Answer:
[tex]x=0\\y=2[/tex]
Step-by-step explanation:
El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.
Nuestras ecuaciones son:
[tex]-x+3y=6\\x+y=2[/tex]
En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.
Al sumarlas tenemos que:
[tex]4y=8\\y=2[/tex]
Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.
[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]
Por lo tanto, x = 0 y y = 2
(Please help!) Find the horizontal asymptote of f(x)=-2x^2+3x+6/x^2+1
Answer:
[tex]\large \boxed{\sf \ \ y=-2 \ \ }[/tex]
Step-by-step explanation:
Hello,
To guess the end behaviours when x tends to [tex]\infty[/tex] you only take into account the highest terms of polynomial expressions.
So the expression will be equivalent to
[tex]\dfrac{-2x^2}{x^2}=-2[/tex]
In other words we can say
[tex]\displaystyle \lim_{x\rightarrow+\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow+\infty} \dfrac{-2x^2}{x^2}=-2\\\\\displaystyle \lim_{x\rightarrow-\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow-\infty} \dfrac{-2x^2}{x^2}=-2\\\\[/tex]
So, the correct answer is y = -2
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
☆*☆=3x, if x is even and negative OR ☆*☆=4x, if x is odd. Following the rule above, what is the value of ☆ - 23 ☆?
A. 92
B. -92
C. 529
D. -529
Answer:
okay... Thanks have a great day!
PLEASE HELP! Thank you!!!
Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements?
A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4
The Answer is A.)
A picture of my answer
Solve the equation and show the solution set on a number line: |x+5|=x+5
Answer: x ≥ -5
Step-by-step explanation:
First, let's see how the function f(x) = IxI works:
if x ≥ 0, IxI = x
if x ≤ 0, IxI = -x
Notice that for 0, I0I = 0.
Ok, we want that:
|x+5| = x+5
Notice that this is equivalent to:
IxI = x
This means that |x+5| = x+5 is only true when:
(x + 5) ≥ 0
from this we can find the possible values of x:
we can subtract 5 to both sides and get:
(x + 5) -5 ≥ 0 - 5
x ≥ -5
So the graph in the number line will be a black dot in x = -5, and all the right region shaded.
something like:
-7__-6__-5__-4__-3__-2__-1__0__1__2__3__4__ ...
The box plot shows the total amount of time, in minutes, the students of a class spend studying each day: A box plot is titled Daily Study Time and labeled Time (min). The left most point on the number line is 40 and the right most point is 120. The box is labeled 57 on the left edge and 112 on the right edge. A vertical line is drawn inside the rectangle at the point 88. The whiskers are labeled as 43 and 116. What information is provided by the box plot? The lower quartile for the data The number of students who provided information The mean for the data The number of students who studied for more than 112.5 minutes
Answer:
Step-by-step explanation:
Hello!
The box plot is a graph that shows the summary of a data set.
If for example the graphic is on the side:
Box
The left limit of the box is determined by the first quantile of the data set Q₁= 57
The right limit of the box is determined by the third quantile Q₃= 112
The vertical line inside the box represents the second quantile or median Me= 88
Depending on of the symmetry of the distribution you may find it in the middle of the box (symmetrical distribution), closer to the left limit (right skewed) or closer to the right limit of the box (left skewed)
Whiskers
The whiskers of the graphic are a line between the first quantile and the minimum value and the third quantile and the maximum value.
Left whisker goes from Q₁ to the minimum value min= 40
Right whisker goes from Q₃ to the maximum value max= 120
I hope this helps!
Answer:
for the people who don't understand, its A
Step-by-step explanation:
Suppose you are designing a cardboard box that must have a volume of cubic feet. The cost of the cardboard is $ per square foot. What is the most economical design for the box (one that minimizes the cost), and how much will the material in each box cost?
Answer:
hello your question lacks some information below is the complete question
Suppose you are designing a cardboard box that must have a volume of 27 cubic feet. The cost of the cardboard is $0.15 per square foot. What is the most economical design for the box (one that minimizes the cost), and how much will the material in each box cost?
Answer : Box design , $8.1 ( cost of material in each box)
Step-by-step explanation:
Volume of cardboard box = 27 cubic feet
cost of cardboard = $0.15 square feet
i) The most economical design for the box would be Designing a square box because the dimensions of the box would be [tex]\sqrt[3]{27}[/tex] = 3 ft
ii) The cost of the material for each box can be calculated as
= surfaces * surface area * cost per square foot
= 6 * 3^2 * $0.15
= $8.1
My initial deposit is $100. Every year my account total increases by 5% What is the total percent increase after 5 years?
Each year, your account is multiplied by 1.05 (5% increase). Thus, after 5 years, your account would have been multiplied by that value 5 times.
[tex](1.05)^5=1.27628...[/tex]
Thus, the total percent increase would have been 27.6% (rounded to the nearest tenths).
