
5.2 6.2 27.04 38.44 32.24
6.4 4.5 40.96 20.25 28.8
7.5 7.8 56.25 60.84 58.5
8.5 6.2 72.25 38.44 52.7
[tex]\sum x=41.4[/tex]
[tex]\sum y=34.8[/tex]
[tex]\sum x^2=247.58[/tex]
[tex]\sum y^2=185.7[/tex]
[tex]\sum xy=209.56[/tex]
n = 8
Formula for the correlation coefficient [tex]r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[{n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}}[/tex]
[tex]r=\frac{8(209.56)-(41.4)(34.8)}{\sqrt{[{8(247.58)-(41.4)^2][8(185.7)-(34.8)^2]}}}[/tex]
r = [tex]\frac{1676.48-1440.72}{\sqrt{266.52\times 274.56} }[/tex]
r = [tex]\frac{235.76}{\sqrt{73175.73}}[/tex]
r = [tex]\frac{235.76}{270.51}[/tex]
r = 0.87
r ≈ 0.9
Therefore, Option (4) is the answer.
What is the equation of the line that passes through the point (7,2) and has a slope of 1
Answer:
y=x-5
Step-by-step explanation:
For this, use point-slope formula, which is (y-y1)=k(x-x1), in which k is slope.
Now, substitute in your values. (y-2)=1(x-7)
Then, since you got y-2=x-7, add 2 to both sides.
You get y=x-5
y = x +5 is the equation of the line that passes through the point (7,2) and has a slope of 1.
What is an equation of a line?The equation of a straight line is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
given, a line that passes through the point (7,2) and has a slope of 1
Since the Slope of the line = 1
From the slope-intercept form of the line
y = mx + c
thus, the Equation of the line
y = 1 * x + c
y = x + c
Since this line passes through coordinates (7, 2 ) this point will satisfy the equation
7 = 2 + c
c = 5
hence, the equation of a line
y = x +5
therefore, the equation of the line that passes through the point (7,2) and has a slope of 1 is y = x +5.
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write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-intercept form or using the given points in point-slope form
Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = [tex]\frac{5}{2} x + 3[/tex]
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y = [tex]\frac{5}{2} x + 3[/tex]
From the given equation; slope is [tex]\frac{5}{2}[/tex]
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = [tex]-\frac{2}{5}[/tex]
Since y= 9 and x = -7;
So;
9 = [tex]\frac{-2}{5} x (-7)[/tex] + C
9 = [tex]\frac{14}{5}[/tex] + C
C = 9 - [tex]\frac{14}{5}[/tex] = [tex]\frac{31}{5}[/tex]
Now,
y = [tex]-\frac{2}{5}[/tex]x + [tex]\frac{31}{5}[/tex]
mulitply through by 5;
5y = -2x + 31
PLEASE HELP
Solve the inequality. | 2x + 3 | < 7
please show all the work
Answer:
[tex]-5<x<2[/tex]
Step-by-step explanation:
We have the inequality:
[tex]|2x+3|<7[/tex]
Use the definition of absolute value:
[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]
Let's evaluate each case individually.
Case 1)
We have:
[tex]2x+3<7[/tex]
Subtract 3 from both sides:
[tex]2x<4[/tex]
Divide both sides by 2:
[tex]x<2\\[/tex]
Case 2)
We have:
[tex]-(2x+3)<7[/tex]
Divide both sides by -1. Since we're dividing by a negative, flip our sign:
[tex]2x+3<-7[/tex]
Subtract 3 from both sides:
[tex]2x<-10[/tex]
Divide both sides by 2:
[tex]x<-5[/tex]
So, our solutions are, from least to greatest:
[tex]\{x|-5, 2\}[/tex]
We can see that our inequality is a greater than.
Remember, when dealing with absolute value:
When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.
When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.
Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.
Our lesser solution is -5. Our greater solution is 2.
So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:
[tex]-5<x<2[/tex]
And we're done!
Suppose you deposit $275.00 in your savings account on December 31. Your bank pays 3 percent annual interest on savings accounts. If you do not deposit any more money into the account, what would be the balance on December 31 of the following year?
Answer:
275 * 0.03 = accrued interest
accrued interest + initial deposit = total after one year
Step-by-step explanation:
What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?
Answer:
y = -3x - 11
Step-by-step explanation:
Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.
Point-slope formula: y - y = m(x - x)
Plug in the slope and point
y - (-5) = -3(x - (-2))
Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.
y + 5 = -3x - 6
Subtract the 5 from both sides
y = -3x - 11
The equation of the line is y = -3x - 11
An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term?
Answer:
328
Step-by-step explanation:
[tex]\frac{a}{1-r}[/tex] is the equation for the sum of an infinite geometric series, where [tex]a[/tex] is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. [tex]\frac{209.92}{262.4} = \frac{4}{5}[/tex]
Therefore, [tex]\frac{a}{1-\frac{4}{5}} = 1640[/tex].
This simplifies to [tex]5a = 1640[/tex]
Therefore, [tex]a = 328[/tex]
a polynomial function with leading term 8x ^9 has a degree of what?
Answer:
9
Step-by-step explanation:
hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.
The degree of the given polynomial is 9
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11
Given here; a polynomial function with leading term 8x⁹
Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading term 8x⁹ is 9
Hence, The degree of the given polynomial is 9
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is 0.3 pi a rational number or a irrational number
Answer:
0.3 is a Rational Number
Step-by-step explanation: