Answer:
[tex]\frac{x-2}{x^2-x-2}[/tex]
Step-by-step explanation:
A removable discontinuity is when there is a hole in your graph. This is usually because one X value has been canceled out. Most of the time, it takes factoring to figure out if there is a removable discontinuity when looking at an equation.
First, look at the numerator [tex]x-2[/tex] . This can't be factored any further. However, [tex]x^2-x-2[/tex] can be factored since it is a trinomial (has three terms) .
For the purposes of this example, you may want to think about it as
[tex]1x^2 -1x-2[/tex]
To factor, multiply the the outside coefficients
1 x -2 = -2
Now take the middle coefficient (-1) and ask yourself what two numbers multiply to make -2, but still add to be -1.
-2 x 1 = -2
-2 + 1 = -1
So in factored form, the equation is
[tex]\frac{x-2}{(x-2)(x+1)}[/tex]
Since you have x-2 on both top and bottom, that can be canceled out. x - 2 would be your removable discontinuity in this situation.
A removable discontinuity can occur in a function if there are common factors in both the numerator and denominator that can be canceled out.
Explanation:A function has a removable discontinuity at a particular point if the function is undefined at that point but can be made continuous by redefining the value at that point. To identify the removable discontinuity, we need to factor both the numerator and denominator of the function. By factoring, we can determine if any common factors exist that can be canceled out, resulting in a removable discontinuity.
Let's consider the given functions:
x-2/x^2-x-2: The denominator can be factored as (x-2)(x+1). We can cancel out the common factor x-2, resulting in a removable discontinuity at x=2.x^2-x+2/x+1: The numerator cannot be factored, so there are no removable discontinuities in this function.5x/1-x^2: The numerator and the denominator have no common factors to cancel out, so there are no removable discontinuities in this function.Learn more about Removable Discontinuity here:https://brainly.com/question/24162698
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A city determines that a planned community must have at least 4 acres of developed and open space, and the difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1. Which graph represents the system of inequalities for this scenario? x + y ≤ 4 y – x ≥ 1
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x ----> the number of open acres
y ----> the number of developed acres
we know that
[tex]x+y \geq 4[/tex] -----> inequality A
The solution of the inequality A is the shaded area above the solid line [tex]x+y=4[/tex]
[tex]y-x\leq 1[/tex] -----> inequality B
The solution of the inequality B is the shaded area below the solid line [tex]y-x=1[/tex]
so
The graph in the attached figure
Answer:
Option B.
Step-by-step explanation:
Let x be the number of open acres and y be the number of developed acres.
It is given that a community must have at least 4 acres of developed and open space.
[tex]x+y\geq 4[/tex]
The difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1.
[tex]y-x\leq 1[/tex]
The relative equations of both inequalities are
[tex]x+y=4[/tex]
[tex]y-x=1[/tex]
The table of values
For line 1 For line 2
x y x y
0 4 0 1
4 0 -1 0
Plot these ordered pairs on a coordinate plane and draw both lines.
The related line of first inequality is a solid line and shaded area lies above the line because the sign of inequality is ≥.
The related line of second inequality is a solid line and shaded area lies below the line because the sign of inequality is ≤.
Therefore, the correct option is B.
Explain how you would graph the line y = 2/3x + 3 using its slope and y-intercept.
Answer:
Slope = 2/3 Y intercept +3
Step-by-step explanation:
Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.
Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.
The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).
Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.
Answer:
Step-by-step explanation:
You find positive 3 and you put a dot on it, you begin to go up 2 then 3 to the right and put a point. Now connect those two dots and continue until you have no more space.
3 radical 12 times 5 radical 2
Answer:
Step-by-step explanation:
3*√12 * 5*√2
15 √24
15 √(2*2*2*3)
15*2 √6
30√6
If LMNO is a rectangle, and m_MON = 30°, what is the value of x?
Answer:
120
Step-by-step explanation:
a pex
A school district needs 3 teachers for every 70 students. They expect to have 14,700 in the district next year. At this time they have 612 teachers. How many more teachers are needed.
Answer:
18
Step-by-step explanation:
We can use a proportion to find out the number of teachers that are needed.
