solve the linear system by elimination. 4x-2y=15 2x+2y=3
Answers
Answer:
x=3 and y = -3/2
What is the elimination method?A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.
___________________________________
Let's solve your system by elimination.
4x−2y=15;2x+2y=3
4x−2y=15
2x+2y=3
Add these equations to eliminate y:
6x=18
Then solve 6x=18 for x:
6x=18
6x/6 = 18/6 (Divide both sides by 6)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x−2y=15
Substitute3 for x in 4x−2y=15:
(4)(3)−2y=15
−2y+12=15(Simplify both sides of the equation)
−2y+12+−12=15+−12(Add -12 to both sides)
−2y=3
-2y/-2 = 3/-2 (Divide both sides by -2)
y = -3/2
Answer:
x=3 and y = -3/2
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Y=-3\2 or -1.5
Or depends on what they want
Related Questions
Evaluate:
20
Σ 4(8/9)^n-1 = [?]
1
Round to the nearest hundredth.
Answers
Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
Given:
[tex]\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}[/tex]
Therefore:
a = 4r = 8/9Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:
[tex]\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}[/tex]
[tex]\implies S_{20}=32.58609013...[/tex]
[tex]\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)[/tex]
General form of geometric progression
ar^n-1On comparing to the summation
a=4r=8/9Apply Sum formula
[tex]\boxed{\sf S_n=\dfrac{a(1-r^n)}{1-r}}[/tex]
[tex]\\ \implies \sf S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}[/tex]
[tex]\\ \implies\sf S_{20}=32.586[/tex]
[tex]\\ \sf\mplies S_{20}=32.59[/tex]
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the expression below. For (x - 6)(x + 2) to equal 0, either (x - 6) or (x + 2) must equal . The values of x that would result in the given expression being equal to 0, in order from least to greatest, are and . Reset Next
Answers
The values of x that would result in the given expression being equal to 0 is -2, 6
Finding the solution to quadratic functionsGiven the following expression
f(x) = (x-6)(x+2)
If the function f(x) = 0, then;
(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0
Determine the value of x
x = 6 and x = -2
Hence the values of x that would result in the given expression being equal to 0 is -2, 6
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Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment
Answers
Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
The steps to copy a line segment are given below:
1. Let's start with a line segment AB that we have to copy.
2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so that the compass width is equal to the length of AB.
5. Without changing the compass width, now place the compass tip on point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
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Find the indicated length and explain your reasoning
Answers
Answer:
LM=25
MN=12
Now,
(M एउटै विन्दु हो)
LM+MN= LN
25+12=37
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C? yards
The direct distance from A to C is more than yards.
The inequality w < represents the distance, w, that Pete might save by taking the direct path.
Answers
The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.
Total distance if Pete walks from A to B to C:
= 15 + 25 = 40 yards
As we know in the triangle the sum of the two sides is greater than the third side.
25 + 15 > AC
The direct distance from A to C is more than 10(25-15) yards.
The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.
Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
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Answer:
40 yards, 10 yards, and 30 yards.
Was correct for me on edge 2023
Uhhhhhh????????????!
Answers
Answer:
2y + 3 = 4y + 2; y = 1/2
Step-by-step explanation:
to find this equation we can use the ys and the 1s to create an equation
so
in the left side
there are 2 ys and 3 1s
your equation is
2y + 3
on the other side
it is
4 ys and 2 1s
so
4y + 2 is your equation
then yo uset them equal to each other
2y + 3 = 4y + 2
if you must solve
subtract 2y and 2 from both sides
1 = 2y
then divide both sides by 2
y = 1/2 is your answer
Convert the angle from radians to degrees: [tex]\frac{5}{6}\pi[/tex] with working
Answers
Select the correct answer.
What is the solution for x in the equation?
