The equations we work with are f(x)=4x-3 and g(x)=x³-x²-4x+4. The intersections of these functions occur at f(x)=g(x). Using graphing technology, the figures are displayed in the attached image; the solutions to the equations are approximate values: x=-2.781, which rounds to -2.8, x=0.862 rounds to about 0.9, and x=2.919 rounds to 2.9.
Answer:
Step-by-step explanation:
Given:
In ΔLMN and ΔXYZ, 
To find: criteria that needs to be shown to prove ΔLMN 
ΔXYZ using SAS similarity theorem
Solution:
According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.
In ΔLMN and ΔXYZ,
So, ΔLMN ΔXYZ by SAS similarity theorem if
Answer:
Explanation:
Hello!
You possess a sample involving 200 participants, who were surveyed regarding their main source of news, categorized into (1) Television, (2) Radio, (3) Internet, and (4) Other.
Your goal is to evaluate whether the proportions in this sample align with the established frequencies of 10%, 30%, 50%, and 10% respectively.
The suitable statistical method to assess if the sample matches the known or historical distribution is the Chi-Square goodness of fit test. In this test, the null hypothesis represents the model or distribution under examination. In this scenario, you need to articulate the proportions for each category:
H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10
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Both A and B.
This is due to the fact that X=3 cleanly divides the rectangle into two equal halves, causing any reflection to resemble the original shape.
Additionally, any shape with two lines of symmetry, when rotated 180 degrees, will align with one of the axes of symmetry and appear the same as the original shape.
The formula for determining the number of ways to select two pairs of sneakers from three pairs labeled A, B, and C is represented by 3C2 (3 combinations of 2), which calculates as 3! / (2!(3 - 2)!) = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3. Therefore, the sample space is S = {AB, AC, BC}.
