Ask question

Ask question

All categories

3 years ago

7

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his

math or justification. x + 6 = –10

1 answer:

snow_tiger [21]3 years ago

3 0

The - number has to t o be more then 6 in order to get -10. Answer= -16

You might be interested in

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

What is the equation in point-Slope form of the line passing through<br> (-2,-5) and (2,3)?

ExtremeBDS [4]

Answer:

(y - 3) = 2(x - 2)

Step-by-step explanation:

Slope = (3 + 5) / (2 + 2)

Slope = 2

Choose a point: (2, 3)

(y - 3) = 2(x - 2)

5 0

3 years ago

Read 2 more answers

Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. She knows that 2,

kherson [118]

Answer:

The correct option is (C) convenience sample.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling, i.e. all items does not have an equivalent chance or probability of being selected. This type of sampling method does not comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach or collect.

For example, sampling the the students of your own class or collecting sample from your own neighborhood.

In this case the Chief Financial Officer of Harrison Haulers, Inc. asks her staff to inspect the last 200 vouchers of the 2500 payroll vouchers that have been issued since January 1, 2000.

She did so because her staff did not have that much time in hand and it is quite convenient to check the last 200 vouchers.

This is because it is quite easy to review the last 200 payroll vouchers since they would be the most recent ones and quite easily accessible.

So, the sampling method used by the Chief Financial Officer of Harrison Haulers, Inc. is Convenience sampling.

Thus, the correct option is (C).

5 0

3 years ago

Pls help I’m failing

jeka94

The equation <u>6 + 9a = 51</u> can help find out how many adults were in the group.

4 0

3 years ago

nikdorinn [45]

Answer:

C. 28 = (2x - 1)(x)

Step-by-step explanation:

There is a rectangular swimming pool.

Width of swimming pool is x

Length is one less than twice the width

Area of the swimming pool is 28 sq ft.

To Find : Equation could be used to model the area of the swimming pool.

Solution:

Since we are given that Length is one less than twice the width.

And width is x (given)

So, length = 2x-1

Area of the swimming pool is 28 sq ft.

Now ,

Formula of area of rectangle : Length*Width

⇒28= (2x-1)(x)

So, equation used to model the area of the swimming pool: 28= (2x-1)(x)

Hence Option c is correct.

3 0

3 years ago

Read 2 more answers