Answer:
(x+3)⋅(x−1)⋅(x−4)
Step-by-step explanation:
hope this helps
Problem 1
Select all of the ordered pairs (x, y) that are solutions to
the linear equation 2x + 3y = 6.
(Select all that apply.)
(0,2)
(0,6)
(2,3)
(3,-2)
(3,0)
(6, -2)
After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
The given equation is,
2x + 3y = 6
Now, substitute the corresponding points and check,
1. For points (0, 2)
2(0) + 3(2) = 6
6 = 6, this is correct.
2. For points (0, 6)
2(0) + 3(6) = 18
6 ≠ 18, this is incorrect.
3. For points (2, 3)
2(2) + 3(3) = 6
13 ≠ 6, this is incorrect.
4. For point (3, -2)
2(3) + 3(-2) = 6
0 ≠ 6, this is incorrect.
5. For point (3, 0)
2(3) + 3(0) = 6
6 = 6, this is correct.
6. For point (6, -2)
2(6) + 3(-2) = 6
6 = 6, this is correct.
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can a system of linear equation have exactly 2 solutions ? why or why not?
Answer:
Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.
Step-by-step explanation:
Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional
Answer:
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Two points lying on the graph are (1, 12) and (2, 24).
Slope of the line will be,
m = [tex]\frac{24-12}{2-1}[/tex]
Slope = 12
Since equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the line passing through (1, 12) and slope 12 will be,
y - 12 = 12(x - 1)
y = 12x - 12 + 12
y = 12x
By comparing this equation with the equation,
y = mx + b
where 'b' = y-intercept = 0
Since, y-intercept is zero, table will represent the proportional relation between x and y.
Proportional or non proportional → Proportional
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-sevenths of those T-shirts are on sale.
One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are
blue T-shirts that are on sale and are size medium? Explain.
Answer:
1/7
Step-by-step explanation:
Of all the shirts, 2/3 of the t-shirts are blue.
Of the blue shirts, 3/7 are on sale. Of all the shirts, 2/7 are on sale and blue.
[tex]\frac{2}{3}*\frac{3}{7} =\frac{2}{7}[/tex]
Of the blue shirts on sale, 1/2 are size medium. Of all the shirts, 1/7 are on sale, blue, and size medium.
[tex]\frac{2}{7} *\frac{1}{2} =\frac{1}{7}[/tex]
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Which system of equations will also have a solution of (−2, −1)?
Answer:
I'm pretty sure it's 5x= -10
Answer:
5x = −10
11x − 9y = −13
took test edg 2021
134−56·0+16÷1=
help fast please!!!!
What theorem shows that l // m
Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.
Complete question :
Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem
Answer:
15
Step-by-step explanation:
Total Size of board = 5 feets
Size of board to be made = 1/3 feets
Number of 1/3 feets board to be made from 5 feets board :
Total size of board / size of board to be made
5 feets ÷ 1/3 feets
5 feets * 3 / 1 feets
= 15
Hence, number of 1/3 feets board that can be made from 5 feets board = 15
what is the slope. please hurry up
Answer:
The slope is 1/2
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=2-1/4-2
m=1/2
You are looking for a new cell phone plan. The first company, Cellular-Tastic (f), charges a monthly fee of $35 and $0.11 per minute of use. Dirt-Cheap Cell (g) charges a monthly fee of $55 and $0.01 per minute of use.
a. How many minutes would you need to use for the cell phones to cost the same amount?
b. Create a graph to model this situation and describe the graph in writing in the space provided. Include the general shape and any intersections or intercepts.
c. Using your graph, explain when each company would be a better option.
Answer:
A. 200 minutes
Step-by-step explanation:
At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch
Answer:
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t
Step-by-step explanation:
The given parameters are;
The initial velocity of the rocket, v = 138 feet per second
The vertical motion formula = h(t) = 0.5·a·t² + v·t + s
The gravitational constant, a = -32 ft./s²
s = The initial height of the rocket
Therefore, he have;
The height of the rocket, t seconds seconds into launch is given as follows;
Height = h = h(t) - s = 0.5·a·t² + v·t
Substituting the known values gives;
h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t
h = -16·t² + 138·t
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.
ANSWER QUICK FOR BRAINIEST: When using scientific notation, a positive exponent means . . . the standard number is less than one the negative sign doesn't have a meaning None of the above the standard number is greater than one
Answer:
The standard number is greater than one. Negative means it's going to be .xxx
Answer:
Ste scientific notation, a positivep-by-step explanation:
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since the slope of the line, m = -1/2
and we know that, line equation is, y=mx+c
so the answer is, option 1.)
1.) y-4 = -1/2 (x+6)
an equation of the line that passes through (3, 1) and (0, 10).
Answer:
So the equation of the line that passes through (3, 1) and (0, 10) is y=-3x+10
Step-by-step explanation:
(3, 1) and (0, 10)
m=y²-y¹/x²-x¹
m=10-1/0-3
m=9/-3
m=-3
y=mx+b
y-y=m(x-x1)
y-1=-3(x-3)
y-1=-3x+9
+1 +1
y=-3x+10
What is the slope of the line that passes through
(−2, 3) and (5, −6)
a.-1/2
b.−1
c.-9/7
d. I don't know.
