Step-by-step explanation:
(1) Create a table containing a few values of x and y
y - 3 = ½(x + 2)
y = ½(x + 2) + 3
x y
-10 -1
-6 1
0 3
6 7
10 9
(2) Plot your points
Draw dots at the coordinates of each point.
(3) Draw the graph
Draw a smooth line through the points.
Extend the line in both directions to the edges of the plot area.
Your graph of y - 3 = ½(x+2) should look like the figure below.
Have a beautiful day!
Answer: Slope = 1/4 Y intercept is (0,4) X Intercept is (-8,0)
Step-by-step explanation: you have to graph the points by using the slope and Y intercept
What is the solution to the system shown below?
1) Solve this system of linear equations by elimination.
2x+4y=8
3x=12+4y
*x=4,y=0
*x=3,y=1
*x=3,y=0
*x=4,y=1
please answer step by step
Step-by-step explanation:
2x+4y=8
3x-4y=12
2x+4y+3x-4y=8+12
cancel +4y and -4y
therefore 2x+3x=20
5x=20
x=20/5
x=4
Sibstituting x=4 in 2x+4y=8
2x+4y=8
2*4+4y=8
8+4y=8
4y=8-8
y=0/4
y=0
x=4
y=0
Can someone please help me with this
1. Graph the equation y=-3/2x+1 2. Write the equation of the line in slope intercept form
Answer:
The equation is already in slope intercept form, -3/2 is the slope and 12 is the y intercept.
Is this a trick question?
Step-by-step explanation:
May I have brainliest please? :)
You have a piggy bank with $4 in it. Every month you get an allowance and add $5 to the piggy bank. Which of the following equations represent the amount of money in the bank after "x" months?
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
Which system of equations has exactly one solution? 2x + y = 7 2x + y = –3 5x – 4y = 8 3x + 2y = 8 15x + 9y = 36 10x + 6y = 36 8x – 12y = 48 6x – 9y = 36
Answer:
B
Step-by-step explanation:
The system of the equation that has only one solution is; 5x-4y=8 and 3x+2y=8.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have to determine;
Which system of equations has only one solution
As per the question, a system of linear equations can have one solution if there is only one point that makes every equation in the system true. It implies that there is one point that can satisfy all of the equations at the same time.
The system of equations has only one solution is;
5x-4y=8
3x+2y=8
from equation 1
5x-4y=8
5x=8+4y
[tex]x=\frac{8+4y}{5}[/tex]
Putting the value of x in equation 2
3x+2y=8
[tex]3(\frac{8+4y}{5})+2y=8[/tex]
[tex](\frac{24+12y}{5})+2y=8[/tex]
24+12y+10y=[tex]5*8[/tex]
24+22y=40
22y=40-24
22y=16
y=[tex]\frac{16}{22}[/tex]
y=[tex]\frac{8}{11}[/tex]
Putting the value of b in equation 1,
3x+2y=8
3x+2[tex]\frac{8}{11}[/tex]=8
3x=8-[tex]\frac{16}{11}[/tex]
3x=[tex]\frac{88-6}{11}[/tex]
[tex]x=\frac{82}{33}[/tex]
Therefore, the system of equation which has exactly one solution are;
5x-4y=8 and 3x+2y=8.
To know more about the System of equation click the link given below.
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Hugo is the chef of a school cafeteria.
The table compares the amount of sugar in Hugo's pasta and the number of students who came asking for
second plates of pasta, for several different days.
Can the number of students who asked for second plates be represented as a function of the amount of sugar?
Sugar (grams)
Second plates (# of students)
180 15
220 21
120 15
180 15
320 26
220 23
Yes or No?
PLEASE HURRY & ANSWER PLEASEEEEEEE
Answer: No
Step-by-step explanation:
I guessed..but it was right
Answer:
No
Step-by-step explanation:
Because 15 is with a different number other then 180, then it isn't linear, or graphable. It won't be a function if you have the same number with different numbers. The input and output won't make sense.
What is the slope of the line shown below?
