Solving
2x - 6y = -12 ----------- equ1
x + 2y = 14 ................ equ 2 mutilplied by 2 = 2 x + 4 y = 28 ------equ 3
We want to use elimination method,
Equation 3 - Equation 1 ,
2x - 6y = -12 ----------- equ1
2 x + 4 y = 28 -------------equ 3
4 y - ( -6 y ) = 28 - ( - 12 )
4y + 6y = 28 + 12
10 y = 40
Divide both sides by 10
y = 40 / 10
y = 4
put y = 4 in equ 1 , we have ;
2x - 6y = -12 --- equ 1
2x - 6 (4) = - 12
2 x - 24 = -12
2x = -12 + 24
2x = 12
Divide both sides by 2, we have :
x = 6
CONCLUSION : x = 6 , y = 4
Which of the scenarios below are considered seller-based discounts? options are in the picture
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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What is the area of a triangle with vertices at (0, 0), (0, 3), and (3, 4)?
Plot the points in a coordinate plane:
VERB TENSE!!
PLEASE HELP
For each of the following sentences, identify whether the verb tenses are helping convey time, sequence, condition, or state.
1. We walk through the forest in search of tree kangaroos.
2. We flew to Papua New Guinea and will drive to the camp.
3. The men had to capture the animal before examining it.
5. I will be delighted to be done with this project.
Answer:
1 verb:walk present tence
2 verb:flew past tence
3 verb:had past tence I think
4 verb:will future tence
A principal of $3900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 5 years?
If principal of $3900 is invested at 4.25% interest, compounded annually, the investment will be worth approximately $4,756.89 after 5 years.
To calculate the future value of the investment, we use the formula for compound interest:
A = \(P(1 + r/n)^{(n*t)\)
where A is the future value, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $3900, r = 4.25%, n = 1 (compounded annually), and t = 5. Plugging these values into the formula, we get:
A = 3900(1 + 0.0425/1)⁵
A = 3900(1.0425)⁵
A ≈ $4,756.89
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Area of circumstances of a circle with radius of 5
What is the equation for this graph? Use y=mx+b
Answer:
The equation is y=2x+1.
Step-by-step explanation:
The y intercept is 1 and the slope is 2.
Aight so I know the answer is 105° but idk how someone got that answer. Could you help?
Firstly we need to find m<DNY
m<DNY=(60+90)÷2=75
N9w we can find m<KNY
m<KNY+m<DNY=180°(Because these are adjacent corners)
m<KNY+75°=180°
m<KNY=180°-75°
m<KNY=105°
Determine the amplitude of function
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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Which graph shows the new position of the rectangle after a translation?
The graph that shows the new position of the rectangle after a translation is; Option C
How to interpret Translation in Transformation?When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.
Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.
In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.
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What is the size of matrix A?
What are the entries of the fourth row of matrix A?
What are the entries of the third column of matrix A?
What is the entry in the (3,4)th position of matrix A?
Therefore , the solution of the given problem of matrix comes out to be matrix A's (3,4)th place is -1.
What is matrix?A matrix is a group of numbers arranged in rows and columns to form a rectangular array. The numbers make up the matrix's constituents or parts. Matrix algebra is widely used in many branches of mathematics, as well as in the sciences of architecture, physics, economics, and statistics.
Here,
Given that matrix A has 4 rows and 5 columns,
=> it has a dimension of 4 x 6.
=> -1, 2, 3, 4, and 5 are the values in the fourth row of matrix A.
=> 2, 0, 6, and -3 are the values in matrix A's third column.
The entry in matrix A's (3,4)th place is -1.
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PLEASE PLEASE HELP MEEE :(
Select the correct point on the coordinate plane.
Which point can be used to form a right triangle to derive the distance formula to find the length of the line segment?
(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment
Determining the distance between two points.Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.
The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:
D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63
Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)
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Answer: It’s -1,-3
Step-by-step explanation:
got 100 on the test
Round each mixed number to the nearest whole number and then estimate the difference.
9 5/12- 3 4/5
9 5/12- 3 4/5
113/12-18/5
(113×5-18×12)/60
349/60
5 49/60
I need the answer to b please
Answer:
mean = 16 1/3
median = 17
mode = 18
Step-by-step explanation:
b.
mean = (10 + 12 + 12 + 15 + 15 + 16 + 16 + 17 + 18 + 18 + 18 + 18 + 19 + 20 + 21)/15
mean = 16 1/3 (the arithmetic average)
median = 17 (the middle one)
mode = 18 (the one that occurs the most)
Can anyone please help me with 13-16 I’m begging anybody
Answer:
-3
Step-by-step explanation:
An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.
13-16, 16 is larger than 13 so it's negative
When finding the least common denominator you have to multiply the number by other factors such as 1,2,3 etc. true or false help please
Answer:
True
Step-by-step explanation:
One way to find the least common multiple of two or more numbers is to first multiply each by 1, 2, 3, etc.Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?
