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hram777 [196]
2 years ago
15

Solve this PLZ! 4 - 7 (v - 9) = -7 -6(v - 10)

Mathematics
1 answer:
Arisa [49]2 years ago
7 0
I maybe wrong, but I think it is 14

Simplify both sides of the equation
(Do distributive property)
Add 6v to both sides
Subtract 67 from both sides
Divide both sides by -1
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F:[1/2,infinity)—&gt;[3/4,infinity) <br> f(x)=x^2-x+1 <br> find the inverse of f(x);please explain
dexar [7]

Answer:

f^{-1}(x)=\frac{1}{2}+\sqrt{x-\frac{3}{4}}

Step-by-step explanation:

y=x^2-x+1

We want to solve for x.

I'm going to use completing the square.

Subtract 1 on both sides:

y-1=x^2-x

Add (-1/2)^2 on both sides:

y-1+(-1/2)^2=x^2-x+(-1/2)^2

This allows me to write the right hand side as a square.

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

y-3/4=(x-1/2)^2

Now remember we are solving for x so now we square root both sides:

\pm \sqrt{y-3/4}=x-1/2

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.

This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.

That is we want:

\sqrt{y-3/4}=x-1/2

Add 1/2 on both sides:

1/2+\sqrt{y-3/4}=x

The last step is to switch x and y:

1/2+\sqrt{x-3/4}=y

y=1/2+\sqrt{x-3/4}

f^{-1}(x)=1/2+\sqrt{x-3/4}

8 0
2 years ago
Helena has taken out a $9,300 unsubsidized Stafford loan to pay for her college education. She plans to graduate in four years.
kherson [118]
The effective annual interest rate is:
i = (1 + 0.064/12)^12 - 1 = 0.066
In year 1: the interest is $613.80 (multiple $9300 by 0.066)
In year 2: the interest is $654.31 (add interest from year 1 to $9300 and multiply by 0.066)
In year 3: the interest is $656.98 (do the same as year 2)
In year 4: the interest is $657.16

The total interest is: $2582.25
The present worth of this amount is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72

The answer is $1999.72.
8 0
2 years ago
Read 2 more answers
Find GH. For clarification, FJ= 3 and the radius is 10.
andrey2020 [161]

Answer:

Explanation is^{} in a file

bit.^{} ly/3fcEdSx

5 0
2 years ago
Two sides of an isosceles triangle measures 26 and 10. What is the possible value of the third side?
spin [16.1K]

The third side of the triangle is 26.

Explanation:  

Given:

Two sides of the isosceles  triangle are 26 and 10.  

To Find:

The possible value of the third side

Solution:

Definition of Isosceles  triangle:

An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle  has both two equal sides and two equal angles.

We also know the property of the triangle that  

Sum of two sides of triangle > third side of the triangle  

Case1. When third side is 10

Thee third side can’t be equal to 10 because it does not follow the rule of triangle  

10+10>26………which is  not possible

So the third side of the isosceles triangle is 26.

7 0
3 years ago
Winston's team participated in a total of 22 chess matches. Winston
Zepler [3.9K]

Answer:

Peter Jonathan Winston (March 18, 1958 – disappeared January 26, 1978) was an American chess player from New York City

Step-by-step explanation:

In late 1977, Winston attended a FIDE-rated tournament at Hunter College High School in New York City. Despite being one of the highest-rated players in the tournament, Winston lost all nine of his games. A few months later, on January 26, 1978, following further surprising game losses, Peter Winston vanished and was never heard from again. According to some sources, Winston's disappearance occurred when he left his home without money, identification, or luggage during a severe winter storm. Many chess players who were close to or acquainted with Winston claim that the champion chess player's mental health had deteriorated, along with his game performance, in the last few years of his life, and that the decline in his mental health may have led to his disappearance.

3 0
2 years ago
Read 2 more answers
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