Tao uses elimination to solve the following system of linear equations.
Given:
The system of equation is:
[tex]-2x+4y=16[/tex]
[tex]2x+2y=8[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]-2x+4y=16[/tex] ...(i)
[tex]2x+2y=8[/tex] ...(ii)
Add (i) and (ii) to eliminate the variable x.
[tex]6y=24[/tex]
[tex]y=\dfrac{24}{6}[/tex]
[tex]y=4[/tex]
Putting [tex]y=4[/tex] in (ii), we get
[tex]2x+2(4)=8[/tex]
[tex]2x+8=8[/tex]
[tex]2x=8-8[/tex]
[tex]2x=0[/tex]
Divide both sides by 2.
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.
Answer:
(0,4) or A
Step-by-step explanation:
Edge 2021
Which could be the first step in solving the equation represented by the model below?
X X X x
II
O Add 4 negative unit tiles to both sides.
O Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
O Add 4 positive unit tiles to both sides.
O Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Hey! Can someone help me find the value of x please!!!!! it's my last question!
Answer:
is this math
Step-by-step explanation:
Answer:
3x!
Step-by-step explanation:
Since the sides are the same (marked with the lines on the side) the 2 angles are also the same! :D
y=3x(4-5y) pls help :)))))
Answer:
12x - 15xy
Step-by-step explanation:
3x(4-5y)
12x - 15xy
Answer:
The answer is y=12x ÷ 1+15x
Step-by-step explanation:
Simplify and keep y on the left side
The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money do you expect the school to pay out in prizes? *
Answer:
The total money which is collected is $72..
Please help due today
Answer:2.3
Step-by-step explanation:
Cut the the shape into a right triangle and a rectangle
Tri: find measure of the base
sin(45)= opp/hyp
= x/1.8
1.8 *sin (45) = x
x = 1.3
base of tri = 1.3
Area of tri = 1/2bh
1/2(1.3)(1.3)
=0.845
Area of rectangle: 1.1*1.3=1.43
Total area = 1.43+0.845
=2.245
=2.3m^2
A jar contains 3 yellow and 7 green marbles. You randomly draw one marble from the jar then REPLACE it and randomly draw a second marble. Find the probability that you draw a yellow marble first and then a green marble.
3 yellow + 7 green = 10 total marbles.
The probability of picking a certain color is the number of that color over the total quantity.
Picking yellow would be 3 yellow / 10 total = 3/10
Picking green would be 7 green / 10 total = 7/10
To find the probability of doing both multiply the probability of each one by each other:
3/10 x 7/10 = 21/100
The answer would be 21/100
help me please i could really use some help
the answer is in the picture
What will be the multipicative inverse of 6?
Answer:
1/6
Step-by-step explanation:
The multiplicative inverse of a number is that number as the denominator, and 1 as the numerator. Let's solve this problem using that knowledge.
6 × ? = 1
6 × m = 1
(m stands for multiplicative inverse)
m = 1/6
Best of Luck!
can someone help me with this please!!
Step-by-step explanation:
m L ACB minor = 360 -250 = 110°
Luas ∆ ABC = ½ × AC × BC x sin L ACB minor
= ½×6×12.5× sin 110°
= 37.5 × 0.9397
= 35.24 cm²
semoga membantu
Question 2 of 10 What is the slope of the line shown below? O A O B. O c. LOG O p. 3
A, B or D
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Between which two integers does -√46 appear on the number line please write in words
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Explanation:
List out the perfect squares
1^2 = 12^2 = 43^3 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 64and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Answer:
Step-by-step explanation:
First notice that -√46 lies between -√49 and -√36, that is, between
-7 and -6.
Here all three numbers are negative because they lie to the left of zero (0) on the number line.
Determine the intercepts of the line 4x-1=3y+5
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
That is the question below!
Answer:
Step-by-step explanation:
Dhehekej
The radius of a circular garden is 10 feet. Find the diameter, circumference, and area of the garden
Answer:
gi ok ñn?n
no hablo Taka Taka
Step-by-step explanation:
h
fycyvjmljid trabajos de todo n ok la ya TAS h BB la
Given that f(x) = 9 − x and g(x) = x^2
Calculate
a) f(3)
b) g(−4)
Answer:
a) f(3) =6
b) g(-4) =16
Step-by-step explanation:
answer to a, substitute X with 3. which will be f(3)=9-3
=6
answer to b, substitute X with -4, which will be g(-4)=(-4)^2
=16
calculate the area of the rectangle with length 9cm and breadth 4cm
Answer:
36cm^2
Step-by-step explanation:
the answer is
area of rectangle =l×b
=9×4.
