Answers
first off, let's get the equation of each line, now, let's notice they're lines, thus we can just use two points from each and the point-slope form to get it, so let's do so, Check the picture below.
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{-6}~,~\stackrel{y_2}{6})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run}{\underset{x_2}{-6}-\underset{x_1}{(-3)}}}\implies \cfrac{6}{-6+3}\implies \cfrac{6}{-3}\implies -2[/tex]
[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)})\\\\\\y=-2(x+3)\implies \blacktriangleright y = -2x-6 \blacktriangleleft\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad(\stackrel{x_2}{6}~,~\stackrel{y_2}{-9})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-9}-\stackrel{y1}{(-6)}}}{\underset{run}{\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{-9+6}{2}\implies \cfrac{-3}{2}[/tex]
[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{4})\implies y+6=-\cfrac{3}{2}(x-4)\\\\\\y+6=-\cfrac{3x}{2}+6\implies \blacktriangleright y = -\cfrac{3x}{2} \blacktriangleleft[/tex]
now, if we look at the first line, it has a hole when x = -1, however is going upwards to the left otherwise, so we can say the equation includes values to the left of x = -1.
the second equation has a hole when x = 2, so we can say that the equation includes values from x = +2 onwards.
[tex]f(x) = \begin{cases}-2x-6&,~~ x < -1\\[1em]-\cfrac{3x}{2}&,~~x>2\end{cases}[/tex]
Related Questions
need help with math
Answers
Ah sorry I got it wrong, dear
Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2
Can someone please give me the (Answers) to this? ... please ...
I dentify the idlowing pairs. of angles.
1.<1 and <4
2.<1 and <5
3. <2 and <8
4.<4 and <5
5. <3 and <5
6.<3 and <6
7.<2 and <6
8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/
Answers
1 / 2
<————---———————>
3 / 4
5 / 6
<————————————>
7 / 8
ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,
ANSWERS:
1. Vertical
2. Corresponding
3. Supplementary
4. Alternate Interior
5. Co-Interior
6. Alternate Interior
7. Corresponding
8. Alternate Exterior
What is the square root of 8 and 24?
Answers
Answer:
√8 = 2.828427125
√24 = 4.89897948557
yan po sana makatulong po ako
solve the median of 4,5,3,4,3,1
Answers
Answer:
arrange them in order = 1,3,3,4,4,5
then cancel them slowly from both side = 3,3,4,4
until u find a single number or two number.
for two number which is same as this do (3+4)/2 which is 7/2 = 3.5
Step-by-step explanation:
4,5,3,4,3,1 (n = 6)
[tex] \\ \tt median = \frac{n + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]
Please help Please help
Answers
Answer:
with what
Step-by-step explanation:
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answers
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
Tonis cat weighs 2,240 grams. How many kilograms does her cat weigh? Use 100 grams = 1 kilograms to convert the rates.
Answers
Answer: 2.24
Step-by-step explanation:
Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24
Toni's cat weighs 22.4 kilograms.
To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.
For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.
2,240 grams / 100 grams per kilogram = 22.4 kilograms.
Therefore, Toni's cat weighs 22.4 kilograms.
The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.
Learn more about conversion here
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#SPJ2
Can you explain how to solve this please?
Answers
9514 1404 393
Answer:
-25
Step-by-step explanation:
Consult your memory of multiplication tables to determine the square root of 100.
10×10 = 100
√100 = 10
Then multiply that value by -2.5
-2.5×10 = -25
___
Of course, you can use a calculator or spreadsheet to evaluate this expression, too.
3m^2 + 5n; if m = -4 and n = -13
Answers
Answer:
3m^2 + 5n = 3
Step-by-step explanation:
3(16) + 5(-13) =
48 - 45 =
3
Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answers
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
how many miles did Candice bike on her route?
Answers
Answer:
200miles per hour andv50 9
To the nearest tenth, what is the BEST estimate of the value 5√10
Answers
Answer:
15.8 i think
Step-by-step explanation:
please help me mate, would ya? please
Answers
x=2 y=3 3x2 is 6, then 6-3 is 3.
x=3 y=6 3x3 is 9, then 9-3 is 6
x=4 y=9 3x4 is 12, then 12-3 is 9.
x=9 y=24 3x9 is 27, then 27-3 is 24.
Answer: (2,3) , (3,6) , (4,9) , (9,24)
Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3 which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.
Hope this helped!
What is the slope of the equation Y = 5/4x-7/4
A. -7
B. -7/4
C. 5/4
D. 5
Answers
Answer:
C. 5/4
Step-by-step explanation:
Slope formula is y=mx+b so your slope is m
In your equation y=5/4x-7/4, your slope is where m would be, so 5/4
Answer:
the slope of the equation is 5/4
write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answers
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?
Answers
Answer:
she keeps 270
Step-by-step explanation:
have of 600 is 300 10 percent of 300 is 30
300-30 is 270
-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?
A)0
B)1
C)2
D) Infinite
Answers
Answer:
C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula
The circumference of a circle is 14.444 miles. What is the circle's diameter?
Answers
Answer:
2.29883
formula
[tex]c = 2 \times \pi \times r[/tex]
solving for (r) radius
[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]
= 2.29883
1. A roller coaster holds 30 people. There are 252 people waiting for a ride. How
many times will the roller coaster need to run so that all 252 people get a ride
Answers
Answer:
They would need to wait almost 9 times to ride.
Step-by-step explanation:
252 divided by 30 equals 8.4.
Will give brainliest!
Select all tables that represent a proportional relationship between x and y.
Answers
Answer:
A & D
Step-by-step explanation:
A:
[tex]y = \frac{6}{5} x[/tex]
D:
[tex]y = 4x[/tex]
PLEASE HELP QUICK!!
what is the slope of this line?
Answers
I think it might be D
PLEASE PLSASE ANSWER THIS
Answers
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°Help!!! evaluate peicewise functions
Answers
Answer:
9
Step-by-step explanation:
You choose the middle one because 3<(4)<10 makes sense where as the other ones don't when you plug in 4. Then you solve the equation which is x^2-7 and then you get 16-7 which is 9.
3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers
Answer:
£86.50
Step-by-step explanation:
To find how much 10 t-shirts cost we have to find how much they cost individually.
3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.
8.65 x 10 T-Shirts = £86.50
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
Answers
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
Find out more at: https://brainly.com/question/18563587
La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés, la casa de Rodrigo está a 2 cuadras a la izquierda de la casa Camilo ¿Cuántas cuadras hay entre las casas de Andrés y Rodrigo?.
Answers
La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.
En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:
(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.
[tex]c - a = 4[/tex] (1)
(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.
[tex]r - c = -2[/tex] (2)
Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:
[tex]r - a = 2[/tex]
En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.
Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882
What is -3m + 5m = -14? With work provided
Answers
Answer:
-7
Step-by-step explanation:
-3m+5m=-14
2m=-14
divide both sides by 2
m=-7
Answer:-3+5m is -8m
Step-by-step explanation: Because the 3 is negative and it is plus
Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:
Answers
Answer:
m∠2 = ______75__
m∠3 = ____105____
m∠4 = _____75___
Step-by-step explanation:
i did the math
I suck at math help ill give brainliest
Answers
Answer:
3
Step-by-step explanation:
5x + 40 = 55
5x = 55 - 40
5x = 15
x = 15 / 5
x = 3
what is x(14+2)5 please help me
Answers
Answer: 80x
Step-by-step explanation:
1. add the numbers 14+2=16 (=x(16)(5)_)
2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)
