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Ray Of Light [21]
3 years ago
10

Solve in Equal Value Method. 1. y= -x+4 y=2x+1 ​

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Step-by-step explanation:

i guess that is the answer

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Solve 2 log x = log 64. (1 point)
Vladimir79 [104]

Answer:

8

Step-by-step explanation:

2log(x)=log(64)

By logarithms properties

xlog_{a}(b)=log_{a}(b^{x} )  \\

log(x²)=log(64)

When you have log or ln in both sites, you delete them and...

x²=64

\sqrt[]{x^{2} } =\sqrt{64} \\x=8

7 0
3 years ago
You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
At its highest​ point, the elevation of a county is 5,764 feet above sea level. At its lowest​ point, the elevation of the count
Feliz [49]

Answer:

Difference = 5757\ feet

Step-by-step explanation:

Given

Highest\ Point = 5764\ feet

Lowest\ Point = 7\ feet

Required

Determine the difference between the points

The difference is calculated as follows:

Difference = Highest - Lowest

Difference = 5764\ feet - 7\ feet

Difference = 5757\ feet

8 0
3 years ago
Anyone know the answer to any of these.
skad [1K]
A is c=75 B is a=120 C is b= square root of 75 and D= square root of 245
7 0
3 years ago
What is the area of a square when the side length is 2/3cm
Leviafan [203]

\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=\frac{2}{3} \end{cases}\implies A=\left( \cfrac{2}{3} \right)^2\implies A=\cfrac{2^2}{3^2}\implies A=\cfrac{4}{9}

7 0
3 years ago
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