MATHEMATICS HIGH SCHOOL

A line has the equation y= 6x + 19 What are the coordinates of the y-intercept of the line

Answers

Answer 1
Answer:

Answer:

coordinates of y- intercept = (0, 19 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 19 ← is in slope- intercept form

with slope m = 6 and y- intercept c = 19 or in coordinate form (0, 19 )

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The sum of two numbers is 30.the first number is 1/5 of the second number. what are the numbers?

Answers

the 2md number can be y. This makes the first number 1/5 of y

Your equation is y + 1/5y = 30
You can randomly plug in numbers and you get that the first number is 5. This means that the second number is 25

Find the first 5 terms of the sequence: an = 4n-1.

Answers

#sol1

a1=1×4-1=3
a2=2×4-1=7
a3=3×4-1=11
a4=4×4-1=15
a5=5×5-1=19

#sol2

f(1)=1×4-1=3,
f(n+1)=f(n)+4,
so .... you know.

a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.

Answers

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

Which inequality will have a shaded area below the boundary line? A. y - x > 5 B. 2x - 3y < 3 C. 2x - 3y < 7 D. 7x + 2y < 2 E. 3x + 4y > 12

Answers

Answer:
D. 7x + 2y < 2

Explanation:
The two general forma of the inequality are:
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line

Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format

Now, let's check the givens:
y - x > 5
Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect

2x - 3y < 3
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect

2x - 3y < 7
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect

7x + 2y < 2
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct

3x + 4y > 12
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect

As a second solution, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D

Hope this helps :)
When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

How are fractions and ratios the same? How are they different?

Answers

Answer:

Step-by-step explanation:

Ratios depend on the numbers that are being compared. When you are describing a part of a whole, a fraction is appropriate. When you are comparing two numbers, a ratio is appropriate.

Basically you can write ratio as fraction

Ex-4:2, 4/2

See what I mean?

How many centimeters are in 2.50 meters? How many kilometers are in 2.50 meters

Answers

for question 1= 1 cm = 100 m
                            ?     = 2.50 m
then cross multiply = 1 cm ×2.50 m/100 m
                                 = 5 cm/ 2
                                   =2.5 cm
so the answer is there are 2.5 cm in 2.50 m
 for question 2= 1 km = 1000 m
                                  ?=2.50 m
then cross mutiply= 1 km × 2.5 m/ 1000 km
                                 0.0025 km
so the answer is there is 0.0025 km in 2.50 m 
 hope i helped
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