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3 years ago

They want this in interval notation x < - 4

Mathematics

1 answer:

Yuki888 [10]3 years ago

6 0

Answer:

Interval Notation: (-∞, -4)

Step-by-step explanation:

Since x is less than -4, if can be any number less than 4. So it would be from negative infinity to negative 4. I used parenthesis ( instead of brackets [ because you are not including -4 and you are obviously excluding infinity because infinity is not a number.

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Mr. Matthew purchases 22 boxes of pencils 5 fourth grade classes each box contains 45 pencils how many pencils were each class r

Aleks04 [339]

Answer:

198

Step-by-step explanation:

No. of Pencils in a box = 45

No. of Boxes of Pencil = 22

Total No. of Pencils = $45 \times 22$

= 990

No. of fourth grade classes = 5

So, the no. of pencils each class will receive is,

$= \frac{990}{5}$

= 198.

Each class will receive 198 pencils.

4 0

4 years ago

Read 2 more answers

Write ratio simplest terms 48/24

horsena [70]

Answer:1/2

Step-by-step explanation:

Dived by 12 and then by 2

3 0

3 years ago

What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

7 0

3 years ago

Given f(x) = 5x + 2 and g(x) = 5x - x5x. What is the value of (f g)(1)?

AlladinOne [14]

Answer:A

Step-by-step explanation:

8 0

2 years ago

Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99.His sister says each drink would cost just over $

nika2105 [10]

If we know that 6 things cost 2.99 and we want to know unit price we just have to divide 2.99 by 6.
So 2.99:6=0.49$ - its the result.
Now we can say that his sister is not correct, because price is different that 2$/unit.

4 0

4 years ago