25x + 6 40x-3 13x

You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l

alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

Statement 1: The y-intercept is -1

Point (3/8, 1/2)

Slope = m = 4

y = mx + c

1/2 = 4(3/8) + c

1/2 = 3/2 + c

1/2 = 3/2 + 2c/2

-2 = 2c

c = -1

This statement is true as the y-intercept is -1.

Statement 2: The slope intercept equation is y= 4x - 1

slope = m = 4

y-intercept = c = -1

y = mx + c

y = 4x - 1

This statement is true as the slope intercept equation is y= 4x -1

Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)

Point slope equation: y - y1 = m (x - x1)

Points: (x, y) (3/8, 1/2)

y1 = 1/2

x1 = 3/8

Slope = m = 4

y - 1/2 = 4 (x - 3/8)

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

!!

6 0

3 years ago

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Kaylis [27]

Answer:

Adults $ 17

Students: $8

Step-by-step explanation:

Adults: x

Students: y

a) 25x + 31y = 673

b) 27x +31y = 707

Elimination:

a) -1(25x + 31y = 673) = -25 -31y = -673

a + b

= (-25 -31y = -673) + (27x + 31y = 707)

= 2x = 34

x = 34/2

x = 17

Substitution a or b:

a) 25(17) + 31y = 673

425 + 31y = 673

31y = 673 - 425

31y = 248

y = 248/31

y = 8

3 0

2 years ago

Which of the following is not a rational number?

IceJOKER [234]

Answer:

Option D is not a rational number

Step-by-step explanation:

A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.

For example, ¾ is a rational number while √3 is an irrational number.

Now to the question;

A) The product of 2 and 0.3333 gives;

2 × 0.3333 = 0.6666.

This can be expressed as a fraction as; 6666/10000.

Thus it is a rational number

B) The sum of 2 + √3 and 5 - √3 gives;

2 + √3 + 5 - √3 = 7

As a fraction, it can be written as; 7/1

Thus it is a rational number.

C) The sum of 37 and 12 is;

37 + 12 = 49

Can be expressed as; 49/1

Thus,it's a rational number.

D) Product of 2 and √2 gives;

2 × √2 = 2√2

It can't be expressed as a fraction with integers. Thus, it's not a rational number.

6 0

3 years ago

9. Write the number in place value table of 820245

Lorico [155]

Answer:

Hello! The answer to your question will be below.

Step-by-step explanation:

Attached below....

Number form:820,245

Word form: eight hundred twenty thousand two hundred forty-five

Expanded form: 800,000+20,000+0+200+40+ 5

Place value chart below!!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

3 0

3 years ago

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer nee

alexandr402 [8]

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

7 0

3 years ago

25x + 6 40x-3 13x - 3 x=