Answers
The first equation will be multiplied by 3 and that of the second by 4.
What is an elimination method?An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.
Given that are two equations to be solved by using elimination method,
-4x+4y = 32.....(i)
3x-y = 12......(ii)
To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4
-12x+12y = 96.....(iii)
12x-4y = 48....(iv)
Solving the equations, we get,
8y = 144
y = 18
Put y = 18 in eq (ii)
3x-18 = 12
3x = 30
x = 10
Hence, the first equation will be multiplied by 3 and that of the second by 4.
Learn more about elimination method, click;
https://brainly.com/question/12090959
#SPJ1
Related Questions
a3 - c + b, when a=3, b=6, c=8
Answers
Answer:
7
Step-by-step explanation:
In order to find the answer to the equation, you must substitute the given values into the equation.
A^3 - C + B
We know that A = 3, B = 6, and C = 8
(3)^3 - (8) + (6)
9 - 8 + 6
1 + 6
7
Help!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
CL congruent with CM
WX congruent with YZ
32 = 32
what is the correct way to read 201,445
Answers
Answer:
Step-by-step explanation:
two hundred one thousand four hundred forty five
Answer:
two-hundred one thousand four hundred-forty-five
Hope this helps!
Mark me brainliest if I'm right :)
Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to paint each?
Answers
Answer:
0.16 or 0.2 if rounded
Step-by-step explanation:
4 gallons divided by 25 chairs equals 0.16 gallons for each chair
hope this helps <3
Solve on the interval [0,2pi): 1- cos0= 1/2
Answers
Using an inverse trigonometric function, we will find that the solution is:
θ = 1.047
How to solve that equation?Here we want to solve the equation:
1 - cos(θ) = 1/2
Such that θ ∈ [0,2pi)
Now let's return to our equation:
1 - cos(θ) = 1/2
1 - 1/2 = cos(θ)
1/2 = cos(θ)
Now we could apply the inverse cosine function to both sides, then we will get:
Acos(1/2) = Acos(cos(θ))
1.047 = θ
That is the solution.
Learn more about cosine functions:
https://brainly.com/question/8120556
#SPJ1
Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
Answers
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin. Option C
What is a proportional relationship?We can say that a relationship is proportional when the relation does lead to a straight line graph and the graph would have to be able to pass through the origin.
Hence, even if we have a straight line graph but the graph does not pass through the origin of the graph then we can not say that the relationship that is existing between the coordinates that have been shown is proportional.
Learn more about proportional relationship:https://brainly.com/question/29765554
#SPJ1
The following is a list of books I read this summer what percent of my books were nonfiction nonfiction equals 8 fiction equals 17
Answers
Answer:
About 47% of books were nonfiction.
The actual percentage includes decimals and it would be this:
%47.0588235294
eva invest $120 at a rate of 3% per year compound interest. calculate the total amount eva has after 2 years
Answers
Answer:
Eva has $127.31 after 2 years.
Step-by-step explanation:
Here is the formula for compound interest
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.
We are given
[tex]P=120\\r=0.03\\n=1\\t=2[/tex]
Substitute our numbers into the equation
[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]
[tex]A=120(1.03)^{2}[/tex]
[tex]A=120*1.03^{2}[/tex]
[tex]A=120*1.0609[/tex]
[tex]A=127.308[/tex]
What is the slope of the line through (2, -1) and (-2, -3)?
Answers
Triangle FGH has vertices F(1, –5), G(6, 0), and H(1, 0). What is the approximate perimeter of this triangle?
Answers
Function Representations
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Answers
Answer:
See joint picture.
Step-by-step explanation:
The study lasts 6 days. Since the amount of plant food decreased an equal amount each day, and since the whole 72 millimeters were used, it means that plants consumed 72/6 = 12 millimeters daily.
All the results given come from this justification.
The required consumption of each day is 12 mm.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information
The statistic is the study of mathematics which deal with relations between comprehensive data.
Since
observation run for 6 days and have 72 mm of food has been fed each day.
at the end of 6 day food remains 0 mm i.e.
Rate at which food has been fed for each day is given by
= 72/6 = 12
12 mm of food has been fed every day for to the 6 days.
At day 0 we have 72 mm of food
At day 1 we have 60 mm of food
similary for
At day 6 we have 0 mm of food
Thus the graph has been attached below for the values of x
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2
solve number 13 please
Answers
The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105 .
What is expression ?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
An algebraic expression is made up of a number of variables, constants, and mathematical operations. We are aware that variables have a wide range of values and no set value. They can be multiplied, divided, added, subtracted, and other mathematical operations since they are numbers. as in 3x Plus 4.
Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 6t^4+ 3t³ – 2t² + 5t + 60
I = 3t^4 - 3t³ + 5t² - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 6t^4+ 3t³ – 2t² + 5t + 60 + 3t^4 - 3t³ + 5t² - 5t + 45
{A} = 9t^4 + 3t² + 105
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105
To learn more about expression from the given link
https://brainly.com/question/15775620
#SPJ1
Complete this division sentence.