3/70 = x/14,700
70x = 3 * 14,700
70x = 44,100
x = 630
630 teachers are needed altogether. Since there are already 612 teachers, the number of more teachers who are needed is the difference between 630 and 612.
630 - 612 = 18
Answer: 18
What are the measures of angles Q and R
Angle Q = 93° & angle R = 87°
What is the relation between adjacent sides of parallelogram ?
The sum of any two adjacent angles of a parallelogram is equal to 180°, i.e. they are supplementary angles.
What are the values of required angles ?In parallelogram QRST,
∠Q= (9x-6)° & ∠R= (8x-1)°
Here, angle Q & angle R are adjacent angles of the parallelogram QRST.
∴ ∠Q+∠R = 180°
⇒ (9x-6)+(8x-1)= 180
⇒ 9x-6+8x-1 = 180
⇒ 17x-7= 180
⇒ 17x = 180+7
⇒ 17x = 187
⇒ x = 187/17
⇒ x = 11
So, ∠Q= (9x-6)° = {(9×11)-6}° = (99-6)° = 93°
& ∠R= (8x-1)° = {(8×11)-1}° = (88-1)°= 87°
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The area of a rectangular back yard is 55 square meters. The length of the yard is one meter greater than twice the width.
What is the width of the yard in meters?
Provide your answer below:
Step-by-step explanation:
Area of a rectangular backyard is given as 55 m²
the length is 1 m greater than the twice the width
=>l=2w+1---(say A)
we know that
Area of a rectangle is always length * width=A=l*w
Divide both sides by w
A/w=l
put this value of l in (A)
A/w=2w+1
multiply both sides by w
A=w(2w+1)
55=2w²+w
subtract 55 from both sides
2w²+w-55=0
2w²-10w+11w-55=0
2w(w-5)+11(w-5)=0
(2w+11)(w-5)=0
(2w+11=0 , w-5=0
2w=-11. , w=5
w=-11/2 m
width can never be a negative integer so we omit -11/2
we will consider w=5m
put this in (A)
l= 2(5)+1
l=10+1
l=11m
checking ,
A=lw
A=(11m)(5m)
A=55m²
Answer:
5
Step-by-step explanation:
Area= 55
width=y(unknown)
length=1+2y(given)
formula for finding A.=l*b
(1+2y)(y)= y+2y^2
y+2y^2=55
2y^2= 55-y
y=5
verification
2*5^2=55-5
2*25=55-5
Find the measure of b in the picture please
Answer:
The correct answer option is B. 126°.
Step-by-step explanation:
We are given a figure where triangle within a triangle is inscribed in a circle and we are to find the measure of angle b.
From the given figure, we can see that the angle b is at the center of the circle. So this must be an isosceles with two sides equal to each other.
If that is the case, then angle a must be equal to 27° so we can find the measure of angle b.
∠b = 180° - (27° + 27°)
∠b = 126°
a watch is getting slow by 2 minutes for each hour in a day . if it shows 10 am now. what shall be the time after 12hours
Answer:
9:36 p.m.
Step-by-step explanation:
10 am + 12 hours = 10:00 pm
2 minutes every hour
12 hours x 2 = 24 minutes
12*2=24
10:00+12:00-0:24=21:36
Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more. If she started with 46 stamps, how many does she have now?
Answer:
starts wuth 46, and sells half, so she has 23. then when she buys 17 more she then has 40.
if you are asked to show work its 46/2=23, then 23+17=40!
Answer:
40 stamps
Step-by-step explanation:
She started with 46 stamps.
She sold half of them
46*1/2 = 23
She sold 23 46-23 = 23
So she has 23 stamps
Then she bought 17
23+17 = 40
She now has 40 stamps
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
The slope is the change in Y over the change in x:
Using the two points shown on the graph:
(1,7) and (0,0)
Slope = (7-0) / (1-0)
Slope = 7/1
Slope = 7
The number if front of the x would be the slope
The answer would be D. y = 7x
Identify the parent function of the equation below.
