Answers
After solving the linear equation in two variables we get the value of x=13 and y =-24/5
What is linear equation in two variable?
If an equation is written in the form axe + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation.
A system of linear equations in two variables can be solved using one of five techniques. These techniques are described below:
Method of GraphicalMethod of Cross Multiplication, Cross Multiplication MethodElimination MethodDeterminant Method2x+5y=2 multiply this equation by 2
we get,
4x+10y=4
And the other equation is :-
5x+10y=17
Subtracting both the equation we get :-
4x+10y=4
5x+10y=17
- - -
________
-x =-13
x=13
y=2-26/5
y=-4.8 or -24/5
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Related Questions
Plot the point on this function with an x-value of 6.
What is the y-value of this point?
Answers
Answer:
7
Step-by-step explanation:
Answer:7
Step-by-step explanation:
Go to 6 on the x value and then follow that line up until you reach the purple line. Then go to the left and see what the y vaule is(Height)
if F,B, and D are midpoints of EC, AC, and AR respectively, then …
Answers
The lengths of the parts of the median lines FA, BE, CD, that extends from the vertices of the triangle ΔACE to the midpoints of the sides EC, AE, and AC are;
A. G is called the centroid of the triangle ΔACE
B. G is also the center of gravity of a uniform density triangle. The correct option is True; T
C. GF = 5
D. DC = 18
E. GB = 7
What is a median of a triangle?A median of a triangle is a line segment that extends from a vertex of a triangle to the midpoint of the side opposite the vertex
The midpoints of the sides of the triangle = F, B, and D
The midpoint of EC = F
The midpoint of AC = B
Midpoint of AE = D
A. The lines CD, BE, and FA are called median lines
The point of intersection of the three median lines of a triangle is the centroid of the triangle.
The point G is called the centroid of the triangleB. The centroid of a triangle and center of gravity of the triangle are located at the same position in a uniformly dense triangle, therefore, G is the center of gravity, True, T
C. In the relationship of a median, we get;
AG = (2/3)·FA
GF = (1/3)·FA
Therefore, AG = 2·(GF)
GF = 0.5 × AG
GF = 0.5 × 10 = 5
GF = 5
D. DG = (1/3) × DC
Therefore; DC = 3 × DG
DG = 6, therefore, DC = 3 × 6 = 18
DC = 18
E. EB = 21
GB = (1/3) × EB
Therefore; GB = (1/3) × 21 = 7
GB = 7
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Which table represents a function? Choose all that apply.
Hint: there are 3 correct answers
Answers
Answer:a,b,c
Step-by-step explanation:easy work just trust me
a chemical engineer wants to compare the hardness of four blends of paint. six samples of each paint blend were applied to a piece of metal. the pieces of metal were cured. then each sample was measured for hardness. in order to test for the equality of means and to assess the differences between pairs of means, the analyst uses a one-way anova with multiple comparisons, finding a resulting f test statistic of 6.02 with a p-value of .034. what is the appropriate statistical conclusion?
Answers
The appropriate statistical conclusion is that there is sufficient evidence to conclude that the means are different.
How to interpret the test results?The null and the alternative hypothesis for this problem are given as follows:
Null hypothesis: means are equal.Alternative hypothesis: means are different.The p-value and the significance level for this problem are given as follows:
p-value: 0.034.Significance level: 0.05. (this is the standard when the significance level is not stated).As the p-value is less than the significance level, there is enough evidence to reject the null hypothesis, thus the appropriate statistical conclusion is that there is enough evidence to conclude that the means are different.
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what is the hypotenuse???
Answers
To find the answer to this problem, you will need to use the Pythagorean Theorem.
What is the Pythagorean Theorem?
The Pythagorean Theorem is an equation that represents the summation of the sides of a right triangle.
a² + b² = c², where a is the shortest leg of the triangle, b is the longest leg and c is the hypothenuse.
