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3 years ago

How do you know if something is linear

Mathematics

2 answers:

alukav5142 [94]3 years ago

3 0

when an equation between two variables that gives a straight line when plotted on a graph

Hatshy [7]3 years ago

3 0

If the equation has an x^2 or x^3 or anything other than just numbers and x's, then it is NOT linear. a linear equation is of the form:

y=mx+b

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3) Round answer to the nearest hundredth. *

DochEvi [55]

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, $a^{2}$ + $b^{2}$ = $c^{2}$ , where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

= √(82)^2 - √(18)^2

= √6724 - √324

= √6400

= 80 mm

5 0

2 years ago

Find the distance between the two points shown. <br> A) 5 <br> B) 7 <br> C) 21 <br> D) 27

kotegsom [21]

Answer:

It is B, 7 points.

Step-by-step explanation:

You can start from the point (8,2) and then you go up 7 points to reach the point (8,9) which is 7 points.

4 0

3 years ago

Read 2 more answers

The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a

Juliette [100K]

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

48 students listed 4 books with a percentage of 16%

$\begin{gathered} 48\text{ = 16\% of m} \\ 48\text{ = }\frac{16}{100}\text{ }\times\text{ m} \\ 48\text{ = }\frac{16m}{100} \\ \text{Cross multiply} \\ 16m\text{ = 48 }\times\text{ 100} \\ 16m\text{ = 4800} \\ \text{m = }\frac{4800}{16} \\ \text{m = 300} \end{gathered}$

Hence, there are 300 students.

$\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }\frac{24}{100}\text{ }\times\text{ 300} \\ =\text{ }\frac{7200}{100} \\ =\text{ 72 students} \end{gathered}$

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0

1 year ago

X+5.5+8=5x-13.5-4x what does x equal

wariber [46]

Answer:

There are no values of x that makes the equation true. or in other words ( no solution)

8 0

2 years ago

Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pa

blagie [28]

a = amount invested at 5%

b = amount invested at 2%

now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.

$a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}$

now, we know the total of earned interest is 550 bucks, so then

$0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}$

5 0

1 year ago