Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
I really hope that this helps you if u have any more questions ask. :>
Answer:
Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
Step-by-step explanation:
Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance method.
Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition, subtraction, multiplication or division) is applied to both sides.
Example: y = 2x + 1 is a linear equation:
line on a graph
The graph of y = 2x+1 is a straight line
When x increases, y increases twice as fast, so we need 2x
When x is 0, y is already 1. So +1 is also needed
And so: y = 2x + 1
Here are some example values:
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5
Solve x2 − 3x = −8.
a. x equals quantity of 3 plus or minus I square root of 29 all over 2
b. x equals quantity of 3 plus or minus I square root of 23 all over 2
c. x equals quantity of negative 3 plus or minus I square root of 29 all over 2
d. x equals quantity of negative 3 plus or minus I square root of 23 all over 2
Answer:
x equals quantity of 3 plus or minus I square root of 23 all over 2
Step-by-step explanation:
Today you will need to look at the following problem and explain what Susan did incorrectly. You can explain what she did incorrectly and how to do it correctly
Answer:
see below
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + (y-k) ^2 = r^2
( x-3)^2 + (y+4) ^2 = 36
Rewriting this equation
( x - 3)^2 + ( y - -4)^2 = 6^2
The center is at (3,-4) and the radius is at 6
Susan did not use the formula correctly.
It is x-h and y-k so she needed to rewrite to get the equation in the proper form
Also the radius is r^2 not r/2
Which one the following is a polynomial?
A. x^3-4x^2+√x-5
B. √2x^3-2x^2+3x-1
Answer:
B
Step-by-step explanation:
A has a sqrt(x) as a term, which makes it not a polynomial
Define polynomial with some examples.
Answer:
A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.
Step-by-step explanation:
EXAMPLES :
x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.5x-2 +1 Not a polynomial because a term has a negative exponent3x½ +2 Not a polynomial because a term has a fraction exponent(5x +1) ÷ (3x) Not a polynomial because of the division(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation) [Polynomial Equation- is simply a polynomial that has been set equal to]An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.
A polynomial in X is denoted by p(x),q(x),g(x) etc.
Examples:
p(X)=x^2-3x+2 is a polynomial in X.
Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).
Hope it helps
Good luck on your assignment...
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
[tex]-3\frac{2}{3}[/tex]
Step-by-step explanation:
What is the square root of -1?
Answer:
Second choice: i
Square root of -1 is an imaginary number, represented as i.
Please mark as BRAINLIEST! Thanks!
PLEASE HELP ME I NEED HELP
Answer:
Step-by-step explanation:
V = 4/3(π)(3)^3
V= 4/3(27)π
V= 36π
V = 113.1 cm^3
What is the volume of a cone if the diameter is 5 and the height is 13?
Answer:
85.095cm³
Step-by-step explanation:
Volume of cone is ¹/³ πr ²h
volume = ¹/³ x 3.142 x (2.5)² x 13
volume = 85.095cm³
Find the value of x (3x-9) (x + 7)
Answer:
x=-3 and x=-7
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
i just took the test, its 23
The slope-intercept form of a line is y = mx + b. Using that equation for a line of best fit, you can substitute an input value to find the output for that point. With this method it is possible to make predictions for data points that may not be shown on a graph.
Answer:
Yes it is
Step-by-step explanation:
If you us a formula you can predict data points that are not on a graph
What is the average rate of change from x = −1 to x = −2?
Answer:
Step-by-step explanation:
this graph is probably : 2(x+1)^(2)+5:
it was transformed :
vertically stretched by a factor of 2
left 1 unit
up 5 units
from the graph, we can see that the points are (-1, 5) and (-2, 7)
m=(y2-y1)/(x2-x1)
m=(7-5)/(-2-(-1))
m=2/-1
m=-2
PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12
Answer:
-1/2x<-12
Multiply through by 2
-x < -24
Multiply through by -1
x > 24
Hope this helps.
Is 8.26 an irrational number
Answer:
no it is not
Step-by-step explanation:
13 is 23 less than 15 times a number
Answer:
13 = 15(x) - 23
x = 12/5 or 2 2/5
PLEASE HELP ME OUT!
Wright (3+4i)+(8+2i) as a complex number in standard form
Answer:
11 +6i
Step-by-step explanation:
(3+4i)+(8+2i)
Add the real portions
3+8 = 11
Add the imaginary portions
4i+2i = 6i
The complex number in a+bi form is
11 +6i
Answer:
[tex] = 11 + 6i[/tex]
Step-by-step explanation:
[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the HIGHEST COMMON FACTOR of 36 81
Answer: 9
Explanation: 3 x 3 is the gcf of 36 and 81. gcf (36,81) = 9.
Answer:
its 9
Step-by-step explanation:The prime factorization of 81 is: 3 x 3 x 3 x 3.
. The prime factors and multiplicities 36 and 81 have in common are: 3 x 3.
so 9
what is the value of x?
6x+12= 3x-43
PLSS I NEED HELPP
Answer:
-55/3
Step-by-step explanation:
6x+12=3x-43
Subtract 3x from both sides:
3x+12=-43
Subtract 12 from both sides:
3x=-55
Divide both sides by 3:
x=-55/3
Hope this helps!
