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2 years ago

In Exercise,solve for x. x2 + 4x - 5 = 0

Mathematics

1 answer:

Anni [7]2 years ago

6 0

Answer:

${x}^{2} + 5x - x - 5 = 0 \\ x(x + 5) - 1(x + 5) = 0 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1$

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How do I simplify before multiplying

patriot [66]

6x2 = 12

12 / 3 = 4 <span>6=6/1 so you do the numerators x the denominators which is 6x2/1x3=12/3 then simplify and make into a mixed number so final answer is 4</span>

7 0

2 years ago

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

The average cost for a gallon of gasoline increased from $2.56 one year to $3.18 the next year. What is the percent of increase,

Kitty [74]

From 2.56 to 3.18; 3.18-2.56=0.62 increased
so if 2.56 represented 100%
0.62 represents ? %
cross multiply
?%= 0.62·100/2.56=24.21875 which rounded to the nearest whole is 24%
Answer is B).

7 0

2 years ago

Read 2 more answers

What would Y be equal to in the problem 0.5x + 0.6y = 5.4

Alla [95]

Answer:

y = - $\frac{5}{6}$ x + 9

Step-by-step explanation:

0.5x + 0.6y = 5.4

0.6y = -0.5x + 5.4

Multiply 10 on all sides.

6y = -5x + 54

Divide 6 on all sides.

y = - $\frac{5}{6}$ x + 9

7 0

1 year ago

Pedro has 3 boxes of 6 markers. Rafael has 5 boxes of 5 markers. One of the friends arranges all his markers into 2 equal groups

Komok [63]

Answer:

see below

Step-by-step explanation:

Pedro has 3 boxes of 6 markers.

3*6 = 18 markers

We can divide this by 2 because this is even

18/2 = 9

There are 9 in each group

Rafael has 5 boxes of 5 markers

5*5 = 25

We cannot divide this by 2 because this is odd

3 0

2 years ago