Answer:
y = x² ⇒ answer C
Step-by-step explanation:
* Lets explain the problem
∵ The function is y = 1/2 x² + 3 , that means the parent function is
transformed by some transformation
- If the parent function is y = x²
- y = x² is a quadratic function represented graphically by upward
parabola with vertex (0 , 0)
∵ y = x² changed to y = 1/2 x² that means we multiply each
y-coordinates of the points on the graph of the function by 1/2
∴ The graph of the function is compressed vertically by scale
factor 1/2
- That means the graph is squeezing toward the x-axis
∵ y = 1/2 x² changed to y = 1/2 x² + 3 that means we add each
y-coordinates of the points on the graph of the function by 3
∴ The function translated 3 units up
- That means the vertex of the parabola changed to (0 , 3)
∴ The new function is y = 1/2 x² + 3
* The parent function of y = 1/2 x² + 3 is y = x²
# Look to the attached graph for more understand
- y = x² ⇒ the red graph (parent function)
- y = 1/2 x² + 3 ⇒ the blue graph
How can you tell whether a counting problem is a permutation or combination problem? Give examples to support your answer
Answer:
Step-by-step explanation:
Permutation is the ways in which a fixed group or members that can be arranged or ordered and combinations are used when a smaller group has to be chosen from a larger group.
Examples:
Permutation: How many unique combinations of the word MAHNOOR can be formed when the letters will be scrambled
2. In what order or arrangements five people can be seated in the front row?
The number of people are fixed, we have to find the order.
Combination: Choosing two cards from a deck of 52 cards. We are choosing a small group from a larger group of all cards.
2. Choosing 4 students from a class to take part in the competition.
The selection can be made in multiple ways ..
Answer:
Permutation - requires to arrange order with quantities
Combination - order is not required
Step-by-step explanation:
If a question demands you to select as well as arrange the given quantities then it means that it is a problem of permutation.
While on the other hand, a problem of combination would only ask you to select the quantities and not their order.
So with practice, you get to know how exactly it works.
What is a root of a polynomial function?
A. The value of the polynomial function when zero is substituted for the variable
B. A value of the variable that makes the polynomial equal to zero
C. The coefficient of the leading term of the polynomial
D. The coefficient of the polynomial that is equal to zero
Answer:
B
Step-by-step explanation:
a root of a polynomial function is a value of the variable that makes the polynomial equal to zero.
A root of a polynomial function is,
⇒ A value of the variable that makes the polynomial equal to zero.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A root of a polynomial function.
We know that;
The root of a polynomial function is satisfy the equation.
That's mean;
A value of the variable that makes the polynomial equal to zero is called root of the function.
Therefore, A root of a polynomial function is,
⇒ A value of the variable that makes the polynomial equal to zero.
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Use synthetic division to solve (x4- 1) = (x - 1). What is the quotient?
x3 -x2+x-1
O x3
x+x2+x+1
x3-2
Answer:
The quotient is x³+x²+x+1
Step-by-step explanation:
=(x^4-1) ÷ (x-1)
=(x^4-1)/ (x-1)
Solve the numerator by using perfect square formula:
⇒x^4-1 = (x²-1)(x²+1)
=(x²-1)(x²+1)/(x-1)
Further solve the numerator by using perfect square formula:
=(x+1)(x-1)(x²+1)/(x-1)
Cancel the like terms of numerator and denominator
We get;
=(x+1)(x²+1)
Multiply the terms:
=x³+x+x²+1
Re-arrange the terms:
=x³+x²+x+1
Hence the quotient is x³+x²+x+1....
Answer:
C
Step-by-step explanation:
Simplify (1 − cos x)(1 + cos x). (2 points)
Answer:
sin²x
Step-by-step explanation:
we have
(1 − cos x)(1 + cos x)=1-cos²x
Remember that
sin²x+cos²x=1 ------> i-cos²x=sin²x
therefore
(1 − cos x)(1 + cos x)=sin²x
Answer:
[tex]sin^2x[/tex]
Step-by-step explanation:
Given expression,
[tex](1 - cos x)(1 + cos x)[/tex]
By using [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex](1 - cos x)(1 + cos x)=1^2 - cos^2x = 1 - cos^2x[/tex]
[tex]\because sin^2x+cos^2x=1[/tex]
[tex]\implies (1 - cos x)(1 + cos x)=sin^2x+cos^2x - cos^2x=sin^2x[/tex]
Since, further simplification is not possible,
Hence, the simplified form of the given expression is [tex]sin^2x[/tex]
What is the volume of a right cylinder which has a base radius of 14 inches and a height of 2 inches?
