MATHEMATICS HIGH SCHOOL

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.

Answers

Answer 1

Answer:

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12

The absolute value inequality is

$|x-20|\leq 0.12$

Given :

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer

We need to write the given inequality in absolute value inequality

if $a-b<x<a+b$ then absolute value inequality is

$|x-a|< b$

To find out value of 'a' and 'b' we need to use the given inequality

compare a-b<x<a+b with given inequality

$a-b=19.88\na+b=20.12$

Solve for 'a' and 'b'

Add both equations

$2a=40\na=20$

Now find out b

$a+b=20.12\n20+b=20.12\nb=20.12-20\nb=0.12$

The required absolute value inequality is

$|x-a|\leq b\n|x-20|\leq 0.12$

Learn more : brainly.com/question/1770168

Answer 2

Answer:

The correct answer is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12

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What times what equals 31

Answers

Can it be a decimal? Only one I can think of is 1 X 31

Because 31 is a prime number, 31 only has 2 factors, which are 1 and itself.

Therefore, 1* 31= 31~

What is the slope of the line which passes through (−2, 0) and (0, 4)? (5 points) 2 Undefined −2 0

Answers

Answer:

Step-by-step explanation:

The formula you use to find the slope is

$(y_(2)-y_(1))/(x_(2)-x_(1))$

First, you want to substitute

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

Which simplifies to

$(4-0)/(0+2)$

Because two negatives equal a positive

The next step is to add and subtract

$(4)/(2)$

Which simplifies to

$(2)/(1)$

Which equals

Hope this helped, if you have any questions, feel free to ask.

Have a good day! :)

Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Gradient formula :

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

$let \: (x1 \: , \: y1) \: be \: ( - 2 \: , \: 0)$

$let \: (x2 \: , \: y2) \: be \: (0 \: , \: 4)$

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

$m = (4)/(2)$

$m = 2$

Dexter makes a scale drawing of his room. In real life, the room is 10 feet wide and 12 feet and 6 inches long. In Dexter's drawing, the room is 4 inches wide. What measure should the length be?

Answers

The length of modeled drawing room is 5 inches.

Given that, the room is 10 feet wide and 12 feet and 6 inches long.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, scale factor = 4 inches

We know that, 1 feet = 12 inches

Now, scale factor = 4/(10×12)

= 4/120

= 1/30

Length = 1/30 ×(12 feet and 6 inches)

= 1/30 × (144+6)

= 1/30 × 150

= 5 inches

Therefore, the length of modeled drawing room is 5 inches.

To learn more about the scale factor visit:

brainly.com/question/22312172.

#SPJ2

The length should be 31 feet and 3 inches

Explanation:
You use a proportion to find the length

Table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. input 1 2 3 4 n
output 10 13 16 19

Answers

Answer:

y = 3n + 7

Step-by-step explanation:

We can calculate a slope for the line defined by these points. (We are told it is linear, so we can use y = mx + b format, where m is the slope and b the y-intercept.)

Slope: I'll pick points (1,10) and (4,19) for calculating the slope:

Rise = (19-10) = 9

Run = (4-1) = 3

Rise/Run, or slope, m = (9/3, or 3

The equation becomes y = 3x + b

We can calculate b by using one of the given points. I'll pick (1,10):

y = 3x + b

10 = 3*(1) + b

b = 7

The equation is y = 3x + 7 It works for the other points (try it).

We can use n for x:

y = 3n + 7

Pick any n, and you'll have the correct outcome.

Answer:

y = 3n + 7

Step-by-step explanation

n | y

---------

1 | 10

2 | 13

3 | 16

4 | 19

slope - (1, 10) ; (2, 13)

m = y1 - y2

-------------

n1 - n2

m = 10 - 13

-----------

1 - 2

m = 3

Slope Intercept Form Equation -

y - y1 = m(n - x1)

y - 10 = 3(n - 1)

y - 10 = 3n - 3

y = 3n - 7

11 pounds = _____ fluid ounces

Answers

the answer is 176 because there are 16 fl oz in a pound and since pounds are greater than fl oz You multiply 11×16 to get you product

What are the solutions of 4(x+6)^2=52 select two answers A) √13 - 6
B) -19
C) -√13-6
D)-2√13-6
E)2√13-6

Answers

Answer:

A and C

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x2+48x+144=52

Step 2: Subtract 52 from both sides.

4x2+48x+144−52=52−52

4x2+48x+92=0

For this equation: a=4, b=48, c=92

4x2+48x+92=0

Step 3: Use quadratic formula with a=4, b=48, c=92.

x=−48±√832/8

x=−6+√13 or x=−6−√13

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