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Hunter-Best [27]
3 years ago
8

7=40/z-1 z= what dose the z equal?

Mathematics
2 answers:
monitta3 years ago
8 0

Answer:

z =  \frac{47}{7} = 6 \frac{5}{7}

Step-by-step explanation:

7 =  \frac{40}{z - 1}  \\ 7(z - 1) = 40 \\ 7z - 7 = 40 \\ 7z = 40 + 7 \\ 7z = 47 \\

\boxed{\bold{Answer:{\boxed{\green{\bold{z =  \frac{47}{7} = 6 \frac{5}{7}}}}}}}

┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱   

╭─────────

┊╭─────────

┊✿꒷꒦ ☆♤♡◇

╰─────────

★ . ꜝꜞ ᳝ ࣪ hope that helped!  ʬʬ

pickupchik [31]3 years ago
8 0

Answer:

z = 5

Step-by-step explanation:

7=40/z-1

- Add 1 to both sides.

8 = 40/z

- Multiply z to both sides.

8(z) = 40/z (z)

8z = 40

z = 5

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<h2>Problem 6:</h2><h2>a)</h2>

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The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

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