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3 years ago

Write an algebraic expression for a number squared divided by 2 and added to 16

Mathematics

1 answer:

Simora [160]3 years ago

7 0

$\frac{x^2}{2} + 16$ is the algebraic expression for a number squared divided by 2 and added to 16

Solution:

Given that the statement is: A number squared divided by 2 and added to 16

We have to write the algebraic expression

Let us understand the given statement

Let the number be "x"

"Number squared " means x is squared $\rightarrow x^2$

So, x squared divided by 2 and added to 16

Which is translated into algebraic expression as:

$\frac{x^2}{2} + 16$

Thus the algebraic expression is found

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Due Today, Please help me.

Vsevolod [243]

Answer:

Yes, SAS.

Step-by-step explanation:

For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.

Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.

6 0

3 years ago

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: $a_n=a_1+(n-1)d$

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

$a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3$

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: $a_n=a_{n-1}+d$

We have found common difference d = -3

So, the recursive formula will be:

$a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3$

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

6 0

3 years ago

Determine the slope of the line that contains the points A(0, 2) and B(7,3). *

IgorC [24]

<h3>Given points:-</h3>

A (0,2)
B (7,3)

We know that

${\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}$

$\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}$

$\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}$

5 0

3 years ago

How do you prove if quantities vary directly?

Cerrena [4.2K]

Answer:

Step-by-step explanation:

If quantities vary directly, then one is simply the other multiplied by a fixed number. All sets of two numbers in a direct variation are one number multiplied by a fixed number to get the second number.

Example:

1 gallon of gasoline costs $3.50

2 gallons of gasoline cost $7.00

3 gallons of gasoline cost $10.50

Is the price of gasoline a direct variation based on the number of gallons?

3.5/1 = 3.5

7/2 = 3.5

10.5/3 = 3.5

When you multiply 1 gal, 2 gal, and 3 gal by the constant number 3.5 $/gal, you get the price. Since the multiplication is always by the same number, it is a direct variation.

8 0

3 years ago

1. Based on data collected over several sessions, a statistically minded trainer of office typists modeled the linzoom in

ipn [44]

Answer:

Statement D is correct.

Step-by-step explanation:

Solution:

Data Given:

Linear Regression Relationship = Speed = 10.3 + 5.4 (hour)

Linear Regression Relationship = y = mx + c

Here,

m = slope = 5.4

c = 10.3 = y - intercept

The correct Answer is D)

Because:

As, the residual value is positive, it means the typist attained faster speed than the model predicted. As we know, residuals is the result of difference between predicted values of the model and data values. On the contrary, if residual would be negative then we would say that typist speed is slower than the model predicted.

Hence, Statement D is correct.

6 0

3 years ago