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4 years ago

I need to know what Sally did wrong and how to correctly solve the problem

Mathematics

1 answer:

swat324 years ago

6 0

Step 1: Simplify both sides of the equation.14n+5=13Step 2: Subtract 5 from both sides.14n+5−5=13−514n=8Step 3: Multiply both sides by 4.4*(14n)=(4)*(8)n=32Answer:n=32

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How many real number solutions exist for 2x2 + 8x + 8 = 0?

klasskru [66]

Hello,

There is one solution with multiplicity 2.
$2x^2+8x+8=0\\
2(x^2+4x+4)=0\\
2(x+2)^2=0\\
Sol=\{ {-2}\}$

4 0

4 years ago

Solve the radical equation x – 7 = square root of -4x+28. Which statement is true about the solutions to the radical equation? T

Julli [10]

Answer:

x = 3 and 7

There are two true solutions.

Step-by-step explanation:

To solve $x-7 = \sqrt{-4x+28}$ , use inverse operations by squaring both sides of the equal sign.

$(x-7)^2 = (\sqrt{-4x+28})^2\\x^2-14x+49 = -4x+28\\x^2-14x+4x+49-28 = 0\\x^2-10x+21=0$

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.

(x - 3) ( x - 7) = 0

x-3 = 0 so x=3

x-7 = 0 so x=7

Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

$7-7 = \sqrt{-4(7)+28}\\ 0=0$

and

$3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4$ [/tex]

3 0

3 years ago

Find an equation of the parabola with focus (2, −3) and directrix y = 1.

Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be P(x,y) .

The distance of P from the directrix is

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

The required equation of the parabola is

5 0

3 years ago

Help, just tell me the answer pls I need it by 9:00 am

xxTIMURxx [149]

Answer:

Step-by-step explanation:

SO sorry if wrong but it makes sense to me. if right ur welcome. Brainliest pls. jk i don't ask for that, that is up to you all to choose.

7 0

2 years ago

Read 2 more answers

Solve for y in the proportion

maxonik [38]

Answer:

y = 1

Step-by-step explanation:

$\frac{y + 3}{16} = \frac{2}{8} \\ = > y + 3 = \frac{2 \times 16}{8} \\ = > y + 3 = 2 \times 2 \\ = > y + 3 = 4 \\ = > y = 4 - 3 \\ = > y = 1$

8 0

3 years ago