5884÷94 =
R
Answers
The remainder of the given division 5884/ 94 is 56 and hence the complete sentence is 5884/94 = 62 + 56/94.
What is remainder and how to find a remainder?The amount that remains after division is complete is known as a remnant. Simply divide the number by another number that is one of its multiples to obtain the remainder.
The division of any number can be written as follows:
a/n = q + r/n
where, a is the dividend, n is the divisor, r is the remainder and q is the quotient.
When we divide the number 5884 by 94 using the long division method the quotient is 62 and the remainder is 56.
Hence, the complete sentence is 5884/94 = 62 + 56/94.
Learn more about division here:
https://brainly.com/question/21416852
#SPJ1
Jessie pays $2 for each carnival ride plus $8
on food. His mom told him he could spend at
most $35. Write an algebraic inequality that
shows at most how many rides Jessie can
ride. Let x=number of rides he can get on.
Answers
Rewrite that is
$2x + 8 ≤ 35
I hope this helped and that I was right, have a nice day.
b.) Suppose the Governor of Louisiana decided that all license plates must begin with the
letter A on each license plate. How many fewer license plates would
Louisiana be able to issue using the Governor's mandate for license plates?
Answers
Answer: atleast alot
Step-by-step explanation:
What is the midline of this function? y=
What is the amplitude of this function?
Define a function, g, to represent the behavior of the graphed function. g(a)= NO LINKS.
Answers
Answers:
Midline: y = 0Amplitude = 1.5Function: g(x) = 1.5sin(0.5x + pi/4)There are infinitely many possible ways to answer the third part.
===========================================================
Explanation:
The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.
---------
The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.
---------
The general format of a sine curve is
y = A*sin(B(x-C)) + D
where,
|A| = amplitudeB = variable tied with the period T, specifically B = 2pi/TC = handles the left and right phase shiftD = handles the vertical shifting, and y = D is the midline.In this case, we found so far that
|A| = 1.5 which could lead to A = 1.5B = 2pi/(4pi) = 0.5 since T = 4pi is the periodD = 0The only thing we're missing is the value of C, which is the phase shift.
Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2
This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.
So,
B(x-C) = pi/2
0.5(pi/2-C) = pi/2
pi/4 - C/2 = pi/2
4*( pi/4 - C/2 ) = 4*(pi/2)
pi - 2C = 2pi
-2C = 2pi - pi
-2C = pi
C = pi/(-2)
C = -pi/2
This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)
This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.
Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.
Which statements are true about the figure? Check all that apply.
THE COM
5725
The figure is a triangular prism.
The figure is a rectangular pyramid.
ООО
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.
Answers
Answer:
b took the test
Step-by-step explanation:
The true statements about the figure are (a) The figure is a triangular prism, (c) The figure has 6 vertices and (e) The figure has 9 edges.
What is Triangular Prism?Triangular prisms are three dimensional figure consisting of two triangular bases and three rectangular lateral faces.
Given that, a net has 3 rectangular faces and 2 triangular faces.
This must be a triangular prism by the definition of triangular prism.
The figure will not be a rectangular pyramid since the rectangular pyramid only has 1 rectangular base.
The number of vertices are 6, since there are three vertices for each triangle.
There are only 5 faces for the given net which is 3 rectangular faces + 2 triangular faces.
There are 3 edges each for two triangles forming 6 edges and there 3 edges for the rectangle, a total of 9 edges.
Hence the correct statements are (a), (c) and (e).
Learn more about Triangular Prism here :
https://brainly.com/question/16909441
#SPJ7
Your question is incomplete. The complete question is as follows :
Which statements are true about the figure? Check all that apply.
A net has 3 rectangular faces and 2 triangular faces.
a)The figure is a triangular prism.
b)The figure is a rectangular pyramid.
c)The figure has 6 vertices.
d)The figure has 6 faces.
e)The figure has 9 edges.
Eli shows that triangle A is congruent to triangle B by rotating triangle A around point
K and then translating it so it matches up with triangle B exactly. Which conclusion
can be drawn from Eli's transformations?
Answers
Answer:
All Sides are equal to their corresponding ones [SK = BG and so on...]
All angles are equal to thei corresponding angles [angle(T) = angle(I) and so on..]
(C.P.C.T)
Step-by-step explanation:
From the given figure, ignoring the fact that she rotated it, we can prove that the two triangles are congruent by RHS congruence criterion.
After proving so, we can use C.P.C.T to find the relations.
Hope it helps. Thank you :)
Joe wrote an inequality
for each of the following
statements. Decide whether
Joe's written inequality is
TRUE or FALSE based on
what's typed and compare it
to what he actually wrote.
