Graph the following system of equation
y= 3x + 11
y= -4x + 4
Answers
Answer:
Step-by-step explanation:
Answer:
These equations describe two lines that intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4.
Step-by-step explanation:
We can find the point where these two lines intersect by taking one of the equations, solving it for x, and substituting it into the other equation.
[tex]y = -4x + 4\\-4x = y - 4\\4x = 4 - y\\x = 1 - \frac{y}{4} \\\\y = 3x + 11\\y = 3(1 - \frac{y}{4}) + 11\\y = 3 - \frac{3y}{4} + 11\\y + \frac{3y}{4} = 3 + 11\\\frac{4y}{4} + \frac{3y}{4} = 14\\\frac{7y}{4} = 14\\y = \frac{4}{7} * 14\\y = 4 * \frac{14}{7}\\y = 4 * 2\\y = 8[/tex]
Now we can plug that into our first equation to find x
[tex]x = 1 - \frac{y}[4}\\x = 1 - \frac{8}[4}\\\\x = 1 - 2\\x = -1[/tex]
So these lines intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4
Related Questions
Determine whether each relation is a function.
Answers
Answer:
5-No
6-No
7-Yes
8-Yes
9-No
Step-by-step explanation:
5 has a repeating domain (10 is repeated in the x cord)
6 has a repeating domain (x cord) of -4 twice
7 has No repeating domains (x cord)
8 has no repeating domain
9 All of the domain repeats
what is the percent of increase from 1.6 to 3.2
Answers
Answer:
100% increase
Step-by-step explanation:
Answer:
100% increase
Step-by-step explanation:
1.6 plus 100% = 3.2 :)))
Ned help please ASAP!!!!!
Answers
corey jogged 6.5 miles how many feet did he run (1 mile =5280ft)
Answers
Answer:
Corey jogged 34,320 feet
Step-by-step explanation:
1 mile = 5280 ft
6.5 miles = x ft.
5280 x 6.5 = x ft
x = 34320
m = $12.50h + $75
m = $12.50 + $75
m = $75
m = $12.50 + $12.50 + $12.50 + $12.50 + $75
Answers
Answer:
$125
Step-by-step explanation:
12.5+12.5=25•2=50+75=125
Answer:
m= 75+12.50h?
Step-by-step explanation:
Do) 13. Andrea bought a new cell phone. She made an initial payment of $50 to the
store, and she will pay $30 each month until the cell phone is paid off. Which
equation represents the relationship between m, the number of monthly
payments Andrea will make, and t, the total amount that Andrea has to pay the
store?
Qui
t = 50m - 30
t = 50m + 30
O
Qo
t = 30m - 50
t = 30m + 50
Answers
Answer:
t = 30m + 50
Step-by-step explanation:
Press on picture if necessary
Answers
Answer:
4,1,3,2 also D
Step-by-step explanation:
4(y-9)
brainlist question
Answers
Answer:
4y-36
Step-by-step explanation:
you distribute the 4 to y and 9
(4 x y) - ( 4 x 9)
4y - 36
kira runs 4 miles in 30 minutes. at the same rate, how many miles would she run in 48 minutes?
Answers
Answer:
13
Step-by-step explanation:
PLEASE HELP ME IM IN NEEDD !
Answers
Answer:
-2
8
Step-by-step explanation:
-(- looks like a + so when your subtracting a negative with a negative one number will be positive but if yur adding them both will stay negative
Answer:
-3 - (-1) = -2 or: -3 + 1= - 2
4- (-4) = 8 or: 4 +4 = 8
Step-by-step explanation:
subtracting a negative, is the same thing as adding a positive. so whenever you see a subtraction sign along with a number in parenthesis that has a negative sign, you add the numbers together
Brainliest if correct please help
Answers
Answer:
H - 20
Step-by-step explanation:
Answer:
H) 20 cm.
Step-by-step explanation:
The small trapezoid is two times smaller than the large trapezoid. So, you would do 40/2 to get 20 for d.
Hope it helps!
In the hotel room, Emily works on one of the field trip assignments. A certain
recipe for applesauce has different cooking times based on the number of pounds
of apples used. Emily needs to calculate the quantities for different size batches.
Write and use equations to complete the table.
Apples (lb)
1
2
6
12
17
60
82
Time
(min)
Oh
Answers
please help me answer this!! will give brainliest and 5 star rating
Answers
Answer:
Option 1
Similar triangles have proportional sides.
This means that the sides of ΔABC must have the same ratio to the sides of ΔSTR, ΔLKJ, or ΔDEF.
The base angle of ΔABC is 6 and therefore the base angle of the similar triangle should be divisible by 6. This leaves ΔSTR out
Continue the process with the other sides:
side BC is 4 units meaning the corresponding side of either ΔDEF or ΔLJK with have to be divisible by 4. in JKL the corresponding side KL is 9 units and not divisible by 4. Therefore, DEF is the correct answer since its corresponding sides are proportional
Step-by-step explanation:
(11 BRAINLY POINTS!!) Which of the following numbers can be expressed as a decimal that terminates?
3 over 2 comma space 2 over 3 comma space 3 over 4 comma space 5 over 7
A.
3 over 2 and space 2 over 3
B.
3 over 4 and space 5 over 7
C.
3 over 2 and space 3 over 4
D.
2 over 3 and space 5 over 7
Answers
Answer:
I believe that it is b
Step-by-step explanation:
But correct me if i am wrong! Have a nice day!
