CAN SOMEONE HELP ME FAST. thanksY= 3x + 2 Is the equation of a straight line graph. Where does it cross the y-axis? Also can you tell me how to work it out?

Answers

Answer 1

Answer:
That equation is in what's called "standard form". It's the form where
'y' is all alone on one side and everything else is on the other side.
The reason it's called "standard form" is because when the equation
is written that way, you can just LOOK at it and tell so much about it.

   Y = (the number next to 'x') X + (a number all alone) .

When the equation is written like this:

-- If the 'x' has no power written, like x² or x³ , then
you know the graph of the equation is a straight line.

-- "The number next to x" is the slope of the line on the graph.
   If the number is positive, the line slopes up.
   If the number is negative, the line slopes down.

-- "The number all alone" is the y-intercept of the graph ...
   the point where the line crosses the y-axis.

Your equation is Y = 3 x + 2 .

-- The equation is written in 'standard form'.

-- The 'x' has no exponent written, so its exponent is ' 1 ',
   and you know the graph is a straight line.

-- The number next to 'x' is 3 .
   The line on the graph slopes up, and its slope is 3 .

-- The number all alone is 2 .
   The line on the graph crosses the y-axis at the point y=2 .

Answer 2

Answer: The equation is a straight line on the graph because it is in slope-intercept form. (y=mx+b) It crosses the x-axis at (0,2) since if you substitute 0 for x, it comes out as 2. (3*0=0, 0+2) The y-intercept is the y-value when x is 0.

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The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books

Answers

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

= 10 × 2.2 cm

= 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.A.The area of the rectangle is 88 square inches.
B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
D.The triangle has a base of 11 inches and a height of 8 inches.
The rectangle has a width of 4 inches.

Answers

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

$A=x*y$

The area of the two congruent right triangles is equal to the area of the rectangle

$A=2*44=88\ in^(2)$

$88=x*y$ -------> equation A

$y=x-3$ -----> equation B

Substitute equation B in equation A

$x*[x-3]=88$

$x^(2) -3x-88=0$ --------> equation that can be used to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

$x=11\ in$ -----> the length of the rectangle

Find the value of y

$88=11*y$

$y=8\ in$ ----> the width of the rectangle

Statements

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) The equation $x*[x-3]=44$ can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation $x*[x-3]=88$ can be used to solve for the dimensions of the triangle

case C) The equation $x^(2) -3x-88=0$ can be used to solve for the length of the rectangle

The statement is True

see the procedure

case D)The triangle has a base of $11$ inches and a height of $8$ inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

case E) The rectangle has a width of $4$ inches

The statement is False

See the procedure

The correct statements are:

The area of the rectangle is 88 square inches.
The equation x^2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
The triangle has a base of 11 inches and a height of 8 inches.

What are the dimensions of the rectangle?

When a rectangle is split diagonally, two right triangles are formed.

The area of a triangle = 1/2 x base x height

44 = 1/2 × (x - 3) × x

Where x represents the length

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 2: 88 = x² - 3x

x² - 3x - 88 = 0

Use the factorisation method to find x: (x² + 8x) (-11x - 88x)

x(x + 8) -11(x + 8)

x + 8 = 0

x = -8

x - 11 = 0

x = 11

Width = 11 - 3 = 8

Area of the rectangle = length x width

11 x 8 = 88 square inches.

To learn more about how to determine the area of a triangle, please check: brainly.com/question/9329354

How to change 4.1 into a decimal?

Answers

Well you can't change 4.1 into a decimal because it's already a decimal with a decimal point included in it, so there's really no point of asking that question when you've already done it yourself! Just wanted to notify you on that point.

You can't change it to a decimal because it is already a decimal.

The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10. what is the value of y when x=6?

Answers

The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.

The two points from the given information are (0, 4) and (3, 10).

Let us find the $slope = (10-4)/(3-0)$

=6/3

Now let us find the y intercept to write the equation in slope intercept form.

Consider the point (0, 4) to find y intercept.

Plug in the point values in slope intercept form:

4=2(0)+b

Solve for b:

b=4

The equation in slope intercept form is y=2x+4.

Now let us find the value of y when x=6.

Plug in x as 6 in the equation y=2x+4.

y=2(6)+4

y=12+4

y=16

Hence, the value of y is 16 when x is 6.

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We know x+y=0; so, if x=6 y= -6

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct solutions? (options on photo)

Answers

Answer:

$Fx=(5\pm√(25+24) )/(6)$

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

$ax^2+bx+c$

Where:

$a\neq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

$x=(-b\pm√(b^2-4ac) )/(2a)$

So:

$y(x)=3x^2-5x-2=0$

As you can see, in this case:

$a=3\nb=-5\nc=-2$

Using the quadratic formula:

$x=(-b\pm√(b^2-4ac) )/(2a)=(-(-5)\pm√((-5)^2-4(3)(-2)) )/(2(3))=(5\pm√(25+24) )/(6)$

Therefore, the answer is:

$Fx=(5\pm√(25+24) )/(6)$

guests at a party are seated at 3 tables. small table has 5 seats and 2 pizzas. medium table has 7 seats and 3 pizzas. the large table has 12 seats and 5 pizzas. which table gets most pizza?

Answers

At the small table, the fraction of pizzas per person is:
2/5
Or 40%.

At the medium table, the fraction of pizzas per person is:
3/7
Or about 48%.

At the large table, the fraction of pizzas per person is:
5/12
42%

So, the medium table gets the most pizza.

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