Start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
m = -6 - 3 / 5 - -2
m = -9 / 7
So the slope is -9/7.
Solve the system by elimination
Answer:
x= -2 y= -5
Step-by-step explanation:
Eliminate y by subtract = 3x-6x-2y+2y=6 ; x=-2
plug-in x = -2
-6-2y = 4 y = -5
Answer:
(- 2, - 5)
Step-by-step explanation:
[tex]\left \{ {{3x-2y=4} \atop {6x-2y=-2}} \right.[/tex]
(2) - (1)
(6x - 3x) + [- 2y - (- 2y)]= - 2 - 4
3x = - 6 ⇒ x = - 2
3( - 2) - 2y = 4 ⇔ - 6 - 2y = 4 ⇒ y = - 5
(- 2, - 5)
A line has a slope of -3/4 and passes through the point (-5, 4). Which is the equation of the line?
Answer: A
Step-by-step explanation:
y-4 = -3/4(x+5)
y = -3/4x+1/4
Answer: the equation is y= 3/4 times + 1/4 is your answer
I love you. You are worth it.
Answer:
Thanks
Step-by-step explanation:
-9x + 15 = -48 ?????????????????????/
Answer:
x=7
Step-by-step explanation:
eduardo works as an accountant for a consulting firm. he earns an annual salary of 68,090 and an annual bonus based of the firms preformance. this year eduardo will earn a bonus of 3% of his annual salary , which is 2,042.70. what is eduardos annual gross pay
Answer:
70.132,70
Step-by-step explanation:
68.090,00
+ 2.042,70
_________
70.132,70
HELP ME OUT IM DUMB
Answer:
around 15.3
Step-by-step explanation:
3^2 + 15^2=c^2
Answer:
Step-by-step explanation:
Formula:
a^2 + b^2 + c^2
3^2 + 15^2 + c^2 = To find hypotenuse
3 • 3 + 15 • 15 = -c^2
9 + 225 = -c^2
234 = c^2
square root of 234 = 15.2970585408
c = 15.2970585408
The roof is 15.2970585408
Suppose there are two blocks of solid iron. One block is a cube, three inches on a side. The other block is a cube three miles on a side. Obviously, the large cube is many, many times greater volume than the small cube, and many, many times heavier. Is the large cube more dense than the small cube, or less dense?
Answer:
The density is the same because both cubes are composed of the same element Iron(Fe).
Answer:
I believe the large cube would be denser.
Step-by-step explanation:
bruh if you can help with algebra 2 please help
Answer:
what do you need?
Step-by-step explanation:
pictures would be nice
Answer:
yea sure whats the problem
La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?
Explicación paso a paso:
Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2
La pelota alcanzó su altura máxima cuando la velocidad es cero.
La velocidad se expresa como dy / dt
dy / dt = 40 - 2 (16) t
dy / dt = 40 - 32t
A altura máxima, dy / dt = 0
0 = 40-32t
-40 = -32t
t = 40/32
t = 1,25 s
Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;
y = 40t - 16t ^ 2
y = 40 (1,25) - 16 (1,25) ^ 2
y = 50 - 25
y = 25
Por tanto, la altura máxima que alcanza la pelota es de 25 m
Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.
Encontrando el máximo.
Sabemos que la ecuación de la altura es:
y = 40*t - 16*t^2
Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.
Para una parabola general:
a*x^2 + b*x + c
El vertice está en:
x = -b/(2a)
Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:
t = -40/(2*(-16)) = 1.25
Para encontrar la altura maxima evaluamos la ecuación en este valor de t:
y = 40*1.25 - 16*(1.25)^2 = 25
Es decir, la altura máxima es 25 pies.
Sí quieres aprender más sobre parabolas, puedes leer:
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What is the binary number for 16
Step-by-step explanation:
Answer:
0001 0000
this is the answer and i had to make it longer so i could post it
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
That looks like interior angle to me
x = 47 (since interior angles are congruent)
Step-by-step explanation:
I am really sleepy... :/
can someone help me pls?
Answer: yes it has gone down 1/5th because the answer would be 27 and that is a lot lower than the other numbers.
Step-by-step explanation:
162 minus 135 = 27
I need help with this slope problem
Answer:
what is it? you did not post the picture
how do i solve for c 0.2(c - 3)= -10
Answer: c = -47
Step-by-step explanation:
1. Divide both sides
2. Move the constant to the right
3. Calculate
Answer:
c = -47
Step-by-step explanation:
Here's how!
0.2(c - 3) = -10 (distribute 0.2 to c and -3)
0.2c - 0.6 = -10 (add 0.6 to both sides)
0.2c = -9.4 (divide by 0.2 on both sides)
c = -47
Plug in
0.2(-47 - 3) = -10 (add -47 and -3)
0.2(-50) = -10 (distribute)
-10 = -10
Hope this helps!!
Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8