4x-3+5=2x+7-8x
OA.x= -2
OB.x= 2
OC. = 1/2
OD.* = -1/2
Answers
[tex]\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+-3+5=2x+7+-8x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{(4x)+(-3+5)=(2x+-8)+(7) \ (Combine \ like \ terms) } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2+6x=-6x+7+6x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2=7 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2-2=7-2 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x=5 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{10x}{10}=\frac{5}{10} } \end{gathered}$}[/tex][tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{1}{2} } \end{gathered}$}}} \large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \boldsymbol{Answer} \end{gathered}$}[/tex]↓
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}[/tex]
[tex]\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
[tex]\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
[tex]\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
Cancel 2
[tex]\sf{2-3+5=1+7-8\times\dfrac{8}{2} }[/tex]
[tex]\sf{2-3+5=1+7-\dfrac{8}{2} }[/tex]
[tex]\sf{2-3+5=1+7-4 }[/tex]
[tex]\sf{-1+5=1+7-4}[/tex]
[tex]\sf{4=1+7-4}[/tex]
[tex]\sf{4=8-4}[/tex]
[tex]\sf{4=4}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}[/tex]
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
value of in the equation a=2+3+10
Answers
[tex]\huge{\boxed{\mathfrak{ANSWER}}} [/tex]
[tex]a=2+3+10[/tex]
[tex]a = 15 [/tex]
[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]
By the distributive law 49 x 17 + 49 x 3=
Answers
Answer:
49(17 + 3)
Step-by-step explanation:
The Distributive Law says [tex]a(b+c)=ab+ac[/tex]. But it can be used in the other direction, [tex]ab+ac=a(b+c)[/tex]. That way, you look at ab and ac to find the common factor a. What's playing the role of a in the expression 49 x 17 + 49 x 3? It's 49, the factor that shows up twice. That's the factor that can be taken outside the parentheses.
49 x 17 + 49 x 3 = 49(17 + 3)
factorise x - 2xz - 2xy + 4y². Show all the steps.
Answers
Answer:
1(x - 2xz - 2xy + 4y²)
Step-by-step explanation:
I notice that no term all of them have. which means itbwill be factorised via 1.
1(x - 2xz - 2xy + 4y²)
The vertex of this parabola is at (3-2). When the value is 4 the
y-value is 3. What is the coefficient of the squared expression in the
parabola's equation?
A. 7
B. 1
C. -1
D. 5
Answers
Answer:
D
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (3, - 2 ) , then
y = a(x - 3)² - 2
to find a substitute the point (4, 3 ) into the equation
3 = a(4 - 3)² - 2 ( add 2 to both sides )
5 = a × 1² = a
the coefficient of the squared expression is 5
Homework Progress 46 / 90 Marks Work out the length of AB. Give your answer to 3 significant figures. A (-1, 6) B (5, 3) X + Homework Progress 46 / 90 Marks Work out the length of AB . Give your answer to 3 significant figures . A ( -1 , 6 ) B ( 5 , 3 ) X +
Answers
Answer: 6.71
Step-by-step explanation:
[tex]AB=\sqrt{(-1-5)^{2}+(6-3)^{2}} \approx \boxed{6.71}[/tex]
What is 5 ones , 38 tens , 27 hundreds , and 5 thousands? Write the number in word form and expanded form
Answers
Answer:
Eight thousand eighty five, 8000 + 80 + 5
Explanation:
Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:
5 + 380 + 2700 + 5000
This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.
Trigonometric ratios apply only to right triangles and not to oblique triangles.
true
false
Answers
Answer:
[tex]\fbox {True}[/tex]
Step-by-step explanation:
Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.
Step-by-step explanation:
hope you can understand
m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°
Answers
Answer: x = 44
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees so:
(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]The sum of a number 8 and twice the number X is 28
Answers
ANSWERS ARE AT THE BOTTOM
To solve this question, we need to write the questions algebraically. Let's look at the problem first: The sum of a number 8, and twice the number x is equal to 28.
Algebraic form:
8 + 2x = 28
Lets solve this!
8 + 2x = 28 (Algebraic Form)
2x = 28 - 8 (Subtract 8 from both sides)
2x = 20 (Divide by 2)
x = 10 (Answer)
ANSWER:
x = 10
Solve the Proportion.
10/a = 15/24
a=?
Answers
Answer:
a=16
Step-by-step explanation:
10/a=15/24, a≠0
10/a=5/8
80=5a
5a=80
a=16,a≠0
a=16
10/a = 5/8
Because 10 divided by 2 equals 5, we could multiply 8 by 2 to get what our denominator that is missing would be. 8 x 2 = 16, so a = 16. 10/16 = 15/24.
Your final answer: a = 16
Fill in the table with the appropriate value to describe the amount of hot dogs eaten at a hot dog eating contest.
Which value should be placed in the empty space in the table?
A. 1/6
B. 1/4
C. 1/12
D. 1/8
Answers
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that there were 10 people at the hot dog eating contest. If each person eats 2 hot dog, hence:
Number of hot dogs eaten = 2 hot dog per person * 10 people = 20 hot dogs.
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
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A biased dice is rolled 100 times.
The results are shown below in the table.
Result 1 2 3 4 5 6
Frequency 12 29 26 9 14 10
Estimate the probability of rolling a prime number?