You have been given a (12) and b (16)
First, plug your given information into the equation: 12² + 16² = c²
Next, simplify your equation by squaring both terms:
12² = 144
16² = 256
Then, add these two answers together: 144+ 256= 400
This leaves you with the equation: 400 = c²
To isolate the c as an individual term, take the square root of both sides:
[tex]\sqrt{400} = \sqrt{c^{2} }[/tex]
The above equation leaves you with the answer 20 = c, which is the hypothenuse
Gage bought 5 pairs of running shoes for $49 each.
He raised the price and sold the shoes for $65 each.
How much total profit did he make by selling all
five pairs of running shoes?
Answers
Answer:
$80
Step-by-step explanation:
His buying cost for 1 pair of shoes: $49
His selling price for 1 pair of shoes: $65
His profit on selling 1 pair of shoes: $65 - $49 = $16
His profit on selling 5 pairs of shoes: 5 × $16 = $80
The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write the
formula for the
The
n’th term of that sequence.
8,16,32,…
4,11,17,….
Answers
Answer:
The sequences below is geometric sequences. 8,16,32
Step-by-step explanation:
It is geometric as far as it goes.
Notice that the ratio between each successive pair of terms is constant:
4/2=2
8/4=2
16/8=2
That these ratios are all the same is sufficient for the given terms to form a geometric sequence with general term:
an=[tex]2^{n}[/tex]
The sequence then continues:
2
,
4
,
8
,
16
,
32
,
64
,
128
,
256
,
512
,
1024
,
2048
,
...
The question is in the "...". Any finite number of terms does not determine an infinite sequence.
For example we can match the sequence
2
,
4
,
8
,
16
with a cubic polynomial:
[tex]a_{n}[/tex]=1/3([tex]n^{3}[/tex] -3[tex]n^{2}[/tex] +8n)
Then we would find that the next terms would be
30
,
52
,
84
,
.
the second 4 11 ,17 is wrong
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Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Answers
∠2 is congruent to ∠6 based on corresponding angle theorem.
What is corresponding angle theorem?Corresponding angles are formed when two parallel lines are intersected by a transversal line.The corresponding angles theorem states that "when a line intersects two parallel lines, the corresponding angles in the two regions of intersection are congruent."Assume that A, B, and C are distinct lines. Then A and B are parallel if and only if the corresponding angles of intersection of A and C, as well as B and Care, are equal.So here ,
Since in this question they are corresponding angles of parallel lines cut by a transversal, they are ∠2 ≅ ∠6 according to the Vertical Angles Theorem.
The complete question is : "Lines c and d are parallel lines cut by transversal p. Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8. Which must be true by the corresponding angles theorem?"
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Question 5 of 6Maximize the objective function P = 5x + 3y for the given constraints.
x ≥ 0
y ≥ 0
3x + 6y ≤ 48
2x + 8y ≤ 56
Answers
On solving the provided question, we got that - The maximized value of the objective function is 38
what is function?Relationships between a group of inputs and one output per input are referred to as functions. A function is, to put it simply, a connection between inputs that are all connected to the same output. There is a domain and a codomain, or scope, for every function.
Given is the objective function:
Max P = 5x + 3y
The following are the constraints:
3x + 6y ≤ 48
2x + 8y ≤ 56 \sx ≥ 0 y ≥ 0
We employ the graphical method to achieve this.
The graph of the constraints is included as an attachment.
The graph leads us to the following doable point:
[tex](x,y) = (4,6)[/tex]
[tex]Substitute 4 for x and 6 for y in the objective function.\\Max P=5x+3y[/tex]
so,
[tex]P = 5x4+x6\\P = 38[/tex]
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Clare vwas solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can't find it. Where is Clare's mistake and what is the solution to the equation? 12(5 + 2y) = 4y- (5-9y) 72 + 24y = 4y -5-9y 72 + 24y = -5y -5 24y = -5y - 77 29y = -77 -77 y29
Answers
Clare's mistake is at the second step and the solution to the equation is -65/11.
