Answer:
The system y=-3x + 4 and 3y = -9x+ 12 would contain infinitely many solutions.
Step-by-step explanation:
Any system of equations that have the same equations would have infinitely many solutions.
In other words, if the two linear equations have the same slope and y-intercept, then the system of solutions would contain infinitely many solutions. So, their graphs would have exactly the same line
Also If the equation ends with a true statement, for instance, 3 = 3, then the system has infinitely many solutions or all real numbers.
Given the system of equations
[tex]y=-3x + 4[/tex]
[tex]3y = -9x+ 12[/tex]
Writing both equations in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
y=-3x + 4
Here,
m = -3
b = 4
3y = -9x+ 12
dividing both sides by 3
y = -3x + 4
Here,
m = -3
b = 4
As both equations have the same slope and y-intercept 'b'. Thus, the system of equations has infinitely many solutions.
Now checking:
[tex]\begin{bmatrix}y=-3x+4\\ 3y=-9x+12\end{bmatrix}[/tex]
substitute y = -3x+4
[tex]\begin{bmatrix}3\left(-3x+4\right)=-9x+12\end{bmatrix}[/tex]
for y = -3x+4
Expressing y in terms of x
[tex]y=-3x+4[/tex]
Thus, the solution would contain
[tex]y=-3x+4,\:x=x[/tex]
We know that If the equation ends with a true statement, for instance, x = x, then the system has infinitely many solutions or all real numbers.
Thus, the system y=-3x + 4 and 3y = -9x+ 12 would contain infinitely many solutions.
A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck’s revenue from selling a total of 209 salads and drinks in one day was $836.50. How many salads were sold that day?
Answer:
93salads
93×6.50=604.50
116×2=232
93+116=209
604.50+232=836.50
3/5 + 7/10 - 1/2.
7 minutes left!
Answer:
8/10 or 4/5 (simplified)
Step-by-step explanation:
3/5 > 6/10 (x2 by numerator and denominator to match with 7/10)
6/10 + 7/10 = 13/10
13/10 - 1/2 > 13/10 - 5/10 = 8/10
8/10 or 4/5 (simplified)
What is the slope of a line that contains points (4,4) and (1,-2)?
Answer:
y = 2x - 4
Step-by-step explanation:
First, find the gradient of the line, which is the change in y divided by the change in x. You would get 2. Then, you substitute 2 into your slope equation to get y = 2x + c (c is commonly b in America, but in England we tend to use c instead). Then, substitute the coordinate (4,4) into the equation, and after solving for c, you would get -4.
Therefore, your final answer for the slope would be y = 2x-4
Answer:
2
Step-by-step explanation:
The slope is equal to rise over run, this is the the change in y over the change in x. This is the slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
In this case it would look like this: [tex]\frac{-2 - 4}{1 - 4}[/tex] = -6/-3 = 2
PLEASE HELP
10 POINTS!
Answer:
point c is right answer
Step-by-step explanation:
you can also count after -7 d is at -5 the number and then c is located between -7 and -8 so its -7.75
The Williams family goes shopping, and spent $95.00. The sales tax for the clothing is 8%, and they also have a coupon for 20% off. What is the
total cost of the shopping trip?
Simplify 5(6x+9)-3x+4
Answer:
27x+49
Step-by-step explanation:
1. Start by distributing the 5 to 6x+9. This means to multiply 6x and +9 by 5.
6x times 5 = 30x
5 x 9 = 45.
5(6x+9) simplifies to 30x+45
2. Rewrite the expression as 30x+45-3x+4
3. Combine like terms.
30x - 3x = 27x
45 + 4 = 49
27x+49
Help please ASAP !!
!!!!
Answer:
im gonna say 23 or 24 not 100% sure
Step-by-step explanation:
data handling formula
Answer:
what do you have to do or solve... it doesn't make sense what's got to happen
(3 + 8i) + (7 -- 2i) - (6 - 5i)
AO 4+1
B.O4 + 117
c. 16 +1
D.O4 + 1143
Answer: (3 + 8i) + (7 -- 2i) - (6 - 5i) = 4 + 15i
_____________________________________________
Simplify the expression.
4 + 15i
_____________________________________________
I need everyone to know something! Don't let anyone ever push you down or call you worthless.
You are worth everything and more! So stay strong, hold on, and live long!
Most people don't hear this often. Your all loved, no matter what it feels like. So please, stay strong. If not for yourself then for me and everyone else who cares for you...
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angle 2= 4x-26 angle 3= 3x +4
Answer:
94 for both angle 2 and 3
Step-by-step explanation:
4x-26=3x+4
x=30, so
4(30)-26=94 and 3(30)+4=94
Answer:
x = 30
Step-by-step explanation:
4x−26=3x+4
Step 1: Subtract 3x from both sides.
4x−26−3x=3x+4−3x
x−26=4
Step 2: Add 26 to both sides.
x−26+26=4+26
x=30
AHH PLS HELP
What are the X and Y intercepts for a line with the standard form equation of 3X + 7Y = 21
. 4/2y - 31 - 1 = 11
Answer:
the correct answer is
y = 42
hope this helped :)
If yall help me with all the answers ill give you 32 points. Ik this is easy but I'm too lazy to do this. someone help me, please.
