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3 years ago

5

Please help please it's on topic systems of equations

2 answers:

vlada-n [284]3 years ago

6 0

The solution is 4,125

ankoles [38]3 years ago

5 0

The solution is (4, 125) . This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect .

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-5 (-1 + 6)need help

suter [353]

Answer:

-25

Step-by-step explanation: When you multiply to negatives together you get a positive thus being shown in the problem -5 times -1 =5 then you multiply 6 times -5 and whenever you multiply a positive number by a negative you'll always get a negative number so 6 times -5 =-30 then you add 5 and -30 and you get -25. I hope this is right :D

3 0

3 years ago

A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

8 0

3 years ago

The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long i

dolphi86 [110]

Answer:

A = 145cm

Step-by-step explanation:

A+B+C = 445cm

b = 1/2c

a = b+45 = 1/2c + 45

445 = c + (0.5c) + (0.5c + 45)

445 = 2c + 45

445 - 45 = 2c

400/2 = c

c = 200cm

a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm

5 0

3 years ago

Can someone show how to divide Divide 5/8 into 2/5

tekilochka [14]

Answer: 1 9/16

Step-by-step explanation:

1. Switch the numerator and the denominator of the second fraction. (5/8 ÷ 2/5 = 5/8 x 5/2)

2. Multiply the two fractions. (5/8 x 5/2 = 25/16)

3. Simplify the answer. (25/16 = 1 9/16)

5 0

3 years ago

Write the equation of a line that is perpendicular to y =3x-2 and that passes through the point(-9,5)

Oduvanchick [21]

Answer:

y = -1/3x + 8

Step-by-step explanation:

If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.

(basically if one is say -2/3, the other is 3/2. just flip it upside down)

So this slope is 3, so the new slope should be -1/3

The equation is now y = -1/3x + b

To find b, substitute (-9,5) in the equation

y = -1/3x + b

5 = -1/3(9) + b

5 = -3 + b

8 = b

So the equation is y = -1/3x + b

7 0

4 years ago

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