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2 years ago

Find the value of the variable.

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

5 0

Answer:

boom ganag

Step-by-step explanation:

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Consider the function attached below

Masja [62]

Answer:

Step-by-step explanation:

Hello,

$x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{2f^{-1}(x)}+5\\\sqrt{2f^{-1}(x)} =x-5\\2f^{-1}(x)=(x-5)^2\\f^{-1}(x)=\dfrac{(x-5)^2}{2}$

now let's replace x by 7 it comes

$f^{-1}(7)=\dfrac{(7-5)^2}{2}=\dfrac{2^2}{2}=2$

hope this helps

4 0

3 years ago

Find two consecutive even integers

Fantom [35]

You can set up a system of equations with x being the smaller number and y being the larger number. So the first equation would be 2y=5x-14 and the second equation would be x=y-2. You can solve by substitution and substitute y-2 into the x in the first equation to get 2y=5(y-2)-14. You can solve this out and it ends up simplifying to y=8. So you know the larger number is 8. So since the larger number is 8 and they are consecutive even integers, the smaller number must be 6. So the two numbers would be 6 and 8.

8 0

3 years ago

Suppose you drop a ball from 120 feet. The ball will bounce to 25 of its previous height. What is the total distance the ball tr

tamaranim1 [39]

Answer:

277.1 feets

Step-by-step explanation:

Drop height = 120 feets

Ball bounces 2/5 of previous height

Height after 1st bounce :

120 * 2/5 = 48 feets

Return distance = 48 feets

Height after second bounce :

48 * (2/5) = 19.2 feets

Return distance = 19.2 feets

Height after 3rd bounce :

19.2 * (2/5) = 7.68 feets

Return distance = 7.68 feets

Height after 4th bounce :

7.68 * (2/5) = 3.072 feets

Return distance = 3.072 feets

Height after 5th bounce :

3.072 * (2/5) = 1.2288 feets

(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328

= 277.1 feets

6 0

2 years ago

Ross needs to have a procedure done, and since he is over 65 he is on Medicare. Medicare says that according to their plan the a

Anni [7]

Answer:

$\large \boxed{\$1200.00}$

Step-by-step explanation:

Let the office charge = x

Amount paid by Medicare = ⅞x

Amount paid by Ross = ¼(⅞x) = $262.50

Solve for x

$\begin{array}{rcrl}\dfrac{1}{4} \left(\dfrac{7}{8}x \right ) & = & \$262.50 & \\\dfrac{7}{32}x & = & \$262.50 & \text{Multiplied the fractions}\\\\7x & = & \$8400.00 & \text{Multiplied each side by 32}\\x & = & \mathbf{\$1200.00} & \text{Divided each side by 7}\\\end{array}\\\text{The office wanted to charge } \large \boxed{\mathbf{\$1200.00}}$

Check:

$\begin{array}{rcl}\dfrac{1}{4} \left(\dfrac{7}{8}\times \$1200.00 \right ) & = & \$262.50\\\\\dfrac{1}{4} \left(\$1050.00 \right ) & = & \$262.50\\\\\$262.50 & = & \$262.50\\\end{array}$

OK.

7 0

2 years ago

The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those

ss7ja [257]

The answer is false :)

3 0

3 years ago