Answer:
[tex]m=-\frac{2}{3}[/tex]
Step-by-step explanation:
Taking any two points on the line to find the slope
(6, -3)(-6, 5)Let us find the slope between the two points we took from the line graph
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-6,\:5\right)[/tex]
[tex]m=\frac{5-\left(-3\right)}{-6-6}[/tex]
[tex]m=-\frac{2}{3}[/tex]
PLEASE HELP I ONLY HAVE 20 MINUTES!!!
Answer:
False
Step-by-step explanation:
% is when you multiply.
This is wrong.
Hope this helps plz hit the crown :D
Diego is inviting some friends over to watch movies. He is buying popcorn and peanuts. Popcorn costs 6 cents per ounce and peanuts cost 17 cents per ounce.
Answer: send the full question
Step-by-step explanation:
To support a local senior citizens center, a student club sent a flyer home to the n students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise T dollars. Match each quantity to an expression, an equation, or an inequality that describes it. A: the dollar amount the club would have if they reached half of their goal 1: B: the dollar amount the club would have if every student at the school donated 50 cents to the cause 2: C: the dollar amount the club could donate if they made $50 more than their goal 3: D: the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 4: E: the dollar amount the club would have if half of the students at the school each gave 50 cents 5: Which statement matches with T + 50?
Answer:
the dollar amount the club would have if they reached half of their goal T + 50
the dollar amount the club would have if every student at the school donated 50 cents to the cause 0,5T
the dollar amount the club could donate if they made $50 more than their goal 0.25n
the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 0.5n
the dollar amount the club would have if half of the students at the school each gave 50 cents T - 0.5n
Step-by-step explanation:
the dollar amount the club would have if they reached half of their goal T + 50
the dollar amount the club would have if every student at the school donated 50 cents to the cause 0,5T
the dollar amount the club could donate if they made $50 more than their goal 0.25n
the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 0.5n
the dollar amount the club would have if half of the students at the school each gave 50 cents T - 0.5n
PLEASE HELP!
solve for the unknown: (3x)^3=81^2x-5, 7^2x+1=49^3x-2,
Answer:
this is my attempt, it might not be right, so please dont be mad if wrong
Step-by-step explanation:
27 * x^3 = 6561x-5 , 49x + 1 = 117649x-2
What is the Estimating Root of 770? Like what is the square root of 770 in between.
Answer:
Step-by-step explanation:
square root of 770 is 27.748873851
in between would be.... square root of 25= 5
square root of 36= 6
Which expression is equivalent to 10f - 5f + 8 +6g +4
Answer:5f+6g+12
Step-by-step explanation:
Just did it and got it right
The value of equivalent expression is,
⇒ 5f + 6g + 12
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 10f - 5f + 8 + 6g + 4
Now, We can simplify as,
⇒ 10f - 5f + 8 + 6g + 4
Combine like terms,
⇒ 5f + 6g + 12
Thus, The equivalent expression is,
⇒ 5f + 6g + 12
Learn more about the mathematical expression visit:
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[tex] \frac{2}{4} + \frac{1}{3} [/tex]
I'm not sure how to do it
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{4}+\frac{1}{3}\\Find a common denominator\\2*3=6\\4*3=12\\1*4=4\\3*4=12\\\frac{6}{12}+\frac{4}{12}\\6+4=10\\\frac{10}{12}=\frac{5}{6}[/tex]
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
SLOPE PLZ !!!!!!!!!!!
Answer:
-3/4
Step-by-step explanation:
Rise / run
Hope this helps. Pls give brainliest.
4. Lizette said this is correct. Is she right? Explain your answer to this question for
full credit! *
63 x 36
36 = 18
Your answer
Answer:
Please check the explanation!
Step-by-step explanation:
Given the expression what Lizzet said was correct
[tex]6^3\times \:\:3^6=18^8[/tex]
No, she is not right. Let me solve the expression
Let us solve the expression
[tex]6^3\times \:\:3^6[/tex]
[tex]=\left(3\times \:2\right)^3\times \:3^6[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c[/tex]
[tex]=3^3\times \:2^3\times \:3^6[/tex] ∵ [tex]\left(3\times \:2\right)^3=3^3\times \:2^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}[/tex]
[tex]=2^3\times \:3^{3+6}[/tex] ∵ [tex]3^3\times \:3^6=\:3^{3+6}[/tex]
[tex]=2^3\times \:3^9[/tex]
Therefore, the correct expression will be:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
which can be further simplified such as:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
[tex]=8\times \:19683[/tex]
[tex]=157464[/tex]
5. Translate into an equation. Negative seven less than the product of a
number and negative two is negative seven.
