Solve the system of equations please
1/4x+y=1
3/2x-y=4/3
Answer:
[tex]\huge\boxed{x=\dfrac{4}{3};\ y=\dfrac{2}{3}\to\ \left(\dfrac{4}{3};\ \dfrac{2}{3}\right)}[/tex]
Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}\dfrac{1}{4}x+y=1\\\dfrac{3}{2}x-y=\dfrac{4}{3}\end{array}\right}\qquad|\text{add both sides of the equations}\\\dfrac{1}{4}x+\dfrac{3}{2}x=1+\dfrac{4}{3}\\\\\dfrac{1}{4}x+\dfrac{3\cdot2}{2\cdot2}x=\dfrac{3}{3}+\dfrac{4}{3}\\\\\dfrac{1}{4}x+\dfrac{6}{4}x=\dfrac{3+4}{3}\\\\\dfrac{1+6}{4}x=\dfrac{7}{3}\\\\\dfrac{7}{4}x=\dfrac{7}{3}\qquad|\text{multiply both sides by}\ \dfrac{4}{7}[/tex]
[tex]\dfrac{4\!\!\!\!\diagup}{7\!\!\!\!\diagup}\cdot\dfrac{7\!\!\!\!\diagup}{4\!\!\!\!\diagup}x=\dfrac{4}{7\!\!\!\!\diagup}\cdot\dfrac{7\!\!\!\!\diagup}{3}\\\\x=\dfrac{4}{3}[/tex]
Put it to the first equation
[tex]\dfrac{1}{4\!\!\!\!\diagup}\cdot\dfrac{4\!\!\!\!\diagup}{3}+y=1\\\\\dfrac{1}{3}+y=1\qquad|\text{subtract}\ \dfrac{1}{3}\ \text{from both sides}\\\\y=\dfrac{3}{3}-\dfrac{1}{3}\\\\y=\dfrac{3-1}{3}\\\\y=\dfrac{2}{3}[/tex]
A spinner has 4 equal sections. After spinning the spinner 15 times, the results are recorded in a table. Which of the given statements is true?
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used:
15 − 9 + 2.65 + 1.35 + 2(1.74)
Can you help him determine why he does not have enough money?
Answer:
He doesn't have enough money because the total of things he wants to buy is more than the money he has.
Step-by-step explanation:
9 + 2.65 + 1.35 + 2(1.74) must be less than or equal to 15. However all of this added together equals $16.48. This means that he doesn't have enough money.
Answer:
The total price of the items he wants to buy is $1.48 over the amount of money he has.
Step-by-step explanation:
DON'T DO THIS ONLY FOR POINTS OR YOUR ACCOUNT GETS DELETED!!! a health club charges $20 a month for membership fees plus a $45 enrollment fee. the equation y = 20x + 45 describes the total cost y for x months. determine the number of months if the total charge is $125. use a table to help solve
What is 2 4/5 ÷ 2/5?
Answer:
7
Step-by-step explanation:
dont answer if your not sure please.
Answer:
3 * (-10.50)
Step-by-step explanation:
Anaya will have -10.50 x 3 taken out of her account on monday.
-10.50 3 times
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:31.50
Step-by-step explanation: 10.50 multiplied by 3 is 31.50
10.50×3
for this you are subtrating polynomial expressions
please answer w/ explanation !!
is (1 , 2) the solution to the following system of equations?
Answer:
Yes this is a solution to the system of equations.
Step-by-step explanation:
What you do is you have to make sure that 1 and 2 are both real numbers, then you substitute the 7 for the first equations and the 14 from the second equation, and put the 2 there instead. Because you used the Y as the 7 in the first equation you can get rid of the Y in the equation and get X = 2, and you just check to make sure that 2 is included in the ( ). You are welcome :)
f(x)=2/3x−1 and g(x)=−4x+6. What transformation occurs from function f to function g?
Answer:
vertically stretched by multiplying each of its y-coordinates by 6, and is followed by a reflection across the x-axis.
Step-by-step explanation:
[tex]f(x)=\dfrac{2}{3}x-1\qquad|\text{multiply both sides by (-6)}\\\\-6f(x)=-6\cdot\dfrac{2}{3}+(-6)(-1)\\\\-6f(x)=-4x+6\\\\-6f(x)=-(4x-6)[/tex]
1. Given f(x)=4x+1 and g(x)=4(x+3)+1, describe how the graph of g compares with the graph of f.
A) The graph of g is shifted right 3 units from the graph of f
B) The graph of g is shifted down 3 units from the graph of f.
C) The graph of g is shifted up 3 units from the graph of f.
D) The graph of g is shifted left 3 units from the graph of f.
2. Given f(x)=4x+1, describe how setting = affects the slope and y‑intercept of the graph of g(x)=4(x+1)+3 compared to the graph of f
A) The slope of g is scaled by a factor of 4 from that of f, and the y‑intercept is not changed.
B) The slope of g gets steeper, and the y‑intercept is not changed.
D) The line of function g gets closer to the y-axis, and the y‑intercept is not changed.
C) All of the above.
Answer:
AB
Step-by-step explanation:
The graph of g is shifted left 3 units from the graph of f and 12 units up. Therefore, option D is the correct answer.
The given functions are f(x)=4x+1 and g(x)=4(x+3)+1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted up: 12 units
The graph of g is shifted left 3 units from the graph of f and 12 units up. Therefore, option D is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
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Solve for n:
6n − 2(4n + 7) + 4 = -2
A:-6
B:-4
C:4
D:6
Answer:
B
Step-by-step explanation:
6n - 2(4n + 7) + 4= -2 firstly you open the bracket
6n - 8n - 14 + 2 = -2 then you collect the like terms
6n - 8n= -2 + 14 - 4 then add and subtract and divide by the coefficient
-2n= 12 - 4
-2n = 8
= n = 8 ÷ -2
n = -4
The table shows the number of pages peter read in different numbers of minutes.
