Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!What is the percent of change if 18 is increased to
452
I need help with this question
Answer:
The time may be calculated by making the equations equal each other:
2w +7 = .5w + 10
1.5w = 3
weeks = 2
Step-by-step explanation:
43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1
X-7y=8
5x+4y=20
1.
The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So, 2x + 3y = 4 (1)
12x + 3y = 1 (2)
We multiply equation (1) by 2
So, 2x + 3y = 4 (1) × 2
⇒4x + 6y = 8 (3)
Replacing (1) by (3), we have
4x + 6y = 8 (3)
12x + 3y = 1 (2)
So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.
2.
The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So,
x - 7y = 8 (1)
5x + 4y = 20 (2)
We multiply equation (1) by 3, we have
So, x - 7y = 8 (1) × 3
⇒3x - 21y = 24 (3)
Replacing (1) by (3), we have
3x - 21y = 24 (3)
5x + 4y = 20 (2)
So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.
Learn more about equivalent equations here:
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carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?
RS is the perpendicular bisector of TU. Find x and y
Answer:
x = 1
y = 30°
Step-by-step explanation:
is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':
20x-3 = 5x+12
15x = 15
x = 1
we also know that RS intersecting with TU creates a 90° angle
if 3y = 90 then y = 30
Tutorial
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts
5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180
Answer:
C
Step-by-step explanation:
The probability of getting heads or tails is 50%.
300*50% = 150
Answer:
C. 150 times
Step-by-step explanation:
Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150
If x < -4, then -4 is a solution.
True
False
Answer:
true
Step-by-step explanation:
the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included
Answer:
i believe it would be true
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?
Answer:
4.6 feet (explanation of division)
Answer:
The length of each piece is 4.6 feet
Step-by-step explanation:
Which table represents the same proportional relationship as the equation Y= 36x?
Answer:
C
Step-by-step explanation:
It does what the equation says. It multiplies x by 36
I hope this helps!
2
Question 7(Multiple Choice Worth 1 points)
(04.04LC)
Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is
2 units. What are the coordinates of the location of the second stage light?
2
16-14-12-1046
012101
O (8.-10)
O (8,2)
(14,2)
(14.-10)
Answer:
Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)
Wilson Green sells home security systems. He earns an 13% commission on every system he sells. Wilson's sales for this month totaled $6425. What is Wilson's commission? *
Answer
$835,25
Explanation
Total sales = $6425
Commission = 13%
100% - $6425
13% - x
13 * 6425 = 83525
83525 \ 100 = 835,25
12 5 x-10 what is the value of x
Answer:
X=23
Step-by-step explanation:
12²+5²=(X-10)²
144+25=(X-10)²
169=(X-10)²
√169=√(X-10)²
13=X-10
X=23
Find the quotient of 1/6 and 2/9
Answer:
3/4 or 0.75
Step-by-step explanation:
When dividing- quotient- fractions, remember keep, change, flip
Keep- keep the first fraction
Change- change the division sign into a multiplication sign
Flip- flip the second fraction
So your problem really is:
[tex]\frac{1}{6} *\frac{9}{2}[/tex]
Which is: 9/12 or 3/4
write the equation of the line in fully simplified slope-intercept form
y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)
Y-5=0.5x^2+6x-3 how many x-intercepts does the graph of this quadratic have ?
we have that
Y - 5 = 0.5x2 + 6x - 3--------------- > y=0.5x2 + 6x -3+5=0.5x2 + 6x+2
y=0.5x2 + 6x +2
using a graphic tool
see the attached figure
the graph have two x-intercepts----------> (-11.657,0) and (0.343,0)
Help me with this please!!!
Write the function for the graph!?!??
The y intercept is the y value when x is 0 which is shown on the graph as (0,4) making the y intercept is 4
The next point given is (1,8) which shows for every 1 increase in x (1-0 = 1) the y value increases by a multiple of 2 (4 x2 = 8)
The equation would be f(x) = 4 * (2)^x
The answer is B
How do you write 9,200 in scientific notation?
Answer:
9.2 x 10^3
Step-by-step explanation:
HOPE THIS HELPS and if it does brain pls thx
What is the next term of the geometric sequence?
192, 48, 12,
Answer:
3
Step-by-step explanation:
The pattern is dividing 4 each time.
192/4=48
48/4=12
12/4=3
Hope this helps! Plz give brainliest!
Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.
Korey's net profit margin is 42.5%.
Net profit margin is the ratio of net income to net sales. It is a profitability ratio. Profitability ratios measure the efficiency with which a company generates profit from its asset.
Net profit margin = net income / net sales
Net profit margin = $1850 / $4350 = 0.425 = 42.5%
A similar question was answered here: https://brainly.com/question/5990973
Answer:
A. 42.5%edge⬇️
If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?
Answer:
domain will be ( -∞, ∞)
Step-by-step explanation:
The given functions are f(x) = x² - 1 and g(x) = 2x - 3
We have to find domain of (fog)(x)
We will find the function (fg)(x) first.
(fog)(x) = f[g(x)]
= (2x - 3)²
= 4x² + 9 - 12x - 1
= 4x² - 12x + 8
= 4 (x² - 3x + 2)
The given function is defined for all values of x.
Therefore, domain will be ( -∞, ∞)
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What are the factors of 14 and 7?
ANSWER ALLL PLEASEEEEEEEEE ILL GIVE BRAINLIST !!!!!!!!!
Answer:
question 3 is $9.99
question 4 I believe is the third option
how many feet are in 306 inches
Answer:
25.5
Step-by-step explanation:
There are 12 inches in a foot and therefore...
306/12=25.5
306 inches is 25.5 feet
Given points A(6,4),B(-2,1)and C(5,0), graph triangle ABC and its reflection image across each line. The x-axis
Answer:
A’ (6, -4)
B’ (-2, -1)
C’ (-5, 0)
Step-by-step explanation:
When reflecting anything across the x, the x values stay the same and the y values become opposites. When reflecting anything across the y, the x values become the opposites and the y values stay the same.
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Find out more on reflection at: https://brainly.com/question/14062035
Sasha practices piano for 45 minutes, 6 days a week. How many minutes does Sasha practice in a week? Use an area model to solve.
Answer:
270
Step-by-step explanation:
Because i multiple 45 by 6
is this correct ? if not what’s the correct answer?
Answer:
No. The correct answer would be C.
Step-by-step explanation:
AAS: The side cannot be in between the two angles.
ASA: The side is in between the two angles.
Identify the error and fix the mistake
Answer:
x = (9 ±√201) ÷ 12
Step-by-step explanation:
6x² -5x -9 = 0 ( rearranged)
a = 6 b = -5 c = -9
- - 9 = 9
-9² = 81 (the 81 must be positive, this is one error)
-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)
120 + 81 = 201
x = (9 ±√201) ÷ 12
What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.
The remainder of the equation is [tex]\rm x+1[/tex].
Given that,
When the equation is [tex]x^3+1[/tex] divided by [tex]x^2-x+1[/tex].
We have to determine,
The remainder for the equation?
According to the question,
The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]
Hence, The required remainder of the equation is [tex]\rm x+1[/tex].
For more details refer to the link given below.
https://brainly.com/question/25880057
Answer: a
Step-by-step explanation:
on edge
Do the ratios 18 7 and 2 1 form a proportion?
Hi!
There are a few ways we can do this. The first one is this:
The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]
To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.
Therefore they are not proportions.
The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:
[tex]\frac{18}{7}[/tex] [tex]\frac{2}{1}[/tex]
To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.
Therefore they are not proportions.
Hope this helps! Have a great day! Let me know if you need any other help :D