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alekssr [168]
3 years ago
6

The quotient of twenty-nine and a number h​

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

29 / n

Step-by-step explanation:

i don't know what you are asking here but if you wanted the equation in number form then that's your answer

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Which of the following shows the correct work and solution to the exponential equation 5x - 1=25
olga_2 [115]

We have the expression:

5^{x-1}=25

And we need to solve this for x.

Let's solve this expression and then see which of the options is the correct one.

The first step to solve this is that we need for the two sides of the equation to have the same base. (the number 5 on the left side is the base, so we need to also have a 5 as the base on the right side).

We do this by noting that:

25=5^2

We know that 25 is equal to 5 squared (because 5x5 is 25)

So the first step is to substitute 25 for 5 squared:

5^{x-1}=5^2

Since we have the same base on both sides (5), we follow the rule:

• If we have the same base on both sides of an equation, the exponents have to be equal

Thus, the second step to solve is to equal the exponents:

x-1=2

Finally, to solve this equation for x, we just need to add 1 to both sides to get rid of the -1 on the left side:

\begin{gathered} x-1+1=x=2+1 \\  \end{gathered}

And the third step is:

x=3

As we can see, these three steps are represented in the third option In which we get the same result of x=3.

Answer: x=3

8 0
1 year ago
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
If I multiply any number by 1 whole, my product will be:
marusya05 [52]

Let a = any number

So, 1 times a = a.

In other words, any number times 1 = any number.

Two samples:

1. 45 x 1 = 45

2. -567 x 1 = -567

Understand?

3 0
3 years ago
Read 2 more answers
40 POINTS AND BRAINLIEST!! I NEED THIS DONE ASAP
inna [77]

(a) Answer: One solution.

Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."

(b)  Answer: Infinitely many solutions.

Explanation:

2x + 3y = 5.5

4x + 6y = 11   | divide by 2

-->

2x + 3y = 5.5

2x + 3y = 5.5

--> equations are identical.

2x + 3y = 2x + 3y

so any (x,y) will satisfy this equation. This means infinitely many solutions.

(c) Answer: One solution

Explanation:

Continuing the two lines it becomes obvious they will cross at one point (the solution)

(d) Answer: No solution

Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.


8 0
3 years ago
PLS AWNSER FAST I WILL GIVE BRAILIEST
pav-90 [236]

Answer: I believe it's c.

Step-by-step explanation:

3 0
2 years ago
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