When is the nearest whole number to 3.2

Answers

Answer 1

Answer: Its 3. Since 2 is a small number, lower than 5, so you round down to 3

Answer 2

Answer: the nearest whole #umber is three

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded. Which system of linear inequalities is represented by the graph? y > x – 2 and x – 2y < 4 y > x + 2 and x + 2y < 4 y > x – 2 and x + 2y < 4 y > x – 2 and x + 2y < –4

Answers

Answer:

$y\geq x-2$

$x+2y<4$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute the values

$m=(0+2)/(2-0)$

$m=(2)/(2)$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute the values

$m=(0-2)/(4-0)$

$m=(-2)/(4)$

$m=-(1)/(2)$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-(1)/(2)$

$b=2$ ---> the y-intercept is given

substitute

$y=-(1)/(2)x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y<-(1)/(2)x+2$

Rewrite

Multiply by 2 both sides

$2y<-x+4$

$x+2y<4$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y<4$

see the attached figure to better understand the problem

Answer:

17 1st option

35 2nd option

Step-by-step explanation:

What is the result of adding -2.9+6.8 and 4.4 - 7.3

Answers

1.5a - 0.5, or D. Use a calculator if it helps.

Graph the line with slope 4 and y-intercept -7

Answers

The graph the line y = 4x -7 with slope 4 and y-intercept -7 is attached below.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate y₁ - y coordinate

m - slope

Given the line with slope 4 and y-intercept -7

Now Write the equation as;

y = mx + c

y = 4x -7

Hence, the graph the line with slope 4 and y-intercept -7 is attached below.

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Start on -7 since it is the y intercept(b). 4/1 is the slope. So from seven you would go up 4 right 1.

Tina is plant a garden with the area of 25 square feet what could the length and width of her garden be

Answers

length=5 (each side)
width=5 (each side)

Estimate the sum of 487 and 310

Answers

The sum of the numbers 487 and 310 is 797.

What is summation?

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given that the numbers are 487 and 310. The summation of the numbers will be calculated as:-

Summation = 310+487

Summation = 797

Therefore, the sum of the numbers 487 and 310 is 797.

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487 is almost 500, so we will approximate 487 as 500.
310 is just over 300, so we will approximate 310 as 300.

300+500=800 (estimation)
310+487=797 (actual)

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the seconds number and 5 what which equation can show this x represent the second number

Answers

first number=1/2x+3
first number=1/4x+5

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