I'm not just going to give you that answer, i'm going to teach you how to do it for yourself. this is a function. what you do first is look at what the question is asking you, it's asking you to solve the function, when the value of x are as follows: -2, 1, 2. start with the easiest number, 1, and plug it in for x in each equation.
5• (1)^2 + 0
10• (1)^2 + 0
then set each equation equal to zero
5 • (1)^2 + 0 = 0
10 • (1)^2 + 0 = 0
now solve each equation. make sure the value value you get for the first equation is a negative number, because the question demands that by giving you "x<1"
complete the same steps for each other value to get the answers. hope this helps.
Answer:
We conclude that the area of the right triangle is:
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1
Therefore, we conclude that the area of the right triangle is:
Hence, option A is correct.
Answer:
1.
A. H0 : μ1 = μ2 = μ3
Ha : μ1 ≠ 2μ ≠ μ3
2. Test Statistics = 95%
3. Critical F-Value = 3.76
4. P-Value = 2.32
5. Conclusion : Reject the null hypothesis
6. Type of vehicle does effect the amount of green house gas emissions.
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the critical value F-test for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 95% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
The surface area of the composite figure is 144 square cm after calculating separately.
<h3>What is a triangular prism?</h3>
When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a composite figure made up of a triangular prism and a cuboid
First we calculate the surface area of the triangular prism:
= 2(area of one triangle) + area of three rectangles
= 2[(1/2)6×4] + 3×5 + 3×5
= 24 + 15 + 15
= 54 square cm
Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6
= 2(12 + 24) + 18
= 72 + 18 = 90 square cm
Total surface area of figure = 54+ 90 = 144 square cm
Thus, the surface area of the composite figure is 144 square cm after calculating separately.
Learn more about triangular prisms here:
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Scale factor of area is the square of the scale factor of length
The required values are;
- The length of one sides of the garage was originally approximately <u>19.2 ft.</u>
- The length of one of the sides of the garage is now approximately <u>23.6 feet</u> long
- The percentage increase in length is approximately <u>22.5 %</u>
Reason:
The given parameters are;
The area of the square garage = 370 ft.²
The area of the new garage has 50% more space
Required;
Part A
The initial side length
The initial side length, given to the nearest tenth, <em>s</em>, is the square root of the area, <em>A</em>, given as follows;
- s = √(370 ft.²) ≈ 19.2 ft.
Part B
The side was increased by 50%, to give,
370 + 0.5×370 = 555
The new area of the garage = 555 ft.²
The side length of the new garage, s = √(555) ≈ 23.6
- The side of the garage now is 23.6 ft.
Part C
The percentage increase is given as follows;
- The percentage increase in length of the side of the garage is approximately 22.5 %
Learn more here:
brainly.com/question/7639412