Answer:
\(\huge\boxed{\sf 38}\)
Step-by-step explanation:
Given expression:= a³ + b (6 + c)
Put a = 2, b = 3 and c = 4
= (2)³ + 3 (6 + 4)
= 8 + 3(10)
= 8 + 30
= 38\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
the requied answer is 38.
according to the question the value of a=2,b=3,c=4.
here,
to find the value of a³ + b (6 + c)we have to do it in steps:
step 1: solve the bracket (6+4) =10.
step 2: solve the value of a³ =8.
now put these values ,
=8+3(10)
=38.
please help me with these it is due tomm.
Answer:
1.) 10: 1, 2, 5, 10.
15: 1, 3, 5, 15,
Answer would be 5.
2.) 18: 1, 2, 3, 6, 9, 18
21: 1, 3, 7, 21
Answer would be 3.
3.) 12: 1, 2, 3, 4, 6, 12.
24: 1, 2, 3, 4, 6, 8, 12, 24.
Answer would be 12.
4.) 8: 1, 2, 4, 8.
20: 1, 2, 4, 5, 10, 20.
Answer would be 4.
5.) 14: 1, 2, 7, 14.
28: 1, 2, 4, 7, 14, 28.
Answer would be 14.
Step-by-step explanation:
Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.
True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
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Find the measure of ACD
A - 36 degrees
B - 126 degrees
C - 162 degrees
D - 216 degrees
Answer:
C
Step-by-step explanation:
i assume its
C.
Which of the following is true when the discriminant of a quadratic equation is zero?
When an equation's discriminant is zero, the following is the given statement that is correct: There is just one viable solution.
Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. The name "Quadratic" is derived from the word "Quad" which means square. A quadratic equation is an "equation of degree 2," to put it another way. A quadratic equation is employed in numerous situations.
There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are denoted as (α, β) and are also known as the roots of quadratic equations.
Three instances of discrimination exist.The equation has two real solutions if the discriminant is strictly bigger than zero.There is just one real solution if the discriminant equals zero.Additionally, if the discriminant is strictly less than zero, there are no real solutions to the equation, meaning that both of its solutions are complex.Learn more about quadratic equations here:
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giving brainliest !! *easy*
Answer:
31.4
Step-by-step explanation:
The ratio of pens to pencils that Jose has on his desk is 5:3. If Jose has 15 pens on his desk then how many pencils does he have?
Answer:
9 pencils
Step-by-step explanation:
We know that the ratio is 5:3 and its pens to pencils. So, every 5 pens have 3 pencils. Now Jose has 15 pens, so his pen supply triples. therefore his pencil supply must also triple. So 3x3=9.
Let the no. of pencils be x,
= 5/3 = 15/x
Do cross multiplication
= 5x = 15 × 3
= x = 45/5
= x = 9
No of pencils = 9
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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X/10 > 3 solution to the inequality
Djduhdbevzhzjsvvsyshavahsysjsjsj
A poll finds that 64% of the people surveyed approve of the President's handling of the economy, with a margin of error (for 95% confidence) of 3%. Find the 95% confidence interval for this poll.
Answer: The 95% confidence interval for this poll is [0.61, 0.67].
Step-by-step explanation: A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. In this case, we are interested in estimating the proportion of people who approve of the President’s handling of the economy based on a sample of people surveyed. The margin of error for this poll is 3%, which means that we can be 95% confident that the true proportion of people who approve of the President’s handling of the economy falls within the range [0.64 - 0.03, 0.64 + 0.03] = [0.61, 0.67].
The formula for calculating a confidence interval for a proportion is:
p ± z*sqrt(p*(1-p)/n)
where p is the sample proportion, z is the z-score corresponding to the desired level of confidence (in this case, 95%), and n is the sample size.
In this case, p = 0.64, z = 1.96 (corresponding to a 95% confidence level), and n is not given in the question.
Hope this helps, and have a great day!
The Two sets A and B are said to be disjoint sets if A n B=_____
The Two sets, A and B, are said to be disjoint sets if A n B=ϕ
What does it mean for two sets to be disjoint?Disjoint sets are a pair of sets that do not share any elements. For instance, sets A=2,3 and B=4,5 are not connected sets.When two sets don't share elements, they are considered disjoint sets. In other words, the null set will result if we find the intersection of two sets. The process is straightforward; two sets are given in this procedure.When using a disjoint set union, it is possible to add new sets, combine existing sets, and check whether two sets of elements are the same in almost real-time.The Two sets, A and B, are said to be disjoint sets if A n B=ϕ
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Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
the height of a house having three rooms of the dimensional 9 feet into 12 feet 14 feet into 16 feet and 12 feet into 14 feet respectively is 90 Feet what will be the amount required to paint on all was from inside at the rate of 160 per square feet
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
A light bulb consumes 3600 watt-hours per day. How many watt-hours does it consume in 4 days and 12 hours?
watt-hours
$
Answer/Step-by-step explanation:
18 hours = 18/24 reduces to 3/4 of a day
3/4 = 0.75
so,........ 3600/3.75 = 960 watts per day