Choose all the expressions that are equal to 6.

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

Complemetary angles are two angles whose measures add up to 90 degrees. The ratio of the measures of two complementary angles is

pochemuha

Let A and B be the two complementary angles.

A = smaller angle = 2x

B = larger angle = 13x

x = some unknown number

Note how the ratio A:B turns into 2x:13x which simplifies to 2:13

A+B = 90 ... because the angles are complementary

2x+13x = 90 ... substitution

15x = 90

x = 90/15

x = 6

A = 2*x = 2*6 = 12 degrees

B = 13*x = 13*6 = 78 degrees

The two angles are 12 degrees and 78 degrees.

Check:

A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13

A+B = 12+78 = 90

3 0

3 years ago

A country's population in 1993 was 94 million. in 1999 it was 99 million

Ulleksa [173]

Answer:

i dont get it

Step-by-step explanation:

5 0

3 years ago

A Flagpole casts a shadow 32 feet long. If a man is 6 feet tall casts a shadow 8 feet long at the same time and location. How ta

Kaylis [27]

24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.

4 0

3 years ago

The graph shows f(x)=(1/2)and its translation, g(x).

san4es73 [151]

The translation of four units up describes the transform function g(x) option first is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is:

The graph shows f(x)=(1/2)ˣ and its translation, g(x).

Which describes the translation of f(x) to g(x)?

Translation of four units up
Translation of five units up
Translation of four units to the right
Translation of five units to the right

The graph is attached please refer to the picture.

We have the equation of the function f(x):

$\rm f(x) = (\dfrac{1}{2})^x$

From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)

g(x) = f(x) + 4

$\rm g(x) = (\dfrac{1}{2})^x + 4$

Thus, the translation of four units up describes the transform function g(x) option first is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0

2 years ago