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sergeinik [125]

3 years ago

13

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

2 answers:

Whitepunk [10]3 years ago

8 0

-10. One type of system of equations that results in infinite solutions is one where both sides of the equation are exactly equal. Here, setting the second equation equal to -10 becomes 2y - 4x = -10. This can be rearranged into 2y = 4x - 10. Dividing everything by 2 results in y = 2x - 5, which is exactly what the first equation is. Substituting one equation into another, we get 2x - 5 = 2x - 5, which is a true statement for all values of x.

Sergio [31]3 years ago

5 0

Answer:

-10

Step-by-step explanation:

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If prices increase at a monthly rate of 3.53.5%, by what percentage do they increase in a year?

coldgirl [10]

15.84
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7 0

2 years ago

Full word for ML for the abbreviated unit of measurement

trapecia [35]

ML stands for Milliliter

6 0

3 years ago

PLEASE HELP ASAP

maria [59]

Answer:

First option: $3x^2-5x=-8$

Second option: $2x^2=6x-5$

Fourth option: $-x^2-10x=34$

Step-by-step explanation:

Rewrite each equation in the form $ax^2+bx+c=0$ and then use the Discriminant formula for each equation. This is:

$D=b^2-4ac$

1) For $3x^2-5x=-8$ :

$3x^2-5x+8=0$

Then:

$D=(-5)^2-4(3)(8)=-71$

Since $D$ this equation has no real solutions, but has two complex solutions.

2) For $2x^2=6x-5$ :

$2x^2-6x+5=0$

Then:

$D=(-6)^2-4(2)(5)=-4$

Since $D$ this equation has no real solutions, but has two complex solutions.

3) For $12x=9x^2+4$ :

$9x^2-12x+4=0$

Then:

$D=(-12)^2-4(9)(4)=0$

Since $D=0$ this equation has one real solution.

4) For $-x^2-10x=34$ :

$-x^2-10x-34=0$

Then:

$D=(-10)^2-4(-1)(-34)=-36$

Since $D$ , this equation has no real solutions, but has two complex solutions.

3 0

3 years ago

What is the gradient of the straight line 2y = -3x - 8 ?

lions [1.4K]

Answer:

- $\frac{3}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x - 4 ← in slope- intercept form

with gradient = - $\frac{3}{2}$

8 0

2 years ago

How do you solve this problem?

Afina-wow [57]

Answer:

x=48

Step-by-step explanation:

x-3 15

------------ = ----------

6 2

We can use cross products to solve this problem

(x-3) *2 = 6*15

Distribute

2x-6 = 90

Add 6 to each side

2x-6+6 = 90+6

2x=96

Divide by 2

2x/2 = 96/2

x = 48

3 0

3 years ago