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
Based on the information provided above, we can logically deduce that Clare's mistake is at the second step because the product of 12 and 5 is equal to 60, rather than 72. Additionally, Clare did not distribute the negative sign to all the terms of the equation.
By applying the distributive property of multiplication to the given mathematical expression, we have the following:
12(5 + 2y) = 4y - (5 - 9y)
60 + 24y = 4y - 5 + 9y
60 + 24y = 13y - 5
24y - 13y = -5 - 60
11y = -65
y = -65/11
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mrs. smith told her students that anyone who scores over 90% on the test will get an extra 30 minutes of recess. which group contingency is this?
Answers
Mrs. smith told her students that anyone who scores over 90% on the test will get an extra 30 minutes of recess: Among the group contingency this is an independent group,
What is group contingency?A particular kind of contingency known as a group contingency (GC) takes use of peer influence by using group reinforcement.
The instructor may use a group contingency to praise an entire class or a smaller subset of pupils for finishing assignments, exhibiting good classroom behavior, or engaging in other desired behavior. Multiple kids' problematic behaviors can be addressed at once using group contingencies.
Dependent, independent, and interdependent group contingencies are the three different types.
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The complete question is as follows:
Mrs. Smith implemented a procedure where she exclaimed that if any student scored over 90% on the test, they would get an extra 30 minutes of recess. Which group contingency is this?
a. Token economy
b. Dependent group contingency
c. Interdependent group contingency
d. Independent group
You are designing a rectangular poster to contain 48 in^2 of printing with a 3-in margin at the top and bottom and a 1-in margin at each side. What overall dimensions will minimize the amount of paper used?
Answers
To minimize the amount of paper used to create a rectangular poster with a given amount of printing and specific margins, you can use the formula for the area of a rectangle to determine the dimensions that will minimize the area of the poster.
In this case, the area of the poster must be at least 48 square inches to contain the printing, and the margins at the top and bottom must be 3 inches each, for a total of 6 inches. The margins at the sides must be 1 inch each, for a total of 2 inches. Therefore, the minimum area of the poster is 48 + 6 + 2 = 56 square inches.
To minimize the amount of paper used, we want to find the dimensions of the poster that will have the smallest possible area while still satisfying the constraints on the margins and the amount of printing. We can do this by using the formula for the area of a rectangle:
A = lw
where A is the area of the rectangle, l is the length, and w is the width.
In this case, we want to find the length and width that will minimize the area of the rectangle while still satisfying the constraints on the margins and the amount of printing. We can do this by setting the area of the rectangle equal to the minimum area we calculated above (56 square inches) and then solving for the length and width:
A = lw = 56
lw = 56
We can then use the constraints
There are technically ten configurations of poster measurements since the problem didn’t state if it was landscape or portrait in orientation. For example, l x w, using 6x8, changes to 8x14=112 sq in. since you added 2 in of length and 6 in of height; 8x6 changes to 10x12=120 sq in. The 4x12 and 12x4 variants yield 6x18 (108 sq in) and 14x10 (140 sq in). The 3x16 and 16x3 variants yield 5x22 (110) and 18x9 (162). Most likely the 2x24 and 1x48 print areas are not optimal, but yield 4x30=120, 26x8=208, 3x54=162, and 50x7=350, and make me wonder—what exactly is getting printed?! Context matters! At the end of all this, the 1x48 uses only 162 sq in of paper while maintaining the 48 sq in of printing space. That’s my answer. Go with the 1x48–>3x54=162 sq in. Good luck!
log: (x) + log3(2x - 1) = log3 (6)
Answers
The solution of the logarithmic expression is 2x² - x - 6 = 0.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is log(x) + log3(2x - 1) = log3 (6). The expression will be solved as below,
log(x) + log3(2x - 1) = log3 (6)
log ( 3x (2x-1) = log18
3x ( 2x - 1 ) = 18
x ( 2x - 1 ) = 6
2x² - x = 6
2x² - x - 6 = 0
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what is the equation of the line that passes through the point(-6,-7) and has a slope of 1/3
Answers
Answer:
The equation of the line that passes through the point (-6, -7) and has a slope of 1/3 is:
x - 3y + 15 = 0
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).
