What is the solution to this system of equations?
10
8
6
y = x + 6
y = -0.5x + 3
4 2
2
O A. (-1,2)
OB. (-2,4)
O C. (2, -1)
O D. (4,-2)
Answer:
it is B
Step-by-step explanation:
Look at where both of the lines meet from there you can find that (-2,4) is the solution
The solution to the system of equations is (x, y) = (-2, 4).
Option B is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can solve this system of equations by setting the expressions for y equal to each other and solving for x, then substituting the value of x into one of the equations to find the corresponding value of y.
y = x + 6 ...(1)
y = -0.5x + 3 ...(2)
Setting equations (1) and (2) equal to each other gives:
x + 6 = -0.5x + 3
Solving for x, we get:
x + 0.5x = 3 - 6
1.5x = -3
x = -2
Substituting x = -2 into equation (1), we get:
y = -2 + 6
y = 4
Therefore,
The solution to the system of equations is (x, y) = (-2, 4).
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Select Rational or irrational to classify each number
In order to prove the triangles pictured below as congruent BY SAS, we would need to know ___
a. AB≅AD
b. angle BAC≅angle DAC
c. angle ABC≅angle ADC
d. angle BCA≅angle DCA
Answer: D
Step-by-step explanation: i got it right
Find the value of each variable that makes the equation true.
1. 89 = 1
2. 94.9-6 = 96
3. 5-3.2-3 = 100
What is the unit price for trail mix if a 8 ounce bag cost $2.80.
Anna is plotting points for a rectangle in the coordinate plane. She plots (4, -3), (4, 0), and (-2, 0). Which could be the coordinate pair that Anna plots in the third quadrant?
a) (2,3)
b) (-2,3)
c) (2,-3)
d) (-2,-3)
Question 5
1 pts
Javier downloaded 250 pictures from his cell phone to his computer.
These pictures took up 500 megabytes of space on his computer.
Each picture took up thesame amount of space. How many megabytes
do 40 of these pictures take up?
Luis charges a travel fee of $10 plus $25 per month to mow his neighbors' lawns. If most of his customers only get their lawns mowed for 5 to 8 months out of the year, what is the RANGE of this situation?
Answer:
135 to 210
Step-by-step explanation:
Given
[tex]Base\ Charge = 10[/tex]
[tex]Additional\ Charge = 25[/tex] monthly
Months = 5 to 8
Required
Determine the range of the function
First, we need to determine the function equation.
Let total charges be y and months be x
[tex]y = Base\ Charge + Additional\ Charge * x[/tex]
[tex]y = 10 + 25 * x[/tex]
[tex]y = 10 + 25x[/tex]
When x = 5:
[tex]y = 10 + 25 * 5[/tex]
[tex]y = 10 + 125[/tex]
[tex]y = 135[/tex]
When x = 8
[tex]y = 10 + 25 * 8[/tex]
[tex]y = 10 + 200[/tex]
[tex]y = 210[/tex]
Hence, the range is 135 to 210
Alison swims 75 feet in 12 seconds. What is he rate to the nearest mile per hour? Please explain all the steps.
Answer:
32. 74
Step-by-step explanation:
Round money monetary answers to the nearest cent. ... using the Distributive Property and explain each step. ... Alison has $9.70 in dimes and quarters. ... It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the.
If you apply these changes to the linear parent function, f(x)=x, what is the equation of the new function? Vertically compress by a factor of 4. Reflect over the x-axis . A. G(x) = 4 - x B. G(x) = - 1/4 * x C. G(x) = 1/4 * x D. G(x) = - 4x
Given:
The linear parent function, f(x)=x is vertically compressed by a factor of 4 and reflected over the x-axis.
To find:
The new function.
Solution:
The vertical stretch and compression is defined as
[tex]g(x)=kf(x)[/tex]
If k>1, then f(x) vertically stretched by factor k and if 0<k<1, then f(x) vertically compresses by factor [tex]\dfrac{1}{k}[/tex].
In the given problem, linear parent function, f(x)=x is vertically compressed by a factor of 4. So, [tex]k=\dfrac{1}{4}.[/tex]
[tex]g(x)=\dfrac{1}{4}f(x)[/tex]
Then, it is reflected over the x-axis.
[tex]G(x)=-g(x)[/tex]
[tex]G(x)=-\dfrac{1}{4}f(x)[/tex] [tex][\because g(x)=\dfrac{1}{4}f(x)][/tex]
[tex]G(x)=-\dfrac{1}{4}x[/tex] [tex][\because f(x)=x][/tex]
So, the new function is [tex]G(x)=-\dfrac{1}{4}x[/tex].
Therefore, the correct option is B.
Answer:g(x)=-1/4x
Step-by-step explanation:
The rectangle shown
Brainliest ??? HELP
Answer:
D
Step-by-step explanation:
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.
Which table of ordered pairs represents a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2.
Answer:
A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.
Step-by-step explanation:
Examining the response options:
A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.
