Choose the best definition for the following term: substitution

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

A process where one person can be put in the place of another, if they both are equally skilled.

You might be interested in

How many terms are included in the expression below?

shutvik [7]

Answer:

3 terms

Step-by-step explanation:

In this problem, we are given an expression of a quadratic function of a single variable x as x² - 3x + 7.

Now, we have to find the number of terms included in the above-given expression.

The expression includes two x terms and one constant term.

Therefore, the whole expression has total ( 2 + 1 ) = 3 terms. (Answer)

3 0

3 years ago

Read 2 more answers

Given: m∠B = 46°; m∠C = 45°; m∠R = 46°; m∠T = 89° Prove: △ABC ~ △TRS Triangles A B C and T R S are shown. Angles A B C and T R S

Ahat [919]

Answer:

The Sum of the measures of the interior angles of a triangle is 180°

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .

Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:

$A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)$

So, the graph of the dilated triangle is shown in the Figure below

8 0

3 years ago

Read 2 more answers

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$