A
The sum of a number and 7 is not more than 10
x + 7 < 10
B
The product of a number and 4 is at least 20
4X > 20
C
The difference between a 15 and a number is at most 12
15-x>12
D
The quotient of a number and 8 is greater than or equal to
8x <3
Answers
Answer:Please see answer in explanation column
Step-by-step explanation:
A
The sum of a number and 7 is not more than 10
Given answer: x + 7 < 10 , This is false
Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as
x + 7 ≤ 10
B
The product of a number and 4 is at least 20
Given answer: 4X > 20 ---- False
Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as
4X ≥ 20
C
The difference between a 15 and a number is at most 12
Given answer: 15-x>12----False
Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as
15-x ≤ 12
D
The quotient of a number and 8 is greater than or equal to
Given answer 8x <3 --False
Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3
pleasee help with these questions
Answers
Answer:
6. 3.14 7. 172.03 8. 78.54 9. 380.13 10. 19.63 11.28.27
What is the solution of the system of equations? Show your work.
4x - 2y = 10
2x + y = -3
Answers
Answer:
no solutions
Step-by-step explanation:
you have to divide the whole first equation by 2 and you would get
2x+y=5
2x+y=-3
That is not true the same thing can’t have different outcomes.
it is no solution
You want to compare the ratios 3:12 and 7:28 to see if they're equal. You know that you need to compare the products of the extremes against the product of the means. Which two values are the means for this comparison? A. 3 and 7 B. 12 and 28 C. 3 and 28 D. 12 and 7
Answers
Answer:
Step-by-step explanation:
3:12 7:28
The means are the second and third terms in the proportion.
The extremes are the two outside terms.
12 and 7 are the means.
(3 and 28 are the extremes.)
So thre answer is D. 12 and 7.
Distribution of toys : Is this different or just the division with remainder
Answers
Answer:
Step-by-step explanation:
20)63(3
-60
-------
3
so every children gets 3 toys but 3 toys are left which can be distributed among 3 children.
so 3 children get 1 toy more.
Hence 3 children get 3+1=4 toys (each)
Drag the names to match the geometric terms as shown in the diagram.
Answers
Just so you know, there's no diagram
Expand and simplify
(X-2)(3x+3)(x+1)
Answers
Answer:
5x+2
Step-by-step explanation:
Josh must submit 4 paintings as part of his
application to art school. If he has 25 to choose
from, how many ways can he pick 4?
Answers
Answer: 4,096
Step-by-step explanation:
There are 12650 ways for pick 4 paintings.
Given:
He has 25 to choose.
No. of ways he can pick 4 in 25 = 25 C 4.
[tex]\frac{25!}{4!(25-4)!} =\frac{25}{4!\times2!} =12650\\[/tex]
Therefore, 12650 ways for pick 4 paintings.
Learn more about this:
https://brainly.com/question/14432653
#SPJ2
What is the equation of a line with a slope of 3 and a point (3. 1) on the line? Express the equation in the form of y Enter your answer in the box mz+ b where m is the slope and b is the y-intercept
Answers
A line with a slope of three and the point three on the line have the equation y=3 z+1. The equation of a straight line can be found using the formula y = mx + b.
What do you meant by y-intercept ?If a line has a slope of 3 and a y intercept of 1, you need to determine its equation. Remember the line's equation by first going back: when y=mz+b , M is the slope, and Y-intercept b is the value.
In order to solve for y in the equation y=m z+b, all you need to do is swap out m for 3, the slope you provided, and b for 1, the y-intercept. The line's equation is given by y=3 z+1, where z represents the line's y-intercept and slope. If you are aware of the slope of the line being studied and the provided point is also the y intercept, you can utilise the slope intercept formula, y=mx+b (0,b).
To learn more about intercept refer to :
https://brainly.com/question/24363347
#SPJ1
use the equation y=7x to complete the table what are the missing values
Answers
Answer:
your answer is correct
Step-by-step explanation:
7(2) = 14
7(4) = 28
Help me out.....please
Answers
Answer:
2.5
Step-by-step explanation:
the radius is half of a diameter so
radius = 5/2 = 2.5 inches
Answer:
2.3
Step-by-step explanation:
A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.
x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0
If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)? (5 points)
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.
Answers
Examining the polynomial function g(x) as given in the table the end behavior is
As x → –∞, g(x) → –∞ and as x → ∞, g(x) → ∞.What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of polynomial functionThe given table when examined shows that there was three zeros hence the graph is that of odd function
The end behavior of an odd function with positive leading coefficient is
x ⇒ ∞ f(x) ⇒ ∞: as x tends to positive infinity the function tends to positive infinity
x ⇒ -∞ f(x) ⇒ -∞: as x tends to negative infinity the function tends to negative infinity
Learn more about end behavior here:
https://brainly.com/question/28954897
#SPJ1