1) 3x – 2y = 2
y = 2x + 8
alguien que me ayude con esto no lo entendemos gracias
What is the perimeter of a square that has an area of 595.36 square feet?
Answer :
97.6 feetStep-by-step explanation:
It's given that, Area of square is 595.36 square feet.
As we know that area of square is calculated by,
Area = side²
Substituting the values,
595.36 = side
side =√595.36
side = 24.4 feet
Hence, the side of the square is 24.4 feet.
Now,
Perimeter (square) = 4 × side
Perimeter = 4 × 24.4
Perimeter = 97.6 feet
Therefore, The perimeter of the square is 97.6 feet
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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where can I learn basics of algebra
Answer:
khan academy
Step-by-step explanation:
khan academy its something that I usually use to study algebra and Geometry this page includes videos with a really good information.
Answer:
Ixl.com
Khanacademy
and more... I forgot ahahaha
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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2
Which equation best describes the graph? Please don’t just put anything down for points
8
6
2
-2
2
6
8
-2
1
6
-
A y = 3x + 2
C y = -3x + 2
B
D
ly= 3x + 2
y =
= -x + Ź
Answer:
C
Step-by-step explanation:
Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles?.
For the first 68 rented vehicles 60 must be other vehicles and 8 must be convertibles.
What are arithmetic operations?A subject of mathematics known as arithmetic operations deals with the study and application of numbers in all other areas of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
We frequently employ these fundamental mathematical operations in our daily lives: +, -,, and. We employ mathematical operations for any situation when we must determine the annual budget or distribute things equitably to a lot of people.
There is a total number of vehicles is as:
30 other vehicles + 4 convertibles = 34 cars
To find 68 vehicles
34 * 2 = 68
Therefore, 30 * 2 other vehicles + 4 * 2 convertibles = 68 cars
Hence, for the first 68 rented vehicles 60 must be other vehicles and 8 must be convertibles.
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Calculate the surface area
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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CAN SOMEONE GIVE ME THE ANSWERS AND EXPLAIN TO ME WHAT I HAVE TO DO
Answer:
1/2
Step-by-step explanation:
the slope is how far the line rises and how far it moves between intersecting lines. If you place on finger on an intersection and the other on the next intersection, it rises up 1 whole number and goes to the right 2 whole numbers. Rise over run (Y line rises and X line runs)
The cost of 3 pounds of grapes is 6.57$. What is the cost of 2 pounds of grapes? Please help! I’ll give brainly.
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
Pat randomly chooses marbles from an urn without replacement. The urn originally contained 55 red marbles, 30 white marbles, and 15 blue marbles. What is the probability that Pat’s second pick will be a blue marble given that the first pick was a red marble?
The probability that Pat’s second pick will be a blue marble is the fracion 5/3 considering choosing marbles without replacement.
Probability of an event without replacementProbability of an event without replacement simply means once an item is drawn, then we do not replace it back to the sample space before drawing a second item.
For the fact that a red marble was first drawn without replacement with the probability of 55/100, given that there are 55 red marbles and a total of 100 marbles in the Urn.
Hence, there will be 99 samples left for the second draw to be made.
The probability that the second pick will be a blue marble = 15/99.
Therefore, the probability that the second pick is a blue marble after the first pick without replacement is the fraction 5/33 reduced to its lowest term from 15/99.
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10. A cell phone originally cost $550.79 and was marked up 5%. What is the new cost of the
cell phone?
Answer:
$578.33
Step-by-step explanation:
To get 5% of the original cost you need to multiply by 0.05
550.79 • 0.05 = 27.5395
27.5395 is 5% of 550.79
Since the price is marked up 5% you will need to add 27.5395 to 550.79
550.79 + 27.5395 = 578.3295
Then you will round your answer to 578.33
how do you find answer to 9/35 - 1/5?
Answer:
2/35
Step-by-step explanation:
\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)
Let g(x) = 3x, and h(x) = x2 + 1
Given:
\(\begin{gathered} g(x)=3x \\ \\ h(x)=x^2+1 \end{gathered}\)Find:
\(\begin{gathered} g(-1),\text{ }h(3),\text{ }g(g(-1)),\text{ }h(h(3)),\text{ }g(x)\times h(x),\text{ }g(-2)\times h(-2) \\ \end{gathered}\)Sol:
(a)
Value of g(-1)
\(\begin{gathered} g(x)=3x \\ \\ g(-1)=3\times(-1) \\ \\ g(-1)=-3 \\ \end{gathered}\)(b)
Value of h(3) is:
\(\begin{gathered} h(x)=x^2+1 \\ \\ h(3)=3^2+1 \\ \\ h(3)=9+1 \\ \\ h(3)=10 \end{gathered}\)(c)
Value of g(g(-1))
\(\begin{gathered} g(x)=3x \\ \\ g(g(x)) \\ \text{ } \\ \text{ Then }x=g(x) \\ \\ g(g(x)=3(3x) \\ \\ g(g(x))=9x \end{gathered}\)So the value of g(g(-1)) is:
\(\begin{gathered} g(g(x))=9x \\ \\ g(g(-1))=9(-1) \\ \\ g(g(-1))=-9 \end{gathered}\)(c)
Value of h(h(3)) is:
\(\begin{gathered} h(x)=x^2+1 \\ \\ x=h(x) \\ \\ \text{ Then,} \\ \\ h(h(x))=(x^2+1)^2+1 \\ \\ h(h(x))=x^4+2x^2+2 \\ \\ \end{gathered}\)So, the value of h(h(3)).
\(\begin{gathered} h(h(x))=x^4+2x^2+2 \\ \\ h(h(3))=3^4+2(3)^2+2 \\ \\ =81+18+2 \\ \\ =101 \end{gathered}\)(d)
Value of g(x)*h(x)
\(\begin{gathered} g(x)=3x \\ \\ h(x)=x^2+1 \\ \\ g(x)*h(x)=3x(x^2+1) \\ \\ g(x)^*h(x)=3x^3+3x \end{gathered}\)(e)
Value of g(-2)*h(-2)
\(\begin{gathered} g(x)^*h(x)=3x^3+3x \\ \\ g(-2)^*h(-2)=3(-2)^3+3(-2) \\ \\ =-24-6 \\ \\ =-30 \end{gathered}\)Rewrite each verbal expression as an
algebraic expression. a. six times the
difference of x and 4 _______
b. six plus the product of 5 and z. _______
c. a number y decreased by 25 ________
d. n increased by 9 ______
The average of three numbers is 16 if one of the numbers is 18 what is the sum of the other two numbers
Answer:
sum of two numbers is 30
Step-by-step explanation:
let three numbers are x,y,z
average =x+y+z/3
x+y+z/3=16
x+y+z=48......(1)
The sum of two numbers is 18.
according to condition:
let x=18
subtitute x=18 in (1)
18+y+z=48
y+z=48-18
y+z=30
Which set of ordered pairs represents a linear relationship?
Answer:
Were there options or do we just have to make up some ordered pairs that would be a linear relationship? Maybe there was a image?
Parallelogram Properties - Diagonals
Jun 06, 4:06:26 PM
In parallelogram JKLM if LJ-46 find LN.
J
K
N
M
If LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK
To find the length of LN in parallelogram JKLM, we can utilize the properties of parallelograms, particularly the diagonals.
In a parallelogram, the diagonals bisect each other. This means that the diagonal LN divides the parallelogram into two congruent triangles, JLN and KLN.
Given that LJ is 46 units, we know that LK, the other half of the diagonal, is also 46 units.
Now, we have a triangle JLN, in which we know LJ (46 units) and LK (46 units). Since JL and LK are congruent sides of a triangle, we can conclude that JLKN is an isosceles trapezoid.
In an isosceles trapezoid, the diagonals are also congruent. Therefore, LN is equal in length to JK.
Hence, LN = JK.
Since we don't have any specific information about the length of JK provided in the question, we cannot determine the exact length of LN without additional information. However, we can say that LN is equal in length to JK based on the properties of parallelograms and isosceles trapezoids.
