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Radda [10]
3 years ago
5

True/False: A graph of a trapezoid can have two pairs of adjacent sides that are congruent.

Mathematics
1 answer:
ipn [44]3 years ago
6 0
Im thinking  its  gonna be true but im not exactly sure
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If a and b are positive numbers, find the maximum value of f(x) = xa(7 â x)b on the interval 0 ⤠x ⤠7.
algol [13]
Given f(x)=x^a(7-x)^b on the interval 0 ≤ x ≤ 7, for maximum value, f'(x) = 0.

f'(x)=0 \\  \\ \Rightarrow -bx^{a}(7-x)^{b-1}+ax^{a-1}(7-x)^b=0 \\  \\ \Rightarrow ax^{a-1}(7-x)^b=bx^{a}(7-x)^{b-1} \\  \\ \Rightarrow a(7-x)=bx \\  \\ \Rightarrow (a+b)x=7a \\  \\ \Rightarrow x= \frac{7a}{a+b}
8 0
3 years ago
Simplify x + x + y x y
DedPeter [7]
2x + 2y your welcome!
6 0
3 years ago
Read 2 more answers
Triangle ABC is graphed on a coordinate grid with vertices at A (-2, -4), B (2, -4) and C (0, 2). Triangle ABC is dilated by a s
Papessa [141]

Answer:

The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

Step-by-step explanation:

Given the vertices of a triangle

  • A(-2, -4)
  • B(2, -4)
  • C(0, 2)

After the dilation, the vertices of an image triangle be

  • A' (-1, -2)
  • B '(1, -2)
  • C' (0, 1)

If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.

i.e. (x, y) → (1/2x, 1/2y)

verification

A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)

B(2, -4) → B'(2/2, -4/2) = B'(1, -2)

C(0, 2) → C'(0/2, 2/2) = C'(0, 1)

Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

  • (x, y) → (1/2x, 1/2y)
6 0
2 years ago
for a survey,a company decided to call 7 out of every 5,000 people.how many people should be called in a town of 78,000 people
jenyasd209 [6]
109 would get called

4 0
3 years ago
Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!
Alborosie
The graph you chose has a y intercept of 5. In other words, the point (0,5) is on that graph. However, if we plugged x = 0 into the function f(x), we get

f(x) = 3*5^x
f(0) = 3*5^0
f(0) = 3*1
f(0) = 3

So the point (0,3) is actually on the graph. The graph is increasing. So the answer is the upper left corner (instead of the upper right corner)
5 0
2 years ago
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