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Elena-2011 [213]
2 years ago
13

Please need help it’s due today.

Mathematics
1 answer:
Mariana [72]2 years ago
7 0

9514 1404 393

Answer:

  • A, E, slope of 6
  • B, F, slope of 1/4
  • C, D, slope of 2/5

Step-by-step explanation:

Each triangle represents a triangle that could be used to compute the slope of a line. That slope is the ratio of the vertical measure to the horizontal measure. For each of the triangles shown, the associated slopes are ...

  A: 54/9 = 6

  B: 15/60 = 1/4

  C: 18/45 = 2/5

  D: 16/40 = 2/5

  E: 72/12 = 6

  F: 13/52 = 1/4

Then the boxes on each horizontal line can be filled with ...

  A: (E, 6)

  B: (F, 1/4)

  C: (D, 2/5)

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What is the least common multiple of 26 and 39?
GuDViN [60]

Answer:

78

Step-by-step explanation:

Find the prime factorizations of the two numbers:

26 = 2 * 13

39 = 3 * 13

The LCM is the product of common and not common factors with the higher exponent.

LCM = 2 * 3 * 13 = 78

Answer: 78

5 0
3 years ago
Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could
kirill [66]

36 x 2 = 72

72-36 = 36 - 5 = 31

31 rocks to start with

4 0
3 years ago
Read 2 more answers
Hank the savings account in June of 2002 on June 2006 and $3,800 on June 2014 he had $8,600 if hanks saving is modeled by linear
beks73 [17]
12400 is the answer. Have a good day
5 0
3 years ago
If f(x) = 2x + 3, what is f(–1)?
Helen [10]

Answer:

Normally, sequences don't go behind 1, but let's see for this one.

f(-1) = 1

Step-by-step explanation:

Let's sub for -1 in x.

f(-1) = 2(-1) + 3.

f(-1) = -2 + 3

f(-1) = 1

:)

7 0
3 years ago
Read 2 more answers
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