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NNADVOKAT [17]
3 years ago
15

PLEASE HELP!!!!!!!!The system of equations is inconsistent.

Mathematics
1 answer:
krok68 [10]3 years ago
3 0
5x+ay=2 \\
bx+3y=8

Write it in the y=mx+b form.

ay=-5x+2 \\
3y=-bx+8 \\ \\
y=-\frac{5}{a}x+\frac{2}{a} \\
y=-\frac{b}{3}x+\frac{8}{3}

The system will be inconsistent when the equations describe two parallel lines.
Two lines are parallel when their slopes are identical.
-\frac{5}{a}=-\frac{b}{3} \\
ab=(-5) \times (-3) \\
ab=15

Also they can't be the same line, so the y-intercepts must be different.
\frac{2}{a} \not= \frac{8}{3} \\
8a \not= 2 \times 3 \\
8a \not= 6 \\
a \not= \frac{6}{8} \\
a \not= \frac{3}{4}

So for every value of a and b such that ab=15 and a≠3/2 this system of equations is inconsisent.

It can be:
5x+5y=2 \\
3x+3y=8
or
5x+15y=2 \\
x+3y=8
or
5x+\frac{1}{2}y=2 \\
30x+3y=8
etc.
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Find the perimeter of the figure to the nearest hundredth. perimeter: about cm
nordsb [41]

The perimeter of the figure to the nearest hundredth is 50.26 cm.

<h3>Perimeter of a figure.</h3>

The perimeter of a figure is the sum of the whole sides of the figure.

The perimeter of the figure can be found as follows:

perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle

circumference of the semi circle  = πr

where

  • r = radius

perimeter of the figure = 22 + πr

perimeter of the figure = 22 + 3.14(9)

perimeter of the figure = 22 + 28.26

perimeter of the figure = 50.26 cm

learn more on perimeter here: brainly.com/question/11419989

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6 0
2 years ago
see i don't mind giving my points away..Can anyone help me solve this though for a brainlest and extra points?​
victus00 [196]

Answer:

a=17\sqrt{2}

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: a^2+b^2=c^2

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}

6 0
3 years ago
Read 2 more answers
The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla
Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0
3 years ago
What is an equivalent fraction for 4/12
const2013 [10]

Answer:1/3

its 1/3 because 4 dived by 4 = 1 and 12 dived by 4 =3 so answer is 1/3

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5,111 ÷ 3 it wont show up on calculator
Mashcka [7]

Answer:

Step-by-step explanation:

In calculator the answer is 1703.66666667

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3 years ago
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