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3 years ago

What are the roots of the polynomial equation? x^2 + x -72 =0

1 answer:

3 0

There are many ways you can go. I'm going to start out factoring the whole thing.
(x+9)(x-8) = 0
seperate these into two different equations.
x+9 = 0 and x-8 = 0
x= -9 x=8
Make sure you check it by substituting. Sometimes you might have to reject an answer. In this case you don't. Therefore, 8 and -9 are your roots!

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Find a.b. a=3i+2j-k, b=4i+5k

Tomtit [17]

Answer: $a\cdot b= 7$

Step-by-step explanation:

We are given

$a=3\hat{i}+2\hat{j}-\hat{k}$

$b=4\hat{i}+5\hat{k}$

They can be written as

$a=3\hat{i}+2\hat{j}+(-1)\hat{k}$

$b=4\hat{i}+0.\hat{j}+5\hat{k}$

Now , the dot product of and b is given by :-

$\Rightarrow\ a\cdot b= (3\hat{i}+2\hat{j}+(-1)\hat{k})\cdot(4\hat{i}+0.\hat{j}+5\hat{k})$

$\Rightarrow\ a\cdot b=3\cdot 4 \cdot\hat{i}\cdot\hat{i}+2\cdot0\cdot\hat{j} \cdot\hat{j}+ (-1)\cdot 5 \cdot \hat{k}\cdot \hat{k}$

$\Rightarrow\ a\cdot b=12 \cdot\hat{i}^2+0-5 \cdot \hat{k}^2$

$\Rightarrow\ a\cdot b=12 \cdot(1)+0-5 \cdot (1)$ [Since $\hat{i}^2=\hat{k}^2=1$ ]

$\Rightarrow\ a\cdot b=12 -5=7$

Therefore , the value of the dot product $a\cdot b= 7$

5 0

3 years ago

What is 5378427 divide by 67

IceJOKER [234]

Answer:Using a calculator, if you typed in 67 divided by 8, you'd get 8.375. You could also express 67/8 as a mixed fraction: 8 3/8. If you look at the mixed fraction 8 3/8, you'll see that the numerator is the same as the remainder (3), the denominator is our original divisor (8), and the whole number is our final answer (8) ...

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the result of adding these two equations?

arsen [322]

Answer:

-2x-7y=-4

Step-by-step explanation:

5x+-7x=-2x

-9y+2y=-7y

1+-5=-4

So -2x-7y=-4

6 0

2 years ago

Find 9.5% of $104,884. ( Include dollars and cents in your answer .)

Maru [420]

9.5% of $104,884 would be $9,963.98 .

6 0

3 years ago

Read 2 more answers

I don't get this pls help

dmitriy555 [2]

Answer:

d, e

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

In this case, it means the product is ...

(6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

Only the last two choices, d and e, apply.

3 0

3 years ago