2 points
Answer:
-7-x+-2=-7
Step-by-step explanation:
Negative Seven Less than a product= -7-x
adding negative two= -7-x+-2
this equation equals -7
the equation put together is= -7-x+-2=-7
Hope this helps
x² – 3x-7
x+2
Divide the following using synthetic division
Answer:
x-5+ [tex]\frac{3}{x+2}[/tex]
Step-by-step explanation:
If x+2 is a factor, -2 is a zero. So we can put -2 in the left-hand corner of your synthetic division, bring the coefficients down so you'll have a set up like this:
-2 | 1 -3 -7
____________
1. bring down the 1:
-2 | 1 -3 -7
____________
1
2. multiply that by -2 and enter the result underneath 3:
-2 | 1 -3 -7
-2
___________
1
a. then, add through:
-2 | 1 -3 -7
-2
___________
1 -5
3. Do the same for -5 (multiply by the zero -2), enter that underneath -7 and add through:
-2 | 1 -3 -7
-2 10
___________
1 -5 3
Now, reassign the coefficients to their x. Because we already factored out an x with the zero, the 1 is assigned to 'x' rather than back to '[tex]x^{2}[/tex]'. The '-5' will not have an x attached. '3' is your remainder and cannot be divided out any further, so it will be written as [tex]\frac{3}{x+2}[/tex]. Finally, just put them back together to get x-5+[tex]\frac{3}{x+2}[/tex].
Hope this helped!
Find the slope of a line that is perpendicular to the line
y = -1/8x +3
Answer:
The slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
Step-by-step explanation:
Given the equation
y = -1/8x +3
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -1/8.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-1}{8}}=8[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
Therefore, the slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
HELP HELP HELP HELP HELP ME HELP ME
Answer:
30
Step-by-step explanation:
Plz help me with this
Answer:
the answer will be this
20. Which of the following lines is parallel to the
line 4x + y = 5?
A. y = 4x - 2
B. y =
= 4x + 9
C. y =
1
X +8
4
1
D. y=-**-1
To make a long distance call, your phone company charges
$1.50 to make the connection, and an additional $0.10 for
every minute that you are on the line once connected.
A) Write an equation for the price of a long-distance call, p, in
terms of the length of the call in minutes, m
B) You lost your August bill, but you know how much you paid for
the month. Write a function that will help you determine the length
of the long-distance call based on the total cost of your bill.
Express 0.5 as a fraction
Answer:
the answer is 1/2
Step-by-step explanation:
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
0.5 = 5/ 10
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
5 / 10
then divide ( 5 ÷ 5 ) over ( 10 ÷ 5 )
5 ÷ 5
10 ÷ 5
=1 /2
~PLZ mark brainliest~
5_6 x2_7
What is the answer to
5 2
_ x _
2 5 =
Answer:
if you’re talking about
5(x)6*2(x)7 then the answer is 420x^2
if it’s
5/6*2/7 the answer is 5/21 ~ 0.238095
Step-by-step explanation:
52/x=25 the answer is 52/25= 2 2/25 ~ 2.08
Please explan what your talking about next time
An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8, and 12 hours. Is there a direct variation? Explain.
PLS HELP ME ON THIS QUESTION!!
Answer:
Please check the explanation.
Step-by-step explanation:
As an airplane travels 780 miles in 4 hours.
We need to determine the table and graph to show the mileage for 2,8 and 12 hours.
as
The airplane covers the distance in 4 hours: 780 miles
so
The airplane covers miles in 1 hour will be: 780/4 = 195 miles
Hence, the table can be calculated as:
Hours Distance Mileage in Miles
[tex]2[/tex] [tex]2\times195\:=\:390[/tex] miles
[tex]8[/tex] [tex]8\times195 = 1560[/tex] miles
[tex]12[/tex] [tex]12\times195 = 2340[/tex] miles
It is clear from the table that it is a direct variation as the constant is 195 miles per hour.
Please check the attached graph. The graph clearly indicates a direct variation.
HELP PLEASE QUICKLY!! Please