All categories

3 years ago

What is true about the graphs of y = x^2 – 2 and y = x^2 + 2?

Mathematics

1 answer:

ASHA 777 [7]3 years ago

6 0

Answer:

Graphs behave differently at various x-inter cepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Suppose, for example, we graph the function. f(x) = (x+3)(x - 2)²(x+1)³.

Notice in the figure below that the behavior of the function at each of the x-intercepts is different.

You might be interested in

Look at the figures. How can you prove these triangles are congruent?

Novosadov [1.4K]

Answer:

A. $\Delta ABC\cong \Delta DEF$ by the SAS postulate.

Step-by-step explanation:

We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.

We can see that side DF of triangle DEF is equal to side AC of triangle ABC.

We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.

The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.

Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.

5 0

3 years ago

What is the solution to the system of equations shown below?

goblinko [34]

Answer:

b. (2, 5, 3)

Step-by-step explanation:

Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.

Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...

7z = 21

z = 3 . . . . . divide by 7

This answer is consistent with choice B, confirming that answer and eliminating the other choices.

5 0

3 years ago

Read 2 more answers

Insert a digit to make numbers that are divisible by 24 if it is possible: 83...8

AfilCa [17]

Answer:

Step-by-step explanation:

8328÷24=347

hope this is helpful

3 0

3 years ago

What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\$

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270$