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Stella [2.4K]
3 years ago
7

The bottom one says 9/2 so please help with these questions, I have more on my profile.

Mathematics
1 answer:
eimsori [14]3 years ago
7 0

18. Solve for x by factoring diamond method

10x^2 - 29x - 21 = 0 becomes

(2x - 7)(5x + 3) = 0

x = 7/2, -3/5

A

19. To model this we will do

(x + 9)(x + 9) = 169

distribute

x^2 + 18x - 88 = 0

factor

(x - 4)(x + 22) = 0

The length is 4m

D

20. This can be modeled by

(l)(l +5) = 234

distribute

l^2 + 5l -234 = 0

factor

(l-13)(l+18) = 0

The length is 13

The width is 18

B

21. To find this you divide the x term by 2 and square it so

10/2 = 5

5^2

25

B

22. To find this you divide the x term by 2 and square it so

9/2 = 4.5

4.5^2

81/4

C




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F(x) = 2x - 3 and f(x) = f'(x), find the value of x.​
Salsk061 [2.6K]

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

8 0
3 years ago
Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.
Marysya12 [62]

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

  • \ln25+\ln1
  • \ln25

Given information-

The expression given in the problem is,

\ln x+2 \ln 5 +\ln1

<h3>Equivalent expression-</h3>

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

\ln x+2 \ln 5 +\ln1

As the above function is the function of <em>x. </em>Thus it can be written as,

f(x)=\ln x+2 \ln 5 +\ln1

<h3>Logarithm power rule</h3>

Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

f(x)=\ln x+ \ln 5^2 +\ln1\\&#10;f(x)=\ln x+ \ln 25 +\ln1

Now the value of \ln 1 is equal to the zero. Thus,

f(x)=0+\ln 25 +\ln1\\&#10;f(x)=0+\ln 25 +\ln1\\&#10;f(x)=\ln 25 +\ln1\\&#10;f(x)=\ln 25 +0\\&#10;f(x)=\ln 25

Hence the expressions which are equivalent to the given expression are,

  • \ln25+\ln1
  • \ln25

Learn more about the equivalent expression here;

brainly.com/question/10628562

5 0
2 years ago
Read 2 more answers
In a study by the Texas A &amp; M University, found there were 23,000 prairie dogs in Texas in 2000. By 2010, the number has inc
Dima020 [189]

let x=k

D=dog

T=Taxes

I=increase P=population

solve k

d=23,000

t=2000

d=2.3e^

divide both sides by 2

after year is,2000+k2-2.3

=1.999.7

k2- 23,000=

k-x

or

k2-2

5 0
3 years ago
Find the value of x. <br> View picture for full problem. Please and thank you!<br> m&lt;2 = 6x + 12.
Karo-lina-s [1.5K]

Answer:

x = 8

Step-by-step explanation:

All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

4 0
3 years ago
I need help in everything
elena-s [515]
<span>-6f+13=2f-11
-6f - 2f  = -11 - 13
-8f = -24
   f = 3</span>
4 0
3 years ago
Read 2 more answers
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