What are the measures of angles M and N?
mM = 61° and mN = 113
mM = 67 and mN= 119
mM = 113 and mN = 61
mM = 119 and mN = 67
Answer:
mM = 113 and mN = 61
Step-by-step explanation:
In a Cyclic quadrilateral, the rule states that:
The sum opposite interior angles is equal to 180°
In the above diagram, we have cyclic quadrilateral KLMN
According to the rule stated above:
Angle K is Opposite to Angle M
So, Angle K + Angle M = 180°
Angle K = 67°
67° + Angle M = 180°
Angle M = 180° - 67°
Angle M = 113°
Angle L is Opposite to Angle N
so Angle L + Angle N = 180°
Angle L is given as = 119°
119° + Angle N = 180°
Angle N = 180° - 119°
Angle N = 61°
Therefore, Angle M = 113° and Angle N = 61°
The following is the student's grades for a certain class
(left : grades, right : frequency)
determine :
a.) how many students have grades that are above than 73,5
b) how many students have grades that are below 75
Answer:
a) 20 students
b) 20 students
Step-by-step explanation:
a) From the given frequency table, we have to check the number of students that scored above 73.5 and add them up.
Therefore, the number of students that have grades above 73.5 are:
14 + 4 + 2 = 20 students
b) 75 falls in between 74 - 76 and we do not have the individual frequencies of the grades (74, 75, 76).
However, we can use the data we have from the table to make an assumption.
The number of students that have grades below 75 will be:
13 + 5 + 2 = 20 students
Please answer this in two minutes
Answer:
x = 5.7 units
Step-by-step explanation:
By applying Sine rule is the triangle XYZ,
[tex]\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}[/tex]
[tex]\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}[/tex]
[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}[/tex]
[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}[/tex]
[tex]x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}[/tex]
x = 5.69
x ≈ 5.7 units
11. Which of the following lines is perpendicular to the line 3x-9y = 17?
A) 12x + y = 4
B) 9x - 3y = 11
C) 6x + 2y = 8
D) 3x - y = 5
Step-by-step explanation:
When using the equation of a line, one calculates the value of
y
in terms of
x
, say
y
=
m
x
+
c
, then
m
is the slope of the line and
c
is its intercept on
y
-axis.
As
3
x
−
9
y
=
15
can be written as
3
x
−
15
=
9
y
or
y
=
3
9
x
−
15
9
or
y
=
1
3
x
−
5
3
Hence slope of
3
x
−
9
y
=
15
is
1
3
Product of slopes of two perpendicular lines is
−
1
Hence, the slope of the line that is perpendicular to the line
3
x
−
9
y
=
15
is
−
1
1
3
=
−
1
×
3
1
=
−
3
graph{(3x-9y-15)(3x+y+5)=0 [-10, 10, -7.04, 2.96]}
Instructions: Find the measure of the indicated angle to the
nearest degree
Answer:
See below.
Step-by-step explanation:
We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.
Recall that sine is the ratio of the opposite to the hypotenuse:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in the numbers. The opposite is 20 and the hypotenuse is 55.
[tex]\sin(\theta)=20/55[/tex]
Solve for theta (use a calculator):
[tex]\sin(\theta)=20/55\\\theta=\arcsin(4/11)\\\theta\approx21.23\approx21\textdegree[/tex]
Find the surface area of the right rectangular prism shown below. units²
Answer:
67 units^2
Step-by-step explanation:
The surface area of the prism is found by
SA = 2 ( lw+lh + wh)
= 2 ( 5*1.5+ 4*1.5 + 5*4)
= 2 ( 7.5+6+20)
= 2 (33.5)
= 67
Answer:
67units²
Step-by-step explanation:
factor completely
1 + 12x + 36x^2 =_____
Answer:
(6x + 1)^2.
Step-by-step explanation:
1 + 12x + 36x^2
= 36x^2 + 12x + 1
= (6x + 1)(6x + 1)
= (6x + 1)^2.
Hope this helps!
Answer:
[tex](6x+1)^2[/tex]
Step-by-step explanation:
How can 2182 be written as the sum of four consecutive whole numbers?
Answer:
544 + 545 + 546 + 547
explanation: if the numbers are consecutive whole numbers then it would be near the ¼ of the given number
Dave, Kurt, and Chris buy 3 different shirts. In how many selections can they distribute the shirts equally among themselves?
Answer:
Hence the number of ways they can distribute the shirt among themselves is 6 waysStep-by-step explanation:
This problem can be solved by applying the permutation strategy since it has to do with the number of ways of selection
Given
Number of items= 3
Therefore 3!= 3*2*1= 6
Hence the number of ways they can distribute the shirt among themselves is 6 ways
Complete the steps used to slove a system of liner equations by substituting the value of y into one of the original equations to find the value of x. What is the solution?
Answer:
Solve one of the equations for y, take that answer and plug into the second equation in place of y. Then solve for x.
Step-by-step explanation:
Need equations if you want actual answer
the legnth of rectangular sheet decreases by 34.5 cm its width decreases proportionally that is by the same percentage. if the sheets original width was half of the legnth and the new (smaller) area was 1.2 m^2 what was original sheet's width
Answer:
The original width was 94.71 cm
Step-by-step explanation:
Given:
new smaller area = 1.2m^2
Decrease in length of the rectangular sheet = 34.5cm
Therefore:
1. the final width of the sheet is given as
2X^2 = 1.2 m^2
X^2 - 0.6 m^2
X^2 = 10000 * 0.6 cm
X = 77.46 cm (this is the width)
2. The length of the sheet
= 2 * 77.46
= 154.92 cm.