Answers
Answer:
0.69 or 69% :)
Step-by-step explanation:
Prime numbers: 2, 3, 5
Now lets add :)
29 + 26 + 14
29 + 40
69
Now we add all numbers together and divide by our first number 69 :)
12 + 29 + 26 + 9 + 14 + 10
41 + 26 + 9 + 14 + 10
67 + 9 + 14 + 10
76 + 14 + 10
90 + 10
100
69/100 = 0.69 = 69% :D
Have an amazing day!!
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Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)
Answers
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(10+4)/2=7
(6+9)/2=7.5
(7,7.5)
Smith rides his cycle at the speed of 10 mile per hour. How many miles smith travels in 4 hours ?
Answers
Answer:
40 miles
Step-by-step explanation:
10X4
The answer is 40 miles
-------------------------------------------------------
If he consistently rides ten mph (miles per hour) for 4 hours (4*10) he would have ridden 40 miles.
Complete the steps 4/9 divided by 1/2
Answers
Answer: 0.88 (the 8 recurs)
Step-by-step explanation:
[tex]\frac{4}{9}[/tex]÷[tex]\frac{1}{2}[/tex]
[tex]\frac{4}{9}[/tex]×[tex]\frac{2}{1}[/tex] (Then the the fraction should reciprocal so the values should shift to the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)
then u should multiply the two fractions which gives 8/9
next you should divide 8 by 9 which gives 0.88(the number eight is recurring which means that the number 8 keeps repeating no matter how many times you try to divide)
abc has a $5 million liability at december 31, 2018, of which $1 million is payable in each of the next five years. abc reports the liability on the balance sheet as a:
Answers
ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.
What are current and long-term liabilities?A current liability is a liability that is payable within 12 months or one year.
On the other hand, a long-term liability is a liability that is payable after 12 months or one year.
Since $1 million is payable in each of the next five years, this implies $1 million is payable within one year while $4 million is payable after one year.
Therefore, ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.
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Can you solve these questions and explain them for me? Thank you
Answers
Step-by-step explanation:
When folding up the box, x will be the height
(30-2x) will be the length
(25-2x) will be the width so
[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]
b. First, we can't have negative length or zero length so x must be Positve.
Set the other binomial equal to 0.
[tex]30 - 2x > 0[/tex]
[tex] - 2x > - 30[/tex]
[tex]x < 15[/tex]
[tex]25 - 2x > 0[/tex]
[tex] - 2x > - 25[/tex]
[tex]x < 12.5[/tex]
So our domain is
(0,12.5), meaning our value of x must be greater than 0 and less than 12.5
area = in
help me please ty:)
Answers
Answer:
36 inches but im really not sure though because you got to times them together and then divide by 2
PLS HELP
Select the correct answer.
Consider function f.
f(x) = 2x²
What is the value of (f of)(x)?
A.
B.
OC.
D.
8x4
16x4
4x4
4x²
Answers
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} [/tex]
[tex] \: [/tex]
[tex] = (f \circ f)(x)[/tex]
[tex] = f(f(x))[/tex]
[tex] = 2 {x}^{2} [/tex]
[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]
[tex] = 2( {2}^{2} {x}^{2 + 2} )[/tex]
[tex] = 2(4 {x}^{4} )[/tex]
[tex] = 8 {x}^{4} [/tex]
The answer is A.
If f(x) = 2x – 5, find the inverse. This function passes the Horizontal Line Test which means it is a onetoone function that has an inverse. y = 2x – 5 Change f(x) to y. x = 2y – 5 Switch x and y. Solve for y by adding 5 to each side and then dividing each side by 2.
Answers
A function assigns the values. The inverse of the function is y = (x+5)/2.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of the function, the function is needed to be solved for x, and then replace x with y and vice versa. Therefore, the inverse of the function will be,
f(x) = y = 2x - 5
y = 2x - 5
y + 5 = 2x
x = (y+5)/2
y = (x+5)/2
Hence, the inverse of the function is y = (x+5)/2.
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Please help me!!!!!! Geometry
Answers
For which graph is the parent function y=x^2
On a coordinate plane, a parabola opens up and has a vertex at (negative 1, negative 2).
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a cubic root function is shown.
On a coordinate plane, an absolute value function is shown.
Answers
y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)
What is the standard equation of a parabola ?The standard equation of a parabola is given by
y =a(x-h)² +k
Vertex at h , k
It is given that It has to be chosen from the options that whose parent function is
y = x²
As the plot of the first option is done , which is shown in the figure ,
The parabola is given by
y = (x +1)² +2
and the parent function is y = x²
Therefore the Option 1 is the answer.
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