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2 years ago

Suppose the system of linear equations has no solution. Which is NOT a possible value of the constant for the second equation?

Mathematics

1 answer:

Tom [10]2 years ago

4 0

Answer:

A) 5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.

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A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).

Ksju [112]

Answer:

4x - 5y - 9 = 0

$\frac{9}{4}$

$\frac{-9}{5}$

Step-by-step explanation:

The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by $\frac{y - (-5)}{-5-(-1)} =\frac{x-(-4)}{-4-1}$

⇒ $\frac{y+5}{-4} =\frac{x+4}{-5}$

⇒ 5y + 25 = 4x + 16

⇒ 4x - 5y - 9 = 0 ....(1) (Answer)

Now, this above equation can be represented as

$\frac{x}{\frac{9}{4} } + \frac{y}{\frac{-9}{5} } =1$

Therefore, the x-intercept is $\frac{9}{4}$ (Answer)

And the y-intercept is $\frac{-9}{5}$ . (Answer)

7 0

3 years ago

Read 2 more answers

A rectangular field is to be enclosed by a fence and divided

Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0

2 years ago

X = 7 + 3y

pogonyaev

<h3>Given Equation:</h3>

x = 7 + 3y

or, x - 3y - 7 = 0 ........ (i)

5x + 6y = 14

or, 5x + 6y - 14 = 0 .........(ii)

The value of x and y.

<h3>Solution:</h3>

By dividing eq. ii by 2, we get

5/2x + 3y - 7 = 0 ........ (iii)

By adding eq. i and eq. iii, we get

15/2x = 0

or, <u>x = 0</u> ........(iv)

By putting eq.(iv) in eq. (i), we get

0 - 3y - 7 = 0

or, -3y = 7

or, <u>y = </u><u>-</u><u>7/</u><u>3</u>

<h2>Answer: ( 0, -7/3 )</h2>

The value of x and y is 0 and -7/3 respectively.

5 0

2 years ago

Read 2 more answers

2. A man drove 240 miles south at the rate of 60 miles per hour. On the return trip, he drove the rate of 40 miles per hour. The

shutvik [7]

$av = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}$

$t_{1} = \frac{d}{v_{1}} = \frac{240}{60} = 4 \: hours \\ t_{2} = \frac{d}{v_{2}} = \frac{240}{40} = 6 \: hours$

$av = \frac{v_{2} - v_{1}}{t_{2} - t_{1}} = \frac{40 - 60}{6 - 4} = \frac{ - 20}{2} = - 10$

$av \: speed= 10 \\ av \: velocity = - 10 \: \: north$

3 0

1 year ago

Read 2 more answers

Ethan is thinking of a negative number that is lower than -4 and higher than

s2008m [1.1K]

When the number is odd and a multiple of 3, the number that Ethan is thinking of is -9.

<h3>How to illustrate the number?</h3>

In mathematics, a multiple is the product of any quantity and an integer. It should be noted that, for the quantities a and b, it can be said that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that b/a is an integer.

In this case, Ethan is thinking of a negative number that is lower than -4 and higher than -10 and his number is odd and a multiple of 3. The number is -9 since 9 is a multiple of 3.

Learn more about multiples on:

brainly.com/question/26856218

#SPJ1

7 0

1 year ago