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3 years ago

Solve the equation x2 = 5.

Mathematics

1 answer:

hram777 [196]3 years ago

7 0

Answer:

±√5

Step-by-step explanation:

x² = 5

x = ±√5

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Burka [1]

Answer:

Step-by-step explanation:

1. 2 + 3{(4 - 1)2}

let solve the bracket first

2+3{(3)2}

2+3(9)

2 + 27

=29

2. 3y - ( x +2)

where x = -5 and y = 3

3(3) - (-5 + 2)

9 + 5 - 2

i multiply the bracket with negative sign

9 + 3

= 12

3. 2(4x - 3) + 3x

distribute

8x - 6 + 3x

combine the like terms

8x + 3x -6

3 0

3 years ago

A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

aniked [119]

Answer:

$18.97 \text{ and }12.65\text{ft}$

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence $=240\text{ sq. ft}$

let the length of fence $=x$

let the width of fence $=y$

let $x$ be the smaller side

Area of rectangular fence enclosure $=xy$

$xy=240$

$y=\frac{240}{x}$

cost of fence along three sides $=6 \text{ dollars per feet}$

cost of fence along fourth side $=12 \text{ dollars per feet}$

length of fence $=2x+2y$

cost of fence building $=6(2x+y)+12y$

$=12x+18y$

putting value of $y$

$=12x+18\times\frac{240}{x}$

$=12x+4320x^{-1}$

to find minimum value differentiating the equation

$12-\frac{4320}{x^{2} }=0$

$x^{2} =\frac{4320}{12}$

$x^{2} =360$

$x=18.97\text{ft}$

$y=12.65\text{ft}$

Hence the dimensions of the enclosure that is most economical to construct are $18.97\text{ft}$ and $12.65\text{ft}$

8 0

3 years ago

Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients t

Triss [41]

He would want to charge $0.85 per glass of lemonade to cover his expenses and have $10.00 profit. But in reality he would'nt make $17.00 because people don't carry freaking nickels and dimes.

3 0

3 years ago

Read 2 more answers

9: The points (−2,5) and (5,−9) lie on the same line. What is its equation in slope-intercept form of this line? y= x +

iren2701 [21]

Answer:

y=negative 2x+1

Step-by-step explanation:

rise over run negative 14 over 7 equals negative 2 and the y intercept is 1

5 0

3 years ago

Is 4/9 half of 8/18 ?

elixir [45]

Divide by 2 and find out.

4/9 / 2

Multiply by its reciprocal:

4/9 * 1/2

Multiply the numerators and denominators together:

4/18

4/18 does not equal 8/18, so 4/9 isn't half of 8/18.

5 0

3 years ago

Read 2 more answers