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Anton [14]
3 years ago
14

Solve the equation 4s2+32s=60 by completing the square

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4s^{2} + 32s = 60

divide by 4 throughout

s^{2}  + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2}  = 15 + (\frac{8}{2}) ^{2}

 (s + 4)^{2}  = 31\\s + 4 = \sqrt{31}

s = -4 ± √31

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Given P(E) = 0.15, what is P(E')?
UkoKoshka [18]

Answer:

0.85

Step-by-step explanation:

P(E)+P(E')=1

SO, P(E')=1-P(E)

OR,P(E')=1-0.15

PLEASE MARK MY ANSWER AS BRAINLIEST.

= 0.85

6 0
2 years ago
What is the point-slope form of a line with slope 6 that contains the point
blondinia [14]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,2) and the slope is 6

The equation of the line in point slope form is

<h2>y - 2 = 6( x - 1)</h2>

Hope this helps you

8 0
3 years ago
NO LINKS!!!<br><br>14. Consider the table​
iVinArrow [24]

Answer:

(a) rate of change = 8

(b) Function: y = 8x

(c) Domain: 0 ≤ x ≤ 2

    Range: 0 ≤ y ≤ 16

Explanation:

Looks like a inverse variation sequence.

Inverse Variation formula: y = k(x)

Take two points: (1, 8), (2, 16)

Find the value of k which is constant also considered as <u>rate of change</u>.

<u>Insert values</u>:

  • 8 = k(1)
  • k = 8

===========

  • 16 = k(2)
  • k = 8

Equation: y = 8x

Domain lies in the x axis, Range lies in the y axis.

  • Here domain: 0 ≤ x ≤ 2
  • Here range: 0 ≤ y ≤ 16
5 0
2 years ago
Read 2 more answers
What is the product?( square root 3x+ square root 5) (square root 15x+ 2 square root 30)
hichkok12 [17]
(\sqrt{3x}+\sqrt5)\cdot(\sqrt{15x}+2\sqrt{30})\\\\=(\sqrt{3x})(\sqrt{15x})+(\sqrt{3x})(2\sqrt{30})+(\sqrt5)(\sqrt{15x})+(\sqrt5)(2\sqrt{30})\\\\=\sqrt{(3x)(15x)}+2\sqrt{(3x)(30)}+\sqrt{(5)(15x)}+2\sqrt{(5)(30)}\\\\=\sqrt{45x^2}+2\sqrt{90x}+\sqrt{75x}+2\sqrt{150}\\\\=\sqrt{9x^2\cdot5}+2\sqrt{9\cdot10x}+\sqrt{25\cdot3x}+2\sqrt{25\cdot6}\\\\=\sqrt{9x^2}\cdot\sqrt5+2\sqrt9\cdot\sqrt{10x}+\sqrt{25}\cdot\sqrt{3x}+2\sqrt{25}\cdot\sqrt6
=3x\sqrt5+2\cdot3\sqrt{10x}+5\sqrt{3x}+2\cdot5\sqrt6\\\\=3x\sqrt5+6\sqrt{10}+5\sqrt{3x}+10\sqrt6
3 0
3 years ago
Read 2 more answers
Sofia is learning to knit. After her first three stitches, she had to undo the last two. Then she made three more stitches and a
Marizza181 [45]
She’ll have to make 4 more stitches in order to get 6 good ones. Each time she creates 3 she undoes 2 which after 4 more times would leave her with 6 good stitches.
4 0
3 years ago
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