All categories

2 years ago

Please anyone can help

Mathematics

2 answers:

Anestetic [448]2 years ago

5 0

The answer to the question

mafiozo [28]2 years ago

3 0

Answer:

The equation would be y = 3x - 9

Step-by-step explanation:

In order to find the answer, we first need to note that parallel lines have the same slope. So since it is parallel to the other line, which has a slope of 3, we know that the new line will also have 3. We use that and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y + 3 = 3(x - 2)

y + 3 = 3x - 6

y = 3x - 9

You might be interested in

GCF of 8x^8 and 28x^4

hichkok12 [17]

8x^8=2*2*2*x*x*x*x*x*x*x*x
28x^4=2*2*7*x*x*x*x

GCF is the common group
GCF=2*2*x*x*x*x
GCF=4x^4

8 0

3 years ago

Please help 100 points and brainlest for all the answers

masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

$y=16x$

If $x=10,$ then $y=16\cdot 10=160$ square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

$y=0.45x$

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

$y=12.5x$

When $x=14,$ then $y=12.5\cdot 14=175$

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is $40\div 5=8$

and for x = 700, y must be $7\cdot 8=56$ not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is $k=1.75$

The equation of proportionality is $y=1.75x$

When $y=28,$ then

$28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16$

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

$k=\dfrac{61}{2}=30.5$

The equation of proportional relationship is

$y=30.5x$

When $y=274.50,$ then

$274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9$

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

$y=kx$

Circle all equations in this form:

$y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x$

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Clarge%5Cfrak%7B%20%5Cpurple%7B%20Question%7D%7D" id="TexFormula1" title=" \large\frak{ \

MAVERICK [17]

The number of students that were absent is; 24

<h3>How to find the Probability?</h3>

Let the total number of students be x .

The number of students which were absent = ¹/₃x.

Number of students which were present = ²/₃x

Thus;

Number of students who attended math's test = ¹/₂x

Number of students who attended physics test = ¹/₄x

No. of students who attended both tests = 6

A denotes number of students who attended math's test

B denotes number of students who attended physics test

Thus;

n(A) = ¹/₂x

n(B) = ¹/₄x

n(A ∩ B) = 6

n(A∪B) = number of students which were present

Thus;

n(A ∪ B) = n(A) + n(B) − n(A∩B)

²/₃x = ¹/₂x + ¹/₄x − 6

²/₃x = ³/₄x - 6

³/₄x - ²/₃x = 6

x = 72

Thus, number of students that were absent = ¹/₃ * 72

Number of students that were absent = 24

Read more about Probability at; brainly.com/question/251701

#SPJ1

5 0

2 years ago

Jimmy spent 55 minutes on solving 11 math questions. If it took him the same amount of time to solve each question how long woul

FinnZ [79.3K]

Answer:

Step-by-step explanation:

The problem is set up as 55/11.

55/11=5

Hope this helps!

4 0

2 years ago

Read 2 more answers

What is the inverse of f(x)=1/17x-3

Zielflug [23.3K]

Answer:

17x+51

Step-by-step explanation:

6 0

3 years ago