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3 years ago

Simplify each expression by distributing and combined bf like terms (SHOW WORK) please

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

Answer:

c-39

1. rearrange terms

2.distribute

3.distribute

4. subtract the numbers

5. combine like terms

6.multiply by 1

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Complete the equation: x2 + 10x +__= (__)^2

Sliva [168]

Answer:

x2 + 10x +25 = (x+5)^2

Step-by-step explanation:

x^2 + 10x

To complete the square

Take the coefficient of x

Divide by 2

10/2 =5

Square it

5^2 =25

Add it

x2 + 10x +25

The coefficient of x divided by 2 is the factor we add to x inside the square

(x+5)^2

6 0

3 years ago

Read 2 more answers

What is 10 3/17 as a improper fraction

jeyben [28]

Answer:

To convert mixed number 10 3/17 to improper fraction, you follow these steps:

First, note that 10 3/17 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

10 = whole number

3 = numerator

17 = denominator

Multiply the whole number by the denominator

10 × 17 = 170

Add the product from Step 1 to the numerator

170 + 3 = 173

Write answer from Step 2 over the denominator

173/17

The mixed number 10 3/17 converted to improper fraction is therefore :

173/17

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Explain why sin^-1(sin(3pi/4))does not equal 3pi/4 when y=sin x and y=sin^-1 x are inverses.

Fofino [41]

Because they're not inverses, not exactly. $\sin x$ is not invertible on its entire domain because it's not one-to-one. There are infinitely many values of $x$ such that $\sin x=0$ , for example.

The standard function $\sin^{-1}x$ has a domain of $-1\le x\le1$ and outputs values between $-\dfrac\pi2$ and $\dfrac\pi2$ . This means that its inverse, $\sin x$ , is indeed its inverse as long as $-\dfrac\pi2\le x\le\dfrac\pi2$ .

$\dfrac{3\pi}4$ is larger than $\dfrac\pi2$ and thus does not fall in the "invertible part" of the domain of $\sin x$ . We have

$\sin\dfrac{3\pi}4=\dfrac1{\sqrt2}$

which is a value between -1 and 1, so that

$\sin^{-1}\left(\sin\dfrac{3\pi}4\right)=\sin^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4$

If we wanted to recover $\dfrac{3\pi}4$ , we'd have to redefine $\sin^{-1}x$ or define a new inverse function that works on a different branch of the domain of $\sin x$ .

7 0

3 years ago

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the

hjlf

Answer:

P odd number, then 20) = 1 /14

Step-by-step explanation:

P( odd number) = number of odd numbers/ total

number of odd numbers = 3

total = 7

P( odd number) = 3/7

We keep the tile so that there are only 6 tiles left

P (20) = number of 20/ total

= 1/6

We multiply the probabilities together

P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14

4 0

3 years ago

Josh pulled cards from a deck 200 times. He pulled a red card 120 times and a black card 80 times. What is the experimental prob

Ber [7]

The answer is 2/3 because you would put 80 over 120 and simplify

8 0

2 years ago