Minutes: 2,10,18,26
number of pages read: 6,30,54,78
based on the information in the table, How long would it take peter to read 42 pages?
a. 14 minutes b. 32 minutes c. 102 minutes d. 126 minutes
Answer:
the answer is A .14 minutes
Step-by-step explanation:
every minute you can finish three pages
so in 14 minutes you can finish 42 pages
if you were to cut a piece of paper in half 32 times, what fraction would this represent?
Answer:
32/2
Step-by-step explanation:
you cut in half so 1/2 but 32 times. If you want the mixed number its 16
Answer:
4/25
Step-by-step explanation:
On a multiplication facts test, Samantha had to know the facts from 1-12. She earned 3 points for every fact she solved correctly and used a 10 extra points ticket that she previously received from her teacher. Which equation can be used to find p, the total number of points Samantha earned for solving f facts correctly?
Answer:
[tex]y=3x+10[/tex]
Step-by-step explanation:
Step 1: Multiply 12 to 3
[tex]12 \times 3\\\\= 36[/tex]
Step 2: Add 10 to the result
[tex]10 + 36\\\\= 46[/tex]
Therefore, the equation to find this is [tex]y=3x+10[/tex]
Nina is selling three types of energy bars at a market stall.
She bought 80 Enerbars at 40p per bar and 180 Grainbars at 30p per bar from her normal supplier.
She was also given 40 Amazebars as a promotion from a new supplier.
Nina sells the bars for £2.25 and manages to sell all the Enerbars and Grainbars but only some Amazebars.
She makes a profit of £553.
How many Amazebars did she sell?
Answer:
She sold 24 Amazebars.
Step-by-step explanation:
Cost:
80 x 0.40 = 32
180x 0.30 = 54
40 x 0 = 0
Total = 86
Income
80 x 2.25 = 180
180 x 2.25 = 405
X x 2.25 = 2.25x
Total = 585 + 2.25x
How many did she sell:
553 = 585 - 86 + 2.25x
553 = 499 + 2.25x
553 - 499 = 2.25x
54 = 2.25x
54/2.25 = x
24 = x
A car company advertises that its top selling truck can tow up to 9,000 pounds. Write an inequality to show the amount of weight the truck can tow. Let p stand for number of pounds the truck can tow.
Answer:
P ≤ 9000
Step-by-step explanation:
p is less than or equal to 9000 pounds
What are the coordinates of point P on the coordinate grid below? A four-quadrant coordinate grid from negative 1 to 1 is drawn with grid lines to show increments of 1 over 8. Point P is plotted at the fifth grid line to the left of the y-axis and the third grid line above the x-axis. the ordered pair 5 over 8, negative 3 over 8 the ordered pair negative 5 over 8, negative 3 over 8 the ordered pair negative 5 over 8, 3 over 8 the ordered pair 5 over 8, 3 over 8
Answer:A is the answer
Step-by-step explanation:
Answer:
Hi!
Its A!
sorry i dont really have an explaintion, but i did take the test!
Someone help me put this in order
Answer:
do it as 1. 2. 3. 4. and so on!
Step-by-step explanation:
Please answer correctly! <3 12 pt question`
Answer:
300/1
Step-by-step explanation:
300 = 300/1
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
300/1
Step-by-step explanation:
Solve:
6(-x- 3) = 24
X=
PLEASE HELP!!!
Please find the gradient of the given lines when coordinates of the lines are not given. Please with detailed steps.
Answer:
Line 1 is 0 . Line 2 is undefined.
Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount and the second store sells the stereo for $458.40. Which store gives the bigger percent discount?
Answer:
18 period nah im playing
Step-by-step explanation:
A grocery store sells bags of oranges in two different sizes.
The 3-pound bags of oranges cost $4.
The 8 pound bags of oranges cost $9
Which Oranges cost less per pound? Explain or show your reasoning.
The 8-pound bags of oranges cost less per pound than 3-pound bags because the cost for 1-pound bag of oranges is 1.125 (this was taken from $9 divided by 8-pound). The cost per 1-pound bag of oranges ($4 divided by 3-pound bags) is 1.33...
Andrea has a length of ribbon that is 13 2/3 feet long. She needs of 5/8 a foot for each hair ribbon that she is making. How many hair ribbons can she make?
pls pls help
HELLo the attachment show the question dont answer if you dont know
solve the inequality: -7x + 3 < -53
Answer:
x > 8 or (8,∞)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Hope this helped you!! :)
Answer:
x > 8 or (8,∞)
Step-by-step explanation:
hope this helps
Carla packed her suitcase for her summer vacation. She packed four shirts: red, green, white and blue. She packed two belts: brown and black. Her shoe choices were: tennis shoes, boots and flip-flops.
How many possible outcomes are there? ________
What is the p(green shirt, brown belt, boots)? ________
Answer: 10
Step-by-step explanation: I think, doubloe check
2(c - 8)
What is the answer I need help?
Answer: 2c - 16
Step-by-step explanation: Distribute
Answer:
2c-16
explaination:
2(c-8) = 2c-16
Amelia needs to buy some dog food. At the nearest store, 5 bags of dog food cost $26.25. How much would Amelia spend on 3 bags of dog food?
Answer:
15.75
Step-by-step explanation:
first figure out how much each bag is (5.25) so 26.25 / 5
then multiply by 3
= 15.75
which is greater? -5.7 or -5 2/5
Answer:
-5 2/5
Step-by-step explanation:
we know that 2/5 is 0.4 so
it is -5.4
-5.4 is greater than -5.7