To find the equation of the line that passes through the point (-6, -7) and has a slope of 1/3, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line and m is the slope of the line.
Plugging in the given values, we have:
y - (-7) = (1/3)(x - (-6))
Which simplifies to:
y + 7 = (1/3)x + 2
Multiplying both sides by 3, we have:
3y + 21 = x + 6
Subtracting 21 and 6 from both sides, we have:
3y - x - 15 = 0
Therefore, the equation of the line that passes through the point (-6, -7) and has a slope of 1/3 is:
x - 3y + 15 = 0
The graph below is a polynomial function in the form f(x)=(x-a)(x-b). What are a and b?
A=
B=
Answers
The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.
What is meant by polynomial function?A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. For instance, the polynomial 2x+5 has an exponent of 1. The zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most common types of polynomials in precalculus and algebra.
Given,
f(x)=(x-a)(x-b)
From the above graph, f(x) passes through points (2, 0), (-1, 0), (0, -2)
Let us take (2, 0)
(2-a)(2-b)=0
4-2b-2a+ab=0
(-1, 0)⇒(-1-a)(-1-b)=0
1+b+a+ab=0
(0, -2)⇒-2=(-a)(-b)
ab= -2
a= -2/b
4-2b-2a-2=0
-2a-2b+2=0
a+b-1=0
b²-2b+b-2=0
b(b-2)+1(b-2)=0
b= 2 or b= -1
a+2-1=0
a= -1
a-1-1=0
a=2
The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.
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in a probability experiment, eric flipped a coin 36 times. the coin landed on heads 24 times. what is the ratio of heads to tails in this experiment?
Answers
The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.
What is the ratio?A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.
For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.
So, we know that the coin is flipped 36 times in the probability test:
Head = 24
Tails = 36 - 24 = 12
The ratio of heads to Tails:
Heads:Tails
24:12
24/12
2/1
2:1
Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.
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Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?
A.3/2
B.1/2
C.2/3
D.2/1
..........i need help past due
Answers
Answer: second and third from the top right
Step-by-step explanation: 1:2 and 1 to 2 are the same thing, and are ratios. The rest of the answers have nothing to do with ratios.
A kite flys in the air has an 11-ft line attached to it. It line pulled cast a 10ft shadow. Find the height of the kite. If necessary
Answers
Answer:
Step-by-step explanation:
Due to the cast of the shadow regardless of that the line will still be 11 feet due to the lines length
help pls explain!!!!!!!!!!!!
Answers
The value of the given logarithmic expression is -142.20.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the logarithmic values as,
log₃ (t) = 5.44
log₃ (y) = 11.03
log₃ (z) = 7.74
Now, the value of the expression can be written as,
12 log₃ (z⁷ / y⁵t²)
= 12 { log₃ (z⁷) - [ log₃ (y⁵) + log₃ (t²) ] }
= 12 { 7log₃ (z) - [ 5log₃ (y) + 2log₃ (t) ] }
= 12 [7×7.74 - (5×11.03 + 2×5.44)]
= 12 [ 54.18 - (55.15 + 10.88)]
= 12(54.18-66.03)
= 12 × (-11.85)
= -142.20
Hence, the value of the given expression is -142.20.
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Factor 2x^2 - 4x - 30 completely.
Answers
Answer: 2(x-5)(x+3)
Step-by-step explanation:
(x+3)(2x-10)
2(x-5)(x+3)
A drone is flying over a
baseball field, directly between
first and second base. The angle
of elevation from first and second
base to the drone is 77° 9' and
65° 45' 18", respectively.