No, as y = 25 not 20 and x = 5 .
A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.
No, y =64 not 48 and x= 4.
A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.
No, y= 25+3*45= 160 not 90 and x = 3.
A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.
Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.
Answer:
C
Step-by-step explanation:
Did the quiz! :D
Explain, with at least 2 complete sentences, how to find the slope from a table.
Answer:
Step-by-step explanation:
We know the slope is rise over run. You can also find slope by using the formula (y2-y1)/(x2-x1) where x1, x2, y1 and y2 are points from the table. These points also aren't random and must correspond with each other. Example x1 and y1.
Find the slope:
(1,3) (4,9)
Answer:
m =2
Step-by-step explanation:
slope formula is m= y2-y1/x2-x1
m= 9-3/4-1
m= 6/3
m= 2
Answer:
I think its 2,7
Step-by-step explanation:
Find the equivalent expression for (x+7)(x+1)
Answer:
x^2 + 8x + 7
Step-by-step explanation:
We can see this expression as two distributive property expressions:
(x+7)(x+1) = x(x+1) + 7(x+1)
We can then expand and combine like terms:
(x^2 + x) + (7x + 7) = x^2 + 8x + 7
We have our final answer. I hope this helps! :)
You invest $1700 in an account that earns 1.3% interest compounded daily. Write an equation to model the amount of money at any given time.
Please give an explanation but detailed as possible. I would like to learn how to solve word problems like these and improve on my math. I wan to get better so I can peruse my dream of being an engineer, and math is an important concept to it, so I would highly appreciate some help so I can learn :D
the equation goes like this
y = ab^x
y = total cost
a = the intital amount (in your case the $1700)
b = the interest (since this is an exponetial growth it should be 1.013)
x = time
soo y = 1700(1.013)^x is the equation
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans? Use the proportion method and scale factor to justify your solution.
Answer:
6 "surprise" flavors jellybeans
Step-by-step explanation:
From the information given:
The bag contained a mixture of regular flavored jellybeans and "surprise" jellybeans.
There are 40 jellybeans in the bag.
If 15% of the jellybean were "surprise" flavors.
Then, the number of expected "surprise" jellybeans will be:
= 15% of 40 jellybeans
= (15/100) × 40
= 6 "surprise" flavors jellybeans
If 6 surprise jellybean is contained in the bag;
Thus, the number of regular flavored jellybean will be
= 40 - 6
= 34 regular flavored jellybean
A store owner paid $15 for a book , she marked up the price of the book by 40% to determine its selling price . What is the selling price in dollars of the book ?
Find the slope (6,-2), (0,2)
HELP ME. It takes 12 hours to paint a 10-ft-by-18-ft mural. At this rate, how long will it take
the same number of people to paint the same mural on a 15-ft-by-27-ft wall?
Help anyone????????????
Answer:
A new car would cost 400$
If 140$ is 35% of the price of a new car then all we need to do is find how much 1% of that new car is
35%:140$
divide by 35 on each side
1%:4$
If 1% is 4$ then 100% is 400$
Hope this helped
Step-by-step explanation:
7(a - 4) plsss help!!!
Answer:
7a - 28
Step-by-step explanation:
multiply a and -4 by 7
7a - 28
The following table shows a proportional relationship between mmm and nnn.
mmm nnn
333 212121
555 353535
888 565656
Write an equation to describe the relationship between mmm and nnn.
Answer:
n=7m
Step-by-step explanation:
this answer is good on khan academy
The equation to describe the relationship between m and n will be n = 7m.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
In order to find an equation between n and m by dividing n/m
m = 3, n = 21
n/m = 21/3 = 7
n = 7m
Now, check using the other two points
m = 5, n = 35
n/m = 35/5 = 7
n = 7m
m = 8, n = 56
n/m = 56/8 = 7
n = 7m
Hence, The equation to describe the relationship between m and n will be n = 7m.
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This is a very important homework ( pls do answer if u know)
Answ
A., D., B.
Step-by-step explanation:
The rabbit population in a certain area is 300% of last year's population. There are 900 rabbits this year. How many were there last year? *
A - 300 rabbits
B - 2,700 rabbits
Answer:
-300
Step-by-step explanation:
Part A How can you find the magnitude of a vector , where the horizontal change is x and the vertical change is y?
Step-by-step explanation:
The magnitude of the 2D vector is sqrt[x² + y²].
wrong answer sorry bout that
x divided by7 = 21
plss shelp
Answer:
x divided by7 = 21
therefore x= 3
Step-by-step explanation:
so 21/7 = 3
therefore x=3
Answer:
147
Step-by-step explanation:
you have to multiply 7 by 21
hope this helps dont 4get to like and star
-mercury
Two after school clubs are having pizza parties. The Science Club teacher orders 1 pizza to split equally between 3 students. The Robotics Club teacher orders 2 pizzas to split equally between 4 students. At which party do the students get more pizza?
The Robotics Club Teacher
hope this helps and Merry Christmas and Happy Holidays!!!<3