Answer:
y = 2 * 9 ^ x
Step-by-step explanation:
From the first point, you can get the value of a, since any number with power 0 with always equal to 1
Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.
- 1458 = 2b ^ 3
- 729 = b ^ 3
- B = 9
Answer:
5 + x + 5 + x + x
Step-by-step explanation:
We are given 4 expressions and we have to determine which expressions shows a sum of five terms.
We use the process of elimination:
5(x + 5)
=5x+25 (distributing 5)
This contains sum of only two terms, <u>eliminate</u>.
5x
It contains only 1 term, <u>eliminate</u>.
5 + x + 5 + x + x
It contains 5 terms 5,x,5,x and x, <u>KEEP</u>!
5.
Only contains 1 term, <u>eliminate</u>.
With this said, were left with:
5 + x + 5 + x + x
Which is the correct answer! :)
Discriminant: b² - 4ac
Discriminant: (-6)² - 4(1)(9)
Discriminant: 36 - 36
Discriminant: 0
The equation has one real root.
Answer:
W = 45000 - 780h
Step-by-step explanation:
There were 45000 gallons of water in the swimming pool initially.
Given that at a constant rate i.e. 780 gallons of water per hour is being drained out of the swimming pool.
When the pool has no more than 15,000 gallons of water remaining a chemical additive must be added with water.
Therefore, the equation that gives the remaining water after h hours in the pool is
W = 45000 - 780h (Answer)
The measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is <u>similar</u> to triangle EDC
<h3>Similar triangles </h3>
From the question, we are to determine the measure of angle CED
In the diagram, we can observe that ΔABC is <u>similar</u> to ΔEDC
This is by the Angle-Angle similarity theorem
The theorem states that
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other
Thus,
Angle CAB = Angle CED
In the diagram,
Angle CAB = y
∴ Angle CED = y
Hence, the measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is <u>similar</u> to triangle EDC
Learn more on Similar triangles here: brainly.com/question/24085502
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