A) 1,319 in3
B) 1,231 in3
C) 942 in3
D) 879 in3
Answer:
B) 1,231 in3
Step-by-step explanation:
V = pi * r^2 * h
V = 3.14 * (14 in.)^2 * 2 in.
V = 1230.88 in.^3
Answer: B) 1,231 in3
Answer:
B) 1,231 in3
Step-by-step explanation:
V = pi * r^2 * h
V = 3.14 * (14 in.)^2 * 2 in.
V = 1230.88 in.^3
= 1,231 in3
i took geometry hope this helps
What is the slope of the line?
y+5=2(x+1)
A. 1/5
B. 2/5
C. 2
D. 1/2
Rewrite the equation in slope-intercept form:
y+5=2(x+1)
Use the distributive property:
y+5 = 2x +2
Subtract 5 from each side:
y = 2x -3
The slope is the value with the X
The slope = 2
Answer:
2.5
Step-by-step explanation:
2(x+1)=y+5
2x+1=y+5
y+5=6
in addtion y can be add
so we have now...
2x+1=6
minus 1 from 6 and get 5
2x=5
5 divide by 2 = 2/5
Hope it helps
what is the general form of the equation of the circle shown?
[tex](x-(-2))^2+(y-1)^2=3^2\\(x+2)^2+y^2-2y+1-9=0\\x^2+4x+4+y^2-2y-8=0\\x^2+y^2+4x-2y-4=0[/tex]
Answer:
x²+4x+y²−2y−4=0
Step-by-step explanation:
we can observe that,
1) the coordinates of the center of the circle (h,k) = (-2,1)
2) the radius, r = 3
using the standard form of the equation of circle:
(x−h)²+(y−k)²=r² (substitute h= -2, k=1 and r=3), we get
(x+2)²+(y−1)²=9 ----> this is in "Standard" form, to get "General" form, simply expand the parenthesis reduce to simplest terms.
(x+2)²+(y−1)²=9
[x² + (2)(x)(2) + 2²] + [y² + (2)(y)(-1) + (-1)²] = 9 (expand and reduce)
x²+4x+y²−2y−4=0 (answer)
Help asap
Congruent Angle pairs
Answer:
Option A ∠RWQ, ∠WPS and ∠PWU
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
Part 1)
∠OPW+∠WPS=180° ------> by supplementary angles
we have
∠OPW=110°
substitute
110°+∠WPS=180°
∠WPS=180°-110°=70°
Part 2) we know that
∠RWQ+(50°+60°)=180° ------> form a linear pair
∠RWQ=180°-(50°+60°)=70°
so
∠OPW+∠RWQ=180° -----> by supplementary angles
Part 3) we know that
∠PWU=∠RWQ -------> by vertical angles
so
∠OPW+∠PWU=180° -----> by supplementary angles
therefore
The angles that are supplements to angle ∠OPW are
∠WPS, ∠RWQ and ∠PWU
(X-2)(3x-4) simplify
Answer:
3x²-10x+8
Step-by-step explanation:
To simplify the expression we need to multiply each term in the first bracket with the expression in the second bracket.
x(3x-4)-2(3x-4)
3x²-4x-6x+8
Executing the operations to give a quadratic expression we get:
3x²-10x+8
The simplified expression is therefore
3x²-10x+8
Answer: [tex]3x^2-10x+8[/tex]
Step-by-step explanation:
Given the expression [tex](x-2)(3x-4)[/tex], you can apply Distributive property to simplify it. But first, you must remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Then:
[tex](x-2)(3x-4)=(x)(3x)+(x)(-4)+(-2)(3x)+(-2)(-4)=3x^2-4x-6x+8[/tex]
The final step is to add the like terms. Therefore, you get:
[tex]3x^2-10x+8[/tex]
Which one of the following numbers is an irrational number?