Answer:
B. ) 3 over 4 and space 5 over 7
Step-by-step explanation:
If 2+3i is a zero of a polynomial function, then______is also a zero
Answers
Find the output y, when the input,x, is 6
Answers
Answer:
0
Step-by-step explanation:
When x is at 6 y is at 0
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y=13x+4.
Answers
Answer:
Step-by-step explanation:
y=-1/13x since it is perpendicular flip it and make it negative
Answer:
y = -1/13x + 27/13
Step-by-step explanation:
A perpendicular line will have the opposite reciprocal and sign.
So the perpendicular line slope to y = 13x + 4 would be -1/13
NOW PLUG IN (1, 2) TO GET THE Y- INTERCEPT
2 = -1/13(1) + b (b represents the y- intercept)
2 = -1/13 + b (add 1/13 to both sides)
y = -1/13x + 27/13 is the perpendicular line.
Hope this helps ya!!
Find the volume of the prism, using a calculator if necessary.
4 cm
9 cm
5 cm
5 cm
12 cm
Answers
Answer:
where is the drawing l don't understand the measurements
Plz help I make u brainliest
Answers
Answer:
1. you got it dude
Step-by-step explanation:
..............
Answer:i believe the answer is 23
what will the answer be for :
-2.25x+8.75x+10-20
Answers
Answer:
-3.5
Step-by-step explanation:
If you use PEMDAS:
-2.25x + 8.75x = 6.5x
Then,
10-20= -10
Add the 2 and:
6.5+ -10= -3.5
A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?
Answers
Answer:
25
Step-by-step explanation:
Given that:
Initial payment done for buying the phone = $50
Charges per month for the phone = $25 per month
To find:
The equation to represent the situation and its slope.
Solution:
First of all, let us assume that [tex]m[/tex] represents the number of months for which monthly is to be made.
Charges paid for one month = $25
Charges paid for [tex]m[/tex] months = $25[tex]m[/tex]
Total cost of the phone = Initial payment + Charges paid for [tex]m[/tex] months
[tex]C = 25m + 50[/tex]
It is a linear equation between two variables [tex]C[/tex] and [tex]m[/tex].
This equation can be compared with slope intercept form of a line.
Slope intercept form of a line is represented by:
[tex]y=Mx+c[/tex]
[tex]M[/tex] is the slope.
On Comparing, we get:
[tex]y = C, M = 25, x = m, c = 50[/tex]
Therefore, the slope is 25.
help me plz ITS URGENT
Answers
Answer:
H
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 2y = 19 ( subtract 3x from both sides )
2y = - 3x + 19 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{19}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex] → H
If we know the area of this base, we'll know how many cubes can fill the bottom layer. We can find the area of the rectangle
by multiplying the length times the width. Help me out.
The base of the prism is a rectangle with a length of 6 inches and a width of 4 inches.
Find the area of the base.
3 inches
4 inches
(width)
4 inches
6 inches
6 inches
(lenght)
Area = length x width
square inches
Answers
Answer:
24
Step-by-step explanation:
i have 10 minss Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.
12x + 15y = 34
-6x + 5y = 3
x =
y =
Answers
Answer:
x=2 y=-1
Step-by-step explanation:
I cant really explain this but this is the answer if u are unsure pls comment in the box thank you
Write the expression below in simplest form.
3(5x+7)+7x-2
Answers
The expression 22x + 19 is the simplified form of the given expression which is determined by the distributive property of multiplication.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given below as:
3(5x + 7) + 7x - 2
Apply the distributive property of multiplication,
3 × 5x + 3 × 7 + 7x - 2
15x + 21 + 7x - 2
Combine the likewise terms in the above expression,
22x + 19
Thus, the simplified expression is:
22x + 19
Learn more about Expressions here:
brainly.com/question/21751419
#SPJ2
A cable television repairman charges $35 to go to a customer’s home. He charges an additional $20 per hour for the repair. Petra paid the repairman a total of $85 to come to her home and make a repair. How many hours did it take for the repairs?
Answers
Answer: It took 2 and a half hours for the repairs
Step-by-step explanation:
subtract 35 dollars from the total payed of 85 dollars you're left with 50 dollars we know the repairman charges and extra 20 dollars for every hour he's doing the repairs divide the 50 dollars more she had to pay and divide it by the 20 dollars he charges per every hour he's making repairs and you'll get 2.5 hours
The number of hours used for the repair is 2 1/2 hours.
Let the number of hours used for the repair be represented by h
Based on the information given, the equation to solve the question will be:
35 + (20 × h) = 85
35 + 20h = 85
Collect like terms
20h = 85 - 35
20h = 50
Divide both side by 20
20h/20 = 50/20
h = 2.5 hours
In conclusion, it took 2 1/2 hours for the repair.
Read related link on:
https://brainly.com/question/22067581
What is the recursive rule for the
sequence -3,-1, 1, 3...?
A f(1) = -3; f(n)=n+2
B f(1) = 3; f(n) = 2(n-1)
C (1)=-3; f(n)=f(n-1) + 2
Answers
Given the point slope equation y – 190 = 22(x-19) convert it to slope intercept form
Answers
Answer:
Y = mx + b
Y = 22x + 190
M is the slope
Y is the y intercept
Can someone please help asap ill mark as brainlist
Answers
Answer: x = 15 ; y = 8
Step-by-step explanation:
6x = 90 -> x = 15
9y+18 = 90 -> y = 8
Find the first four terms of the sequence given by the following.
an = 42-8(n-1), n=1, 2, 3....
Answers
Answer:
21
Step-by-step explanation:
its correct