If x-7 =0
Then x =7
Substitute x=7 into f(x):
2(7)^2 - 11(7) + k
= (98-77)+k
= 21+k
Therefore k=-21 because 21+(-21)=0
Answer:
Speed of baseball =
Step-by-step explanation:
Speed of a object is the total distance traveled per unit total time taken to cover that distance.
Given:
Distance= 49 meter Time =2.4 seconds
Speed = 
= 
Speed of the baseball =
The speed of baseball is
The volume of a triangular pyramid<span> can be found using the </span>formula<span> V = 1/3AH where A = area of the triangle base, and H = height of the </span>pyramid<span> or the distance from the </span>pyramid's<span> base to the apex.</span>
Answer:
0.4
Step-by-step explanation:
Given:-
- The uniform distribution parameters are as follows:
a = $10,000 b = $15,000
Find:-
Suppose you bid $12,000. What is the probability that your bid will be accepted?
Solution:-
- We will denote a random variable X that defines the bid placed being accepted. The variable X follows a uniform distribution with parameters [a,b].
X ~ U(10,000 , 15,000)
- The probability of $12,000 bid being accepted can be determined by the cdf function of the uniform distribution, while the pmf is as follows:
Pmf = 1 / ( b - a )
Pmf = 1 / ( 15,000 - 10,000 )
Pmf = 1 / ( 5,000 )
Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