If the bases are 90 feet apart,
find the height of the drone.
Answers
The height of the drone would be about 132.92 feet.
What is a tangent ratio in trigonometry?
The tangent ratio is the ratio of the opposite side to the adjacent side of a right triangle. Same to the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right-angle triangles.
Given that the angle of elevation from the first and second base to the drone is 77° 9' and 65° 45' 18", respectively.
[tex]77^o9'=77\frac{9}{60}=77.15^o[/tex]
[tex]65^o 45' 18"=65+\frac{45}{60}+\frac{18}{3600}\\\\65^o 45' 18"=65.755^o[/tex]
tan 77°9 = h/AD and tan 65.75°=h/DB
AD + DB = 90
h/tan 77°9 + h/65.75° = 90
Solving this we get
h ≈ 132.92 feet.
Hence, the height of the drone would be about 132.92 feet.
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i pray for help i hope someone see this
Answers
Answer:
Step-by-step explanation: Step one is distributive property because you distribute the numbers inside the parenthesis. Step 2 is communitive property because you switch the order. Step 3 is conbine-like terms. Step 4 is the addition property of equality. Step 5 is the division property of equality. Hope this helps!
373646351636646475753626266374747574884x848484893990299149440505944330309877=?
Answers
Answer: 1
Step-by-step explanation:
Answer:
totally not confused whatso ever
Step-by-step explanation:
What is the sampling method that involves taking a random selection of people from a defined population?.
Answers
Simple random sampling is a sort of probability sampling in which a subset of participants from a population is randomly chosen by the researcher. There is an equal opportunity for selection for every person in the population. Then, information is gathered from as much of this random subset as is feasible.
What is simple random sampling, and why is it significant?
One technique researchers employ to select a sample from a broader population is a simple random sampling.
If there is an equal chance that any subject in a population will be chosen, this strategy is effective. In order to draw general conclusions about a group, researchers choose basic random sampling.
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pls help
law of sines and cosines
Answers
Answer:
1. 29 2. 35
Step-by-step explanation:
check the attached file
Find the slope of the line.
Answers
Answer: -2
Step-by-step explanation:
Slope is rise/ run or y2 - y1 / x2 - x1
We see that y goes down by 6, and x go over by 3
So slope is -6/3 = -2
Write 3/4 in simplest form a decimal and percent
Answers
Answer:
1/ In decimal, 3/4 is 0.75
2/ In percent, 3/4 is 75%
Step-by-step explanation:
1/ take 3 divided by 4, and you will get 0.75 as an answer for decimal
2/ For percent, 3/4 is simple for of 75%/100%
The question is linked below, please respond asap its due really soon
Answers
The Domain and range tends to (-∞,∞) and for more clarity see the graph mentioned below.
Define Domain and Range
The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. Domain = the set of all x-coordinates Range = the set of all y-coordinates The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.Given expression is,
f(x) = -1/4x³ + 4x - 3
In this x ∈ R, so
Domain = (-∞,∞) , { x|x ∈ R }
Range = (-∞,∞) ,{ y|y ∈ R }
Hence, the Domain and range tends to (-∞,∞) and for more clarity see the graph mentioned below.
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Which of the following is approximately equal to the sum of the addition problem below?
8/9 + 9/10
A.
8/10
B.
1
C.
2
D.
1/2
Answers
Answer: 2
Step-by-step explanation:
[tex]\frac{8}{9} \approx 1\\\\\frac{9}{10} \approx 1\\\\\therefore \frac{8}{9}+\frac{9}{10} \approx 1+1=2[/tex]
The triangle has a perimeter of 65 feet. What are the lengths of sides l,m,
and n
The system of equations that represents this situation is 65= _________?
Answers
Answer:
65 = l + m + n
Step-by-step explanation:
The perimeter of a triangle is the sum of its 3 sides:
65 = l + m + n