Answer:
x = -18.33 or x = -55/3 (fraction form)
Step-by-step explanation:
first, you need to get x on one side,
6x + 12 = 3x - 43
-3x -3x
3x + 12 = -43
then, get the x by itself.
3x + 12 = -43
-12 -12
3x = -55
divide both sides by three
3x/3 = -55/3
x = -18.33
and you have your answer!
if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting
Answer:
A = 2 1/2 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 3 * 5/6
A = 5/2 ft^2
A = 2 1/2 ft^2
Answer:
A=2.5 ft^2
Step-by-step explanation:
A=3
A=3(5/6)
A=2.5 ft^2
The value x is
Please help I’m stuck
Step-by-step explanation:
EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA
VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON
RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA
HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES
5x° = 55°
DESPEJA x
x = 55°/5° = 11
Find the Shaded area 12 cm 18cm 8cm 8cm
Answer:
3,456
Step-by-step explanation:
12x18x(8x2)= 3,456
=ñ
= 80° and m
= 40°, then m
<1 =
VU
ST
60
20
40
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°
By theorem of angle between intersecting secants,
"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."
[tex](m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})[/tex]
[tex]=\frac{1}{2}(80-40)[/tex]
= 20°
Therefore, Option (2) will be the answer.
What is the solution to the system of equations graphed below?
y= 3/2x+2
y=-6x+ 32
Answer:
(4,8)
Step-by-step explanation:
The solution is where the two lines intersect.
The graphs intersect at x=4 and y = 8
(4,8)
Answer: B: (4,8)
Step-by-step explanation:
y = 3x +2 you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.
y = -6x + 32
you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1
PLEASE HELPP! Question 1: Factorise each of the following (a) x² + 7x + 12 (b) x² + 6x + 8 (c) x² + 5x + 6 (d) x² + 8x + 7
Answer:
Using the mid-term break formula for all of them.
a) x²+7x+12
= x²+3x+4x+12
= x(x+3)+4(x+3)
= (x+4)(x+3)
b) x²+6x+8
= x²+2x+4x+8
= x(x+2)+4(x+2)
= (x+4)(x+2)
c) x²+5x+6
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x=3)(x+2)
d) x²+8x+7
= x²+7x+x+7
= x(x+7)+1(x+7)
= (x+1)(x+7)
Answer:
a) the middle number is seven and the last number is 12
factorising means we want something like (x + ___) (x +__)
Which number go into the blanks?
we need 2 numbers that add together to get 7 multiplied together to get 12.
3 + 4 is equal to 7
3x4=12
Answer:
(x+3)(x+4)
b) the middle number is 6 and the last number is 8
Factoring means we want something like
(x+___)(x+___)
which number go to the blanks?
We need two numbers that add together to get 6 and multiply together to get 8
2+4=6
2x4=8
Answer:
(x+2)(x+4)
c) the middle number is 5 and the last number is 6
we need two numbers that add together to get 5 and multiply together to get 6
2 + 3 is 5 and 2 x 3=6
Answer:
(x+2)(x+3)
Answer:
d) (x+1)(x+7)
the area of an equilateral triangle by 3√3 sq. meter when the length of each side increases by 1 meter. find the length of the side of the triangle.
Answer:
l = ( 2√3 + 1 ) m
Step-by-step explanation:
A = l²√3/4
3√3 = l²√3/4
12√3 = l²√3
l² = √12
l² = √2²·3
l = 2√3 m
when the length of each side increases by 1 meter
l = ( 2√3 + 1 ) m
Answer:
5.5 m
Step-by-step explanation:
note: it is assumed that the area increased by 3√3 sq. meter when length of each side increases by 1 meterThe area of equilateral triangle formula:
A=√3/4a²increased area:
√3/4(a+1)²= A + 3√3
√3/4a²+3√3= √3/4(a+1)² ========= (× 4/√3 each side)a²+12=a²+2a+12a=12-1a=11/2 ma=5.5 mA rectangular prism has a volume of 5x2 + 45x-180.
Its base has a length of x-3 and a width of 5.
Which expression represents the height of the prism?
1) x-3
2) x² + 9x-36
3) X-9
4) x+12
help please thank you
[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
What is the measure of angle Q to the nearest whole degree?
43°
49°
53°
58°
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
[tex]cos^{-1}Q = 0.604[/tex]
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.
How to calculate the measure of angle Q?Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
Read more on cosine function here: brainly.com/question/4599903
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Shannon can milk cows at a rate of Two and one-half gallons per minute. Steven milks cows Two-thirds as fast as Shannon. How fast does Steven milk cows?
A. One and one-third gallons per minute
B. One and two-thirds gallons per minute
C. Two and two-thirds gallons per minute
D. Three and three-fourths gallons per minute
Answer:
B
Step-by-step explanation:
1 and 2 thirds gallons per minute
A car drives at a speed of 90 km/h for 2 hours and 20 minutes.
How far does the car drive?
Answer:
210 KM
Step-by-step explanation:
first 20minutes is 1/3 of an hour
20/60=1/3 hour
how far does the car drive =time *speed
=2 1/3 hour *90= 210 km
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