Answer:
100-both
75-5
565- 5
2815- 5
10050- both
57- 3
1365- 3
14- 2
81- 3
3850- 2
333- 9
1125- 9
448- 8
630- 9
5496- 8
114- 6
21,750- 6
3580- 4
2528- 4
944- 4
Step-by-step explanation:
Hello does anyone know how to figure this out? - 3(4 + x) = x + 6
Answer:
-4.5
Step-by-step explanation:
-12-3x=x+6
-4x=18
x=-4.5
Answer:
-4.5=x
Step-by-step explanation:
First you would distribute the -3 to the 4 and x inside the parentheses
It would be -3 x 4= -12
Then -3 x X= -3x
So your equation would now be -12+ -3x = x + 6
Now you add 3x to the -3x to cancel it out and then add it to the x
So your equation now looks like -12=4x +6
Then you subtract 6 from the 6 to cancel it out and add it to the -12
Now your equation looks like -18=4x
Then you divide 4 from the 4x to cancel it out and then divide 4 from the -18
Finally you have -4.5=x
I'm unsure if this is correct but hopefully this helps :)
If I have a 74 in geometry, and I have an assignment worth 100 points then I get a zero, what would my grade be?
................
Step-by-step explanation:
it would at LEAST be like around 20-30 because a 0 can drop something FAST
Use the slope formula to find the slope of the line that passes through the points.
Answer:its 4/5
Step-by-step explanation:
A company paid $48 for 2 cases of printer paper./Each case contained 12 packages of paper./ Next month the company's office manager needs to order 180 packages of the same paper./ If the price per package does not change,/ what would be the total cost of next month's order?
Answer:
$360
Step-by-step explanation:
Calculation for what would be the total cost of next month's order
First step is to calculate how much they paid per the two cases of printer papers
Two cases of printer paper=$48 /2
Two cases of printer paper=$24 per case
Second step is to calculate the cost of each package of printer paper
Cost of each package of printer paper=$24/12 packages of paper
Cost of each package of printer paper=$2
Last step is to calculate the total cost of next month's order
Total cost=180 packages*$2
Total cost=$360
Therefore what would be the total cost of next month's order is $360
Evaluate for f(-2).
f(x) = 8x-10
Answer: f(-2) = -26
Step-by-step explanation:
Substitute -2 in x, it would look like:
8(-2) - 10
-16 - 10
= -26
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which number sentence is true?
Answer:
A 8.565 < l-13.23l
Step-by-step explanation:
Because the brackets makes the -13.23 positive
Can someone help plz
Answer:
See explanation
Step-by-step explanation:
x f(x)
-2 -5.9375
-1 -5.75
0 -5
1 -2
2 10
x intercept : -5
y intercept : -6
Question 7
10 pts
Find the length of the missing side. Round to the nearest tenth (one decimal place).
7
loo
Answer:
its 93 -_-
Step-by-step explanation:
If its wrong sorry
Evaluate and Simplify the expression: 4 + 6p when p =3
Answer:22
Step-by-step explanation:
4+6p
4+6(3)
4+18
22
A campsite charges a flat fee per vehicle and a price per camper for each evening. The table shows the number of campers, 2, at a local campsite
and the total amount of money, y, in dollars, earned by the campsite.
Number of Campers, x
24
35
41
27
Total Amount, y
$96
$140
$164
$108
Which best represents the units for the rate of change in the table?
campers
campers per dollar
dollars
dollars per camper
Answer:
dollars per camperStep-by-step explanation:
If the number of campers is considered as domain of the function, then the amount of charge is the range of this function
The rate of change is the change in range per change in domain, therefore it can be represented by:
dollars per camperFind the x-intercept of the line: 10x-14y=2?
Answer:
y=2
Step-by-step explanation:
Do you have the graph? pls kindly snap it
can someone answer this for me please i’m desperate
Answer:
The Y-Intercept is (0,1)
the width of a rectangle is fifteen feet less than the length . if the area of the rectangle is 54 square feet , find the width .
a. 3 ft
b. 6ft
c. 9 ft
d. 18 ft
Answer:
A
Step-by-step explanation:
A. 3 x 18 = 54
B. 6 x 21 = 126
C. 9 x 24 = 144
D. 18 x 33 = 594
What is the relationship between the base angles of an isosceles triangle?
what element is 1s22s22p63s23p63d104s1
Answer:
Copper
Step-by-step explanation:
Count the exponents and this tells you the proton amount (atomic number)
and electron count
This is the electron configuration
Answer: copper
Step-by-step explanation: 1s22s22p63s23p63d104s1 is the election configuraction
Complete the missing value in the solution to the equation:
1 5y+10x=2x-y (1/2,
2 3y+2x=x+4 ( ,2/3)
3 1/2y+2=x+10 ( ,4)
Answer:
10
Step-by-step explanation:
Answer please want a good grade
Answer:
x value=1
Step-by-step explanation:
Look where the two lines meet. That point is called the solution. The solution is (1,-4)