Write a function in terms of t that represents the situation.A population of 210,000 increases by 12.5% each year

y=

Answer:

y=20x+25, this equation is linear, the rate of change is constant

Step-by-step explanation:

She starts with 25$, that doesn't change so its our constant.  Let x represent each week.  Each week she ears 20$

So, let y represent the total amount of money she has

y=20x+25, this equation is linear, the rate of change is constant

Answer:

the answer is 8a

Step-by-step explanation:

becuase the numbers are simply being added, you can just add 3+5.

for example, say a=3

3(a)+5(a)=3(3)+5(3)

9+15=24

but 3+5(a)=8(a)

8(3)=24

Answer:

8a2

Step-by-step explanation:

i don't know specifically what you are looking for but:

Direction: Opens Up

Vertex: (1, -1)

Axis of Symmetry: x = 1

and i attached the graph

Answer:  x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Step-by-step explanation:

Solve for x:

F x = 2 x^2 - 4 x + 1

Subtract 2 x^2 - 4 x + 1 from both sides:

-2 x^2 + F x + 4 x - 1 = 0

Collect in terms of x:

-1 + x (F + 4) - 2 x^2 = 0

Divide both sides by -2:

1/2 + 1/2 x (-F - 4) + x^2 = 0

Subtract 1/2 from both sides:

1/2 x (-F - 4) + x^2 = -1/2

Add 1/16 (-F - 4)^2 to both sides:

1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2

Write the left hand side as a square:

(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2

Take the square root of both sides:

1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Answer:

12

Step-by-step explanation:

The point-slope equation of a line is ...

y = m(x -h) +k

for a line with slope m through point (h, k).

The line with slope -1 through point (4, 3) has the equation ...

y = (-1)(x -4) +3

y = -x +7

Then the value of y for x=-5 is ...

y = -(-5) +7 = 12

The value of r is 12.

Final answer:

The value of r is 4 for a line passing through the points (4,3) and (-5, r) with a slope of -1.

Explanation:

The question asks for the value of r in a line that passes through the points (4,3) and (-5, r) with a slope of -1. In mathematics, the slope between any two points (x1, y1) and (x2, y2) is given by the formula (y2-y1)/(x2-x1). Applying this formula, we get the equation (r - 3) / (-5 - 4) = -1. Simplifying, we have r - 3 = 1, so r = 4. Therefore, the value of r should be 4 if the slope of the line that passes through the points (4,3) and (-5, r) is -1.

Learn more about Slope here:

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Answer:

Step-by-step explanation: the step by step explanation is 6*4=24 so 24 apples then 3*2=6 so 6 mangoes then if 8 apples are ate then 4 mangoes are ate then (24+6)-(8+4)=30-12 so the answer is 18.

Based on the use of Benford's law, only B and E can be included in the solution set out of all the given values.

What is seen as Benford's Law?

Benford's Law, also known as the first-digit law, posits that the initial digits in a set of data are more likely to be smaller.

One must ascertain whether the provided values adhere to the criteria set by Benford's Law. Values like 0.5, 2.5, and 3.5 are excluded from the solution set as they do not satisfy the requirement for a whole number as the first digit.

Considering  B and E, a closer examination of the graph is necessary. From the visual representation,  Consequently, only the values B and Eare eligible to be part of the solution set.

Learn more about Benford's law here

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See full text below

Which values are included in the solution set? Select all that apply.

A set of numbers satisfies Benford’s Law if the probability of a number starting with digit d is P(d) = log(d + 1) – log(d).

On a coordinate plane, a dotted line is at y = 0.08. Everything above the line is shaded and is labeled y greater-than 0.08. A dotted line curve goes through (0.5, 0.7) and (4, 0.1). Everything below the line is shaded and is labeled y greater-than log (x + 1) minus log x.

The probability of a particular digit is more than 8%. The graph represents the situation.

Which values are included in the solution set? Check all that apply.

0.5

1

2.5

3.5

4

5

Answer:

Option B. 1 and Option E. 4

Step-by-step explanation: