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Akimi4 [234]
3 years ago
7

Use the distributive property to simplify the following problem: 9 (x +9)

Mathematics
2 answers:
Alexus [3.1K]3 years ago
7 0

Answer:

9x+81

Explanation:

9(x+9)

<em>=9x+81</em>

posledela3 years ago
3 0

Answer:9x+81

Step-by-step explanation:

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What is the average rate of change over the interval (-1, 5)​
MArishka [77]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the function is not given. However, the following explanation will guide you.</em>

<em></em>

The average rate of change is calculated using;

A = \frac{f(b) - f(a)}{b - a}

Where

(a,b) = (-1,5)

Take for instance;

The function is:

f(x) = 2x

We have to solve for f(-1) and f(5);

i.e.

f(-1) = 2 * -1  -2

f(5) = 2 * 5 = 10

Substitute -1 for a and 5 for b

A = \frac{f(b) - f(a)}{b - a}

A = \frac{f(5) - f(-1)}{5 - (-1)}

A = \frac{f(5) - f(-1)}{5 +1)}

A = \frac{f(5) - f(-1)}{6}

Substitute values for f(5) and f(-1)

A = \frac{10 - (-2)}{6}

A = \frac{10 +2}{6}

A = \frac{12}{6}

A = 2

<em>Apply this steps in your work</em>

5 0
3 years ago
In parts ​(a) through ​(e)​ below, mark the given statement as True or False. Justify each answer. All vectors are in set of rea
Oxana [17]

Answer:

(c)

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

Step-by-step explanation:

(a) v  \bullet v = || v ||^2

That is completely correct Remember that if  v = (x_1,x_2,x_3)\\ then

v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

5 0
3 years ago
Rajesh invested $30,000 into an account that compounds interest monthly at a rate of 2.16%. He has made arrangements to withdraw
Bond [772]

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

The Principal Amount(P) = $30,000

Rate of Interest (r) = 2.16 %

Time(t) = 10 years

Number of Times it is Compounded in a year(n) = 12

Now, we have

A =P(1+\frac{r}{100n}) ^{nt}

Putting all the values, we evaluate the amount,

A =30,000(1+\frac{2.16}{100*12}) ^{12*10}\\\\A = 30,000 * 1.240\\A = 37,225.84

Hence, the Amount after Compound Interest = $37,225.87

Now, The loan amount that he pays = 300 *12*10 = $ 36,000

Yes, he will have enough money in the account to cover all of the required loan payments.

To read more about Compound Interest, visit brainly.com/question/29335425

#SPJ1

5 0
1 year ago
Ok so I need help thank you
Liula [17]

Answer:

2.56

Step-by-step explanation:

I'm pretty sure, I'm sorry if its wrong

5 0
3 years ago
I need help on this quick
Pachacha [2.7K]

Answer:

The hypotenuse to the nearest tenth is 8.1

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Let a be the x leg and b be the y leg

a = 7 units

b= 4 units

7^2 + 4^2 = c^2

49+ 16 = c^2

65 = c^2

Take the square root of each side

sqrt(65) = sqrt(c^2)

8.062257748 =c

To the nearest tenth

8.1 =c

7 0
3 years ago
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