=32
5) Find the value of x
Answer:
x = 28
Step-by-step explanation:
the angle shown is a right angle
right angle = 90°
•°• (x + 6) + 56 = 90
=> x + 62 = 90
=> x = 90 - 62
=> x = 28Answer:
28
Step-by-step explanation:
5)
(x + 6)° + 56° = 90°
x + 6 + 56 = 90
x + 62 = 90
x = 90 - 62
x = 28
Express sin P as a fraction in simplest terms.
Answer:
1/15
Step-by-step explanation:
sin P = ON/PN = 2/30 = 1/15
. Is (4,-3) a solution to the following system of equations?
X - y = 4
2x + y = 5
(Use elimination method)
Answer:
No. The correct solution is (3,-1)
Step-by-step explanation:
Since we are using elimination method, we can go ahead and see that we can cancel "-y" from the first equation and "+y" from the second equation.
Once we do that, we go ahead add the like terms and get 3x = 9
Then, we divide by 3 on each side and get x = 3
Now, we can take that value of x and plugin to any of the original 2 equations we started with.
Say we plugin x = 3 into the second equation.. it will turn to, 2(3) + y = 5
Then we solve for y.
2(3) + y = 5
6 + y = 5
6 - 1 = 5
y = -1
There, we found our x value and our y value, (3,-1) :)
Use the line of best fit to predict the total amount of money earned in tips
after working 12 hours.
A. $100
B. $102
C. $120
D. $112
Answer:
So its C! Heart it if its explained well, thanks!
Step-by-step explanation:
There is a pattern. The ordered pairs look like this...(1,10), (2,20), (3,30), (8,80) etc. So if we keep going (12,120)
Answer:
C
Step-by-step explanation:
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the volume of the box?
Answer:
4.5
Step-by-step explanation:
Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300.
How much money will she make in all over 4 weeks?
Enter your answer, rounded to the nearest cent, in the box.
HELP FAST PLEASE
Answer: 1856.10
Step-by-step explanation:
Suzie will make $1856 in 4 weeks.
Suzie will make a profit of:The first week 300
The second week: 300 x 30% + 300 = 390
The third week: 390x (1430%) = 507
The fourth week: 507 × (1430%) = 659.1
So Sum to: 300 +390 +507 +659.1 = 1856.1
Profit is $1856.
Learn more about profit here: brainly.com/question/19104371
#SPJ2
1. Find the median, mode, and mean for, {1, 4, 8, 3, 4, 5, 2, 2, 2, 5}
Answer:
Mean: 3.6
Median: 3.5
Mode: 2
Step-by-step explanation:
Mean: The sum of all numbers divided by the amount of numbers.
Median: The number in the middle.
Mode: the number that is frequently used.
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Mean: 1 + 4 + 8 + 3 + 4 + 5 + 2 + 2 + 2 + 5 = 36 ÷ 10 = 3.6
Median: 1, 4, 8, 3, 4, 5, 2, 2, 2, 5. since two numbers are in the middle, we need to add 3 + 4 ÷ 2 = 3.5
Mode: 1, 4, 8, 3, 4, 5, 2, 2, 2, 5. The mode is two because it is used the most.
Of the first fifteen kindergartners, four of them select treat bags containing bubbles, and eleven of them select treat bags containing sidewalk chalk.
The next kindergartner in line is ____ to select a treat bag containing bubbles than of sidewalk chalk
Equally likely
Less likely
More likely
Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared
Answer:
AC^2+BC^2= AB^2
So 5^2+8^2=c^2
5 squared + 8 squared = c squared
Please mark me as brainliest.
Tom bought a pizza. He ate 1/3 of the pizza and gave some of it to his brother. He was left with 1/5 of the pizza. What fraction of the pizza did he give to his brother?
Answer:
2/3 = 10/15
1/5 = 3/15
10/15 - 3/15 = 7/15 of the pizza to his brothers
What is the slope of the line that contains the points (-2,7) and (2,3)?
Find value of x
A.)46
B.)80
C.)15
D.) 26
The two angles are supplementary angles, which when added together equal 180 degrees.
6x -10 + 6x +10 = 180
Combine like terms:
12x = 180
Divide both sides by 12:
x = 180/12
x = 15
The answer is C) 15
Which is the correct formula for the function?