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mrs_skeptik [129]
1 year ago
7

This one is super hard

Mathematics
1 answer:
kipiarov [429]1 year ago
5 0

We use the first point given (0, 14) to solve <em>a </em>in terms of <em>b</em>. We have

\begin{gathered} 14=ab^0 \\ 14=a \end{gathered}

We use the second point given (3,3024) to solve for the value of <em>b</em>,

3024=ab^3

Substitute the value of <em>a</em> solved by the equation above on the equation above and solve

\begin{gathered} 3024=14b^3 \\ b=\sqrt[3]{216} \\ b=6 \end{gathered}

Hence, the exponential function is written as

f(x)=14(6)^x

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3 years ago
Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
Sandy has $5000 invested in three accounts. One account bears 2% annual interest, another 3%, and the other 5%, and she earned $
Harlamova29_29 [7]

hello there

This is a tricky question but i think i have solved it

Account 1: $100

Account 2: $150

Account 3: $250

If my answer helped please mark me as brainliest thank you and have a great day!


4 0
3 years ago
Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?
kozerog [31]

Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

4 0
2 years ago
Read 2 more answers
If ABC is reflecting across the y-axis ,what are the coordinates of c’?
Brums [2.3K]
<h3>Answer:   (-6, 3)</h3>

Explanation:

First step is to locate point C. It is at location (6, 3)

Reflecting this over the y axis will change the sign of the x coordinate, while keeping the y coordinate the same. We go from (6, 3) to (-6, 3)

The algebraic rule for this is (x, y) \to (-x,y)

Therefore, point C' is located at (-6, 3)

7 0
3 years ago
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