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2 years ago

1. Solve 16+14÷2+3⋅5−11

Mathematics

1 answer:

tiny-mole [99]2 years ago

6 0

Answer:

1. 27

2.6

Step-by-step explanation:

remember the priorities of operations :

1. brackets

2. exponents

3. multiplications and divisions

4. (and truly last) additions and subtractions

so,

16 + 14÷2 + 3×5 - 11 =

16 + 7 + 15 - 11 = 23 + 4 = 27

5 coins are tossed at the same time.

each coin has a result (head or tail).

but the observed event is the sum of all tails that show when tossing the 5 coins.

so, the possible outcomes are

0 tails

1 ...

2 ...

3 ...

4 ...

5 tails

so, in total, 6 different possible outcomes.

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Factor 2x^4 + 3x^3 +14x^2 +24x – 16

Annette [7]

Answer:

( x ^2 + 8 ) ( 2 x − 1 ) ( x + 2 )

Step-by-step explanation:

a ^2 − b ^2 = ( a + b ) ( a − b )

where

a = x and b = 1

( x ^2 + 8 ) ( 2 x − 1 ) ( x + 2 )

Glad I was able to help!!

3 0

3 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

7 0

3 years ago

Which of the following represents the most accurate estimation of 4+8

UkoKoshka [18]

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estimating sums of single digit numbers which of the following represents the most accurate estimation of 4+8? answer 5,10,20, and 25</span>

3 0

3 years ago

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Need help with this geometry

Rasek [7]

Answer:

y = 2

Step-by-step explanation:

The mid segment HJ is half of the third side GK , that is

HJ = $\frac{1}{2}$ GK , substitute values

2y = $\frac{1}{2}$ (y + 6) ← multiply both sides by 2 to clear the fraction

4y = y + 6 ( subtract y from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

3 0

2 years ago

A 12-foot ladder is placed four feet from the base of a wall.

nikitadnepr [17]

Answer:8sqrt 2 or sqrt 128

Step-by-step explanation:

We can use the Pythagorean Theorem. Since the ladder is leaning against the wall, it is the hypotenuse. It is also 4 feet away from the wall so 12^2-4^2=b^2 b^2=128 so b=8sqrt 2 or sqrt 128.

4 0

2 years ago