3. Initial length of the sheet
= 154.92 + 34.5
= 189.42 cm.
4. Initial width of the sheet ( original ).
= 189.42 / 2
= 94.71 cm.
5. Initial area of the sheet
= 94.71 * 189.92
= 17939.9 cm^2
New area of the sheet
= 79.46 * 154.92
= 12000.1 cm^2
Difference between the initial and new area
= 17939.9 - 12000.1
= 5939.86 cm^2
Percentage of area decrease
= 5939.86 ' 17939.9
= 33.1%
224,112,56,28 what are the two next answers?
Answer:
14,7
Step-by-step explanation: if it is being divided by 2 it is 14 and 7
If a line crosses the x-axis at (4,0), what is the x-intercept?
Answer:
x = 4
Step-by-step explanation:
The y- intercept is the value of the x- coordinate where the line crosses the x- axis.
Given the line crosses the x- axis at (4, 0 ), then
the x- intercept is x = 4
The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.3 ounces of cereal (as labeled on the box). At various times in the packaging process, we select a random sample of 100 boxes to see if the machine is (on average) filling the boxes as labeled. On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces. Which of the following is an appropriate statement of the null hypothesis?
A) The machine fills the boxes with the proper amount of cereal.
B) The average is 24.3 ounces (H0: μ = 24.3)
C) The machine is not filling the boxes with the proper amount of cereal (H0: μ ≠ 24.3 ounces).
D) The machine is not putting enough cereal in the boxes.
E) The average is less than 24.3 ounces (H0: μ < 24.3).
F) The machine fills the boxes with an average of 23.6 ounces (H0: μ = 23.6).
Answer:
B.
Step-by-step explanation:
The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.
So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.
Hope this helps!
The surface area of this rectangular prism is_____square centimeters.
Answer:
Find the area of all the shapes
Length x width = area
10 x 3 = 30
6 x 3 = 18
6 x 3 = 18
6 x 10 = 60
3 x 10 = 30
6 x 10 = 60
Add them all up
30 + 18 + 18 + 60 + 30 + 60 = 216 cm^2
Hope this helps
Step-by-step explanation:
You give me answer=BRAINLIEST
Answer:
A. 2
Step-by-step explanation:
Well let’s first graph the following,
[tex]x^2 + y = 8[/tex]
[tex]x=y[/tex]
So on the graph the system of equations only have 2 real solutions which are
(-3.272, -3.272) (2.372,2.372)
y=6x 2x+3y=20 solving equation using substitution
Answer:
x = 1, y = 6
Step-by-step explanation:
y = 6x
2x + 3y = 20
Plug y as 6x in the second equation and solve for x.
2x + 3(6x) = 20
2x + 18x = 20
20x = 20
[tex]\frac{20x}{20}= \frac{20}{20}[/tex]
x = 1
Plug x as 1 in the first equation and solve for y.
y = 6(1)
y = 6
Answer:
y=6 , x=1
Step-by-step explanation:
y=6x
2x+3y=20
Substitute 6x into y because y=6x.
2x+3(6x)=20
2x+18x=20
20x=20
x=1
Then subsitiute 1 into the first equation in x value
y=6(1)
y=6
What is the measure of each intercepted arc for each inscribed angle of a square inscribed in a circle?
Answer:
The measure of the angle of each of the intercepted arc is 180°
Step-by-step explanation:
An intercepted arc is an encased (between chords) portion of the circumference of the circle. The chords that form the intercepted arc meet at a point
An inscribed angle is the angle is an angle formed between two chords that meet at a point called the end point
For the inscribed square, the symmetry has it that the diagonal is the same as the diameter of the circle as the diagonals bisect each other having equal distances on either side to the circumference of the circle.
Given that the angles in the vertices of the square are 90° and the point of intersection of the two chords forming the vertex are at the ends of the diameter of the circle, which passes through the center of the circle, the angle 90° at the vertex is half the angle at the center which is the angle of the intercepted arc
∴ The measure of the angle of each of the intercepted arc = 2× 90 = 180°.
can you please help me
Apply the rule x^m/n = nsqrt(x^m)
(2) ^x/12 = 12sqrt(2^x)
The answer is the 3rd choice
A percent measures a rate
answer = no it does not measure a rate
Answer:
NO
Step-by-step explanation:
Percent is just a number out of 100
1. The total area within any continuous probability distribution is equal to 1.00.
A. True
B. False
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.
A. True
B. False
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.
A. True
B. False
Answer:
1. True
2. False.
3. True.
Step-by-step explanation:
1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).
Hence, for continuous probability distribution: probability = area.
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.
Hence, it cannot be computed.
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.
Hence, it can be computed.
Determine the parent function.
Answer:
y= [tex]\sqrt{x}[/tex]
Step-by-step explanation: