The solution to the system of linear equations is x = 10 and y = 22.
To solve this system of linear equations, we can use the substitution method.
First, we want to isolate one of the variables in either equation. Let's start with equation 1:
3x - 2y = 14
Add 2y to both sides to isolate x:
3x = 14 + 2y
Divide both sides by 3 to solve for x:
x = (14 + 2y) / 3
Now, substitute this expression for x into equation 2:
5x + y = 32
5(14 + 2y) / 3 + y = 32
Simplify:
70 + 10y + y = 32
Combine like terms:
11y = -38
Divide both sides by 11 to solve for y:
y = -38 / 11
y = -3.45454545...
Now, substitute -3.45454545... for y in the expression for x:
x = (14 + 2(-3.45454545...)) / 3
x = (14 - 6.9090909...) / 3
x = 7.09090909... / 3
x = 2.36363636...
x = 2.4 (rounded to nearest tenth)
Now that we have both x and y, the solution to the system of linear equations is x = 2.4 and y = -3.5.
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Terms nd coefficients and constants of 6+n2 + 1/2d
23. Factor each polynomial completely.
a. 5a²c-3a²d + 5b²c3b²d
b. x2 + 6x" +9
Step-by-step explanation:
a. 5a²c-3a²d + 5b²c3b²d l can't this question but l can calculate a. 5a²c-3a²d + 5b²c-3b²d.
I this your question is a little worng.
Suppose f(x) − f(x+1) = 3x^2 and f(3) = 48, determine the value of f(5) show all steps so i can understand how you got to the answer! help please !!
Step-by-step explanation:
f(3) = 48
f(3)-f(4) = 3*3^2
f(4) = 21
f(4)-f(5) = 3*4^2
f(5) = -27
How do you know if a product is a perfect square?
In essence, a perfect square is produced when two equal integers are multiplied by one another.
what is perfect square ?Squaring an integer produces perfect squares. For instance, the number 81 is a perfect square since it can be calculated by squaring 9: 99=81. Due to the fact that 12 is squared to produce 144, 144 is a perfect square. Because 13 is squared to produce 169, 169 is a perfect square. Language of Mathematics. Informally: The result is known as a square number, a perfect square, or simply "a square" when an integer (a "whole" number), whether positive, negative, or zero, is multiplied by itself. So all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so forth.
given
In essence, a perfect square is produced when two equal integers are multiplied by one another.
Due to the fact that you are multiplying two equal integers (5 and 5) by one another, 25, it is a perfect square. The result of a number being multiplied by itself is referred to as the square of the number.
In the case when m and n are both natural numbers, m is a perfect square if m = n2. A perfect square is produced when two perfect squares are added together.
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Find the angle measures for the following triangle.
(x + 2)°
72°
The angle labeled tº measures
The angle labeled (x + 2)° measures
HELP ASAP
Answer:
x=53°
(x+2)=55°
Step-by-step explanation:
Add all the angles up to equal 180, because all triangles equal 180.
(x+2)+x+72=180
Simplify and solve for x.
2x+74=180
-74=-74
2x=106
2 = 2
x=53.
Plug x in to the inequalities. Hope this helps.
find the number that makes the ratio equivalent to 1:8
Answer:
2:16
Step-by-step explanation:
maybe i don't know im not smart but that is the ratio equalivent i guess i have to make this 20 words long soooo
Answer:
To find the number that makes the ratio equivalent to 1:8, we need to set up the ratio as a fraction and solve for the missing value.
The ratio 1:8 can be written as the fraction 1/8. In this case, the missing value is the numerator (1) and the known value is the denominator (8). To solve for the missing value, we can multiply both the numerator and denominator by the same value.
For example, if we multiply both the numerator and denominator by 2, we have:
1/8 = (12)/(82) = 2/16
If we multiply both the numerator and denominator by 4, we have:
1/8 = (14)/(84) = 4/32
If we multiply both the numerator and denominator by 5, we have:
1/8 = (15)/(85) = 5/40
In each of these cases, the ratio is still equivalent to 1:8, but the missing value (the numerator) is different. In general, we can multiply the numerator and denominator by any value to find the missing number that makes the ratio equivalent to 1:8.
For example, if we multiply both the numerator and denominator by 10, we have:
1/8 = (110)/(810) = 10/80
In this case, the missing value (the numerator) is 10, which makes the ratio equivalent to 1:8.
Step-by-step explanation:
The 19th and 15th terms of an AP are- 5 and -7 1/2, respectively. What is the sum of the first 20 terms.
The sum of the first 20 terms of the sequence is - 206.25
What is an Arithmetic Progression?Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence. For example, the series of natural numbers: 1, 2, 3, 4, 5, 6,… is an Arithmetic Progression, which has a common difference between two successive terms (say 1 and 2) equal to 1 (2 -1). Even in the case of odd numbers and even numbers, we can see the common difference between two successive terms will be equal to 2
a + 18d = - 5
a + 14d = -7 1/2
---------------------
4d = -5 + 15/2
8d = -10 + 15
8d = 5
d = 5/8
a + 18(5/8) = -5
8a + 90 = -40
8a = -40 - 90
8a = -130
a = -130/8
The sum of the first 20 will be;
Sum = (20/2) (2(-130/8) + (20-1)(5/8))
Sum = 10 (-260/8 + 95/8)
Sum = 10 (-165/8)
Sum = - 206.25
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What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?
4y2 + 34
3y2 + y + 34
4y2 + 14y + 34
4y4 + 34
Answer:
hmmm i think its a
Step-by-step explanation:
using three pieces of matchsticks form polygon a.hiw many sides does it have? b.how many vertices does it have? c.how many interior angles does it have?
Answers:
a) 3 sidesb) 3 verticesc) 3 interior angles===============================================
Explanation:
3 is the magic number here, and this applies to any triangle of any shape.
Each matchstick is one side of the triangle. Having three of them forms the three sides. When you intersect any pair of sides, you form a vertex which is a corner point of the triangle. Each vertex corresponds directly to an interior angle.
Side note: the 3 interior angles of any triangle always add to 180 degrees.
Darwin is out shopping in find $50.00 scooter that was marked down by 50% how much was the item originally?
Answer:
100
Step-by-step explanation:
Because if 50 percent of x is 50 than x = 100
What is the area of a circular pool with a diameter of 18 feet? Use 3.14 for
pi and round your answer to the nearest hundredth.
Answer:
254.34 ft^2
Step-by-step explanation:
A=1/4(3.14)d^2= 1/4(3.14)(8)^2= 254.34 ft^2
The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total? 0 $85.39 O $74.25 O $63.11 O $90.75
Answer:
Step-by-step explanation:
The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total? 0 $85.39 O $74.25 O $63.11 O $90.75
Answer:$85.39
Step-by-step explanation:
is y2=x-1 a function i will give brainliest
ANSWER ALL FOR BRAINLIEST !!!
Answer:
A. 4 (any number over 3)
B. 1
C. 2
Step-by-step explanation:
A. It needs to equal more than 11, so the fraction would have to be greater than 1.
B. 5*1/8 = 0.625
C. Fraction has to equal 1, 2/2 is equal to 1.
Estimate the radius of the object. Round to the nearest hundredth if necessary. (Don’t guess please).
Answer:
13.98 mm
Step-by-step explanation:
C=πd
C=2πr
8.9=2πr
4.45=πr
13.98≈r
Therefore, the radius of the object is about 13.98 mm
PLLsS HElP!!!!!! Im failing math and i need to turn in work
Answer:
center is 6
Step-by-step explanation:
A natural number is abundant if it is less than the sum of its proper divisors. What is the smallest abundant number
On solving the provided question, we can say that number 12 is the smallest natural number is abundant
What is natural number?Natural numbers are those employed in mathematics for counting and ranking. Cardinal numbers are the ones used for counting, and ordinal numbers are the ones used for organizing. The natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11... are the ones to use while counting or sorting them. Integer a sum that consists of integers and zero. not using decimals or fractions. Integers are not fractions or decimals. Although all integers are integers (as are all natural numbers), not all integers are also integers or natural numbers. For instance, the integer -5 is both an integer and a natural number, but it is neither.
number 12 is the smallest natural number is abundant
factor of 12 = 1,2,3,4,6,12,
1~1
2>1
3>1
4>2+1
.............
10> 1+2+5
11>1
therefore, number 12 is the smallest natural number is abundant
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Complete question: A natural number is abundant if it is less than the sum of its proper divisors. What is the smallest abundant number?
What is the range of the data set please help out!
4 is the range of the data set in the given set.
What is range data set?The space between the highest and lowest values in a data collection is known as the range. Similar units to the data are used to quantify variability. Variability is increased with larger values. The range has several limitations but is the most straightforward statistical measure of dispersion to compute and comprehend.
This means that the range might alternatively be described as the distance between the highest and lowest observation.
In the given data set,
range = maximum frequency - minimum frequency
range = 5 - 1
range = 4
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Answer correctly for brainly
Answer:
graph D. it shows how much has you have at the beginning and ascends down to what you have left at 500
Answer:
Graph D
Step-by-step explanation:
With the other graphs, the information is too spread out or confusing. Graph D sums it up properly and makes it easy to read and understand.
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $31.00 per square meter. How much will the chalkboard cost?
Answer:
62$
Step-by-step explanation:
Board in square meters = 2×1 = 2 m²
Cost per square meter = $31.00
Total cost = 31×2 = $62.00
Answer:
The cost of the chalkboard is $27.74
Step-by-step explanation:
right!!
Please hurry, it's due in two days
Answer:
C (3, -2) is in the Fourth Quadrant.
The equation of the line is Y=2
The Line x=-1 would be a straight vertical line on the point x=-1.
Step-by-step explanation:
I have attached three pictures, one of all the quadrants labeled for you to help in the future, one of a visual of y=2 with the points labeled, and one of a visual of the line x = -1.
1. Harry invested Nu 3200 in an
account for four years. The value of
the investment at the end of four years
was Nu 4000. Determine the rate of
simple interest that was earned.
MATH PLEASE I NEED ANSWER
How many solutions does 3x 2y 6 have?
The linear equation 3x – 2y = 6 has one real solution. To find it, you can solve the equation for one of the variables (either x or y) and then substitute the result into the equation to find the other variable.
For example, you can solve for y to get y = (6 + 3x)/2, and then substitute this into the equation to get 3x – 2((6 + 3x)/2) = 6, which you can then solve for x. Doing this will give you x = 3, which means that the solution is (3, 3).
The linear equation 3x – 2y = 6 has infinitely many solutions. To find them, you can solve the equation for one of the variables (either x or y) and then substitute the result into the equation to find the other variable
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How do you find the dilation of a function?
Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. The scale factor is equal to the ratio of these distances.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
A graph's form is altered by dilations, frequently leading to "movement" in the process. In the figure above, the green curve has been "transformed" into the red curve. It has been three times "dilated" (or stretched) horizontally. A dilatation is an axial stretching or contraction brought on by multiplication or division.
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If you were given the function y=2x+8, an Output value of 16. what would the Input have been?
Answer:
4
Step-by-step explanation:
If the output value is 16, then the equation we are left with is
16 = 2x + 8
(because y is the output, or the answer)
To solve, first subtract 8 from both sides.
16 - 8 = 2x + 8 - 8
We get:
8 = 2x
Then simply divide 8 by 2.
4 = x
So, x = 4
The input would be 4 since x is our input.
Hope this helps!
What is called composite function?
A composite function is a type of function that is made up of two or more other functions. It is created by combining two or more functions together. The resulting function can be written as a single expression, or as a composition of multiple functions.
A composite function is a type of function that is formed by combining two or more other functions. It is created by combining two or more functions together using the mathematical operations of addition, subtraction, multiplication, division, or composition. The resulting function can be written as a single expression, or as a composition of multiple functions. A composite function is often used to simplify a complex problem, or to manipulate and analyze data. For example, if a data set contains two sets of data, a composite function could be used to combine the two sets of data into a single expression. Additionally, composite functions can be used to solve problems that involve multiple variables, as the resulting function can be used to represent the relationship between the variables. Furthermore, composite functions can be used to create graphs, which can be used to further analyze the data.
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4(x+1)m divided by 2
Answer:
4(x+1)m/2= 2(x+1)m
Step-by-step explanation:
can i have brainliest please
URGENT. Please help me, I don’t know! What is the answer to this, PLS help this is really urgent !
Answer:
I'm sure it's
30 cm
Step-by-step explanation:
someone pls help
the question is
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 16 grams. The jeweler made a total of 12 bracelets and necklaces using 160 grams of gold. Graphically solve a system of equations in order to determine the number of bracelets made, x, and the number of necklaces made, y.
The number of bracelets is 4.
The number of bracelets is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of bracelets = x
Number of necklaces = y
Amount of gold in each bracelet = 8 grams
Amount of gold in each necklace = 16 grams
Now,
x + y = 12 _____(1)
x = 12 - y ____(2)
8x + 16y = 160 ______(3)
Substituting (2) in (3) we get,
8(12 - y) + 16y = 160
96 - 8y + 16y = 160
96 + 8y = 160
8y = 160 - 96
8y = 64
y = 8
Now,
x = 12 - y
x = 12 - 8
x = 4
Thus,
The number of bracelets and necklaces that were made is 4 and 8.
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