A. 8.234234…
B. 123⁄455
C. 3.131131113…
D. 5.364
Answer:
C. 3.131131113…
Step-by-step explanation:
Irrational numbers cannot be written as a ratio of two integers and irrational numbers can have decimal that goes on forever without repeating
C. 3.131131113…
It's a decimal which is not repeating, therefore it's an irrational number.
If p(x)=2x^2 -4 and q(x)=x-3, what is (p*q)(x)
Answer:
2x^3 - 6x^2 - 4x + 12.
Step-by-step explanation:
(p*q) (x) = (2x^2 - 4)(x - 3)
= 2x^3 - 6x^2 - 4x + 12.
For this case we have the following functions:
[tex]p (x) = 2x ^ 2-4\\q (x) = x-3[/tex]
We must find [tex](p * q) (x).[/tex] For definition, we have to:
[tex](p * q) (x) = p (x) * q (x)[/tex]
So:
[tex](p * q) (x) = (2x ^ 2-4) (x-3)[/tex]
We apply distributive property:
[tex](p * q) (x) = 2x ^ 3-6x ^ 2-4x + 12[/tex]
Answer:
[tex](p * q) (x) = 2x ^ 3-6x ^ 2-4x + 12[/tex]
Which of the following are solutions to the equation below. Check all that apply
Answer:
B. -2√2 - 5
C. 2√2 - 5
Step-by-step explanation:
The left side of the equation is already a perfect square.
Let us factorize it first.
x²+10x+25=8
x(x+5)+x(x+5)=8
(x+5)²=8
Let us take the square roots of both sides.
x+5=±√8
But √8=±2√2
Therefore in surd form, the two solutions become:
x+5=2√2 or x+5=-2√2
Therefore x= 2√2-5 and -2√2+-5
A music store owner noted that CD sales had dropped 29% from one quarter to the next. If the owner sold 570 units in the first quarter, how many did she sell in the next quarter?
Answer:
About 405
Step-by-step explanation:
570 CDs were sold the first quarter.
The second quarter CDs had dropped 29% from the first quarter (570).
Dropped, you should think you are subtracting.
So we need to
simplify 570-.29(570):
570(1-.29)
570(.71)
404.7
404.7 --> 405 (when rounded)
Step-by-step explanation:In order to find the answer to your question, we would need to find how much of 570 is 29%, and subtract that number to 570.
The reason why we would do this is because in the question, it says that the sales dropped 29% for one quarter to the next. This means that the next quarter would drop 29%.
We know that they sold 570 units, so we would use 570 in our calculations.
We know that the sales decrease by 29%, so we would multiply 570 by 0.29 to find how much of 570 is 29%.
[tex]570*0.29=165.3[/tex]
29% of 570 is 165.3
What we would do now is subtract 570 by 165.3 in order to fin how much sales they made in the next quarter.
[tex]570-165.3=404.7[/tex]
Once you're done solving, you would get the answer of 404.7
This means that they sold 404.7 (405 when rounded) CDs in the next quarter.
I hope this helps you out.Good luck on your academics.Have a fantastic day!Simplify cos[arccsc((2/3)/3)].
A)no solution
B)sqrt3/2
C)1/2
Answer:
1/2
Step-by-step explanation:
We have [tex]\cos(\arccsc(\frac{2\sqrt{3}}{3}))[/tex].
Let [tex]u=\arccsc(\frac{2\sqrt{3}}{3})[/tex].
This implies [tex]\csc(u)=\frac{2\sqrt{3}}{3}[/tex].
Use that sine and cosecant are reciprocals.
[tex]\sin(u)=\frac{3}{2\sqrt{3}}[/tex]
Now I'm going to rationalize the denominator there by multiply numerator and denominator by [tex]\sqrt{3}[/tex]:
[tex]\sin(u)=\frac{3\sqrt{3}}{2(3)}[/tex]
[tex]\sin(u)=\frac{3\sqrt{3}}{6}[/tex]
Reduce the fraction:
[tex]\sin(u)=\frac{\sqrt{3}}{2}[/tex]
Now I'm going to use a Pythagorean Identity: [tex]\cos^2(u)+\sin^2(u)=1[/tex].
