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3 years ago

Subtract x^2 - 2x - 6 from -6x + 5

Mathematics

1 answer:

Gnom [1K]3 years ago

7 0

Answer:

x^2+4x-11

Step-by-step explanation:

x^2 - 2x - 6 - (-6x + 5)

x^2-2x-6 +6x - 5

x^2 +4x -11

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How do you do this and what is the correct answer? Simple and concise explanation please!

abruzzese [7]

Answer:

Step-by-step explanation:

This is a neat question. I suggest that you graph it on desmos. You will lean a bunch by doing it. These are the graphs you should put on there.
y = 1/(abs(x - a) - 1):In red
When you use your down arrow, a new entry will be given you. You can use your mouse to operate the slider you get when you type a = 5
so your next graph should be a = 5
Use your down arrow again. Put in x = 4: Blue Line
Use your down arrow again. Put in x = 6: Green Line

Be patient with this. Play with the sliders to see what they do. I believe you are correct, but I am not certain of the second union although it does look correct.

The graph I have enclosed is of what I have described in the steps above. Make sure you try it all out.

8 0

3 years ago

Consider the following data points.

Hoochie [10]

Answer:

the equation of the least-squares line for the data is: $\hat Y=9.3+1.3x$

Step-by-step explanation:

In a simple linear regression model, such as, $\hat Y=b_0+b_1x$ , the coefficients bo and b1 are estimated through the method of least squares by the use of the equations:

$b_1=\frac{S{xy}}{S_x^2}\\\\b_0=\bar{y}+b_1 \bar{x}$

For the data provided you have to:

$S_{xy}=\frac{\sum {(x_i-\bar x)(y_i-\bar y)}}{n-1}=3.25\\\\S_x^2=\frac{\sum {(x_i-\bar x)^2}}{n-1}=2.5\\\\\bar y=5.4$ , thus:

$b_1=\frac{3.25}{2,5}=1.3\\\\b_0=5.4+1.3(3.0)=9.3$

the equation of the least-squares line for the data is:

$Y=9.3+1.3x$

8 0

3 years ago

Read 2 more answers

An artist painted a scale model of one of her paintings using a scale in which 5 inches represents 50 feet the actual height of

matrenka [14]

Answer:

5400

Step-by-step explanation:

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2 years ago

Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how

nikdorinn [45]

Well she would need about 11.5 gallons of gas times 1.89 is $21.73 hope this helps

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3 years ago

Find the vertex, the axis of symmetry, and the y-intercept of the graph.

UNO [17]

Given:

Given that the graph of the parabola.

We need to determine the vertex, the axis of symmetry and the y - intercept of the graph.

Vertex:

The vertex of the parabola is the point at which the parabola changes its direction.

From the graph, it is obvious that the parabola changes its direction at the point (-2,0)

Hence, the vertex of the graph is (-2,0)

Axis of symmetry:

The axis of symmetry is the line that divides the parabola exactly into two equal halves.

Hence, from the graph, it is obvious the line x = -2 divides the graph exactly into two equal halves.

Hence, the axis of symmetry is x = -2.

y - intercept:

The y - intercept of the parabola is the value of y when x = 0.

In other words, the y - intercept of the graph is the value of y when the line passes through the y - axis.

Thus, from the graph it is obvious that when x = 0, the value of y is -3.

Hence, the y - intercept of the graph is -3.

6 0

3 years ago