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2 years ago

Solve the inequality and express your answer in interval notation -10 <-2x+ 6<-2

Mathematics

1 answer:

cupoosta [38]2 years ago

5 0

Answer:

4<x<8 interval notation is (4,8)

Step-by-step explanation:

hope this helps

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Help Please, anyone good at domain values of composite functions.

Delicious77 [7]

Answer:

second choice

Step-by-step explanation:

$(f \circ g)(x) =$

$= f(g(x))$

$= f(-7x + 7)$

$= \sqrt{-7x + 7 + 3}$

$= \sqrt{-7x + 10}$

Let x = 5:

$(f \circ g)(5) = \sqrt{-7(5) + 10}$

$(f \circ g)(5) = \sqrt{-35 + 10}$

$(f \circ g)(5) = \sqrt{-25}$

Since using x = 5 gives the square root of a negative number, 5 is not in the domain of the composition of the functions.

Answer: second choice

3 0

3 years ago

USPshnik [31]

Answer:

$17,500 at 8%
$17,500 at 14%

Step-by-step explanation:

The fraction that needs to be invested at the higher rate is ...

(11% - 8%)/(14% -8%) = 3%/6% = 1/2

Half the money should be invested at each of the rates:

$17,500 for 8% return

$17,500 for 14% return.

_____

If you let x represent the amount at the higher rate, then the total return is ...

14%x + 8%(35000 -x) = 11%(35000)

(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000

x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x

Note that this formula is exactly the one we started with, above.

4 0

3 years ago

(2,0) (4,5) write an equation that represents the line

Yuliya22 [10]

Answer:

the equation of the line in slope-intercept form would be y=5/2x-5

Step-by-step explanation:

hope this helped!! :D

4 0

2 years ago

Abby did 121 sit ups in 8 minutes estimate the number of sit ups she did in 1 minute

const2013 [10]

You would divide 121 by 8.
121 / 8 = 15.125 So she did about 15 sit ups in a minute. Hope this helps!

4 0

3 years ago

Read 2 more answers

Explain the distance formula. Then use it to calculate the

Alex777 [14]

Answer:

$dAB=10\ units$

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

$dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}$

$dAB=\sqrt{(-8)^{2}+(6)^{2}}$

$dAB=\sqrt{64+36}$

$dAB=\sqrt{100}$

$dAB=10\ units$

6 0

3 years ago

Read 2 more answers