This will give me the value of cos(u) which would give me the answer to my question if it exists.
Replace [tex]\sin(u)[/tex] with [tex]\frac{\sqrt{3}}{2}[/tex] in:
[tex]\cos^2(u)+\sin^2(u)=1[/tex]
[tex]\cos^2(u)+(\frac{\sqrt{3}}{2})^2=1[/tex]
[tex]\cos^2(u)+\frac{3}{4}=1[/tex]
Subtract 3/4 on both sides:
[tex]\cos^2(u)=\frac{1}{4}[/tex]
Square root both sides:
[tex]\cos(u)=\pm \frac{1}{2}[/tex] (since 1/2*1/2=1/4 or -1/2*-1/2=1/4)
Now we must decide between the positive or the negative.
It depends where u lies. What quadrant? Hopefully it lays between 0 and [tex]\pi[/tex]. Otherwise, it doesn't exist (unless you have a different definition for arc function).
So u led to this equation earlier:
[tex]\sin(u)=\frac{\sqrt{3}}{2}[/tex]
arcsin( ) only has outputs between [tex]\frac{-\pi}{2}[/tex] and [tex]\frac{\pi}{2}[/tex].
This would have to be in the first quadrant because we have only positive sine values there.
So this means cos(u)=1/2 and not -1/2 because we are using that u is in the 1st quadrant.
Remember u was [tex]\arccsc(\frac{2\sqrt{3}}{3})[/tex].
So we have actually evaluated
[tex]\cos(\arccsc(\frac{2\sqrt{3}}{3}))[/tex] without a calculator.
The value is 1/2.
I don’t get this question
[tex]\text{Use pythagorean theorem}[/tex]
[tex]$a^2 + b^2 = c^2 \longrightarrow a^2 +6^2=9^2 \longrightarrow a^2 =45\longrightarrow a =6.7082\longrightarrow a = 6.71$[/tex]
[tex]\textbf{a = 6.71}[/tex]
This is a right triangle and to solve this you must use Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 6
b = x
c = 9
^^^Plug these numbers into the theorem
[tex]6^{2} +x^{2} =9^{2}[/tex]
simplify
36 + [tex]x^{2}[/tex] = 81
Now bring 36 to the right side by subtracting 36 to both sides (what you do on one side you must do to the other). Since 36 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
36 - 36 + [tex]x^{2}[/tex] = 81 - 36
0 + [tex]x^{2}[/tex] = 45
[tex]x^{2}[/tex] = 45
To remove the square from x take the square root of both sides to get you...
x = √45
x ≈ 6.71
(choice A)
Hope this helped!
~Just a girl in love with Shawn Mendes
How long is the second hand to the nearest tenth if it moves 2cm in 15 seconds?
let's recall that a circular clock has 360° and 60 seconds per minute.
the seconds hand does 60 seconds in one go-around, and if it has covered 15 seconds on the clock, that gives us an angle of 90°, 15 is one quarter of 60, so in 15 seconds it has covered one quarter of the full circle or 90°.
we also know it covered 2cm, namely the arc's length on the 15 seconds is 2cm.
[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ \cline{1-1} \theta =90\\ s=2 \end{cases}\implies 2=\cfrac{(90)\pi r}{180}\implies 2=\cfrac{\pi r}{2} \\\\\\ 4=\pi r\implies \cfrac{4}{\pi }=r\implies 1.27\approx r[/tex]
which number is a constant in the algebraic experssion
What is the solution to the system of equations?
3x+10y=-47
5x-7y=40
A. (1, –5)
B. (1, 5)
C. (–1, –5)
D. (–1, 5)
Answer:
A (1,-5)
Step-by-step explanation:
the photo has the explanation
The solution of the system is x=1 and y= -5.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+10y= -47..........(1)
5x-7y=40.............(2)
Solving equation (1) and (2) we get
15x + 50y = -235
15x - 35y = 200
____________
85y = -435
y = -5.11
and, 3x + 10(-5.11) = -47
3x -50 = -47
3x= 3
x= 1
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