In summary, if LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK. However, without knowing the length of JK specifically, we cannot determine the exact length of LN.
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Find the surface area of the box shown
please answer needed
Answer:
FG = 14
Step-by-step explanation:
set up your equation
EF + FG = EG
(9) + (4x) = (6x + 2)
simplify -- subtract 2 from each side, subtract 4x from each side
7 = 2x
divide
x = 3.5
plug x into FG
FG = 4x
FG = 4(3.5)
FG = 14
check work
9 + 4(3.5) = 6(3.5) + 2
9 + 14 = 23
23 = 23
Answer:
FG=14
Step-by-step explanation:
EF+FG=EG
9+4x=6x+2
2x=7
x=7/2
FG=4x ⇒ 4(7)/2
FG=28/2
FG=14
1 point
The temperature in Anchorage, Alaska was 2 degrees Celsius below zero.
The next day, the temperature dropped 10 more degrees Celsius. Thanks to
a warm front, the temperature rose by 5 degrees Celsius. On the fourth
day, the temperature decreased by 13 degrees Celsius. What was the final
temperature in Anchorage, Alaska on the fourth day? *
20
Answer:
6 degrees Celsius
Step-by-step explanation:
It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6
sum of two numbers is 5 one of them is 3 what is the other number
Answer:
The other number would be 2.
3 + 2 = 5
The graph shows the cube root parent function.
Which statement best describes the function?
Note that the statement that best describes the cube root of the parent function as indicated in the Graph is: "The function is increasing when x > 0." (Option B).
What is a cube root of a parent function?The cube root of a parent function is a mathematical function that takes the cube root of the input variable x.
The parent function y = ∛x has a graph that is a decreasing function that passes through the origin, where x and y are both zero. The cube root parent function is used as a building block for constructing other functions in mathematics, especially in calculus, where it can be used to find the slope of tangent lines to curves that involve cube roots.
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that is my question
PLEASE HELP!!!!!!!
The temperature is 56°F. The temperature decreases for 6 hours. Each hour, the temperature decreases by 3°F. Then the temperature rises 12°F in one hour. What is the temperature after 7 hours?
Answer:
50 degrees
Step-by-step explanation:
3 x 6 = 18
56 - 18 = 38
38 + 12 = 50
In Rebecca's neighborhood, 80% of the houses have garages and 46% have a garage and a pool. What is the probability that a house in her neighborhood has a pool, given that it has a garage? A. 58% B. 79% C. 34% D. 17%
The probability that a house in her neighborhood has a pool, given that it has a garage is; A. 58%
How to work with Venn diagrams?By Venn diagram, all houses that have garage have a pool. Thus, since given that households that have garage is 80% and households that garage and a pool is 46%.
Then probability that a house in her neighborhood has a pool is;
P = 46%/80%
P = 57.5% = 58%
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Mrs sorenstam bought one ruler, one compass, and one mechanical pencil at the same price as shown in the table for each other for 12 students.A: suppose Mrs sorenstam had $0.36 left after buying the school supplies. Write an equation to find out the amount of money Mrs sorenstam initially had to spend on each student. B: solve the equation.
Number of students = 12
Money remained = $0.36
Student spends = 1.49 + .59 + .49 = $2.57 for each student
Now multiply 12x 2.57 = $30.84
Then now add $0.36
$30.84 + $0.36 = $31.2
Then we conclude that
Mrs Sorenstam spent $31.2 in supplies for 12 students.
Mina bought 8 dozen bagels and 3 pounds of cream cheese for 85.50 at the same bakery Cora bought 4 dozen bagels and 2 pounds of cream cheese for 45 dollars how much does one dozen bagels cost?'
IM LOOKING FOR NO LINKS.
direct answer please.
Answer/Step-by-step explanation:
We know that Dozen = 12
That mean 8 dozen = 96
So, Mina bought 96 Bagels and 3 Pounds of cream cheese for 85.50
Since Dozen = 12
That mean 4 Dozen = 48
So, Cora bought 48 Bagels and 2 Pound of cream cheese for 45.00
Approximate the number to the nearest (a) integer and (b) tenth.